# Torsional Shearing Stress

## 314 Maximum Shear and Relative Gear Rotation of a Compound Steel Shaft

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## 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.

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## 312 Deformation of Flexible Shaft Made From Steel Wire Encased in Stationary Tube

**Problem 312**

A flexible shaft consists of a 0.20-in-diameter steel wire encased in a stationary tube that fits closely enough to impose a frictional torque of 0.50 lb·in/in. Determine the maximum length of the shaft if the shearing stress is not to exceed 20 ksi. What will be the angular deformation of one end relative to the other end? G = 12 × 10^{6} psi.

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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.

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## 309 Finding the Diameter of a Propeller Shaft Transmitting a Power

**Problem 309**

A steel propeller shaft is to transmit 4.5 MW at 3 Hz without exceeding a shearing stress of 50 MPa or twisting through more than 1° in a length of 26 diameters. Compute the proper diameter if G = 83 GPa.

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## 308 Maximum Horsepower That Can be Transmitted by Steel Shaft

**Problem 308**

A 2-in-diameter steel shaft rotates at 240 rpm. If the shearing stress is limited to 12 ksi, determine the maximum horsepower that can be transmitted.

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## 306 Maximum Shearing Stress of Marine Propeller Shaft

**Problem 306**

A steel marine propeller shaft 14 in. in diameter and 18 ft long is used to transmit 5000 hp at 189 rpm. If G = 12 × 10^{6} psi, determine the maximum shearing stress.

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## 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.

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## 304 Maximum Shearing Stress and Angle of Twist of a Steel Shaft

**Problem 304**

A steel shaft 3 ft long that has a diameter of 4 in is subjected to a torque of 15 kip·ft. Determine the maximum shearing stress and the angle of twist. Use G = 12 × 10^{6} psi.

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