The truck is to be used to transport the concrete column. If the column has a uniform weight of w (force/length), determine the equal placement a of the supports from the ends so that the absolute maximum bending moment in the column is as small as possible. Also, draw the shear and moment diagrams for the column.

Problem 6-46

The truck is to be used to transport the concrete column. If the column has a uniform weight of w (force/length), determine the equal placement of the supports from the ends so that the absolute maximum bending moment in the column is as small as possible. Also, draw the shear and moment diagrams for the column.

Step by step solution

Step 1 of 7

The column is simply supported ,with cantilevered ends,and is acted upon by a uniformly distributed load(UDL) everywhere;

First we will derive the general expressions for the reactions and the shear force and bending moment functions.

Support reactions

Define the vertical reaction forces at the supports,.Due to the symmetry of the

Supports and the loading,.

Apply vertical force equilibrium: