Finding M & T Using Mohr's Strain Circle

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SUMMARY

This discussion focuses on calculating the bending moment (M) and torque (T) using Mohr's strain circle based on strain measurements from a 45-degree rosette strain gauge on a 100mm diameter shaft. The measured strains are a = -0.00015, b = 0.0003, and c = 0.00005, with material properties given as E = 210 GPa and Poisson's ratio u = 0.29. The user successfully determined the principal strains of 0.00032 and -0.00042 but seeks guidance on the formulas required to derive M and T from these values.

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  • Understanding of Mohr's Circle for strain analysis
  • Knowledge of strain gauge theory and applications
  • Familiarity with material properties such as Young's modulus and Poisson's ratio
  • Basic mechanics of materials, specifically bending and torsion
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  • Research the formulas for calculating bending moment (M) and torque (T) from principal stresses
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Engineering students, mechanical engineers, and professionals involved in structural analysis and design who are looking to deepen their understanding of strain measurement and analysis techniques.

arghstar
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Hi, desperately need help with this assignment question as its in for 2moro!

"At a point on the surface of a shaft with diameter of 100mm, a 45deg rosette strain gauge is positioned with the middle gauge along the axis of the shaft. The gauges measure strains of a= -0.00015, b = 0.0003, c = 0.00005. Use Mohr's strain circle to determine the value of M(bending moment) and T(torque). E = 210GPa and u = 0.29."

I've drawn a mohr's circle to find principle strains of 0.00032 and -0.00042. From this i can get the principle stresses, but I do not know what formula to use to find the bending moment and torque?

Any help would be much appreciated thankyou!
 
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