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2. Determine the force in each member of the truss. State whether the members are in tension or compression. Set P = 8 kN. 60° 4 m 4 m- 4 m 60⁰ D

2. Determine the force in each member of the truss. State whether the members are in tension or compression. Set P = 8 kN. 60° 4 m 4 m- 4 m 60⁰ D

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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2.) Please help with problem and provide FBDs (free body diagrams)
**Problem Statement:** Determine the force in each member of the truss. State whether the members are in tension or compression. Set \( P = 8 \, \text{kN} \). **Diagram Description:** The truss is composed of five members arranged in two equilateral triangles sharing a base member. Here's a detailed explanation of the geometry and loading: - The truss is supported on the left end at point \( A \) and on a roller at point \( E \). - The right end has a vertical downward load \( P = 8 \, \text{kN} \) applied at point \( D \). - The horizontal distance between points \( A \) and \( E \) is \( 4 \, \text{m} \), as is the distance between points \( E \) and \( D \). - Point \( E \) is at the midpoint of the truss. - Members \( AB \) and \( CD \) are inclined at \( 60^\circ \) to the horizontal. - Points \( A, B, C, D, \) and \( E \) form two equilateral triangles (\( \triangle ABE \) and \( \triangle CED \)) with base member \( BE \) and \( EC \) being common. This truss design requires analysis to determine the forces in each member and understand whether these forces result in tension or compression.
Transcribed Image Text:**Problem Statement:** Determine the force in each member of the truss. State whether the members are in tension or compression. Set \( P = 8 \, \text{kN} \). **Diagram Description:** The truss is composed of five members arranged in two equilateral triangles sharing a base member. Here's a detailed explanation of the geometry and loading: - The truss is supported on the left end at point \( A \) and on a roller at point \( E \). - The right end has a vertical downward load \( P = 8 \, \text{kN} \) applied at point \( D \). - The horizontal distance between points \( A \) and \( E \) is \( 4 \, \text{m} \), as is the distance between points \( E \) and \( D \). - Point \( E \) is at the midpoint of the truss. - Members \( AB \) and \( CD \) are inclined at \( 60^\circ \) to the horizontal. - Points \( A, B, C, D, \) and \( E \) form two equilateral triangles (\( \triangle ABE \) and \( \triangle CED \)) with base member \( BE \) and \( EC \) being common. This truss design requires analysis to determine the forces in each member and understand whether these forces result in tension or compression.
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