The inner and outer radii of a hollow steel shaft are 50 mm and 100 mm, respectively. The hub of a steel gear wheel that is shrunk onto the hollow shaft has an outer radius of 150 mm. The maximum allowable tangential stress developed by shrinking the gear wheel onto the hollow shaft is 200 MPa. The length of hub parallel to the shaft axis is 200 mm, and the coefficient of static friction between the hub and the shaft is 0.40. Determine the maximum torque that may be transmitted by the gear wheel without slipping on the shaft.

The inner and outer radii of a hollow steel shaft are 50 mm and 100 mm, respectively. The hub of a steel gear wheel that is shrunk onto the hollow shaft has an outer radius of 150 mm. The maximum allowable tangential stress developed by shrinking the gear wheel onto the hollow shaft is 200 MPa. The length of hub parallel to the shaft axis is 200 mm, and the coefficient of static friction between the hub and the shaft is 0.40. Determine the maximum torque that may be transmitted by the gear wheel without slipping on the shaft.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.57P: The square-threaded screw with a pitch of 10 mm and a mean radius of 18 mm drives a gear that has a...

See similar textbooks

Similar questions

The square-threaded screw with a pitch of 10 mm and a mean radius of 18 mm drives a gear that has a mean radius of 75 mm. The static and kinetic coefficients of friction between the gear and the screw are 0.12 and 0.06, respectively. The input torque applied to the screw is C0=10Nm. Assuming constant speed operation, determine the output torque C1 acting on the gear.
The axial pressure on a single disc clutch (both sides of the disc is effective) is limited to 0.12 Mpa. This is designed for a vehicle with 13kW power at a speed of 700 rpm. Assume uniform wear conditions and a friction coefficient of 0.25. If the outer dimater of the disc is 1.25 times the internal diameter, determine the dimensions of the disc lining and the axial force exerted by the springs.
3 A flat collar bearing has an external diameter which is 1.6 times the intenal diameter. The coefficient of friction is 0.05 and the maximum bearing pressure is 270 kN/cm^2. The axial load is 20 kN and power absorbed due to friction is 30 kW when the shaft rotates at 750 rpm. If the bearing becomes worm so that the bearing presuure is inversly proportional to the radius, the total axial force and the speed of rotation remaining the same as before, calculate (a) the bearing radii (b) the wear constant (c) the number of collars required
A clamp coupling is to transmit a power of 13 kW to a shaft rotating at a speed of 511 rpm. Calculate the diameter of the shaft if the allowable shear stress on the shaft is 45 MPa. The number of bolts connecting the two halves is six. The permissible tensile stress for the bolts is 76 MPa. The coefficient of friction between the coupling and the shaft surface may be taken as 0.3. Also, find the diameter of the bolt. Torque in Nm Diameter of shaft in mm Diameter of bolt in mm
A cone clutch is mounted on a shaft which transmits power at 200 rpm. The small diameter of the cone is 200 mm, the cone face is 50 mm and the cone face makes an angle of 12 degrees with the horizontal. Determine the axial force necessary to engage the clutch to transmit 7 kW if the coefficient of friction of the contact surfaces is 0.15. What is the maximum pressure on the contact surfaces assuming uniform wear?
A belt drive is required to transmit 10 kW from a motor running at "600 rpm. The belt is 12 mm thick -and -has a mass density of 0.001 g/mm3. Safe stress in the belt is not to exceed 2.5 N/mm2. Diameter of the driving pulley is 250 mm, whereas the speed of the driven pulley is 220 rpm. The two shafts are 1.25 m apart. The coefficient of friction is 0.25. Determine the width of the belt.
A pulley, 610 mm. in diameter, transmits 40 kW at 500 rpm. The arc of contact between the belt and the pulley is 144 degrees, the coefficient of friction between the belt and the pulley is 0.35 and the safe working stress of the belt is 2.1 MPa. Find the width of the belt if its thickness is 6 mm.
Steel frame with thickness of 10mm, width 80mm and inner diameter of 1500.0mm being heated and shrinkable on steel wheel diameter 1500.5mm. If the coefficient of static friction is 0.30, what is the torque required to roll the tire with respect to the wheel? Neglecting the deformation of the wheel. Use E = 200 GPa.
A grinding wheel weighing 2 Ib is supported by a journal bearing at each end of the axle as shown in Fig. The coefficient of friction between the axle and bear- ing is u = 0.10, and the diameter of the axle is 0.75 in. De- termine the torque required to rotate the wheel at a con- stant speed.
Q1 The screw of the shaft straightener exerts a load of 3000Kg. The screw-type is square threaded of outside diameter (7.5cm) and (6mm) pitch. Take the height of the nut (150mm). Determine 1) Force required at the rim of 30cm diameter hand wheel, assuming a coefficient of friction is 0.12. 2) The maximum compressive stress in the screw, bearing pressure on the thread, and shearing stress in the thread. 3) Efficiency of the straightener. Nut T 150 ↓ Hand wheel Screw 100 150- 400 All dimensions in mm
8. Design a clamp coupling for transmitting 25 kW at 300 rpm. Allowable shear stresses in shaft and key are 50 MPa and 45 MPa, respectively. The number of bolts joining the two halves of muff is 4. The permissible tensile stress in the bolt is 70 MPa and the permissible crushing stress in the key is 90 MPa. The coeffi cient of friction between the muff of the CI and the shaft of steel is 0.20.
The effective pressure on a 400 mm diameter piston is 1.1 MN/m² when the crank is 32° beyond top dead centre. The stroke of the engine is 900 mm, the connecting rod is 1500 mm in length and the coefficient of friction for the lubricated crosshead guide is 0.025. Calculate EACH of the following: (a) the magnitude of the instantaneous torque; (b) the magnitude of the instantaneous force to overcome guide friction.