A reinforced concrete beam has reinforcement has cross section width of b-16\" a

Question

A reinforced concrete beam has reinforcement has cross section width of b-16" and effective depth d-18". Concrete strength is 3000 psi and Grade 60 steel is used for both longitudinal rebar and shear reinforcement. The shear reinforcement is No. 3 U-shape stirrup. It has various stirrup arrangements shown in following figure: No. 3 at 4" . No. 3 at9" o.cNo. 3 at 4" o.c Zone B Calculate the nominal shear capacity V, and factored shear capacity V, of this beam in Zone A and O.C Zone A Zone A Zone B, respectively.

Explanation / Answer

Zone A

Nominal shear capacity of concrete=2*sqrt(f'c)bd=2*sqrt(3000)*16*18=31.55 kips

Area of shear reinforcement=0.22in²

Spacing=4"

Nominal capacity of shear reinforcement=0.22*60*18/4=59.4 kips

Therefore, nominal capacity of zone A=59.4+31.55=90.5 kips

Factored capacity=.75*90.5=67.87

Zone B

Concrere strength will be as zone A=31.55 kips

Shear reiforcement capacity=0.22*60*18/9=26.4 capacity

Nominal capacity=31.55+26.4=57.5 kips

Factored capacity=0.75*57.5=43.1 kips

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