The beam shown is to carry a total factored uniform load of 10 kips/ft (includes beam weight) and factored concentrated loads of 20 kips. Use f′c = 4000 psi. The supports are 12-in. wide.
a. Design a rectangular beam (tension steel only).
b. Determine bar cutoffs (use the graphical approach).
c. Design the shear reinforcement and check bar cutoffs in tension zones if necessary.