Transcript Summary
Review CIVL3310 STRUCTURAL ANALYSIS Professor CC Chang What is Structural Analysis? Planning Preliminary design Load estimation Structural analysis Safety/serviceability Yes Construction No Revised design What is Structural Analysis? Real structure Factors: Load, Temperature, etc. Structure Performance Deformation, Stress, etc. Model Intended Learning Outcomes • Ability to analyze the performance of structural systems under loads or other external effect • Ability to comprehend and present the structural analysis results which can support the design of structural components and systems • Ability to conduct laboratory tests, validate test results using various methods, and understand the discrepancies between the test and the analysis results What Have Been Covered? Classification of structural forms, modeling of structural systems and structural elements and determination of loads Axial force, shear force and bending moment Analysis of statistically determinate structures Influence lines and their applications Deflection Analysis of statistically indeterminate structures Approximate analysis of building frames Force method Energy method Slope-deflection method Moment-distribution method Analysis of Determinate Structures Influence Lines and Applications • Definition • Müller-Breslau’s Principle • Influence Lines and Distributed Loads • Influence Lines + Design Load Calculation of Deflections for Determinate Structures • Direct integration • Moment-area methods • Conjugate-beam method • Energy methods Direct Integration + disp Bernoulli-Euler beam d2y M 2 dx EI M y dx dx EI dθ M dx EI θ M dx EI apply boundary conditions Moment-Area Methods 1st moment-area theorem 2nd moment-area theorem + M dx A EI B/ A B tA/ B BM x A EI dx Conjugate-Beam Method • Mathematical equivalence M -slope-deflection EI Load-shear-moment M EI w θ V y M Actual beam Conjugate beam Energy Methods • Virtual Work Principle W U Real member deformation Real deformation F f d Virtual external load Trusses = Beams = Frames = Virtual internal loads fL EA M dx M EI f f fL M M dx EA EI Work-Energy Methods • Castigliano’s Theorem U i Pi Trusses Beams Frames • Betti’s Law Pi Qi Qi Pi f 2L U 2 EA M2 U dx 2 EI f 2L M2 dx 2 EA 2 EI Analysis of Indeterminate Structures Approximate Analysis of Rectangular Building Frames • Vertical Loads 0.1 L • Horizontal Load – Portal - Cantilever s1 2s1 s1 s1 2s1 s1 CL Force Methods • Compatibility – Choose redundant forces – Calculate deflection case by case – Superposition B By f BB 0 B=0 By Energy Principle • Least Work & Castigliano’s principles P2 P1 F1 U P P U 0 F F2 Pm Fn Forces thatdo work Forces thatdo no work Slope-Deflection Method • Slope-Deflection Equations M ij 2EI ij L ij 2i j 3 ij FEM ij A B MBA A’ MAB A B AB B’ L Moment-Distribution Method • Distribution Factors and Carry-Over • FEM • Procedure 4 EI K L 3EI K L 1 CO 2 CO 0 How to Become a Good Structural Engineer? CIVL2110 Statics and Dynamics ODE, FT, NM CIVL2120 Mechanics of Materials CIVL3310 Structural Analysis CIVL3320 Concrete Design CIVL4370 Computer Methods CIVL4320 Steel Design CIVL4330 Structural Dynamics ? CIVL5310 Tall Building Design CIVL5350 Bridge Engineering CIVL5370 Wind Effects Shanghai World Finance Center 上海环球金融中心 Taipei 101 Base Isolation Stonecutters Bridge Hong Kong-Zhuhai-Macao Bridge Hong Kong Link Road Hong Kong-Zhuhai-Macao Bridge Hong Kong Link Road Hong Kong-Zhuhai-Macao Bridge Hong Kong Link Road Smart Structures Sense and Respond Comments are welcome! ENDING… HOPE I DON’T SEE YOU AGAIN IN THIS COURSE!