### 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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Answered: Determine the force in members ED, EB,…

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

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

### 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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