Shown below is a combined gear and chain drive to lift a load P. Input torque is 100N-m through the shaft EFG. Gear F transmits torque to shaft ABCD through gear C, which drives the chain sprocket at B, transmitting the force as shown. The gears have a 20° pressure angle and you can assume simple supports at the bearings at A, D, E, and G. You can also assume that the loose side of the chain has no tension. Pitch diameters are shown below. The shaft material properties are: • S₁ = 200 MPa ⚫ E = 207 GPa • G = 80 GPa Determine the minimum shaft diameter for ABCD based on strength using the maximum shear stress and Von Mises distortion energy criteria, with a safety factor n=2. Hints: Textbook sections 3-10 through 3-12 B d= ? E -f=250 mm g=125 mm e = 75 mm 2 c = 125 mm T= 100 N-m a = 150 mm View a-a b=250 mm

Shown below is a combined gear and chain drive to lift a load P. Input torque is 100N-m through the shaft EFG. Gear F transmits torque to shaft ABCD through gear C, which drives the chain sprocket at B, transmitting the force as shown. The gears have a 20° pressure angle and you can assume simple supports at the bearings at A, D, E, and G. You can also assume that the loose side of the chain has no tension. Pitch diameters are shown below. The shaft material properties are: • S₁ = 200 MPa ⚫ E = 207 GPa • G = 80 GPa Determine the minimum shaft diameter for ABCD based on strength using the maximum shear stress and Von Mises distortion energy criteria, with a safety factor n=2. Hints: Textbook sections 3-10 through 3-12 B d= ? E -f=250 mm g=125 mm e = 75 mm 2 c = 125 mm T= 100 N-m a = 150 mm View a-a b=250 mm

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.7.3P: A motor driving a solid circular steel shaft with diameter d = 1.5 in, transmits 50 hp to a gear at...

See similar textbooks

Similar questions

Repeat Problem 3.3-1, but now use a circular tube with outer diameter d0= 2.5 in. and inner diameter di= 1.5 in.
A motor driving a solid circular steel shaft with diameter d = 1.5 in, transmits 50 hp to a gear at B, The allowable shear stress in the steel is 6000 psi. Calculate the required speed of rotation (number of revolutions per minute) so that the shear stress in the shaft does not exceed the allowable limit.
ANSWER ASAP The worm gear rotating at 1250 rpm drives a worm wheel and whose velocity ratio is 12 to 1. A driving motor with 12 hp is used to supply the worm with worm pitch gear diameter of 3.5 in. Find the tangential force on the gear.
A 10" in diameter helical gear carries a torque of 3,000 in-lb. It has 20 deg. Involute stub teeth and a helix angle of 30 deg. Determine: (a) the tangential component of the load on the teeth in the plane of rotation; (b) the separating component of the load on the teeth; (c) the angle of obliquity in th plane normal to the pitch element of the tooth, and (d) the resultant load on the tooth
This engine is used in a hoist. Motor 2.5 kWwith the help of gears with a power of and n = 500 rpm.transmits. If the shear strength of the AB shaft is τa = 160 MPa;a) Find the diameter of AB shaft with 1.4 times safety.b) Find the maximum force F the engine can carry.
Two cqual involute gear wheels of 40 teeth each, 3 mm module and 20° pressures angleare in mesh. Determine the minimum addendum if 2 pairs of teeth are always in mesh.The gear wheels rotate at 750 r.p.m. and transmit 4.6 kW. Find the normal force at eachpair assuming equal direction of load between the pairs. Neglect friction.
The input shaft to a gearbox, shown in Figure 3, operates at a speed of n1 and transmits a power of 30 hp. The output power is 27 hp at a speed of n2. (a) What is the torque of each shaft (in kip · in.) and (b) the efficiency of the gearbox? Use n1 = 1800 rpm, n2 = 425 rpm. (c) Also compute for the torsional stress on the 1.5” diameter solid shaft C, and on the hollow shaft at E whose D =2” and d = 1.5”.
The shaft, is driven by pulley B from an electric motor. Another belt drivefrom pulley A is running a compressor. The belt tensions for pulley A are 1500 N and 600 N. The ratioof belt tensions for pulley B is 3.5. The diameter of pulley A is 150 mm and the diameter of pulley B is 480 mm. The allowable tensilestress for the shaft material is 170 MPa and the allowable shear stress is 85 MPa. Taking torsion andbending factors as 1.25 and 1.75 respectively, find the shaft diameter.Also find out the dimensions for a hollow shaft with outside diameter limited to 30 mm. Compare theweights of the two shafts. [Ans. 30 mm ; 24 mm ; 1.82 Given Length CD=350mm Length AB=150mm Length BD=100mm The total length is CD =350
A keyed sprocket delivers a torque of 778.8 N-m thru the shaft of 54 mm OD. The key thickness is 1.578 cm and the width is 1.11 cm. Compute the length of the same key. The permissible stress value of 60 MPa for shear and 90 MPa for tension. (Ans: 4.33 cm)
An input shaft of a gearbox with motor power P = 7 kW and rotation number n = 1300 rpm. The diameter of an input shaft is d = 20 mm and its material is 16MnCr5. A force of F = 2800 N forces the shaft due to the operation of a gear wheel connected with a wedge on the input shaft. The distances of the gear from the bearings are given as L₁ = 40 mm and L2 = 60 mm. In the most dangerous section, you are required to check the strength according to the S = 3 safety factor. If the section is unsafe in terms of strength, what changes would you make in the design to make it safe? (The surface of the spindle is machined as fine chips, reliability poor Kg = 1.).
A 220 mm diameter of 14.5 degrees involute gear is used to transmit 50 kW at 580 rpm Find the total force transmitted on the gear.
The solid steel rotating shaft in the figure is supported at B and C, and is driven by a gear, not seen, which is linked to spur gear D which has a pitch diameter of 150 mm. The drive gear force F acts at a pressure angle of 20 degrees. The shaft transmits a torque to point A of Ta-350 N.m. The properties of machined steel shaft are Sy-420 MPa and Sut-560MPa. Use a safety factor of 2.5 and determine the minimum allowable diameter in section B and C. Assume sharp felt radii at the bearing shoulders to estimate the stress concentration factors.Explain.