Castigliano's Second Theorem - Truss Determine the vertical displacement of joint B. AE is constant. Use the principle of virtual work. 1.5 m B 1.5 m 2m 78 kN

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Castigliano's Second Theorem - Truss
Determine the vertical displacement of joint B. AE is constant. Use the principle of virtual work.
E
-1.5 m
|B
1.5 m
2m
8 kN
Transcribed Image Text:Castigliano's Second Theorem - Truss Determine the vertical displacement of joint B. AE is constant. Use the principle of virtual work. E -1.5 m |B 1.5 m 2m 8 kN
Member
AB
BC
BD
CD
AD
DE
AB。
n (kN)
0
0
1
0
-1.25
0.75
1 kN. AB, = "
Σ΄
=
nNL
AE
N (kN)
-6
-6
44.75 kN. m
AE
0
10
- 10
12
44.75 kN².m
AE
L (m)
1.5
1.5
2
2.5
2.5
1.5
nNL (kN².m)
0
0
0
0
31.25
13.5
Σ 44.75
Ans
Transcribed Image Text:Member AB BC BD CD AD DE AB。 n (kN) 0 0 1 0 -1.25 0.75 1 kN. AB, = " Σ΄ = nNL AE N (kN) -6 -6 44.75 kN. m AE 0 10 - 10 12 44.75 kN².m AE L (m) 1.5 1.5 2 2.5 2.5 1.5 nNL (kN².m) 0 0 0 0 31.25 13.5 Σ 44.75 Ans
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