Need help with the question 1 along with making the diagrams n your own consecut

Question

Need help with the question 1 along with making the diagrams

n your own consecutively numbered Sheets WORKING ONLY IN PENCIL you may highlight ith highlighter or Pen solve the following in the time allotted. 1- (50 pts) Given A beam with a span of 30 feet with a service live load of w 2.0 K/ft and a service dead load, including the beam of 1.25 k/ft Find a beam with a min depth of 12 inches and a max depth of 16.25 inches. To support the loading. Use LRFD only and Fy - 50 Ksi. Total service load deflection allowed is L/240 and total service live load deflection allowed is L/360. 2 Be sure to draw load and reaction diagram and V, M diagrams ow all work. (30 pts) For the beam in Problem # 1 add a service live load of 30 K at mid span. Find a am that will work given the depth constraints, solve for Moment only. So Just Moment lution for the addition to the loadings above of the service point load of 30 K at mid-span th to say 15 feet from each end.

Explanation / Answer

Given span of beam=30 feet

live load = 2 kip/ft

dead load = 1.25 kip/ft

LRFD level load on beam=(1.2*1.25)+(1.6*2)=4.7 kip/ft

design moment of beam = 4.7*302/8=528.75 kip-ft

The required sectiomn is w14x99

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