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D -a C- B F a- K ·a G L

D -a C- B F a- K ·a G L

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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**Problem Statement:** 2. For the given loading, determine the zero-force members in the truss shown. **Diagram Explanation:** The image contains a truss structure composed of several members and joints arranged in a symmetrical pattern. The points are labeled alphabetically from A to L, and there is a vertical load P applied downward at joint A. - **Truss Configuration:** - **Members:** The truss consists of members connecting the points in a triangular and rectangular pattern. - **Joints:** The joints are labeled as A, B, C, D, E, F, G, H, I, J, K, and L. - **Dimensions:** The horizontal distance between joints I, J, and K is labeled as "a," and the vertical segments from C to L and B to G are labeled as "a/2." - **Supports:** There are two supports; one at joint H (a pin support) and another at joint L (a roller support). Zero-force members can typically be identified in a truss where: - Two non-collinear members meet at a joint unstressed by external load or support. - Three members form a truss joint and two are collinear; the non-collinear member may be a zero-force member if no external load or support reaction is occurring at that joint. **Purpose:** The task is to identify which members of the truss are not carrying load, thus becoming zero-force members. This knowledge helps in simplifying the analysis and design of the truss by focusing on essential members only.
Transcribed Image Text:**Problem Statement:** 2. For the given loading, determine the zero-force members in the truss shown. **Diagram Explanation:** The image contains a truss structure composed of several members and joints arranged in a symmetrical pattern. The points are labeled alphabetically from A to L, and there is a vertical load P applied downward at joint A. - **Truss Configuration:** - **Members:** The truss consists of members connecting the points in a triangular and rectangular pattern. - **Joints:** The joints are labeled as A, B, C, D, E, F, G, H, I, J, K, and L. - **Dimensions:** The horizontal distance between joints I, J, and K is labeled as "a," and the vertical segments from C to L and B to G are labeled as "a/2." - **Supports:** There are two supports; one at joint H (a pin support) and another at joint L (a roller support). Zero-force members can typically be identified in a truss where: - Two non-collinear members meet at a joint unstressed by external load or support. - Three members form a truss joint and two are collinear; the non-collinear member may be a zero-force member if no external load or support reaction is occurring at that joint. **Purpose:** The task is to identify which members of the truss are not carrying load, thus becoming zero-force members. This knowledge helps in simplifying the analysis and design of the truss by focusing on essential members only.
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