Compute φVn for the cross section shown. Assume f’c = 5,000 psi, fyt = 60,000 psi, b1 = 31 in., b2 = 13 in., d1 = 8 in., d2 = 15 in., and that there are three No. 6 longitudinal tension bars and No. 5 stirrups at 9 in. o.c.

Shear stresses will exist in those parts of a beam where the moment is constant from section to section.

A 123-mm-long beam supports a load of P = 40 N at midspan. The cross section is rectangular with width b = 29 mm and height h = 60 mm. Determine the magnitude of the horizontal shear stress at the centroid of the cross section.

Compute φVn for the cross section shown. Assume f’c = 4,000 psi, fyt = 60,000 psi, b = 14 in., d = 23 in., and that there are four No. 7 longitudinal tension bars and No. 4 stirrups at 9 in. o.c.

Assuming Vs exceeds 4sqrt(f’c)bwd, the maximum spacing for vertical stirrups in the following beam is _____. Let b = 13 in. and d = 61 in. There are four No. 9 longitudinal tension bars and No. 3 stirrups at 6 in. o.c.

If φVc = 43 kip and Vu = 54 kip, are stirrups required?

Compute φVn for the cross section shown. Assume f’c = 4,000 psi, fyt = 40,000 psi, d = 22 in., w = 16.5 in., t = 4 in., and that there are four No. 8 longitudinal tension bars and No. 3 stirrups at 6 in. o.c.

A continuous beam’s flexural reinforcement must extend at least _____ from the point where it is no longer needed to resist tension. Assume f’c = 4,000 psi, fyt = 40,000 psi, d = 30 in., w = 20.5 in., and t = 6 in. There are five No. 6 longitudinal tension bars and No. 5 stirrups at 7 in. o.c.

If φVc = 27 kip and Vu = 56 kip, are stirrups required?

A beam has dimensions of b = 18 in., h = 24 in., and d = 21.5 in. and is reinforced with 2 No. 6 bars. The concrete strength is 9,400 psi, and the yield strength of the reinforcement is 60,000 psi. Determine the strength Mn for this beam.