# Macaulay's Beam deflection

1. Apr 20, 2009

### gk1989

I have calculated one of the 2 questions successfully with it being a simply supported beam, now i am stuck on the remaining question. Previously i have used the double integration method.

It is as follows:

"A cantilever beam, 15m long has a UDL of 25N/m acting along its entire length and a point load of 250N at the free end. If EI for the beam = 100MN/m^2 calculate the slope and deflection of the beam at the free end "

How do i include 2 different load values which are of a different format UDL & point load? and how should the answer be carried out?

2. Apr 20, 2009

Generally, superposition is the key. I have not looked at at mechanics in awhile, but I recall this being the trick.

Whether you should use integration or tabulated formulas I don't know.

That depends on what your prof wants.

3. Apr 20, 2009

### mathmate

There is a book called Strength of Materials by J. P. Den Hartog (Dover edition) that contains a table/page for rotations and deflections of a cantilever beam subject to different loadings. I do not have my book handy with me, but the formulas are so straight-forward that they can be memorized by anyone vaguely familiar with the subject: