6bex. Beam Bending Examples • Ex. 6b.1 • Ex. 6b.2 
Back  Index  Next 
Example 6b.2
Given: A simply supported solid circular rod with radius r = 1.2 in. and length L = 50 in. is subjected to a uniform distributed load of q(x) = 24 lb/in. Req'd: Determine: 
Taking a cut in the rod at an any distance x from the end and treating the length x as a FBD, the shear force and moment in the beam can be determined: The maximum moment occurs where V(x) = 0, or by symmetry, at x = L/2:

Sketch of shear and moment diagrams. 
(c) The maximum bending stress is: s_{max} = 5.53 ksi 