Design a frame to support a cast iron lathe. The lathe is 4 ft long, weighs 200 lbs, and is 8 inches deep. Compare three different beam designs to support this lathe and evaluate which one is the best to support transverse shear loading (you should ignore all other stresses for this portion). At least one of your beam designs should be "built up" (two or more sections joined together). • For one of your three beams, find the maximum shear stress at the interface between two sections (this applies to a built-up beam). • Occasionally, the lathe frame will need to be moved around. Assume that during this condition, a normal force of 200 lb. is added to your frame. Find the total state of stress from all sources of stress at the point of maximum shear stress you found above. 1. Draw Mohr’s circle for the state of stress. 2. Using your circle, estimate the principal stresses and maximum shear stress at this point.