Maximum instantaneous Torque, how?

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TheRB4891
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I have torque max and min on an output shaft without any load but need to calculate the maximum under load in order to choose correct shaft diameter, how do i go about this?

Alternatively, should i just include a higher factor of safety?

Thanks
 
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Your torque under load should be computed by finding the force given with a load. At the end of a shaft it could possibly be treated as a simply supported beam using the area of a circle. Then your displacement will be calculated using an angular velocity and angular acceleration. Once those two are found, displacement and force, multiply them together