Determine the force in member AD for the truss shown using the method of joints. **Determine the Force in Member AD for the Truss Using the Method of Joints**In this problem, we are required to determine the force in member AD of the truss shown using the method of joints.#### Illustration of the Truss:- The truss is a simple triangular configuration supported at points A and C.- The span between points A and B is 4 meters, and the span between points B and C is also 4 meters, making the total length 8 meters.- Point D is located vertically below point B.- The truss is subjected to two external loads at joint D: a vertical load of 60 kN acting upwards and a vertical load of 120 kN acting downwards.#### Forces to be Determined:The forces in the members of the truss, specifically in member AD, need to be found out.### Multiple Choice Answers:a. 168.75 kN tension b. 93.75 kN compression c. 77.31 kN tension d. 77.31 kN compression ### Method of Joints Explanation:The method of joints involves looking at each joint of the truss separately to ensure that the sum of forces in both the x and y directions is zero. 1. **Identify the external reactions at points A and C.**2. **Use equilibrium equations to solve for unknown forces.**3. **Use trigonometric relationships if necessary to resolve forces in triangular configurations.**#### Step-by-Step Calculation (Outline):1. **Analyzing Joint A:** - Considering summation of moments around point C to find reaction at A. - Sum of vertical forces to find reaction at C.2. **Analyzing Joint D:** - Using vertical and horizontal equilibrium (

A truss is given with hinged support at A and roller support at C.At point D, 60kN and 120kN loads…

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Civil Engineering

Determine the force in member AD for the truss shown using the method of joints. D B 120 kN -4 m 60 kN 2m

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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Determine the force in member AD for the truss shown using the method of joints.

**Determine the Force in Member AD for the Truss Using the Method of Joints**

In this problem, we are required to determine the force in member AD of the truss shown using the method of joints.

#### Illustration of the Truss:

- The truss is a simple triangular configuration supported at points A and C.
- The span between points A and B is 4 meters, and the span between points B and C is also 4 meters, making the total length 8 meters.
- Point D is located vertically below point B.
- The truss is subjected to two external loads at joint D: a vertical load of 60 kN acting upwards and a vertical load of 120 kN acting downwards.

#### Forces to be Determined:

The forces in the members of the truss, specifically in member AD, need to be found out.

### Multiple Choice Answers:

a. 168.75 kN tension
b. 93.75 kN compression
c. 77.31 kN tension
d. 77.31 kN compression

### Method of Joints Explanation:

The method of joints involves looking at each joint of the truss separately to ensure that the sum of forces in both the x and y directions is zero.

1. **Identify the external reactions at points A and C.**
2. **Use equilibrium equations to solve for unknown forces.**
3. **Use trigonometric relationships if necessary to resolve forces in triangular configurations.**

#### Step-by-Step Calculation (Outline):

1. **Analyzing Joint A:**
- Considering summation of moments around point C to find reaction at A.
- Sum of vertical forces to find reaction at C.

2. **Analyzing Joint D:**
- Using vertical and horizontal equilibrium (

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