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applied service loads without exceeding the maximum live load deflection limit of L/360

applied service loads without exceeding the maximum live load deflection limit of L/360

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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**Assignment 6.2: Beam Deflection** **Applied Service Loads:** - \(w_1 = 500 \, \text{lb/ft}\) - \(w_2 = 1000 \, \text{lb/ft}\) A diagram is depicted showing a beam supported at both ends with distributed loads applied across its length. The span length of the beam is noted as 20 ft. **Task:** If lateral support is provided at both ends and at mid-span, select the lightest W section of A992 steel that can safely carry the applied service loads without exceeding the maximum live load deflection limit of L/360. **Hint:** Use the maximum allowable deflection to determine \((I_x)_{\text{required}}\) for the section. **Diagram Explanation:** - The beam is horizontally placed with arrows indicating two different uniformly distributed loads along its length. - The support points are marked at each end of the beam, signifying where it is held up. - The notation \(L = 20 \, \text{ft}\) denotes the length of the span across which the loads are applied. This assignment is designed to help students apply principles of structural engineering and material science to real-world scenarios, focusing on selecting suitable steel sections based upon load requirements and deflection limits.
Transcribed Image Text:**Assignment 6.2: Beam Deflection** **Applied Service Loads:** - \(w_1 = 500 \, \text{lb/ft}\) - \(w_2 = 1000 \, \text{lb/ft}\) A diagram is depicted showing a beam supported at both ends with distributed loads applied across its length. The span length of the beam is noted as 20 ft. **Task:** If lateral support is provided at both ends and at mid-span, select the lightest W section of A992 steel that can safely carry the applied service loads without exceeding the maximum live load deflection limit of L/360. **Hint:** Use the maximum allowable deflection to determine \((I_x)_{\text{required}}\) for the section. **Diagram Explanation:** - The beam is horizontally placed with arrows indicating two different uniformly distributed loads along its length. - The support points are marked at each end of the beam, signifying where it is held up. - The notation \(L = 20 \, \text{ft}\) denotes the length of the span across which the loads are applied. This assignment is designed to help students apply principles of structural engineering and material science to real-world scenarios, focusing on selecting suitable steel sections based upon load requirements and deflection limits.
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