A cross section through a railroad bed is shown. The rails are supported by ties that are made of wood, and the ties rest on ballast, which is crushed stone. Assume the ballast applies a uniformly distributed load to the ties, as shown in the detail below. Determine (a) the value of this uniformly distributed (rectangular) load, in kip/inch. Then determine the value of (b) the shear force and (c) the bending moment, at the center of the tie (point C). a) w = 10 kip 20 in. 10 kip 20 in rails 30 in 60 in. C 30 in w, kip/in. 10 kip 20 in. 10 kip 20 in tie b) V(C) = c) M(C) = ballast kip/inch kip kip inches