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Problem-2 Determine the load P such that the members in the three-hinged arch shown below are in pure compression. What is the value of y₁? P B yı 4m4m 20 kN C hinge 6 m 40 kN D E T 3 m 6 m

Problem-2 Determine the load P such that the members in the three-hinged arch shown below are in pure compression. What is the value of y₁? P B yı 4m4m 20 kN C hinge 6 m 40 kN D E T 3 m 6 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-2** Determine the load \( P \) such that the members in the three-hinged arch shown below are in pure compression. What is the value of \( y_1 \)? **Diagram Description:** The diagram illustrates a symmetrical three-hinged arch. The arch consists of three segments, each supported by hinges at points \( A \), \( C \), and \( E \). - **Details:** - The horizontal span of the arch is divided into segments measuring 4 m for \( AB \), 4 m for \( BC \), and 6 m for \( CD \), with an additional segment of 3 m for \( DE \). - Loads of 20 kN and 40 kN are applied vertically downward at points \( C \) and \( D \) respectively. - The vertical distance \( y_1 \) from point \( C \) to the line of action of load \( P \) is to be determined. - The entire arch structure rests on supports at \( A \) and \( E \). - The vertical height from point \( D \) to its base level is marked as 6 m, with an upper section of 3 m marked between point \( D \) and a lower level along the frame. This setup forms a geometry typically analyzed for determining compression forces and structural stability in arches.
Transcribed Image Text:**Problem-2** Determine the load \( P \) such that the members in the three-hinged arch shown below are in pure compression. What is the value of \( y_1 \)? **Diagram Description:** The diagram illustrates a symmetrical three-hinged arch. The arch consists of three segments, each supported by hinges at points \( A \), \( C \), and \( E \). - **Details:** - The horizontal span of the arch is divided into segments measuring 4 m for \( AB \), 4 m for \( BC \), and 6 m for \( CD \), with an additional segment of 3 m for \( DE \). - Loads of 20 kN and 40 kN are applied vertically downward at points \( C \) and \( D \) respectively. - The vertical distance \( y_1 \) from point \( C \) to the line of action of load \( P \) is to be determined. - The entire arch structure rests on supports at \( A \) and \( E \). - The vertical height from point \( D \) to its base level is marked as 6 m, with an upper section of 3 m marked between point \( D \) and a lower level along the frame. This setup forms a geometry typically analyzed for determining compression forces and structural stability in arches.
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