Title: Analysis of a Tied Three-Hinged Truss Arch**Problem 5-34:**The tied three-hinged truss arch is subjected to the loading as shown. The objective is to determine the components of reaction at points A and C, as well as the tension in the tie rod.**Diagram Explanation:**- The diagram displays a tied three-hinged truss arch featuring two vertical loads: - A 60 kN load applied vertically downward at a point on the left side of the arch. - An 80 kN load applied vertically downward at a point on the right side of the arch.- The truss arch has a total span (horizontal distance) of 16 meters, broken down into segments: - 2 meters between support A and the left vertical load. - 6 meters between the left and right vertical loads. - 4 meters from the right vertical load to support C.- The vertical distance from the highest point of the arch, labeled B, to the base C is 8 meters.- A horizontal tie rod connects the bases of the supports A and C.**Support Reactions:**- Support A is located on the far left end.- Support C is located on the far right end.- Both A and C provide reaction forces necessary to maintain equilibrium under the given loads.**Objective:**- Determine the reaction forces at supports A and C.- Calculate the tension in the tie rod between supports A and C to ensure structural stability under the applied loads.This problem is intended for students learning structural analysis and provides insight into how arches distribute forces and how supports counteract these forces to maintain equilibrium.

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Answered: 5-34. The tied three-hinged truss arch…

5-34. The tied three-hinged truss arch is subjected to the loading shown. Determine the components of reaction at A and C, and the tension in the tie rod. Prob. 5-34 80 KN 60 kN 2 m 6 m 4 m 4 m 8 m C

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

Title: Analysis of a Tied Three-Hinged Truss Arch

**Problem 5-34:**

The tied three-hinged truss arch is subjected to the loading as shown. The objective is to determine the components of reaction at points A and C, as well as the tension in the tie rod.

**Diagram Explanation:**

- The diagram displays a tied three-hinged truss arch featuring two vertical loads:
- A 60 kN load applied vertically downward at a point on the left side of the arch.
- An 80 kN load applied vertically downward at a point on the right side of the arch.

- The truss arch has a total span (horizontal distance) of 16 meters, broken down into segments:
- 2 meters between support A and the left vertical load.
- 6 meters between the left and right vertical loads.
- 4 meters from the right vertical load to support C.

- The vertical distance from the highest point of the arch, labeled B, to the base C is 8 meters.

- A horizontal tie rod connects the bases of the supports A and C.

**Support Reactions:**

- Support A is located on the far left end.
- Support C is located on the far right end.
- Both A and C provide reaction forces necessary to maintain equilibrium under the given loads.

**Objective:**

- Determine the reaction forces at supports A and C.
- Calculate the tension in the tie rod between supports A and C to ensure structural stability under the applied loads.

This problem is intended for students learning structural analysis and provides insight into how arches distribute forces and how supports counteract these forces to maintain equilibrium.

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