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5. Determine the force in members BC, EC and ED of the truss and state if the members are in tension or compression. Use the values P₁ = 8 kN, P₂ = 10 kN, and P3 = 14 kN.

5. Determine the force in members BC, EC and ED of the truss and state if the members are in tension or compression. Use the values P₁ = 8 kN, P₂ = 10 kN, and P3 = 14 kN.

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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**Problem Statement:** 5. Determine the force in members BC, EC, and ED of the truss and state if the members are in tension or compression. Use the values \( P_1 = 8 \, \text{kN}, \, P_2 = 10 \, \text{kN}, \, \text{and} \, P_3 = 14 \, \text{kN} \). **Diagram Description:** The diagram shows a truss structure with six members labeled AB, BF, FC, CE, DE, and DC. The structure is supported at points A and D. - Member AB is horizontal and is 4 meters long from point A to point B. - A vertical downward force \( P_1 = 8 \, \text{kN} \) is applied at point B. - Member BC is horizontal and 3 meters long, with a vertical downward force \( P_2 = 10 \, \text{kN} \) applied at point C. - Member CD is horizontal and 4 meters long, connecting points C and D. - There is a vertical upward force \( P_3 = 14 \, \text{kN} \) applied at point F. - Triangle AFC is formed with AF and FC as inclined members. AF is 3 meters high from point A vertically, which aligns with the 3 meters section of AC. - There is another triangle, EDC, with DE and EC as inclined, where the height of triangle EDC is vertically aligned with 3 meters from point E. **Truss Members and Loads:** - Members to be analyzed: BC, EC, ED. - Forces applied: \( P_1, P_2, \text{and} \, P_3 \). **Objective:** - To find out the nature (tension or compression) and magnitude of forces in the specified truss members BC, EC, and ED using the given force values.
Transcribed Image Text:**Problem Statement:** 5. Determine the force in members BC, EC, and ED of the truss and state if the members are in tension or compression. Use the values \( P_1 = 8 \, \text{kN}, \, P_2 = 10 \, \text{kN}, \, \text{and} \, P_3 = 14 \, \text{kN} \). **Diagram Description:** The diagram shows a truss structure with six members labeled AB, BF, FC, CE, DE, and DC. The structure is supported at points A and D. - Member AB is horizontal and is 4 meters long from point A to point B. - A vertical downward force \( P_1 = 8 \, \text{kN} \) is applied at point B. - Member BC is horizontal and 3 meters long, with a vertical downward force \( P_2 = 10 \, \text{kN} \) applied at point C. - Member CD is horizontal and 4 meters long, connecting points C and D. - There is a vertical upward force \( P_3 = 14 \, \text{kN} \) applied at point F. - Triangle AFC is formed with AF and FC as inclined members. AF is 3 meters high from point A vertically, which aligns with the 3 meters section of AC. - There is another triangle, EDC, with DE and EC as inclined, where the height of triangle EDC is vertically aligned with 3 meters from point E. **Truss Members and Loads:** - Members to be analyzed: BC, EC, ED. - Forces applied: \( P_1, P_2, \text{and} \, P_3 \). **Objective:** - To find out the nature (tension or compression) and magnitude of forces in the specified truss members BC, EC, and ED using the given force values.
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