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A simply supported beam with a span length of 40 ft. carries two equal concentra

ID: 1866451 • Letter: A

Question

A simply supported beam with a span length of 40 ft. carries two equal concentrated service live loads of 20, 40, and 20 kips at every 10 ft (quarter point) as shown. If lateral support is provided at both ends and at the load points determine the lightest w sections of a 992 steel that carry these applied loads. Neglect the weight of the beam when calculating C.

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A simply supported beam with a span length of 40 ft carries concentrated service live Problem 1 loads of 20, 40, and 20 kips at every 10 ft (quarter point) as shown. If lateral support is provi ends and at the load points, determine the lightest W section of A 992 steel that carry these applied loads. Neglect the weight of the beam when calculate C (30 points) PB- 300 40 20 20 I0 10 lo P 300 P 600

Explanation / Answer

The highest bending moment in the beam will be at the midspan

service moment in beam at midspan due to live load = (20*10)+(40*40/4)=600 kip-ft

design moment at midspan of beam = 600*1.6=960 kip-ft

unbraced length of beam = 10 feet

Therefore, the loghtest beam that has bending capacity gtreater than 960 kip-ft for unbraced length of 10 feet is W30x90

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