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Determine the force in member of the truss below and compression. state if the members are in tension or Use P₁ = 12 kN and P₂ = 16 kN. 3 m G A B 2m F P₁ 3 m C 2m D P₂

Determine the force in member of the truss below and compression. state if the members are in tension or Use P₁ = 12 kN and P₂ = 16 kN. 3 m G A B 2m F P₁ 3 m C 2m D P₂

Structural Analysis
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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3.) Please help with problem and provide FBDs (free body diagrams)
### Problem Statement Determine the force in each member of the truss below and state whether the members are in tension or compression. Use the following loads: - \( P_1 = 12 \, \text{kN} \) - \( P_2 = 16 \, \text{kN} \) ### Diagram Explanation The truss depicted is a planar structure composed of several members connected at joints. The specific diagram details are as follows: - **Structure Layout** - The truss is supported at point \( A \) with a hinge and at point \( D \) with a roller. - The truss has joints labeled \( A, B, C, D, E, F, \) and \( G \). - There is a horizontal beam \( GE \) that extends across the top of the truss. - Vertical and diagonal members connect these top points with the base, forming a series of triangles. - **Dimensions** - The vertical segment \( AG \) is \( 3 \, \text{m} \). - The horizontal distance between \( A \) and \( B \) is \( 2 \, \text{m} \). - The horizontal distance between \( B \) and \( C \) is \( 3 \, \text{m} \). - The horizontal distance between \( C \) and \( D \) is \( 2 \, \text{m} \). - **Loads and Forces** - The load \( P_1 = 12 \, \text{kN} \) is applied vertically downward at joint \( B \). - The load \( P_2 = 16 \, \text{kN} \) is applied vertically downward at joint \( D \). The task is to analyze the truss, compute the forces in each member, and determine whether these members are in tension or compression under the given load conditions.
Transcribed Image Text:### Problem Statement Determine the force in each member of the truss below and state whether the members are in tension or compression. Use the following loads: - \( P_1 = 12 \, \text{kN} \) - \( P_2 = 16 \, \text{kN} \) ### Diagram Explanation The truss depicted is a planar structure composed of several members connected at joints. The specific diagram details are as follows: - **Structure Layout** - The truss is supported at point \( A \) with a hinge and at point \( D \) with a roller. - The truss has joints labeled \( A, B, C, D, E, F, \) and \( G \). - There is a horizontal beam \( GE \) that extends across the top of the truss. - Vertical and diagonal members connect these top points with the base, forming a series of triangles. - **Dimensions** - The vertical segment \( AG \) is \( 3 \, \text{m} \). - The horizontal distance between \( A \) and \( B \) is \( 2 \, \text{m} \). - The horizontal distance between \( B \) and \( C \) is \( 3 \, \text{m} \). - The horizontal distance between \( C \) and \( D \) is \( 2 \, \text{m} \). - **Loads and Forces** - The load \( P_1 = 12 \, \text{kN} \) is applied vertically downward at joint \( B \). - The load \( P_2 = 16 \, \text{kN} \) is applied vertically downward at joint \( D \). The task is to analyze the truss, compute the forces in each member, and determine whether these members are in tension or compression under the given load conditions.
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