At a point subjected to plane stress, the stresses are σx = 50 MPa, σy = –90 MPa, and τxy = 70 MPa. Determine the angle θp corresponding to the orientation of the principal planes at the point.

A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 8 No. 8 bars at a depth of 24 in. The top row contains 6 No. 7 bars at a depth of 18.5 in. Determine the effective (centroidal) depth, d, of the steel.

Because a slab is thinner than the beams supporting it, the concrete in the slab shrinks more rapidly than the concrete in the beams.

A beam has dimensions of b = 20 in., h = 10 in., and d = 7.5 in. and is reinforced with 4 No. 9 bars. The concrete strength is 4,700 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 3.686 in., does the reinforcement yield?

A beam has dimensions of b = 14 in., h = 30 in., d’ = 2.5 in., and d = 27.5 in. It is reinforced with 2 No. 5 bars on the compression side and 4 No. 8 bars on the tension side. The concrete strength is 2,800 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 5.68 in., determine the strain in the compression reinforcement, ε’s.

A 115-mm-long beam supports a load of P = 29 N at midspan. The cross section is rectangular with width b = 25 mm and height h = 60 mm. Determine the magnitude of the horizontal shear stress at the centroid of the cross section.

Which of the following is not a purpose of concrete cover?

The shear failure of a slender beam without stirrups is _______.

Smaller diameter aggregate creates a rougher crack surface, allowing higher shear stresses to be transferred across cracks.

Flexural stiffness is inversely related to span length. Therefore, slab panels are much stiffer in their shorter span direction than in the longer span direction.