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A stadium roof truss is loaded as shown, with P 3kN. Determine the force in members DF.

A stadium roof truss is loaded as shown, with P 3kN. Determine the force in members DF.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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**Problem Statement:** A stadium roof truss is loaded as shown, with \( P = 3 \, \text{kN} \). Determine the force in members \( DF \). **Diagram Explanation:** The diagram depicts a truss structure with multiple force loads applied vertically at different points. The truss spans horizontally with joints labeled from \( A \) to \( H \). The loads and distances between points are key to calculating the forces in the truss members. - **Loading Details:** - A vertical load of \( 1 \, \text{kN} \) is applied at point \( A \). - \( 2 \, \text{kN} \) loads are applied at points \( B \) and \( D \). - A vertical force \( P = 3 \, \text{kN} \) is applied at point \( F \). - A vertical load of \( 1.5 \, \text{kN} \) is applied at point \( G \). - A vertical load of \( 0.75 \, \text{kN} \) is applied at point \( H \). - **Geometric Configuration:** - The truss has a repetition of 6 m horizontal spans between the points \( A \), \( C \), and \( E \). - Between points \( E \) and \( H \), the span is also 6 m, and smaller spans are present between points \( F \), \( D \), and \( G \) which are indicated as 4 m, 3 m, and 3 m respectively. - The vertical height between the top and bottom chords of the truss at point \( G \) is marked as 6 m. This diagram will be used to apply truss analysis methods, such as the method of joints or the method of sections, to determine the individual member forces, specifically in member \( DF \).
Transcribed Image Text:**Problem Statement:** A stadium roof truss is loaded as shown, with \( P = 3 \, \text{kN} \). Determine the force in members \( DF \). **Diagram Explanation:** The diagram depicts a truss structure with multiple force loads applied vertically at different points. The truss spans horizontally with joints labeled from \( A \) to \( H \). The loads and distances between points are key to calculating the forces in the truss members. - **Loading Details:** - A vertical load of \( 1 \, \text{kN} \) is applied at point \( A \). - \( 2 \, \text{kN} \) loads are applied at points \( B \) and \( D \). - A vertical force \( P = 3 \, \text{kN} \) is applied at point \( F \). - A vertical load of \( 1.5 \, \text{kN} \) is applied at point \( G \). - A vertical load of \( 0.75 \, \text{kN} \) is applied at point \( H \). - **Geometric Configuration:** - The truss has a repetition of 6 m horizontal spans between the points \( A \), \( C \), and \( E \). - Between points \( E \) and \( H \), the span is also 6 m, and smaller spans are present between points \( F \), \( D \), and \( G \) which are indicated as 4 m, 3 m, and 3 m respectively. - The vertical height between the top and bottom chords of the truss at point \( G \) is marked as 6 m. This diagram will be used to apply truss analysis methods, such as the method of joints or the method of sections, to determine the individual member forces, specifically in member \( DF \).
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