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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

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
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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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.
Transcribed Image Text:### 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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