A concrete floor system with a ratio of the longer to the shorter span length that is less than 2 is usually considered a two-way system.

Decide if the function is an exponential function. If it is, state the initial value and the base. (5 points) y = – 9.3 ⋅ 7x  

Find the amplitude y = 3 sin x (5 points)

If φVc = 66 kip and Vu = 26 kip, are stirrups required?

Find f(x) and g(x) so that the function can be described as y = f(g(x)). (5 points)y = + 2 

Convert the angle 18°15’27” to decimal degrees, and round to the nearest hundredth of a degree. (5 points)

Compute the exact value of the function for the given x-value without using a calculator. (5 points) f(x) = for x = -3

Choose the graph of y = 1.5sin x. (5 points)

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

In designing for shear, one must ensure that the shear strength equals or exceeds the flexural strength at all points in the beam.