8-7. Determine the vertical displacement of joint A. Each bar is made of steel and has the cross-sectional area shown. Take E = 29(10³) ksi. Use the method of virtual work. 6k 2 in² 3 in² 8 ft E 3 in² B boood had Solve Prob. 8-7 using Castigliano's theorem. 2 in² 2 in² 3 in² -8 ft D 3k 3 in² 8 ft C

8-7. Determine the vertical displacement of joint A. Each bar is made of steel and has the cross-sectional area shown. Take E = 29(10³) ksi. Use the method of virtual work. 6k 2 in² 3 in² 8 ft E 3 in² B boood had Solve Prob. 8-7 using Castigliano's theorem. 2 in² 2 in² 3 in² -8 ft D 3k 3 in² 8 ft C

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

Matrix Algebra for Structural analysis

Structural analysis is a process in which the effects of different loads and internal forces, acting on structures and their elements are determined. This method of analysis is effective in detecting the failure loads of the structural elements and the design can be altered before commencing the construction process, which ensures proper strength and safety of the structures.

Question

8-7. Determine the vertical displacement of joint A. Each
bar is made of steel and has the cross-sectional area shown.
Take E = 29(10³) ksi. Use the method of virtual work.
A
6k
2 in²
3 in²
8 ft-
E
3 in²
DOG
had
B
2 in²
Solve Prob. 8-7 using Castigliano's theorem.
2 in²
3 in²
-8 ft
3kV
3 in² 8 ft
C

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Step 1: Given data

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Step 2: Finding the support reactions of the given Truss:-

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Step 3: Finding the P forces due to given loads:-

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Step 4: Finding k forces due to applied load at A of the given Truss system:-

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Step 5: By using virtual work method to finding the vertical displacement of joint A :-

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