ENGI 1313 Mechanics I Lecture 32: Analysis of Frames and Machines Shawn Kenny, Ph.D., P.Eng. Assistant Professor Faculty of Engineering and Applied Science Memorial University of.
Download ReportTranscript ENGI 1313 Mechanics I Lecture 32: Analysis of Frames and Machines Shawn Kenny, Ph.D., P.Eng. Assistant Professor Faculty of Engineering and Applied Science Memorial University of.
Slide 1
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 2
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 3
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 4
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 5
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 6
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 7
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 8
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 9
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 10
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 11
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 12
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 13
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 14
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 15
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 16
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 17
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 18
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 2
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 3
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 4
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 5
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 6
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 7
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 8
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 9
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 10
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 11
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 12
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 13
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 14
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 15
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 16
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 17
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Slide 18
ENGI 1313 Mechanics I
Lecture 32:
Analysis of Frames and Machines
Shawn Kenny, Ph.D., P.Eng.
Assistant Professor
Faculty of Engineering and Applied Science
Memorial University of Newfoundland
[email protected]
Miscellaneous Notes
Friday November 9 Lecture Postponed
Last Quiz
This week of November 5-9
Method of Joints and Sections for Trusses
Remaining Tutorial Sessions
General sessions
Problems will be selected for you to complete
Problem sets will be posted during week of
November 11
2
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Miscellaneous Notes (cont.)
Mid-Terms Exams
All exams have not been collected
No Record of Mid-Term
Student numbers
• 200402782
• 200565687
• 200672285
• 200714459
3
Contact me immediately to resolve
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Chapter 32 Objectives
to define frames and machines
to develop the equations of equilibrium for
frames and machines
to determine joint forces and support
reactions for frames and machines
4
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines
Frames
Stationary
Support loads
5
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
Machines
Moving parts
Transmit or alter effects of loads
6
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
7
How are Frames
and Machines
Different from
Truss Structures?
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Frames and Machines (cont.)
How are Frames and
Machines Different
from Truss
Structures?
8
Multi-force member(s)
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Analysis of Frames and Machines
Key Steps for Analysis
1.
2.
3.
Establish coordinate system
Draw FBD
Identify unknown forces and moments
•
4.
Identify Structural Characteristics
•
•
9
Typically define rectangular components
Two-force members
Connecting members
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-01
Forces common to any two connecting
members act with _______ on the
other member.
10
A) equal magnitudes but opposite sense
B) equal magnitudes and the same sense
C) different magnitudes but opposite sense
D) different magnitudes but the same sense
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01
When determining the reactions at joints A, B,
and C, what is the minimum number of
unknowns for solving this problem?
11
A) 3
B) 4
C) 5
D) 6
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Any Structural Characteristic to Identify?
FAB is a two-force member
12
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Use What Equilibrium Equation First?
M
C
13
© 2007 S. Kenny, Ph.D., P.Eng.
0
ENGI 1313 Statics I – Lecture 32
Example 32-01 (cont.)
Can the Problem be Solved if the
Two-Force Member was not Identified?
Yes
How?
Apply Equilibrium Equations
to Each Structural Member
14
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-02
The FBD is shown.
If a couple moment was
applied at C, does the
FBD of member BC at
Joint B change?
15
MC
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
MC
Answer: A
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
16
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
© 2007 S. Kenny, Ph.D., P.Eng.
F
ENGI 1313 Statics I – Lecture 32
Comprehension Quiz 32-03
The FBD is shown.
If an additional force is
applied to member AB,
does the FBD of member
BC at Joint B change?
F
A) No change
B) Two forces, BX and BY
C) Two forces and a
moment at B
D) One moment at B
Answer: B
F
17
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32
References
http://en.wikipedia.org
Hibbeler (2007)
http://wps.prenhall.com/esm_hibbeler_eng
mech_1
18
© 2007 S. Kenny, Ph.D., P.Eng.
ENGI 1313 Statics I – Lecture 32