Chapter 4, Problem 4.5.36P

A simple beam AB supports two connected wheel loads 3P and 2P that are a distance d apart (see figure). The wheels may be placed at any distance x from the left-hand support of the beam. (Assume P = 12 kN, d = 2 m, and 1 = 15 m.)

(a)

Determine the distance .y that will produce the maximum shear force in the beam, and also determine the maximum shear force V_max.

(b)

Determine the distance v that will produce the maximum bending moment in the beam, and also draw the corresponding bending-moment diagram.