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CIVL3310 STRUCTURAL ANALYSIS CIVL3310 STRUCTURAL ANALYSIS Professor CC Chang Professor CC Chang Introduction to Introduction to Matrix based techniques Matrix based techniques
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CIVL3310 STRUCTURAL ANALYSISCIVL3310 STRUCTURAL ANALYSISProfessor CC ChangProfessor CC Chang
Introduction toIntroduction toMatrix based techniquesMatrix based techniques
Slope-Deflection Relationship
A B
MAB
MBA
AB
AB
L
BAABBABA
ABABBAAB
FEMψ3θ2θL
EI2M
FEMψ3θθ2L
EI2M
L
Δ=
moment/rotation +
MBA
A B
MAB
AB
AB
AB
L
VAB
VBA
L
L
AB
AB
3θ2θL
EI2M
3θθ2L
EI2M
BABA
BAAB
L
MMV
L
MMV
BAAB
BAAB
BA
AB
B
B
A
A
BA
BA
AB
AB
LLLL
LL
LLLL
LL
L
EI
M
V
M
V
22
22
3
4626
612612
2646
612612
Matrix based Techniques
MBA
MBA
A B
MAB
AB
AB
AB
L
VAB
VBA
B
B
A
A
BA
BA
AB
AB
LLLL
LL
LLLL
LL
L
EI
M
V
M
V
22
22
3
4626
612612
2646
612612
A B M
B
B
A
A
BA
BA
AB
AB
LLLL
LL
LLLL
LL
L
EI
M
V
M
V
22
22
3
4626
612612
2646
612612
A=0A=0
B=0B≠0
=0
=0
=0M=
BLL
EIM 2
34
EI
MLB 4
M
LM
M
LM
M
V
M
V
BA
BA
AB
AB
23
2
23
M/2
3M/2L 3M/2L
Matrix based Techniques
MBA
MBA
A B
MAB
AB
AB
AB
L
VAB
VBA
B
B
A
A
BA
BA
AB
AB
LLLL
LL
LLLL
LL
L
EI
M
V
M
V
22
22
3
4626
612612
2646
612612
A B
B
B
A
A
BA
BA
AB
AB
LLLL
LL
LLLL
LL
L
EI
M
V
M
V
22
22
3
4626
612612
2646
612612
A=0A=0
B≠0B≠0
=0
=0
0=
B
B
LL
L
L
EIP23 46
612
0
EI
PLEI
PL
B
B
2
32
3
0
P
PL
P
M
V
M
V
BA
BA
AB
AB
PL
PP
P=
Finite Element Methods
Learn more from
CIVL4370 Computer Methods of Structural Analysis
CIVL5390 Finite Element Methods
