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Select the lightest W-section for the simply-supported beam shown. The beam is subjected to a central concentrated load of 40kips and a uniformly distributed load of 2 kips/ft. The loads are factored. Lateral support is provided at the ends and at midspan. 20 ft Pu=40kips 20 ft W₁ = 2 kips/ ft

Select the lightest W-section for the simply-supported beam shown. The beam is subjected to a central concentrated load of 40kips and a uniformly distributed load of 2 kips/ft. The loads are factored. Lateral support is provided at the ends and at midspan. 20 ft Pu=40kips 20 ft W₁ = 2 kips/ ft

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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### Design Problem: Beam Selection **Objective:** Select the lightest W-section for the simply-supported beam depicted. **Beam Details:** - The beam is subjected to: - A central concentrated load of 40 kips. - A uniformly distributed load of 2 kips/ft. - The loads depicted are factored. - Lateral support is provided at the beam ends and at midspan. **Diagram Explanation:** The diagram illustrates a simply-supported beam extending over a span of 40 feet, with two equal segments of 20 feet each. - **Supports:** - At the left end: A fixed support is shown with a pin joint. - At the right end: A roller support is depicted. - **Loads:** - **Concentrated Load:** A vertical downward red arrow labeled \( P_u = 40 \text{kips} \) is applied at the beam's midpoint. - **Uniformly Distributed Load:** Green arrows pointing downward along the entire length of the beam represent the uniformly distributed load of \( W_u = 2 \text{kips/ft} \). The diagram's annotations and color coding help visualize the load distribution and support layout for this structural analysis problem.
Transcribed Image Text:### Design Problem: Beam Selection **Objective:** Select the lightest W-section for the simply-supported beam depicted. **Beam Details:** - The beam is subjected to: - A central concentrated load of 40 kips. - A uniformly distributed load of 2 kips/ft. - The loads depicted are factored. - Lateral support is provided at the beam ends and at midspan. **Diagram Explanation:** The diagram illustrates a simply-supported beam extending over a span of 40 feet, with two equal segments of 20 feet each. - **Supports:** - At the left end: A fixed support is shown with a pin joint. - At the right end: A roller support is depicted. - **Loads:** - **Concentrated Load:** A vertical downward red arrow labeled \( P_u = 40 \text{kips} \) is applied at the beam's midpoint. - **Uniformly Distributed Load:** Green arrows pointing downward along the entire length of the beam represent the uniformly distributed load of \( W_u = 2 \text{kips/ft} \). The diagram's annotations and color coding help visualize the load distribution and support layout for this structural analysis problem.
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