For a beam with a uniformly distributed load, different materials and sizes are being considered

for use.

With the information given below, determine which configuration results in the least amount of

deflection for a simple span beam. Assume all other variables are equal.

Option $1$ Wood:

Modulus of Elasticity, E $=1,400,000$ psi

Moment of Inertia, I $=2390$ in$4$

Option $2$ Steel:

Modulus of Elasticity, E $=29,000,000$ psi

Moment of Inertia, I $=13\mathrm{.}1$ in$4$

Option $3$ Concrete:

Modulus of Elasticity, E $=3,800,000$ psi

Moment of Inertia, I $=32,928$ in$4$

Least amount of deflection provided by: $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

Response must be justified.

Requirement $5$:

A steel beam is supporting a typical floor on deck.

Another beam is going through a shaft, and has no other attachment on it$.$

Same size, same length. Which beam has more capacity and why?

$\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

$\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$