The addition of compression reinforcement to an existing beam section increases the ductility of the section.

Assuming Vs does not exceed 4sqrt(f’c)bwd, the maximum spacing for vertical stirrups in the following beam is _____. Let d = 49 in., w = 41.5 in., and t = 5 in. There are five No. 9 longitudinal tension bars and No. 4 stirrups at 8 in. o.c.

Determine the domain of the function. (5 points)

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.

If φVc = 44 kip and Vu = 39 kip, are stirrups required?

Unique destruction disrupts the existing economic or industrial structure and creates a new industry or a new industrial structure through innovation. 

The primary purpose of a social entrepreneurship is to ____

f(x) = 3x + 9, g(x) = 3×2 Find (fg)(x). (5 points)

Evaluate the logarithm. (5 points) ln e9

Joseph Schumpeter came up with the term ‘creative destruction’ about the impact of innovative entrepreneurs.