Lab5_Torsion - Name Bassam Alshammari Naif Alotaibi...

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Name: Bassam Alshammari Naif Alotaibi Mohammed Altuwayhir CVEN207 6/23/16 Lab 5 Torsion: Determination of Shear Modulus The objective of this lab is to determine the shear modulus (G) for different materials due to torsional loading. In order to determine values for G, first you must measure the diameter of the rod in order to calculate I p and length of the rod between (L) the grips after being loaded into the torsion apparatus. Then the angle of twist (φ)is measured as a function of applied force (F), collecting at least 4 data points. After converting force to torque, generate a plot of angle of torque (T) vs. angle of twist (φ) and use this to determine shear modulus and torsional stiffness/flexibility of the rod. Finally, compare your results to literature values and discuss any uncertainty or systematic error. Mathematically the shear modulus is equal to the quotient of the shear stress divided by the shear strain. The shear stress , in turn, is equal to the shearing force F divided by the area A parallel to and in which it is applied, or F / A . The shear strain or relative deformation is a measure of the change in geometry and in this case is expressed by the trigonometric function, tangent (tan) of the angle θ
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