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Given the truss below, take P= 130lb, a=3ft, h=4ft. Determine the reactions at the supports. Using the method of joints determine the forces in members BD, CD, and CE. Remember to specify whether they are in Tension or Compression. a B с a h

Given the truss below, take P= 130lb, a=3ft, h=4ft. Determine the reactions at the supports. Using the method of joints determine the forces in members BD, CD, and CE. Remember to specify whether they are in Tension or Compression. a B с a h

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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how do i solve the attached civil engineering problem

# Problem IV - **Task**: Given the truss below, take \( P = 130 \text{ lb} \), \( a = 3 \text{ ft} \), \( h = 4 \text{ ft} \). Determine the reactions at the supports. Using the method of joints, determine the forces in members BD, CD, and CE. Remember to specify whether they are in tension or compression. ## Diagram Explanation The diagram illustrates a truss with the following configuration: - **Points**: The truss consists of joints at points A, B, C, D, E, and F. - **Supports**: The truss is supported at A (noted with a pin support) and E (noted with a roller support). - **Loads**: - There is a vertical load of 120 lb acting downwards at joint B. - The load \( P \) acts vertically downwards at point F. - **Members**: The truss comprises the following members: - Horizontal members: AB, CD, and EF, each spanning a length of \( a = 3 \text{ ft} \). - Vertical members: BD and CE. - Diagonal members: AC and DE, arranged in a triangular formation. The geometry indicates a series of triangular shapes, with members AC, BD, and CE forming the triangle at the left side, and members DE and EF forming a triangle on the right side. The diagram also suggests symmetry, which is typical for such truss structures to ensure even distribution of forces. ## Objective - Determine the reactions at the support points A and E. - Using the method of joints, calculate the force in each member: - **BD**: Label if in tension or compression. - **CD**: Label if in tension or compression. - **CE**: Label if in tension or compression. This is a common problem type in engineering mechanics, specifically focusing on statics and structural analysis, where one must solve for unknown forces using equilibrium equations.
Transcribed Image Text:# Problem IV - **Task**: Given the truss below, take \( P = 130 \text{ lb} \), \( a = 3 \text{ ft} \), \( h = 4 \text{ ft} \). Determine the reactions at the supports. Using the method of joints, determine the forces in members BD, CD, and CE. Remember to specify whether they are in tension or compression. ## Diagram Explanation The diagram illustrates a truss with the following configuration: - **Points**: The truss consists of joints at points A, B, C, D, E, and F. - **Supports**: The truss is supported at A (noted with a pin support) and E (noted with a roller support). - **Loads**: - There is a vertical load of 120 lb acting downwards at joint B. - The load \( P \) acts vertically downwards at point F. - **Members**: The truss comprises the following members: - Horizontal members: AB, CD, and EF, each spanning a length of \( a = 3 \text{ ft} \). - Vertical members: BD and CE. - Diagonal members: AC and DE, arranged in a triangular formation. The geometry indicates a series of triangular shapes, with members AC, BD, and CE forming the triangle at the left side, and members DE and EF forming a triangle on the right side. The diagram also suggests symmetry, which is typical for such truss structures to ensure even distribution of forces. ## Objective - Determine the reactions at the support points A and E. - Using the method of joints, calculate the force in each member: - **BD**: Label if in tension or compression. - **CD**: Label if in tension or compression. - **CE**: Label if in tension or compression. This is a common problem type in engineering mechanics, specifically focusing on statics and structural analysis, where one must solve for unknown forces using equilibrium equations.
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