Method of superposition. When a concentrated upward force P is applied (alone, b
ID: 1816606 • Letter: M
Question
Method of superposition. When a concentrated upward force P is applied (alone, by itself) to the free end of a cantilevered beam, the upward deflection v is given by v = Px2/6EI(3L - x) and when a concentrated counterclockwise torque M0 is applied (alone, by itself) to the same end. the deflection v is v = M0x2/2EI Suppose you have a beam of length L = 10, with El = 1000, in some convenient set of units. You intend to simultaneously apply a upward force P and a bending moment M0 so that the deflection at i = L is v(L) = 1 and the slope Phi at x = L is identically zero (locally horizontal). What should be the values (same system of units) for P and M0?Explanation / Answer
There are formulas for deflection relating to force. If you want to you could draw shear and moment diagrams for a visual aide.