Solution of this **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.

To determine - Load P and value of y1.

Answered: Problem-2 Determine the load P such…

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

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

Solution of this

**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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