8 ft 8 ft 8 ft N A 1+1+1 900 lb L M B 1000 lb 1500 lb C K 1000 lb DE F I ЭН G 8 ft 8 ft 8 ft 8 ft 8 ft 8 ft Determine the force in members EF of the truss, and state if the members are in tension (T) or compression (C).

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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### Analysis of Truss Forces

**Objective:**
Determine the force in members \( EF \) of the truss and state if the members are in tension (T) or compression (C).

**Truss Diagram Details:**

- The truss is a symmetrical structure with two supports labeled \( A \) and \( G \).
- It features multiple members connected at joints labeled \( A, B, C, D, E, F, G, H, I, J, K, L, M, \) and \( N \).
- The truss height, measured vertically, is \( 8 \, \text{ft} \).
- The base of the truss is \( 48 \, \text{ft} \) long, with each segment between joints being \( 8 \, \text{ft} \).

**Forces:**

- A downward force of \( 900 \, \text{lb} \) is applied at joint \( L \).
- A downward force of \( 1500 \, \text{lb} \) is applied at joint \( K \).
- Two downward forces of \( 1000 \, \text{lb} \) each are applied at joints \( J \) and \( M \).

The truss is supported at:
- \( A \) with a pin support (capable of horizontal and vertical reactions).
- \( G \) with a roller support (capable only of vertical reaction).

**Approach:**
To determine whether member \( EF \) is in tension or compression, apply methods of static equilibrium, considering sum of forces and moments around appropriate points. Use techniques like the method of joints or method of sections to solve for forces in a truss capable of handling these calculations.
Transcribed Image Text:### Analysis of Truss Forces **Objective:** Determine the force in members \( EF \) of the truss and state if the members are in tension (T) or compression (C). **Truss Diagram Details:** - The truss is a symmetrical structure with two supports labeled \( A \) and \( G \). - It features multiple members connected at joints labeled \( A, B, C, D, E, F, G, H, I, J, K, L, M, \) and \( N \). - The truss height, measured vertically, is \( 8 \, \text{ft} \). - The base of the truss is \( 48 \, \text{ft} \) long, with each segment between joints being \( 8 \, \text{ft} \). **Forces:** - A downward force of \( 900 \, \text{lb} \) is applied at joint \( L \). - A downward force of \( 1500 \, \text{lb} \) is applied at joint \( K \). - Two downward forces of \( 1000 \, \text{lb} \) each are applied at joints \( J \) and \( M \). The truss is supported at: - \( A \) with a pin support (capable of horizontal and vertical reactions). - \( G \) with a roller support (capable only of vertical reaction). **Approach:** To determine whether member \( EF \) is in tension or compression, apply methods of static equilibrium, considering sum of forces and moments around appropriate points. Use techniques like the method of joints or method of sections to solve for forces in a truss capable of handling these calculations.
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