How Do You Calculate Fr and Xr in Distributive Load Problems?

[jmcmillian]

I am working on a distributive load problem involving two different functions on a graph that join together at a common point (one is half of a parabola, the other is a general y=mx+b line)

To find Fr, I know that I integrate each equation independently with respect to the variable (in this case, x) and then evaluate at their X values on the given graph.

To find Xr, I believe that I integrate each equation independently AGAIN (integral of an integral), evaluate at the same X values as before, add, and then divide by Fr.

Does this sound right? I seemed to have misplaced my book today, otherwise I wouldn't try to bother anyone.

Thank you for your help!

 

[member 553083]

Yes, that sounds correct. In general, for distributive load problems, you need to integrate each equation independently with respect to the variable (in this case, x) and then evaluate at their X values on the given graph to find Fr. To find Xr, you need to integrate each equation independently again (integral of an integral), evaluate at the same X values as before, add, and then divide by Fr.