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?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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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