b) Fig. 6 shows the simplest form of an epicyclic gear train. The properties of both pinionand gear are listed in Table 1. The power transmitted is 11 kW at pinion speed of 1200rev/min. If the module is 4 mm and has a face width of 50 mm, find the contact stress.Assume a normal pressure angle of 20° and full depth teeth.AFig. 6B-Arm CParameterMaterialNumber ofPinion (A)Gear (B)steelCast iron2260teethTable 1

Step 1: Step 2: Step 3: Step 4:

Answered: b) Fig. 6 shows the simplest form of an…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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1) A pair of cast iron bevel gears connect two shafts at right angles. The pitch diameters of the pinion and gear are 80 mm and 100 mm respectively. The tooth profiles of the gears are of 14 1/2° composite form. The allowable static stress for both the gears is 55 MPa. If the pinion transmits 2.75 kW at 1100 r.p.m., find the module and number of teeth on each gear from the standpoint of strength and check the design from the standpoint of wear. Take surface endurance limit as 630 MPa and modulus of elasticity for cast iron as 84 kN/mm². A0a& ENG 1222/20 nere to search
In a gear set, a 36-tooth spur pinion drives a 60-tooth spur gear. The teeth of these gear are cast iron profile. The diametral pitch is 6-teeth/in, the face width si 0.5 inches, and the pressure angle is 20 degrees. Assume that the pinion transmits 10 hp at a speed of 2000 rpm. Find the tangential load in lbf Find the contact stress in kpsi, assuming CP=1960 psi.
A short stub shaft, made of SAE 1035, as rolled, receivers 30 hp at 300 rpm via a 12-in. spur gear, the power being delivered to another shaft through a flexible coupling. The gear is keyed (profile keyway) midway between the bearings. The pressure angle of the gear teeth   20o, N = 1.5 based on the octahedral shear stress theory with varying stresses. (a) Neglecting the radial component R of the tooth load W , determine the shaft diameter. (b) Considering both the tangential and the radial components, compute the shaft diameters. (c) Is the difference in the results of the parts (a) and (b) enough to change your choice of the shaft size?
A helical cast steel gear with 30o helix angle has to transmit 35 kW at 2000 rpm. If the gears has 25 teeth, find the necessary module, pitch diameters and face width for 20o full depth involute teeth. The static stress for cast steel may be taken as 100 MPa. The face width may be taken as 3 times to normal pitch. The tooth form factor is given by the expression y'= 0.154-0.912/TE, where TE represents the equivalent number of teeth. the velocity factor is given by Cv=6/(6+v), where v is the peripheral speed of the gear in m/s.
1.Please design a pair of spur gears in the milling machine. It is known that power input is 7.5kW, Ni 1450r /min, and the %3D transmission ratio is required to be u = 2.08. F1. If there is slight impact, the supplementary conditions for trial design of this pair of gears: primary selection k = 1.8, number of smaller gear teeth Z1 = 26. The allowable stress and factors for material %3D is: [0]= 600 MPa, [o„]z= 599 MPa, [0,]ı= 220 MPa, [0,]= 213 MPa. E=1.693, Z, =1898/mpa Z„ = 2.5 K =1.25 Ky =1.1 K K =1.2 На K =1.35 Y =2.65, Y = 2.28 Y =1.58 Y =1.76 %3D Fa2 Fal sa1
Gear 2 (pinion) runs at 1800 rpm ccw and transmits 3.5 kW to frictionless, idler gear 3. The pressure angle is 20° with a module = 2 mm. Determine the following: a. Draw the free body diagram for the gear set. b. Pitch diameters of each gear. 50T of m b. 3 30T - 20T C. Transmitted load on gear 2. d. Torque on gear 2 shaft a. e. Tangential and radial force from gear 2 shaft. f. Tangential and radial forces on gear 4. g. Torque on gear 4 shaft c.
1.A pair of helical gears are designed to transmit 15 kW. The teeth are 20° stub in diametral plane and have a helix angle of 45°. The pinion runs at 10 000 r.p.m. and has 80 mm pitch diameter. The gear has 320 mm pitch diameter. If the gears are made of cast steel having allowable static strength of 100 MPa; determine a suitable module and face width from static strength considerations and check the gears for wear, given Ous = 618 MPa.
For a pair of standard gears, the module is m=2.5mm，pressure angle is α=20 0. ha*=1. c*=0.25. The teeth number on gear 1 is z1=22. The standard center distance is a=68.75mm. If the actual center distance is a’=69.75mm, find the working pressure angle α’=( )°
5.A pair of gears has these parameters: teeth of two gears are Z1=26, Z2=52, modulus m=1.25mm. Please calculate (1)the radius of reference circle of two gears, r1 and r2 (2) The pitch of this pair of gears, p (3) The standard center distance, a (4) Now two gears are mounted with a'=49mm, calculate the radius of two pitch circle for two gears, r1' and r2' . (5)The ratio of angular velocity of two gears, i.
= Q.3: Calculate the power that can be transmitted safely by a pair of spur gears with the data given below and calculate also, the bending stresses induced in the two wheels when the pair transmits this power. Number of teeth in the pinion 20, Number of teeth in the gear = 80, Module = 4 mm, and Width of teeth = 60 mm, Tooth profile involute, Allowable bending strength of the material;( 200 MPa, for = 400 r.p.m and pinion) and (160 MPa, for gear), Speed of the pinion Service factor = 0.8. = 20° Q.4: Design a wire rope for an elevator (Miscellaneous hoists) in a building of (60 m) height, for a total load (20 kN). The speed of the elevator is (240 m/min) and the full speed is reached at (10 sec). Taken the grade wire is (110), the safety factor is 2.5 and Er =84 x 103 N/mm².
A helical cast steel gear with 30° helix angle has to transmit 35 kW at 2000 r.p.m. If the gear has 25 teeth, find the necessary module, pitch diameters and face width for 20° full depth involute teeth. The static stress for cast steel may be taken as 100 MPa. The face width may be taken as 3 times the normal pitch. The tooth form factor is given by the expression y'=0.154 – 0.912/T, where T represents the equivalent num- ber of teeth. The velocity factor is given by C, = 6 + v where v is the peripheral speed of the gear in m/s.
A helical cast steel gear with 30° helix angle has to transmit 35 kW at 2000 r.p.m. If the gear has 25 teeth, find the necessary module, pitch diameters and face width for 20° full depth involute teeth. The static stress for cast steel may be taken as 100 MPa. The face width may be taken as 3 times the normal pitch. The tooth form factor is given by the expression y'=0.154– 0.912/T; , where Tg represents the equivalent num- ber of teeth. The velocity factor is given by C, where 6 + v v is the peripheral speed of the gear in m/s.

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