What size standard steel I-Beam is needed to span a 14ft door opening in a concrete block wall and support a second floor parts storage mezzanine above?
Assumptions:
1) Mezzanine floor is rated at 125 lb/ft^2 capacity. (Is this typical?)
2) Beam carries an evenly distributed load. (Wooden trusses rest on top of beam, perpendicular to beam)
3) A 20ft long beam can be used to span the 14' opening with 3ft resting on the wall on each end.
4) Ideal I-Beam height/width is 8"x8" because of space contraint. When using Max Displacement = -(5*p*L^4)/(384EI) the displacement continues to calculate (using a W8x31) over 1" deflection. Even when calculating with a W10x45 the defection is high. Please help.