Hollow Shaft

Solution to Problem 321 Torsion

Problem 321
A torque T is applied, as shown in Fig. P-321, to a solid shaft with built-in ends. Prove that the resisting torques at the walls are T1 = Tb/L and T2 = Ta/L. How would these values be changed if the shaft were hollow?

Figure P-321


313 Maximum Torque That Can be Applied to a Hollow Steel Shaft

Problem 313
Determine the maximum torque that can be applied to a hollow circular steel shaft of 100-mm outside diameter and an 80-mm inside diameter without exceeding a shearing stress of 60 MPa or a twist of 0.5 deg/m. Use G = 83 GPa.

310 Strength Comparison of Hollow and Solid Steel Shafts of Equal Outside Diameters

Problem 310
Show that the hollow circular shaft whose inner diameter is half the outer diameter has a torsional strength equal to 15/16 of that of a solid shaft of the same outside diameter.

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