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I need to solve for a force P for the following picture using the following info

ID: 1850499 • Letter: I

Question

I need to solve for a force P for the following picture using the following information *each member has an area of 1.5 inches square *the members are constructed of A-36 steel with a Young's Modulus of 29e3 ksi *point A is deflected downwards 0.025 inches

I found the length of each member to be 29.98 inches when force P is applied, which gives me delta = -0.02 inches. I believe the equation I need to solve is

using the following givens I find an equation of


However the correct equation is

I need help to figure out what I am doing wrong, I should be able to find P once I understand how to get to the above equation.

Explanation / Answer

apply force balance equation along x and y , and balance torque about B