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Pre-analysis and start-up
Analytical Approach:
Assuming plane stresses:
The two dimensional equilibrium equations are:
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+ {\partial \tau_
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\over \partial y} + F_x = 0 \nonumber
{\partial \tau_
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\over \partial x} +
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+ F_y = 0 \nonumber
\end
Since we are ignoring the effects of gravity; there are no body forces per unit volume.
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\begin
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F_x = F_y =0\nonumber
\end
Assuming no normal stress in the y direction://
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\begin
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\sigma_y = 0\nonumber
\end
The two dimensional equilibrium equations are:
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\begin
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+ {\partial \tau_
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\over \partial y} + F_x = 0 \nonumber
{\partial \tau_
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\over \partial x} +
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+ F_y = 0 \nonumber
\end
Since we are ignoring the effects of gravity; there are no body forces per unit volume.
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\begin
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F_x = F_y =0\nonumber
\end
Assuming no normal stress in the y direction://
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\begin
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\sigma_y = 0\nonumber
\end
The equilibrium equation in the y direction becomes:
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\begin
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{\partial \tau_
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\over \partial x} = 0\nonumber
\end
τ_yx must also be a constant, therefore the equilibrium equation in the x-direction becomes:
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\begin
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= 0\nonumber
\end
Therefore;
Apply Boundary Conditions:
If we make a cut at "A", as indicated in the problem specification, then the stress in A must be P/A.
Therefore, 
ANSYS simulation:
Open and start the simulation:
1. Download "Class demo1.rar"
2. Unrar the file
3. Open the folder
4. Double click "Class Demo1.wbpj"
5. Follow further instructions from lab supervisor.
[*Go to Results*]
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