Transcript Chapter 4: Normal, Bending, and Transverse Shear Stresses

Chapter 4: Normal, Bending, and Transverse
Shear Stresses and Strains
I am never content until I have constructed a
mechanical model of the subject I am studying.
If I succeed in making one, I understand;
otherwise, I do not.
William Thompson (Lord Kelvin)
Image: A portion of the collapsed Hyatt Regency
Walkway which claimed over 100 lives.
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Hamrock, Jacobson and Schmid
Centroid of Area
Figure 4.1 Centroid of Area
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text reference: Figure 4.1, page 139
Hamrock, Jacobson and Schmid
Example 4.1
Figure 4.2 Rectangular hole within a rectangular
section used in Example 4.1.
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text reference: Figure 4.2, page 140
Hamrock, Jacobson and Schmid
Area Moment of Inertia
Figure 4.3 Area with coordinates used in describing
area moment of inertia.
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text reference: Figure 4.3, page 140
Hamrock, Jacobson and Schmid
Example 4.2
Figure 4.4 Circular cross section, used in Example 4.2.
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text reference: Figure 4.4, page 141
Hamrock, Jacobson and Schmid
Parallel-Axis Theorem
Figure 4.5 Coordinates and distance used in describing
parallel-axis theorem.
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text reference: Figure 4.5, page 142
Hamrock, Jacobson and Schmid
Example 4.3
Figure 4.6 Triangular cross section with circular hole
within it.
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text reference: Figure 4.6, page 143
Hamrock, Jacobson and Schmid
Example 4.4
Figure 4.7 Circular cross-sectional
area relative to x’-y’ coordinates,
used in Example 4.4.
©1998 McGraw-Hill
text reference: Figure 4.7, page 144
Hamrock, Jacobson and Schmid
Centroid, Area Moment of Inertia and Area
Table 4.1 Centroid, area moment of inertia, and area for seven cross sections.
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text reference: Table 4.1, page 146
Hamrock, Jacobson and Schmid
Centroid, Area Moment of Inertia and Area (cont.)
Table 4.1 Centroid, area moment of inertia, and area for seven cross sections
(part 2 of 2).
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text reference: Table 4.1, page 146
Hamrock, Jacobson and Schmid
Mass Element
Figure 4.8 Mass element in threedimensional coordinates and
distance from the three axes.
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text reference: Figure 4.8, page 147
Hamrock, Jacobson and Schmid
2D Mass Element
Figure 4.9 Mass element in two dimensional coordinates
and distance from the two axes.
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text reference: Figure 4.9, page 147
Hamrock, Jacobson and Schmid
Mass and Mass Moment of Inertia
Table 4.2 Mass and mass moment of inertia for six solids.
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text reference: Table 4.2, page 148
Hamrock, Jacobson and Schmid
Mass and Mass Moment of Inertia (cont.)
Table 4.2 Mass and mass moment of inertia for six solids.
©1998 McGraw-Hill
text reference: Table 4.2, page 148
Hamrock, Jacobson and Schmid