Carol Of The Bells At Kohls

Solid Mechanics

Task topic Power Transmission Shafts:

Exercises 3.62 & 3.63

When a hollow shaft rotates at 180 rpm , a strobe indicates that the torsion angle is 3 °. Knowing that G = 77 GPa , determine: a) the transmitted power, b) the maximum shear stress in the shaft. The shaft dimensions are shown in the figure below.

The hollow shaft, shown in the figure above ( G = 77 GPa , t Adm = 50 MPa ) rotates at 240 rpm . Determine c) the maximum power that can be transmitted, d) the corresponding torsion angle of the shaft.

Exercise 3.64

A hollow steel shaft (G = 11.2 x 10 ⁶ psi) has 8 feet in length and inner and outer diameters are 2.50 and 2.25 inches , respectively. Knowing that the shaft 200 transmits hp at 1500 rpm , determine: a) the maximum shear stress, b) the torsion angle of the shaft.

Exercise 3.65

Knowing that G = 11.2 x ⁶ 10 psi and adm t = 6000 psi for steel to be used, determine: a) the capacity of a smaller diameter solid shaft to be transmitted 18 hp at 2400 rpm , b) the corresponding angle of twist in a length of 6 feet on the shaft.

Exercises 3.66 & 3.67

Two solid shafts and two gears (shown in the figure below) are used to transmit 12 kW engine A , spinning at 20 Hz to a machine tool D . Knowing that each axis has 25 mm in diameter, find the maximum shear stress: a) on the axis AB , b) on the shaft CD.

The two solid axles and gears shown in the figure above are used to transmit 12 kW motor A , spinning at 20 Hz , a machine tool D . Knowing that the maximum permissible shear stress is 60 MPa for each axis, find the diameter: c) AB axis , d) axis CD.

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