62. A simple span beam with a uniformly distributed dead load of 1.0 k/ft, plus its self-weight, and concentrated dead loads of 2.5 kips and live loads of 8.0 kips at the quarter points of a 20-ft span, is to be designed with lateral supports at the supports and mid-span. The live load deflection must be limited to 1/240 of the span. Use the correct Cb and be sure to check shear. Determine the least-weight W-shape to carry the loads. Use A992 steel. Design by (a) LRFD

62. A simple span beam with a uniformly distributed dead load of 1.0 k/ft, plus its self-weight, and concentrated dead loads of 2.5 kips and live loads of 8.0 kips at the quarter points of a 20-ft span, is to be designed with lateral supports at the supports and mid-span. The live load deflection must be limited to 1/240 of the span. Use the correct Cb and be sure to check shear. Determine the least-weight W-shape to carry the loads. Use A992 steel. Design by (a) LRFD

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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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

62. A simple span beam with a uniformly distributed dead load of 1.0 k/ft, plus its self-weight, and concentrated dead loads
of 2.5 kips and live loads of 8.0 kips at the quarter points of a 20-ft span, is to be designed with lateral supports at the
supports and mid-span. The live load deflection must be limited to 1/240 of the span. Use the correct Cb and be sure to
check shear. Determine the least-weight W-shape to carry the loads. Use A992 steel. Design by (a) LRFD

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Step 1: Introduce the problem statement

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Step 2: Determine ultimate shear force and bending moment

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Step 3: Deflection of beam due to live load

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Step 4: Determine minimum moment of Inertia

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Step 5: Assume a trial section

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Step 6: Classify the section

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Step 7: Determine Cb

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Step 8: Check the beam for flexure

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Step 9: Check the beam for shear

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