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Determine the force in member CD of the truss shown in the figure. Circled values are areas in square inches. E is constant. -10 ft 30k

Determine the force in member CD of the truss shown in the figure. Circled values are areas in square inches. E is constant. -10 ft 30k

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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Please help me solve the problem using Method of Consistent Deformation (MCD) Encircled numbers are 2 square inches, 2 square inches, 1 square inches, Repectively.
**Truss Analysis: Determining the Force in Member CD** **Problem Statement:** Determine the force in member CD of the truss shown in the figure. Note that the circled values represent areas in square inches. The modulus of elasticity E is constant. **Diagram Explanation:** - The truss is supported at points A, B, and C on the top horizontal member. - The top horizontal member is divided into sections AB (10 ft) and BC (15 ft). - The vertical height from point C to point D is 20 ft. - Member AD and CD form the two inclined members of the truss, each connecting to the base at point D. - Point D is located directly below point B at a distance of 30 ft from a fixed base. - The circled numbers on the members indicate their cross-sectional areas in square inches. **Truss Geometry:** - The truss forms a vertical triangular structure. - The members are subjected to forces due to the load applied on the top horizontal member. **Objective:** Calculate the force in member CD using the provided dimensions and cross-sectional areas, considering the modulus of elasticity E remains constant throughout.
Transcribed Image Text:**Truss Analysis: Determining the Force in Member CD** **Problem Statement:** Determine the force in member CD of the truss shown in the figure. Note that the circled values represent areas in square inches. The modulus of elasticity E is constant. **Diagram Explanation:** - The truss is supported at points A, B, and C on the top horizontal member. - The top horizontal member is divided into sections AB (10 ft) and BC (15 ft). - The vertical height from point C to point D is 20 ft. - Member AD and CD form the two inclined members of the truss, each connecting to the base at point D. - Point D is located directly below point B at a distance of 30 ft from a fixed base. - The circled numbers on the members indicate their cross-sectional areas in square inches. **Truss Geometry:** - The truss forms a vertical triangular structure. - The members are subjected to forces due to the load applied on the top horizontal member. **Objective:** Calculate the force in member CD using the provided dimensions and cross-sectional areas, considering the modulus of elasticity E remains constant throughout.
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