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By observation, are any of the members of the truss shown zero-force members?

By observation, are any of the members of the truss shown zero-force members?

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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**Title: Identifying Zero-Force Members in a Truss** **Introduction:** In the study of trusses, identifying zero-force members is essential for simplifying the analysis of the structure. Zero-force members do not carry any load and can be determined by inspection under certain conditions. **Question:** By observation, are any of the members of the truss shown zero-force members? **Diagram Description:** The diagram depicts a truss structure with several members connected at points A, B, C, D, E, F, and G. The truss is supported at points A and G and subjected to an external load of 14 kN acting downward at point D. **Dimensions:** - AB = 3 m - BC = 3 m - CD = 3 m - AG = 3 m - BF = 3 m - CE = 2 m **Discussion:** In the analysis of the truss, we use the following principles to identify zero-force members: 1. If two non-collinear members meet at a joint unstressed joint, those two members are zero-force members. 2. If three members form a truss joint and two of them are collinear, the third member is a zero-force member. **Options:** - BF - FG - AG - CE **Observation:** Upon analyzing the truss using the principles mentioned, the zero-force members in the truss can be identified. By inspection: - Member CE is a zero-force member because joint C forms with members BC and CD, and no external load or support is provided at C. Thus, the correct answer is: - CE **Conclusion:** By understanding the conditions for zero-force members and carefully inspecting the truss, the member CE has been identified as a zero-force member. This simplifies the analysis and helps in focusing on the load-bearing members in the truss structure.
Transcribed Image Text:**Title: Identifying Zero-Force Members in a Truss** **Introduction:** In the study of trusses, identifying zero-force members is essential for simplifying the analysis of the structure. Zero-force members do not carry any load and can be determined by inspection under certain conditions. **Question:** By observation, are any of the members of the truss shown zero-force members? **Diagram Description:** The diagram depicts a truss structure with several members connected at points A, B, C, D, E, F, and G. The truss is supported at points A and G and subjected to an external load of 14 kN acting downward at point D. **Dimensions:** - AB = 3 m - BC = 3 m - CD = 3 m - AG = 3 m - BF = 3 m - CE = 2 m **Discussion:** In the analysis of the truss, we use the following principles to identify zero-force members: 1. If two non-collinear members meet at a joint unstressed joint, those two members are zero-force members. 2. If three members form a truss joint and two of them are collinear, the third member is a zero-force member. **Options:** - BF - FG - AG - CE **Observation:** Upon analyzing the truss using the principles mentioned, the zero-force members in the truss can be identified. By inspection: - Member CE is a zero-force member because joint C forms with members BC and CD, and no external load or support is provided at C. Thus, the correct answer is: - CE **Conclusion:** By understanding the conditions for zero-force members and carefully inspecting the truss, the member CE has been identified as a zero-force member. This simplifies the analysis and helps in focusing on the load-bearing members in the truss structure.
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