### Problem 4/6: Truss Analysis**Objective:** Determine the forces in members \( BE \) and \( CE \) of the loaded truss.**Diagram Description:**- The truss structure is a triangle with additional supportive members. - The lengths and angles are provided: - \( AB = 3 \) meters - \( AC = 3 \) meters - \( CD = 3 \) meters - Angle \( \theta \) at point \( A \) is \( 45^\circ \).**Load Forces:**- A downward force of \( 5 \) kN is applied at point \( B \).- A downward force of \( 3 \) kN is applied at point \( C \).**Support Forces:**- There is a pin support at point \( A \) which can provide both vertical and horizontal reaction forces.- There is a roller support at point \( D \) which can only provide a vertical reaction force.**Members:**- The structure consists of members \( AB \), \( AC \), \( BC \), \( CD \), \( BE \), and \( CE \).- The lengths \( BC \) and \( CD \) are equal (\( BC = CD \)).### Analysis Steps:1. **Identify the Unknowns:** - Forces in member \( BE \) (\( F_{BE} \)) - Forces in member \( CE \) (\( F_{CE} \))2. **Equilibrium Equations:** - Sum of forces in the vertical direction (\( \sum F_y = 0 \)) - Sum of forces in the horizontal direction (\( \sum F_x = 0 \)) - Sum of moments about any point (generally \( \sum M_A = 0 \))3. **Method of Joints:** - Isolate joints \( B \) and \( C \) to solve for internal forces in the members. - Use trigonometric relationships and equilibrium principles at each joint.4. **Calculations (Symbolic placeholder for educational purposes):** - Determine reaction forces at supports \( A \) and \( D \) using equilibrium equations. - Using joint analysis, calculate internal forces in members \( BE \) and \( CE \).---**Note for Students:**- Ensure you have a good understanding of static equilibrium

⇒Consider figure for solution - cosine rule cos 45 °=32+62-BD22×3×6 BD= 4.4208 m so ,…

Answered: Loaded truss. A the 3m 45° 5 kN B…

Engineering

Civil Engineering

Loaded truss. A the 3m 45° 5 kN B nembers BE 3 kN D of the

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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