Problem $2)$ A simply supported girder must be designed to support the floor beams in the previous problem.

Each girder is supporting $2$ ends of floor beams every $8$ feet except at the ends. The girder is $32$ feet long and is

supported laterally along its length. The girder will be made from A$36$ steel. A safety factor of $1\mathrm{.}6$ must be used

for stresses due to bending and $1\mathrm{.}45$ for stresses due to shear. Do the following:

Determine the loads for the girder. Make sure you have included the weight of the floor beams.

Remember every $8$ feet $($except at the very ends$)$ the girder is supporting one end each of two floor

beams.

Determine the allowable bending stress for the girder.

Determine the allowable shear stress for the girder.

Determine the supporting reactions at the end of the girder.

Determine the maximum shear load in the girder.

Determine the maximum moment load in the girder.

Determine the required Section Modulus for the girder $($ignore beam weight$)$

Select the lightest wide flange beam to use for this girder.

Show that the bending stress in the wide flange beam selected is ok $($include girder weight$).$

Show that the average shear stress is ok $($include girder weight$).$

Make sure all $10$ items above are clearly shown with a clear presentation of the calculations for each.