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{include: ANSYS 12 - Tensile Bar - Panel}

h4. Pre-analysis and start-up


h6. Analytical Approach:

Assuming plane stresses:

The two dimensional equilibrium equations are:
\\
{latex}
\begin{eqnarray}
{\partial \sigma_x \over \partial x} + {\partial \tau_{yx} \over \partial y} + F_x = 0 \nonumber\\
{\partial \tau_{xy} \over \partial x} + {\partial \sigma_y \over \partial y} + F_y = 0 \nonumber
\end{eqnarray}
{latex}

\\
Since we are ignoring the effects of gravity; there are no body forces per unit volume.

{latex}
\begin{eqnarray}
F_x = F_y =0\nonumber
\end{eqnarray}
{latex}
 !tut1eqn1.jpg!

Assuming no normal stress in the y direction://
\begin{eqnarray}
sigma_y = 0\  nonumber
\end{eqnarray} 

!tut1eqn4.jpg!
 The equilibrium equation in the y direction becomes: !tut1eqn5.jpg!
 
τ_yx must also be a constant, therefore the equilibrium equation in the x-direction becomes:

 
!tut1eqn3.jpg!

Therefore;
\\  !tut1 eqn3.jpg!

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, !tut1 eqn4.jpg!\\

h6.  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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