Example 3.2 A 60mm diameter solid shaft has a strain gauge mounted at 65° to the axis of the shaft. In service a torque is applied to the shaft and the strain gauge reads 200 x 10-6. Calculate the value of the torque if the shaft is made from steel with E = 207 GPa and v = 0.3. (BC&A question 11.18) Strain Transformations ● Mechanical Engineering Mechanics of Materials 2 Solution 3.2 Applied torque alone will produce only shear stress/strain in the directions parallel and perpendicular to the torque. The strain gauge is punted at 65° to the axis of the shaft. Strain Transformations Mechanical Engineering Mechanics of Materials 2 Strain gauge E 65⁰ 33 Dr PJ Martin Lecture Notes 34 Dr PJ Martin Lecture Notes

Example 3.2 A 60mm diameter solid shaft has a strain gauge mounted at 65° to the axis of the shaft. In service a torque is applied to the shaft and the strain gauge reads 200 x 10-6. Calculate the value of the torque if the shaft is made from steel with E = 207 GPa and v = 0.3. (BC&A question 11.18) Strain Transformations ● Mechanical Engineering Mechanics of Materials 2 Solution 3.2 Applied torque alone will produce only shear stress/strain in the directions parallel and perpendicular to the torque. The strain gauge is punted at 65° to the axis of the shaft. Strain Transformations Mechanical Engineering Mechanics of Materials 2 Strain gauge E 65⁰ 33 Dr PJ Martin Lecture Notes 34 Dr PJ Martin Lecture Notes

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.7.15P: A brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded...

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A brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded in biaxial stress by normal stresses r and cry. (sec figure). A strain gage is bonded to the plate at an angle 4 = 350 If the stress o is 10,700 psi and the strain means used by the gageise = 390 X 106.whatisthcmax- imum in-plane shear stress (Tr, ),. and shear strain (>‘ ).? What is the maximum shear strain (y ) in the x-: plane? What is the maximum shear strain (y ).. in the y-r plane?
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