Determine the least-weight W-shape to support a concentrated dead load of 24 kips plus the beam self-weight and a concentrated live load of 15 kips on a 30ft span. The concentrated loads are located at the midpoint of the span. Lateral supports are provided at the supports and at the load point. Use A992 steel and Cb = 1.0. Design for flexure by (a) LFRD and (b) ASD.

answer:

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Explanation:

                  b

Explanation:

A Carnot heat engine receives heat from a reservoir at 900$^\circ{}$C at a rate of 800 kJ/min and rejects the waste heat to the ambient air at 27$^\circ{}$C. The entire work output of the heat engine is used to drive a refrigerator that removes heat from the refrigerated space at -5$^\circ{}$C and transfers it to the same ambient air at 27$^\circ{}$C. Determine (a) the maximum rate of heat removal from the refrigerated space and (b) the total rate of heat rejection to the ambient air. Answers: (a) 4982 kJ/min, (b) 5782 kJ/min