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Determine the force in member CG of the truss if P₁ = 107 kN and P₂ = 187 kN. Input tension as positive and compression as negative and supply the answer in kilonewtons.

Determine the force in member CG of the truss if P₁ = 107 kN and P₂ = 187 kN. Input tension as positive and compression as negative and supply the answer in kilonewtons.

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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**Problem Statement:** Determine the force in member CG of the truss if \( P_1 = 107 \, \text{kN} \) and \( P_2 = 187 \, \text{kN} \). Input tension as positive and compression as negative and supply the answer in kilonewtons. **Diagram Description:** The diagram illustrates a truss structure with joints labeled A, B, C, D, E, F, and G. The truss is symmetrical and composed of triangular sections. - The horizontal members are AB, BC, CD, and DE. - The vertical members are BE, CF, and AG. - The diagonal members are AC, BD, and CG. - The truss has a total height of 2 meters from the base to the top at points B and D. - The length between each joint horizontally is 1.5 meters, with G centered as a vertical member between the two equal sections of 3 meters. Point loads \( P_1 \) and \( P_2 \) are applied downward at points G and F, respectively. The values of these loads are given as \( P_1 = 107 \, \text{kN} \) and \( P_2 = 187 \, \text{kN} \).
Transcribed Image Text:**Problem Statement:** Determine the force in member CG of the truss if \( P_1 = 107 \, \text{kN} \) and \( P_2 = 187 \, \text{kN} \). Input tension as positive and compression as negative and supply the answer in kilonewtons. **Diagram Description:** The diagram illustrates a truss structure with joints labeled A, B, C, D, E, F, and G. The truss is symmetrical and composed of triangular sections. - The horizontal members are AB, BC, CD, and DE. - The vertical members are BE, CF, and AG. - The diagonal members are AC, BD, and CG. - The truss has a total height of 2 meters from the base to the top at points B and D. - The length between each joint horizontally is 1.5 meters, with G centered as a vertical member between the two equal sections of 3 meters. Point loads \( P_1 \) and \( P_2 \) are applied downward at points G and F, respectively. The values of these loads are given as \( P_1 = 107 \, \text{kN} \) and \( P_2 = 187 \, \text{kN} \).
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