(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.

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# Homework Help: Deflection of a beam

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