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. Solve Prob. 9–7 using Castigliano’s theorem. 6 kE2 in.?D2 in.?2 in.?3 in.?3 in.2 4 ftBAl003 in.?3 in.?4 ft4 ft6 kProbs. 9–7/8S po

The support reactions will be: The moment at Joint D : ∑MD=06×8+6×4=4ByBy=18 kip

Answered: 6 k E 2 in.? D 2 in.? 2 in.? 3 in.? 3…

Engineering

Civil Engineering

6 k E 2 in.? D 2 in.? 2 in.? 3 in.? 3 in.2 4 ft B A l00 3 in.? 3 in.? 4 ft 4 ft 6 k Probs. 9–7/8 S po

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

Bars

In civil engineering, bars refer to steel reinforcement bars or rebars. These are structural members primarily used for reinforcement purposes in masonry works. A bar is characterized by its cross-sectional area, which is negligible compared to its length. Bars are usually manufactured by steel which is uniform throughout the length, or by meshing multiple steel wires. Other materials of the bar include carbon steel, glass fiber, carbon fiber, and basalt fiber. The reinforcing bars are coated with epoxy resins and other materials to enhance some of their properties including corrosion resistance.

Question

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. Solve Prob. 9–7 using Castigliano’s theorem.

6 k
E
2 in.?
D
2 in.?
2 in.?
3 in.?
3 in.2 4 ft
B
A
l00
3 in.?
3 in.?
4 ft
4 ft
6 k
Probs. 9–7/8
S po

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Step 1:The support reactions will be:

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Step 2:Calculating the forces:

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Step 3:The moment at Joint B,C and E:

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Step 4 :calculating k forces:

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Step 5:Calculating vertical displacement at Joint A:

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