**Problem 1:****Objective:**Find the forces in members BC and EC.**Diagram Description:**The diagram displays a truss structure with members labeled A, B, C, D, E, and F. The truss is fixed at point A and has a roller support at point C. A force \( P \) is applied vertically downward at point C. The distance from A to B is 1 meter, and from B to C is also 1 meter. Point D is at a vertical height of 1.5 meters from point C. The angle \(\theta\) at member DE is given as 40°.**Given:**- \( P = 3 \, \text{kN} \)- \( Q = 5 \, \text{kN} \)- \(\theta = 40^\circ\)**Instructions:**Use principles of static equilibrium to solve for the forces in members BC and EC. Consider the equilibrium of the entire truss and apply the method of joints or sections to find the desired member forces.

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Answered: 1 Find the forces in members BC and EC.…

Engineering

Civil Engineering

1 Find the forces in members BC and EC. P = 3 KN -Im Q = 5 KN You do inay ↑ 1.5m 0 = 40°

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

**Problem 1:**

**Objective:**
Find the forces in members BC and EC.

**Diagram Description:**

The diagram displays a truss structure with members labeled A, B, C, D, E, and F. The truss is fixed at point A and has a roller support at point C. A force \( P \) is applied vertically downward at point C. The distance from A to B is 1 meter, and from B to C is also 1 meter. Point D is at a vertical height of 1.5 meters from point C. The angle \(\theta\) at member DE is given as 40°.

**Given:**
- \( P = 3 \, \text{kN} \)
- \( Q = 5 \, \text{kN} \)
- \(\theta = 40^\circ\)

**Instructions:**
Use principles of static equilibrium to solve for the forces in members BC and EC. Consider the equilibrium of the entire truss and apply the method of joints or sections to find the desired member forces.

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