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Homework Statement
Hello all,
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.
Homework Equations
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 subsystems. 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.
Please help.
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