Treat point A as a roller support instead. ### Problem 6-2: Analyze Truss Forces**Objective:**Determine the force in each member of the truss and state if the members are in tension or compression. Given values are \( P_1 = 45 \, \text{kN} \) and \( P_2 = 30 \, \text{kN} \).**Diagram Explanation:**The given diagram is a truss structure consisting of a rectangular frame with a horizontal top member and an angled support member.- **Points and Forces:** - \( P_1 \): A vertical force of 45 kN downward at point \( C \). - \( P_2 \): A horizontal force of 30 kN directed to the left at point \( D \).- **Structure Layout:** - The truss has dimensions of 2 meters along the bottom horizontal segment from point \( A \) to point \( D \). - The vertical height from the bottom horizontal segment to the top horizontal segment is 1.5 meters at point \( B \).- **Connections:** - Pins are located at points \( A \), \( B \), \( C \), and \( D \). - The top horizontal member connects points \( C \) to \( B \). - The diagonal member connects points \( D \) to \( B \).**Analysis Method:**To determine the forces, apply static equilibrium equations for the truss:1. Sum of Forces in the X-direction (\( \Sigma F_x = 0 \))2. Sum of Forces in the Y-direction (\( \Sigma F_y = 0 \))3. Sum of Moments about a point (\( \Sigma M = 0 \))These equations will help compute the magnitude of forces in the truss members and determine whether they are in tension or compression.For a detailed solution, each member’s force balance should be calculated using methods such as the method of joints or sections.

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Answered: 6-2. Determine the force in each member…

6-2. Determine the force in each member of the truss and state if the members are in tension or compression. Set P=45 kN, P2 = 30 kN. P1 C 1.5 m P2 D 2 m - Probs. 6-1/2

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

Treat point A as a roller support instead.

### Problem 6-2: Analyze Truss Forces

**Objective:**
Determine the force in each member of the truss and state if the members are in tension or compression. Given values are \( P_1 = 45 \, \text{kN} \) and \( P_2 = 30 \, \text{kN} \).

**Diagram Explanation:**
The given diagram is a truss structure consisting of a rectangular frame with a horizontal top member and an angled support member.

- **Points and Forces:**
- \( P_1 \): A vertical force of 45 kN downward at point \( C \).
- \( P_2 \): A horizontal force of 30 kN directed to the left at point \( D \).

- **Structure Layout:**
- The truss has dimensions of 2 meters along the bottom horizontal segment from point \( A \) to point \( D \).
- The vertical height from the bottom horizontal segment to the top horizontal segment is 1.5 meters at point \( B \).

- **Connections:**
- Pins are located at points \( A \), \( B \), \( C \), and \( D \).
- The top horizontal member connects points \( C \) to \( B \).
- The diagonal member connects points \( D \) to \( B \).

**Analysis Method:**
To determine the forces, apply static equilibrium equations for the truss:
1. Sum of Forces in the X-direction (\( \Sigma F_x = 0 \))
2. Sum of Forces in the Y-direction (\( \Sigma F_y = 0 \))
3. Sum of Moments about a point (\( \Sigma M = 0 \))

These equations will help compute the magnitude of forces in the truss members and determine whether they are in tension or compression.

For a detailed solution, each member’s force balance should be calculated using methods such as the method of joints or sections.

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