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Determine the force in members ED, EB, and AB and specify whether they are in tension or compression. Use Method of Sections. 8 kN -2 m- E D 1.5 m

Determine the force in members ED, EB, and AB and specify whether they are in tension or compression. Use Method of Sections. 8 kN -2 m- E D 1.5 m

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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### Truss Analysis Problem **Objective:** Determine the force in members ED, EB, and AB and specify whether they are in tension or compression. **Method:** Use Method of Sections. **Description of Diagram:** The diagram represents a truss structure supported at two points, A and E. It consists of several members forming a triangle and a rectangle-like shape. The dimensions and loads are as follows: - Points A, B, C, D, and E form the vertices of the truss. - Member AC is horizontal with its right end (point C) under an external downward load of 8 kN. - Each horizontal segment (AC and CD) is 2 meters long. - Vertical and diagonal members connect the points: - AE is vertical (1.5 meters high). - EC, ED, DB, and EB are connecting members. - BD is a vertical member 1.5 meters high. - The supports at A and E suggest that they bear the structure's weight and load, creating reactions at these points. **Analysis Approach:** 1. **Free-Body Diagram:** Draw and analyze sections of the truss to identify forces in the specified members. 2. **Cutting the Truss:** Use the Method of Sections to cut through members ED, EB, and AB, isolating one of the sections to determine the forces. 3. **Equilibrium Equations:** Apply the sum of forces and moments (ΣF = 0 and ΣM = 0) to solve for unknown forces in the truss members. Determine whether these forces indicate tension (pulling apart) or compression (pushing together). This analysis requires a fundamental understanding of statics and structural mechanics, typically explored in courses related to civil or mechanical engineering.
Transcribed Image Text:### Truss Analysis Problem **Objective:** Determine the force in members ED, EB, and AB and specify whether they are in tension or compression. **Method:** Use Method of Sections. **Description of Diagram:** The diagram represents a truss structure supported at two points, A and E. It consists of several members forming a triangle and a rectangle-like shape. The dimensions and loads are as follows: - Points A, B, C, D, and E form the vertices of the truss. - Member AC is horizontal with its right end (point C) under an external downward load of 8 kN. - Each horizontal segment (AC and CD) is 2 meters long. - Vertical and diagonal members connect the points: - AE is vertical (1.5 meters high). - EC, ED, DB, and EB are connecting members. - BD is a vertical member 1.5 meters high. - The supports at A and E suggest that they bear the structure's weight and load, creating reactions at these points. **Analysis Approach:** 1. **Free-Body Diagram:** Draw and analyze sections of the truss to identify forces in the specified members. 2. **Cutting the Truss:** Use the Method of Sections to cut through members ED, EB, and AB, isolating one of the sections to determine the forces. 3. **Equilibrium Equations:** Apply the sum of forces and moments (ΣF = 0 and ΣM = 0) to solve for unknown forces in the truss members. Determine whether these forces indicate tension (pulling apart) or compression (pushing together). This analysis requires a fundamental understanding of statics and structural mechanics, typically explored in courses related to civil or mechanical engineering.
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