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- Tapered shaft equations for max shear stress and deflection

So i need a little bit of help with a problem.

I have a tapered shaft connected to a gearbox and i need to caluclate the deflection of the shaft and the max shear stress of the shaft.

the total length of the shaft is 500mm the diameter is 35mm and tapers to 28mm with the taper length of 90mm (so a standard 35mm taper). the material I am using is 304 stainless steel. as for the torque the torque on the shaft is 248 Nm and its spinning at 200rpm. for further context its a propeller shaft.

as for the deflection equation I am thinking of using the

d(theta) =(T/(J(X)*G)) dx

J is the polar moment of inertia and G shear modulus T is torque.

the above equation will give me the deflection in radians; is there an equation that will give me this deflection in mm?

what equation will i need to calculate the max shear stress the shaft can handle before failure?

any help would be great, and thanks in advance

I have a tapered shaft connected to a gearbox and i need to caluclate the deflection of the shaft and the max shear stress of the shaft.

the total length of the shaft is 500mm the diameter is 35mm and tapers to 28mm with the taper length of 90mm (so a standard 35mm taper). the material I am using is 304 stainless steel. as for the torque the torque on the shaft is 248 Nm and its spinning at 200rpm. for further context its a propeller shaft.

as for the deflection equation I am thinking of using the

d(theta) =(T/(J(X)*G)) dx

J is the polar moment of inertia and G shear modulus T is torque.

the above equation will give me the deflection in radians; is there an equation that will give me this deflection in mm?

what equation will i need to calculate the max shear stress the shaft can handle before failure?

any help would be great, and thanks in advance