Problem 7.27 - Graphical Methods for Shear Force & Bending Moment Diagrams

Problem Statement

A beam is loaded as shown. Determine the distance from point A to where the internal shear force is zero. Assume w = 3 kN/m, F1 = 8 kN, and F2 = 5 kN.

Picture of a beam with a series of loads applied. F1 occurs at A, w occurs from A to B, and F2 occurs at C. The beam is attached to the wall at D. The distance from A to B is 3m, the distance from B to C is 2m, and the distance from C to D is 1m.

Figure 1: A beam is loaded as shown.

[Problem adapted from © Kurt Gramoll CC BY NC-SA 4.0]