Higher-Order ODEs: the Beam Equation

Set up the ODE solution (we will specify a unit beam stiffness) EI = 1

Functions for Typical Boundary Conditions and Beam Loading

Set up some typical boundary conditions:

A clamp fixes the position and the angle of a beam

The position of a beam and the applied moment (or torque) is applied with a Knob

Set up some typical beam loads

A unit load is a force of 1/length applied over the beam length

midload appliec a fixed load at x=1/2.

Boxload simulaties a "box" of a fixed width and weight per unit width placed at x

Simulated linearly decreasing distributed load (pushes up when x<1/2; down for x > 1/2)

Created by Wolfram Mathematica 6.0 (16 November 2007) |