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Suppose that P= 1500 lb. Determine the force in each member of the cantilevered truss. Express your answer in kilopounds to three significant figures. Enter negative value in the case of compression and positive value in the case of tension.    a) FDE  b) FDF  c) FGF

Suppose that P= 1500 lb. Determine the force in each member of the cantilevered truss. Express your answer in kilopounds to three significant figures. Enter negative value in the case of compression and positive value in the case of tension.    a) FDE  b) FDF  c) FGF

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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Suppose that P= 1500 lb.

Determine the force in each member of the cantilevered truss.
Express your answer in kilopounds to three significant figures. Enter negative value in the case of compression and positive value in the case of tension. 
 
a) FDE 
b) FDF 
c) FGF
### Truss Diagram Explanation This diagram illustrates a structural truss, which is vital for understanding load distribution in engineering principles. Here's a detailed breakdown of the components and elements of the truss: #### Components: - **Points and Joints:** - The truss is composed of several joints labeled A, B, C, D, E, F, G, H, and I. - Each joint connects individual members of the truss framework, allowing it to distribute loads effectively. - **Truss Members:** - The members are the structural elements connecting the joints. - They form triangular units, which are fundamental for maintaining stability. - **Dimensions:** - The horizontal members between joints are each 4 feet in length, contributing to the uniform distribution of stress across the truss. - The vertical dimension labeled at joint E is 3 feet. #### Loading Details: - **Load Point (P):** - A force labeled as \( P \) is acting diagonally downward on joint A. - The direction of \( P \) forms a right triangle with the horizontal, with the vertical and horizontal components given in the ratio \( 4:3 \). #### Structural Supports: - **Support at E:** - The truss has a vertical support at joint E indicated by a perpendicular element, which provides stability and resists vertical loads. - **Support at F:** - Another support is indicated at joint F, which likely resists horizontal loads and provides equilibrium to the structure. This diagram is an essential visual for understanding how forces act on trusses, the geometry affecting load paths, and the importance of support locations for stability in structural engineering.
Transcribed Image Text:### Truss Diagram Explanation This diagram illustrates a structural truss, which is vital for understanding load distribution in engineering principles. Here's a detailed breakdown of the components and elements of the truss: #### Components: - **Points and Joints:** - The truss is composed of several joints labeled A, B, C, D, E, F, G, H, and I. - Each joint connects individual members of the truss framework, allowing it to distribute loads effectively. - **Truss Members:** - The members are the structural elements connecting the joints. - They form triangular units, which are fundamental for maintaining stability. - **Dimensions:** - The horizontal members between joints are each 4 feet in length, contributing to the uniform distribution of stress across the truss. - The vertical dimension labeled at joint E is 3 feet. #### Loading Details: - **Load Point (P):** - A force labeled as \( P \) is acting diagonally downward on joint A. - The direction of \( P \) forms a right triangle with the horizontal, with the vertical and horizontal components given in the ratio \( 4:3 \). #### Structural Supports: - **Support at E:** - The truss has a vertical support at joint E indicated by a perpendicular element, which provides stability and resists vertical loads. - **Support at F:** - Another support is indicated at joint F, which likely resists horizontal loads and provides equilibrium to the structure. This diagram is an essential visual for understanding how forces act on trusses, the geometry affecting load paths, and the importance of support locations for stability in structural engineering.
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