A rectangular reinforced concrete beam with dimensions b = 14in, d = 25in, and h = 28in is reinforced with three No. 10 bars. Material strengths are fy = 60,000 psi and fc prime = 5,0000 psi.
a.) Find the moment that will produce the first cracking at the bottom surface of the beam, basing your calculation on I gross, the moment of inertia of the gross concrete section.
b.) Repeat the calculation, using Iut, the moment of inertia of the uncracked transformed section.
c.) Determine the maximum moment that can be carried without stressing the concrete beyond 0.45 fc prime or the steel beyond 0.60fy.
d.) Find the nominal flexural strength from part (d.) to the service capacity from part (c.).
e.) Compute the ratio of the flexural strength from part (d) to the service capacity from part (c).