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The suspended object has weight W. Both W and the dimension d are given. Member BG is a cable. What is the force in member CF?

The suspended object has weight W. Both W and the dimension d are given. Member BG is a cable. What is the force in member CF?

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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**Assignment Overview:** **Instructions:** You must use the Homework Procedure for this assignment. Solutions must be based solely on the method of joints. **Problem Statement:** 1. The suspended object has weight \( W \). Both \( W \) and the dimension \( d \) are given. Member \( BG \) is a cable. What is the force in member \( CF \)? **Diagram Explanation:** The diagram illustrates a structural framework consisting of several members connected at joints. - **Members and Joints:** - The framework is mounted on a wall at point \( G \). - Member \( AB \) is perpendicular to the ground and vertically fixed between \( A \) and \( B \). - Member \( BG \) is a cable connecting \( B \) and \( G \). - Members \( BC, CD, DE \), and \( EF \) form a truss, with \( CD \) being horizontal, and \( DE \) and \( EF \) being inclined. - Member \( CF \) is part of the truss, running diagonally between joint \( C \) and joint \( F \). - **Dimensions:** - The horizontal spacing between joints \( B \), \( C \), and \( D \) is \( d \). - The vertical spacing between joints is indicated as \( d \) or \( 2d \) where appropriate. - **Load:** - A weight \( W \) is suspended from joint \( D \), creating tension in the structure. **Objective:** Determine the force in member \( CF \) using the method of joints, considering the structural equilibrium under the given load \( W \).
Transcribed Image Text:**Assignment Overview:** **Instructions:** You must use the Homework Procedure for this assignment. Solutions must be based solely on the method of joints. **Problem Statement:** 1. The suspended object has weight \( W \). Both \( W \) and the dimension \( d \) are given. Member \( BG \) is a cable. What is the force in member \( CF \)? **Diagram Explanation:** The diagram illustrates a structural framework consisting of several members connected at joints. - **Members and Joints:** - The framework is mounted on a wall at point \( G \). - Member \( AB \) is perpendicular to the ground and vertically fixed between \( A \) and \( B \). - Member \( BG \) is a cable connecting \( B \) and \( G \). - Members \( BC, CD, DE \), and \( EF \) form a truss, with \( CD \) being horizontal, and \( DE \) and \( EF \) being inclined. - Member \( CF \) is part of the truss, running diagonally between joint \( C \) and joint \( F \). - **Dimensions:** - The horizontal spacing between joints \( B \), \( C \), and \( D \) is \( d \). - The vertical spacing between joints is indicated as \( d \) or \( 2d \) where appropriate. - **Load:** - A weight \( W \) is suspended from joint \( D \), creating tension in the structure. **Objective:** Determine the force in member \( CF \) using the method of joints, considering the structural equilibrium under the given load \( W \).
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