Problem 9.24 - Beam Design

Problem Statement

A wide flange I-beam is fixed at one end into a wall, and loaded with both a distributed load w = 0.5 kN/m and a point load F = 1 kN. If length L = 12 m and the failure stress is 250 MPa, what is the lightest W-beam from Appendix A that could be used for the beam? Use a factor of safety of 2.

An I beam of length L is fixed to a wall on one end. The beam is subjected to distributed load w over the entire length and point load F at the tip.

Figure 1: An I beam is subjected to a distribued load and a tip force.

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