# In the following three problems you may assume that the effective depth for beams with one layer …

In the following three problems you may assume that the effective depth for beams with one layer of reinforcement can be calculated as (h-3 in.). and as (h-4 in.) for beams with two layers of reinforcement. Consider the unit weight of concrete to be 150 pcf. A rectangular reinforced concrete beam has a width of 14 in. and a height of 33 in. The beam is simply supported with a span length of 16 ft. The beam is subjected to a uniform service live load of 7.11 klf. and the only dead load is the beam self-weight. The beam is located in an office building. Material strengths are f_y = 60.000 psi and f_c = 6.000 psi. and the concrete maximum aggregate size is 0.75 in. You may assume that No. 3 stirrups will be provided for shear reinforcement. Design the flexural reinforcement. Perform all the required code checks in your design. Sketch the cross section, and show the reinforcement. Design a rectangular reinforced concrete beam that resists a factored positive bending moment of 270 k-ft (including all loads applied to the beam). The width of the beam is set at 16 in. Material strengths are f_y = 60.000 psi and f_c = 5.000 psi. and the concrete maximum aggregate size is 1.00 in. You may assume that No. 3 stirrups will be provided for shear reinforcement. Perform all the required code checks in your design. Sketch the cross section, and show the dimensions and reinforcement. Design a 12-ft. long cantilevered rectangular reinforced concrete beam subjected to a maximum factored negative bending moment of 250 kip-ft (including all loads applied to the beam). The width of the beam should be approximately equal to half of its effective depth. Material strengths are f_y_= 60.000 psi and f_c = 5.000 psi. Assume the maximum aggregate size in the concrete to be 0.75 in., and No. 3 stirrups for shear reinforcement. Perform all the required code checks. Sketch the cross section, and show the dimensions and reinforcement.

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