Compute φVn for the cross section shown. Assume f’c = 8,000 psi, fyt = 60,000 psi, b = 15 in., d = 23 in., and that there are four No. 6 longitudinal tension bars and No. 5 stirrups at 11 in. o.c.

At a point subjected to plane stress, the stresses are σx = 70 MPa, σy = –60 MPa, and τxy = 10 MPa. Determine the angle θp corresponding to the orientation of the principal planes at the point.

In a mechanical splice, the force in one bar is transferred to the concrete, which transfers it to the adjacent bar.

_______ cracks occur first due to flexural stresses and start at the bottom of the beam.

To ensure safety in building design, standards recommend that shear strength be _______ flexural strength at all points on a beam.

To help prevent excessively wide inclined cracks, the textbook author recommends the use of _______.

A simply-supported beam has a 5 kip/ft uniformly-distributed load over the left half of its 9-ft span. What is the magnitude of the maximum shear force in the beam?

Inclined stirrups are an ineffective solution for resisting seismic loads.

A simply-supported beam has a 2 kip/ft uniformly-distributed load over the entire 8-ft span. What is the magnitude of the maximum shear force in the beam?

_______ must occur before a shear failure can occur in most concrete beams.