Problem 1. Determine the vertical displacement of joint A. Each bar is made of steel and has the cross-sectional area shown. Take E = 29,000 ksi. Use the method of virtual work. A 10 k to 056 2 in² 3 in² 10 ft E 3 in² an@d B os /olee 2 in² 2 in² 3 in² 10 ft Figure 1 Problem 2. Solve Problem 1 using Castigliano's theorem. 6 k D 3 in² 10 ft с

Problem 1. Determine the vertical displacement of joint A. Each bar is made of steel and has the cross-sectional area shown. Take E = 29,000 ksi. Use the method of virtual work. A 10 k to 056 2 in² 3 in² 10 ft E 3 in² an@d B os /olee 2 in² 2 in² 3 in² 10 ft Figure 1 Problem 2. Solve Problem 1 using Castigliano's theorem. 6 k D 3 in² 10 ft с

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

Problem 1. Determine the vertical displacement of joint A. Each bar is made of steel and has the
cross-sectional area shown. Take E = 29,000 ksi. Use the method of virtual work.
A
10 k
to
056
2 in²
3 in²
10 ft
E
3 in²
an@d
B
os /olee
2 in²
2 in²
3 in²
10 ft
Figure 1
Problem 2. Solve Problem 1 using Castigliano's theorem.
6 k
D
3 in² 10 ft
с

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Step 3: Member forces due to real loads

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Step 4: Member forces due to virtual load

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