Hi Im trying to help a friend of mine out with this problem he has in a solid mechanics class he is taking, but it has been awhile since I took that course so i was hoping you guys could help me help him :) Here is the problem he gave me. in that image p1 p2 and E1 E2 are the density and Youngs modulus respectively So what we are needing to find is the deformation of the 2 material beam as a function of postion (x). He said his prof. instructed him to first find the 'supportive' forces P1 P2 and then solve for the deformation in terms of those. Since this beam is fully constrained we know that the total deformation will be zero (0) and that P1+P2= W where W is equal to the weight force downward acting on the entire beam. Where I have a hard time is knowing how to solve for these P1 & P2 forces, with the equations: 1: P1 + P2 = W 2: 0=(deformation part 1)+(deformation part 2) first since when I make my 'cuts' in region 1 and 2 to solve for the deformation in that portion of the beam I have another force say p(x) which is dependent on those other forces. Any insight, helpful links would be appreciated. I know you guys used to help me out with my HW so hopefully you can help me on this. Thanks in advance.