I have a retangular steel (A36) tube that is 2x6 inches with a 5/16 inch wall and 11 feet long. Can it center lift a 5000 pound weight attached evenly to its endpoints? How much deflection will occur by this 5000 pound weigth? (Converse: A 5000 pound mid-point weight on this beam supported at its ends.) Its a moment of inertia is 18.2 in^2: MI = (2 * 6^3 - 1.375 * 5.375^3) / 12 = 18.21
Deflection of this beam, center lifting a 5000 pound load: Deflection = 132^3 * 5000 / (48 * 29 * 10^6 * 18.21) = 0.454"
Are these calculations correct? What is the maximun weight this bar can support before being permanently deformed?