# Solid Shaft

## Solution to Problem 322 Torsion

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## 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 T_{1} = Tb/L and T_{2} = Ta/L. How would these values be changed if the shaft were hollow?

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## 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.

## 305 Minimum Diameter of Steel Shaft With Allowable Angle of Twist

**Problem 305**

What is the minimum diameter of a solid steel shaft that will not twist through more than 3° in a 6-m length when subjected to a torque of 12 kN·m? What maximum shearing stress is developed? Use G = 83 GPa.