For the truss shown, members BF, CF, CG, and DG each have cross-sectional areas of 750 mm². All other mem- bers have cross-sectional areas of 1,050 mm². The elastic modulus of all members is 70 GPa. Compute the horizontal deflection at joint G. Use Virtual-work method and Castigliano's second theorem. Compare both results. 4.0 m 3.0 m A 50 KN 3.0 m 75 kN 3.0 m 3.0 m E 25 KN

For the truss shown, members BF, CF, CG, and DG each have cross-sectional areas of 750 mm². All other mem- bers have cross-sectional areas of 1,050 mm². The elastic modulus of all members is 70 GPa. Compute the horizontal deflection at joint G. Use Virtual-work method and Castigliano's second theorem. Compare both results. 4.0 m 3.0 m A 50 KN 3.0 m 75 kN 3.0 m 3.0 m E 25 KN

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Equilibrium and Support Reactions

Civil engineers deal with structures that are composed of several members connected or with individual members such as beams and columns. To analyze such structures, the condition of statics must be applied. Under the static condition, the members are considered to be in equilibrium under the action of forces, that is, the members are assumed to be having negligible velocity.

Question

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1/1 |
4.0 m
For the truss shown, members BF, CF, CG, and DG each
have cross-sectional areas of 750 mm². All other mem-
bers have cross-sectional areas of 1,050 mm². The elastic
modulus of all members is 70 GPa. Compute
Rúbrica:
the horizontal deflection at joint G.
Use Virtual-work method and Castigliano's second
theorem. Compare both results.
3.0 m
154451477 X G for the trus xb Answered: x b Enter your x +
B
75 KN
80% + | @
A
3.0 m
3.0 m
50 kN
3.0 m
Valor 40% del Segundo corte
CM
E
25 KN
14°C Lluvia intensa
(4) ESP
0
M
6:34 p. m.
21/08/2023
⠀
X
:

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Step 1: Introducing Given Data

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Step 2: Calculate reactions & Joint A, E forces

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Solution

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Step 3: Calculation of Joint B, D & C

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Step 4: Application of Virtual work method

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Step 5: Calculation of Joint A, B & C

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Step 6: Calculation of Horizontal deflection at G

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Step 7: Application of Castigliano's theorem

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Step 8: Calculation of Joint A, E & B

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Step 9: Calculation of Joint D & C

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Step 10: Calculation of Horizontal deflection at G

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