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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

Unknown macro: {eqnarray}
Unknown macro: {partial sigma_x over partial x}

+ {\partial \tau_

Unknown macro: {yx}

\over \partial y} + F_x = 0
{\partial \tau_

Unknown macro: {xy}

\over \partial x} +

Unknown macro: {partial sigma_y over partial y}

+ F_y = 0
\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
\end

Assuming no normal stress in the y direction:

 The equilibrium equation in the y direction becomes:
 
τ_yx must also be a constant, therefore the equilibrium equation in the x-direction becomes:

 

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. 


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