### Problem 8-1/2#### 8-1Determine the vertical displacement of joint \( A \). Assume the members are pin-connected at their end points. Take \( A = 3 \, \text{in}^2 \) and \( E = 29(10^3) \, \text{ksi} \) for each member. Use the method of virtual work.#### 8-2Solve Problem 8-1 using Castigliano’s theorem.### Diagram ExplanationThe diagram depicts a pin-jointed truss structure with the following features:- It is composed of several linear members connected by pins at points \( A \), \( B \), \( C \), and \( D \).- Joint \( A \) is subjected to a downward force of \( 3 \, \text{k} \) and is located 8 feet above the base.- Joint \( D \) is subjected to a downward force of \( 6 \, \text{k} \).- The horizontal distance between joints \( A \) and \( B \) is 6 feet.- The horizontal member \( CD \) is parallel to the base and supported by a fixed support at point \( C \).

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8-1. Determine the vertical displacement of joint A. Assume the members are pin connected at their end points. Take A = 3 in² and E = 29(10³) ksi for each member. Use the method of virtual work. 8-2. Solve Prob. 8-1 using Castigliano's theorem. Problems 8-1/2 8 ft A 3 k -6 ft 6 k + 6 ft (o B

8-1. Determine the vertical displacement of joint A. Assume the members are pin connected at their end points. Take A = 3 in² and E = 29(10³) ksi for each member. Use the method of virtual work. 8-2. Solve Prob. 8-1 using Castigliano's theorem. Problems 8-1/2 8 ft A 3 k -6 ft 6 k + 6 ft (o B

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 8-1/2

#### 8-1
Determine the vertical displacement of joint \( A \). Assume the members are pin-connected at their end points. Take \( A = 3 \, \text{in}^2 \) and \( E = 29(10^3) \, \text{ksi} \) for each member. Use the method of virtual work.

#### 8-2
Solve Problem 8-1 using Castigliano’s theorem.

### Diagram Explanation
The diagram depicts a pin-jointed truss structure with the following features:

- It is composed of several linear members connected by pins at points \( A \), \( B \), \( C \), and \( D \).
- Joint \( A \) is subjected to a downward force of \( 3 \, \text{k} \) and is located 8 feet above the base.
- Joint \( D \) is subjected to a downward force of \( 6 \, \text{k} \).
- The horizontal distance between joints \( A \) and \( B \) is 6 feet.
- The horizontal member \( CD \) is parallel to the base and supported by a fixed support at point \( C \).

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Step 1: Mention the given data.

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Step 2: Determine the force in member AB and AD.

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Step 3: Determine the force in member BD and BC.

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Step 4: Determine the force in members using virtual load.

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Step 5: Determine the force in member BD and BC using virtual load.

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Step 6: Determine the dispalcement.

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