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Pre-analysis and start-up
Analytical Approach:
Assuming plane stresses:
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 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
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Therefore;
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\begin
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\sigma_x = constant\nonumber
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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:
The idea of this exercise is to allows you to gain understanding into the difference between analytical solution and numerical solution (ANSYS simulation). Therefore, in this case we have bypassed creation of geometry, mesh and solution and skipped ahead to the results.
1. Download "Class demo1.zip" by [clicking here|^Class demo1.zip]
The zip should contain:
class demo1 folder
class demo 1_files folder
class demo 1.wbpj
Please make sure both the files and wbpj are in the folder, the program would not work otherwise. (Note: The solution was created using ANSYS workbench 12.0 release, there may be compatibility issues when opened with other versions)
4. Double click "Class Demo1.wbpj".
[*Go to Results*]
[See and rate the complete Learning Module]