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
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:### 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.
VIEWStep 2: Determine the force in member AB and AD.
VIEWStep 3: Determine the force in member BD and BC.
VIEWStep 4: Determine the force in members using virtual load.
VIEWStep 5: Determine the force in member BD and BC using virtual load.
VIEWStep 6: Determine the dispalcement.
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