Calculating Beam Load Proportionality with Point Loads

[kye]

Supposed you have a beam supported by 2 columns at the beam ends. At the middle of the beam, let's say there is a point load, the weight shared by the 2 columns is 1/2 each. How about if the point load is in the 3/4 portion of the beam, what is the corresponding share of each column of the weight? Is it proportional? exponential? What else?

 

[Simon Bridge]

You should be able to work that out the same way as for the equidistant load - just draw a fbd for the beam and work through the usual statics methods: the sum of the forces and the moments has to be zero.