(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

For the given beam (link), calculate the tip deflection for the given loadings. In addition to the applied load, the beam wt 2000 lbs/ ft.

E = 30 * 10^6 psi

I = 60 * 10^3 in^4

http://i52.tinypic.com/990xef.jpg

2. Relevant equations

deflection for the uniform load is: w= -p/ (24*E*I)* [(x^4) - (4*L*x^3) + (6*L^2*x^2)]

You use this to calculate the uniform load of 1000 lb/ft. I think you use this for the weight of the beam (2000 lb/ft) as well, but i am not too sure.

I have solved the deflection function by hand and have checked on sites and it is the correct case for uniform load.

3. The attempt at a solution

I know we have to use superposition, we have to separate them by uniform load of

1000 lb/ft, the 4000 lb load, 5000 lb load, and the weight of the beam itself... After I separate them, I solved for the deflection function for the uniform load of 1000 lb/ft.

I know that I need to do this for all four loads and then add them together at the end but I dont know how to calculate the deflection for the 4000 lb load, and 5000 lb load since they are not evenly spaced.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Deflection of a beam

**Physics Forums | Science Articles, Homework Help, Discussion**