For the beam on a linearly elastic foundation shown in Figure 10.1, replace the concentrat...

For the beam on a linearly elastic foundation shown in Figure 10.1, replace the concentrated load P by a concentrated (counterclockwise) moment M0 at point 0. The beam has bending stiffness EI and the foundation has a spring constant k (force/area). Derive analytical expressions for the deflected shape y(z), rotation B(z), internal moment M(z), and internal shear V(z). Sketch each of the four expressions as is done in Figure 10.1 (see Example 10.3).

FIGURE 10.1 Infinite beam on an elastic foundation and loaded at origin.

Example 10.3