Difference Between FEA Result and Hand Calculation in Beam Bending?

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Kajan thana
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Hi Guys,
I am doing some lab work on bending cantilever beam and its deflections in both directions y and z directions. For the deflection on the Z-axis, the ANSYS value is positive and the analytical value is negative. I don't know whether I am doing the calculation wrong or is there a specific reason why the direction differs? I have also made sure that the orientation of the axis is the same for both works.
Handwritten derivation of beam deflection: second-derivative equation for w with E, Iy, Iz, Iyz and moment Mz, integrated to give w(x) = Y(312x^2/2 - x^3/6 + Dx + C), with Y = -2.43417 x 10^-7 and final w(x) = -3.8 x 10^-5 x^2 + 4.06 x 10^-8 x^3.
This is the analytical working out. I substituted the value of 306mm ( the maximum length of the beam) to find the maximum deflection along the Z-axis. Which came out to be -2.39mm. But according to Ansys the average deflection is 0.3mm and the maximum deflection is 0.8mm.

ANSYS Mechanical screenshot of a deformed angle section beam coloured by Z-axis directional deformation, with a legend from -2.4449e-8 to 0.00081955 m and a yellow-circled Solution Information table of minimum, maximum and average values.
This is the Ansys Values.
 
There are at least two problems with your question.
1) You have not told us how the axes are oriented (there is no universal orientation),
2) Your hand calc is too small to be read.
Please fix these for us, and then maybe there will be help.
 
berkeman said:
Can you share please?
I ignored a negative sign in my analytical calculation, this is why I had two values in the opposite direction.