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(Solved): Torsion - Shear Stress and Shear Strain Purpose: Apply Torque to varied circular shafts to measure ...


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Torsion - Shear Stress and Shear Strain

Purpose: Apply Torque to varied circular shafts to measure and study the concepts of shear stress, shear strain and shear modulus.

Identify the difference between actual measurements and the theoretical values of varied material properties and shapes.

Background Information Use the theory and equations from chapter three on Torsion from your textbook to prepare for this lab. The basic concepts needed for this lab will be reviewed in a class before the lab. You may use the equation G = E/2(1 + ν) and the properties of Materials from the Appendix of your textbook to determine the theoretical expected values for the Shear Modulus for the materials tested. Do your own independent search for what the theoretical expected values should be.

Analysis:

  1. Use your measurements to calculate the Angle of Twist ϕ, the Shear Strain ɤ , the Shear Stress τ and the Shear Modulus G.
  2. Provide plots of the stress - strain curve for each of the materials tested.
  3. For the plastic hollow tubes, use the Polar Moment of Inertia equations for both hollow and thin wall equations to compare the Ip values for both pipes.
  4. Explain why the values are similar or different for the different wall thickness provided. You decide which Ip equation value to use to calculate the Shear Stress and Shear Modulus as outlined on your data collection form.
  5. Explain the reasons for any difference between the calculated Shear Modulus and the theoretical Shear Modulus for the plastic materials tested.
\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline Lab \#2 Tc & e - Da & Colle & & & Group & Name & & & & & & Engn & 2310 & & Date & & \\ \hline Bar & \begin{tabular}{|l} Force \\ newtons \end{tabular} & Moment arm & torque & \begin{tabular}{l} L \\ length \end{tabular} & d2 (o.d.) & d1 (i.d.) & d-avg & & Ip & & \begin{tabular}{l} Angle of T \\ \end{tabular} & \begin{tabular}{l} Wist \\ dius \end{tabular} & & & & \begin{tabular}{l} \\ \end{tabular} & \begin{tabular}{l} G \\ TL/ \\ Ip \end{tabular} \\ \hline & & & & & & & & & Hollow & Thin wall & arc & radius & radians & degree & \begin{tabular}{l} Shear \\ Strain \end{tabular} & \begin{tabular}{l} shear \\ stress \end{tabular} & \begin{tabular}{|l} shear \\ modulus \end{tabular} \\ \hline Black tube & & & force mom & & & & 4.15 & 0.65 & & & 0 & o.d./2 & & & & & \\ \hline & & & & & & & & & & & & & & & & & \\ \hline & & & & & & & & & & & & & & & & & \\ \hline & & & & & & & & & & & & & & & & & \\ \hline & & & & & & & & & & & & & & & & & \\ \hline White tube & & & & & & & & & & & 0 & & & & & & \\ \hline & & & & & & & & & & & & & & & & & \\ \hline & & & & & & & & & & & & & & & & & \\ \hline & & & & & & & & & & & & & & & & & \\ \hline & & & & & & & & & & & & & & & & & \\ \hline & & & & & & & & & & & & & & & & & \\ \hline & & & & & & & & & & & & & & & & & \\ \hline \end{tabular}


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