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5. Use the moment area method to determine the slope and displacement at C. Use a steel beam W 8 x 10 with E = 29,000 ksi, and I = 30.8 in". 150k B 10 ft 10 ft 10ft

5. Use the moment area method to determine the slope and displacement at C. Use a steel beam W 8 x 10 with E = 29,000 ksi, and I = 30.8 in". 150k B 10 ft 10 ft 10ft

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:** Use the moment area method to determine the slope and displacement at point C. Utilize a steel beam W 8 × 10 with the following properties: - Modulus of Elasticity, \( E = 29,000 \) ksi - Moment of Inertia, \( I = 30.8 \, \text{in}^4 \) **Diagram Description:** The image depicts a simply supported beam \( AC \), with supports at points \( A \) and \( C \), and a point load of 150 kips applied vertically downward at a point between \( A \) and \( C \). - **Beam Dimensions:** - The span from \( A \) to \( B \) is 10 feet. - The span from \( B \) to \( C \) is also 10 feet. - **Support and Load Details:** - \( A \) is a pin support. - \( C \) is a roller support. - The load of 150 kips is applied at the midpoint, creating equal segments (10 feet each) on the left and right side of the load application point. **Method Explanation:** The moment area method involves calculating areas under the moment diagram and using these areas to determine the changes in slope and deflection along the beam. It is particularly useful in finding the deflection at specific points and is applicable in various structural analysis problems.
Transcribed Image Text:**Problem Statement:** Use the moment area method to determine the slope and displacement at point C. Utilize a steel beam W 8 × 10 with the following properties: - Modulus of Elasticity, \( E = 29,000 \) ksi - Moment of Inertia, \( I = 30.8 \, \text{in}^4 \) **Diagram Description:** The image depicts a simply supported beam \( AC \), with supports at points \( A \) and \( C \), and a point load of 150 kips applied vertically downward at a point between \( A \) and \( C \). - **Beam Dimensions:** - The span from \( A \) to \( B \) is 10 feet. - The span from \( B \) to \( C \) is also 10 feet. - **Support and Load Details:** - \( A \) is a pin support. - \( C \) is a roller support. - The load of 150 kips is applied at the midpoint, creating equal segments (10 feet each) on the left and right side of the load application point. **Method Explanation:** The moment area method involves calculating areas under the moment diagram and using these areas to determine the changes in slope and deflection along the beam. It is particularly useful in finding the deflection at specific points and is applicable in various structural analysis problems.
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