I am trying to find the deflection of a hydraulic cylinder at point A (refer the attached).
There are two hydraulic cylinders, with certain distance apart. On top of it is a beam that is inclined to the horizontal by 12 degrees. The piston is operated by two different pumps, which facilitates in extending and retracting of the pistons individually. I have captured the length of the piston after the guide in the hydraulic cylinder, as it is firmly fixed.
A UDL of 1.56 N/mm is acting on the beam perpendicular to the horizontal.
Please refer the attached to get the geometry of the system.
I have calculated the moments at point A and B, by assuming these points as fixed. However, they are all rotary joints.
The reason to assume it to be fixed is to break the system into two sub-systems. One is the beam and other are the pistons.
After finding the moment at A and B from first subsystem, I transfer the moment into second sub system to obtain the deflection at A. (deflection = M(L^2)/(2EI))
The Attempt at a Solution
I have attached the excel sheet, where I have done my calculations.
I have ended up with 0.54mm as the deflection. But, this is by assuming the piston is a cantilever (deflection = M(L^2)/(2EI))
However, it is not a cantilever with a free end. The deflection obtained from FEA is 0.036mm.