STATEMENT OF PROBLEM

This problem shows an application of the calculus to the analysis of one of the simplest load carrying structures: the beam. In particular, you will be finding the amount of deflection (bend or sag) in a beam carrying a distributed load. Here is the schedule of activities:

(1) background reading to understand the basics

(2) work through a simple problem with hints

(3) work through a more advanced problem using what you have
learned.

The calculus skill you will be applying is integration.

Read this to become a structural engineer.

Here is a simple problem worked out.

Here is your problem.