Design a single-column footing (including dowels) to support an 11 in. square column reinforced with eight no. 9 (no. 29) bars centered 2.5 in. from the column faces (equal number of bars on each face). the un-factored axial dead load 135 kips, and the un-factored axial live load 125 kips. for the column, fc= 4000 psi and fy= 60,000 psi. the base of the footing will be 3ft below grade. the allowable soil bearing pressure is 3000 lb/ft2. material strengths for the footing are pc= 3000 psi and fy= 60,000 psi.

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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

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