CIVL3310 STRUCTURAL ANALYSISProfessor CC Chang
Review
What is Structural Analysis?
Reviseddesign
No
Planning
Preliminary design
Structural analysis
Load estimation
Safety/serviceability
Construction
Yes
What is Structural Analysis?
Structure
Factors:Load, Temperature, etc.
PerformanceDeformation, Stress, etc.
Real structure
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
Bernoulli-Euler beam
EIM
dxyd
2
2
EIM
dxdθ
dxdxEIMy dx
EIMθ
apply boundary conditions
+ disp
Moment-Area Methods
+
dxEIMB
AAB /
1st moment-area theorem 2nd moment-area theorem
dxEIMxt B
ABA /
Conjugate-Beam Method
• Mathematical equivalence -slope-deflection Load-shear-momentEIM
EIM
θ
y
w
V
M
Actual beam Conjugate beam
Energy Methods• Virtual Work Principle
UW
dfF Virtual external load
Real deformation
Virtual internal loads
Real member deformation
Trusses =
Beams =
Frames =
EAfLf
dxEIMM
dxEIMM
EAfLf
Work-Energy Methods• Castigliano’s Theorem
• Betti’s Law
iiPU
Trusses
Beams
Frames
EALfU
2
2
dxEIMU2
2
dxEIM
EALf
22
22
ii PiQi QP
Analysis of Indeterminate Structures
Approximate Analysis of Rectangular Building Frames
• Vertical Loads
• Horizontal Load– Portal - Cantilever
0.1 L
s1 2s1 s1
s1 2s1 s1
CL
By
B=0
Force Methods• Compatibility
– Choose redundant forces– Calculate deflection case by case– Superposition
0 BByB fB
=
Energy Principle• Least Work & Castigliano’s principles
workno do that Forces0
workdo that Forces
FUPU
P
P1
FnF2F1
PmP2
Slope-Deflection Method• Slope-Deflection Equations
ijijjiij
ijij FEM32
L
EI2M
A B
A’B’
MAB
MBA
AB
AB
L
Moment-Distribution Method• Distribution Factors and Carry-Over
• FEM• Procedure
214
COLEIK
03 CO
LEIK
How to Become a Good Structural Engineer?
CIVL2110Statics and Dynamics
CIVL2120Mechanics of Materials
CIVL3310Structural Analysis
CIVL3320Concrete Design
CIVL4320Steel Design
CIVL4330Structural Dynamics
CIVL5310Tall Building Design
CIVL5350Bridge Engineering
CIVL5370Wind Effects
ODE, FT, NM
?
CIVL4370Computer Methods
Shanghai World Finance Center上海环球金融中心
Taipei 101
Base Isolation
Stonecutters Bridge
Hong Kong-Zhuhai-Macao BridgeHong Kong Link Road
Hong Kong-Zhuhai-Macao BridgeHong Kong Link Road
Hong Kong-Zhuhai-Macao BridgeHong Kong Link Road
Smart StructuresSense and Respond
ENDING…
HOPE I DON’T SEE YOU AGAIN IN THIS COURSE!
Comments are welcome!