What force P is required to punch a ½ in. hole on a 3/8 in. thick plate if the ultimate shear strength of the plate is 42,000 psi?

Assuming a linear velocity profile, find the boundary layer thickness the wall shear stress, the displacement thickness and the drag for a flat plate with zero pressure gradient and free stream velocity U0. The plate has length L and width b. Do you have flow separation? If the answer is yes or no, explain why.

A snowplow mounted on a truck clears a path 12 ft through heavy wet snow, as shown in Figure P5.80. The snow is 8 in. deep and its density is 10 lbm/ft3. The truck travels at 30 mph. The snow is discharged from the plow at an angle of 45° from the direction of travel and 45° above the horizontal, as shown in Figure P5.80. Estimate the force required to push the plow.

The members of the structure in the figure weigh 200 lb/ft. Determine the smallest diameter pin that can be used at A if the shearing stress is limited to 5000 psi. Assume single shear.