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

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

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter4: Plane And Space Trusses
Section: Chapter Questions
Problem 52P
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3.) please help with problem and provide free body diagrams when needed
**Problem Statement:** 3. Determine the force in each member of the truss below and state if the members are in tension or compression. Use \( P_1 = 12 \, \text{kN} \) and \( P_2 = 16 \, \text{kN} \). **Diagram Explanation:** The image depicts a truss structure composed of several members connected at joints, forming a mechanism commonly analyzed in structural engineering. The truss is supported at two points: joint \( A \) has a pin support, and joint \( G \) has a roller support. External forces \( P_1 \) and \( P_2 \) are acting downward at joints \( B \) and \( D \) respectively. - The truss has the following notable dimensions: - The vertical height from point \( A \) to \( G \) is \( 3 \, \text{m} \). - The horizontal distances between joints are: - \( A \) to \( B \): \( 2 \, \text{m} \) - \( B \) to \( C \): \( 3 \, \text{m} \) - \( C \) to \( D \): \( 2 \, \text{m} \) The structure involves several triangular components and beams, with critical members being identified as \( AB \), \( BC \), \( CD \), \( BE \), \( CE \), \( EF \), and \( FG \). **Objectives:** - To calculate the force in each individual member of the truss. - To determine whether each member is in a state of tension (pulling apart) or compression (pushing together). **Important Considerations:** - Use methods such as the joint method or the section method for detailed analysis. - Recognize that forces in truss members are axial; they only either pull or push along the length of the member. This problem is a fundamental exercise in statics, particularly within the analysis of structures, providing hands-on experiences in solving equilibrium and force-determination problems.
Transcribed Image Text:**Problem Statement:** 3. Determine the force in each member of the truss below and state if the members are in tension or compression. Use \( P_1 = 12 \, \text{kN} \) and \( P_2 = 16 \, \text{kN} \). **Diagram Explanation:** The image depicts a truss structure composed of several members connected at joints, forming a mechanism commonly analyzed in structural engineering. The truss is supported at two points: joint \( A \) has a pin support, and joint \( G \) has a roller support. External forces \( P_1 \) and \( P_2 \) are acting downward at joints \( B \) and \( D \) respectively. - The truss has the following notable dimensions: - The vertical height from point \( A \) to \( G \) is \( 3 \, \text{m} \). - The horizontal distances between joints are: - \( A \) to \( B \): \( 2 \, \text{m} \) - \( B \) to \( C \): \( 3 \, \text{m} \) - \( C \) to \( D \): \( 2 \, \text{m} \) The structure involves several triangular components and beams, with critical members being identified as \( AB \), \( BC \), \( CD \), \( BE \), \( CE \), \( EF \), and \( FG \). **Objectives:** - To calculate the force in each individual member of the truss. - To determine whether each member is in a state of tension (pulling apart) or compression (pushing together). **Important Considerations:** - Use methods such as the joint method or the section method for detailed analysis. - Recognize that forces in truss members are axial; they only either pull or push along the length of the member. This problem is a fundamental exercise in statics, particularly within the analysis of structures, providing hands-on experiences in solving equilibrium and force-determination problems.
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