Transfer function between torque and strain

AI Thread Summary
To establish the transfer function between torque on a shaft and the resulting strain, one must consider the material properties of the shaft, specifically its Young's modulus and geometry. The relationship can be derived from the fundamental principles of mechanics, where torque induces shear stress, leading to strain. For a steel cylinder, the strain can be calculated using the formula for torsional deformation, which involves the shaft's dimensions and material properties. Additionally, consulting engineering mechanics textbooks or resources on torsion may provide further insights and equations needed to model this relationship accurately. This understanding is crucial for developing a comprehensive Matlab Simulink model.
CraigH
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I'm trying to develop a Matlab Simulink model which models the relationship between the voltage applied to a motor, and the voltage across a strain gauge connected to a shaft attached to the motor. So far, I have found the transfer function between voltage and motor torque, and the transfer function between strain on the shaft and voltage across the strain gauge. However, I cannot find a source that explains the transfer function between torque on the shaft and the resulting strain on that shaft.

Can somebody please explain how I would go about finding this transfer function?

The shaft is a 150mm long, 40mm diameter steel cylinder.

Thanks!
 
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