A cross section through a railroad bed is shown. The rails are supported by ties that are...

A cross section through a railroad bed is shown. The rails are supported by ties that are made of wood or sometimes concrete, and the ties rest on ballast, which is usually crushed stone. Assuming the ballast applies a uniformly distributed load to the ties, determine the shear and moment in a tie due to the 10 kip forces and the distributed load from the ballast as functions of position. Draw the shear and moment diagrams.

Figure P8.54