1. In Figure 1, using the method of joints, determine the force in each member of the truss, and state if the members are in tension or compression. Use \(\theta = 30^\circ\).**Figure Description: Forces on Truss**The diagram illustrates a truss with a triangular structure:- **Triangle ABCD**: - **Joint A** is at the left bottom corner. - **Joint B** is at the bottom center. - **Joint C** is at the right bottom corner. - **Joint D** is at the top center, forming the apex.- **Dimensions**: - The horizontal length between A and B is 2 meters. - The horizontal length between B and C is also 2 meters. - The vertical height from A to D is 1.5 meters.- **Forces**: - There is a downward force of 4 kN at Joint B. - A horizontal force of 3 kN is applied to the right at Joint D.- **Inclination**: - The angle \(\theta\) at Joint C is \(30^\circ\).- **Supports**: - There is a support at Joint A and a roller support at Joint C.- The task is to analyze the truss and determine the forces in each member, specifying whether they are in tension or compression.

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Answered: In Figure 1, using method of joints,…

In Figure 1, using method of joints, determine the force in each member of the truss, and state if the members are in tension or compression. Use 0 = 30°. 1.5 m A 2 m B 4 kN 3 kN 2 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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Concept explainers

Beams and Frames

A beam is a horizontal structure or a member which is always subjected to transverse shear loads.

Question

1. In Figure 1, using the method of joints, determine the force in each member of the truss, and state if the members are in tension or compression. Use \(\theta = 30^\circ\).

**Figure Description: Forces on Truss**

The diagram illustrates a truss with a triangular structure:

- **Triangle ABCD**:
- **Joint A** is at the left bottom corner.
- **Joint B** is at the bottom center.
- **Joint C** is at the right bottom corner.
- **Joint D** is at the top center, forming the apex.

- **Dimensions**:
- The horizontal length between A and B is 2 meters.
- The horizontal length between B and C is also 2 meters.
- The vertical height from A to D is 1.5 meters.

- **Forces**:
- There is a downward force of 4 kN at Joint B.
- A horizontal force of 3 kN is applied to the right at Joint D.

- **Inclination**:
- The angle \(\theta\) at Joint C is \(30^\circ\).

- **Supports**:
- There is a support at Joint A and a roller support at Joint C.

- The task is to analyze the truss and determine the forces in each member, specifying whether they are in tension or compression.

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Step 1: Components of inclined reaction

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Step 2: vertical and horizontal reaction

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Step 3: method of joints and nature of forces

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Step 4: Joints B and C

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