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4.165 Calculate the forces in members AB and DE. E D 8 kN A C 12 kN 1.5 m 2.5 m 2.5 m 1.5 m Figure P4.165 3 m 1.25 m

4.165 Calculate the forces in members AB and DE. E D 8 kN A C 12 kN 1.5 m 2.5 m 2.5 m 1.5 m Figure P4.165 3 m 1.25 m

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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**Problem 4.165** Calculate the forces in members \( AB \) and \( DE \). **Diagram Explanation:** The diagram represents a structural truss supported at points \( A \) and \( C \). The structure consists of members \( AB \), \( BC \), \( BE \), \( DE \), \( EF \), and \( DF \). - **Supports:** - Point \( A \) is a pin support. - Point \( C \) is a roller support. - **Dimensions:** - Horizontal distances: - \(AB = 2.5 \, \text{m}\) - \(BC = 2.5 \, \text{m}\) - \(AC = 6 \, \text{m}\) (total base length) - Vertical distances: - Height from the base at \(A\) to \(D\) is \(3 \, \text{m}\). - Height from the base at \(D\) to \(E\) is \(1.25 \, \text{m}\). - **Loads:** - A concentrated load of \(12 \, \text{kN}\) acts downward at point \(B\). - A concentrated load of \(8 \, \text{kN}\) acts downward at point \(F\). - **Members:** - Angled members \(AD\), \(BD\), \(BE\), \(DF\), and \(EF\) form the truss structure. This problem requires calculating the internal forces in specific members (\( AB \) and \( DE \)) using static equilibrium principles.
Transcribed Image Text:**Problem 4.165** Calculate the forces in members \( AB \) and \( DE \). **Diagram Explanation:** The diagram represents a structural truss supported at points \( A \) and \( C \). The structure consists of members \( AB \), \( BC \), \( BE \), \( DE \), \( EF \), and \( DF \). - **Supports:** - Point \( A \) is a pin support. - Point \( C \) is a roller support. - **Dimensions:** - Horizontal distances: - \(AB = 2.5 \, \text{m}\) - \(BC = 2.5 \, \text{m}\) - \(AC = 6 \, \text{m}\) (total base length) - Vertical distances: - Height from the base at \(A\) to \(D\) is \(3 \, \text{m}\). - Height from the base at \(D\) to \(E\) is \(1.25 \, \text{m}\). - **Loads:** - A concentrated load of \(12 \, \text{kN}\) acts downward at point \(B\). - A concentrated load of \(8 \, \text{kN}\) acts downward at point \(F\). - **Members:** - Angled members \(AD\), \(BD\), \(BE\), \(DF\), and \(EF\) form the truss structure. This problem requires calculating the internal forces in specific members (\( AB \) and \( DE \)) using static equilibrium principles.
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