076 kn m ans 2 n y 2 475 tangential force between

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Unformatted text preview: is fixed, therefore TA =0 TC or (500 – x) – x × 500 – x – 0.227 x = 0 or x = 500/1.227 = 407.5 r.p.m. y – x× ∴ and 34 =0 150 ...[From equation (v )] y = 500 – x = 500 – 407.5 = 92.5 r.p.m. Since the speed of the driven or output shaft Y (i.e. N Y) is equal to the speed of wheel E (i.e. N E), therefore 34 38 TA TD × = 92.5 – 407.5 × × 120 50 TB TE = 92.5 – 87.75 = 4.75 r.p.m. NY = NE = y – x × Assuming 100 per cent efficiency of the gear train, input power PX is equal to output power (PY), i.e. PY = PX = 7.5 kW = 7500 W ∴ Output torque of shaft Y , = PY × 60 7500 × 60 = = 15 076 N-m = 15.076 kN-m Ans. 2π N Y 2π × 4.75 Tangential force between wheels D and E We know that the pitch circle radius of wheel E, m × TE 3.5 × 50 = = 87.5 mm = 0.0875 m 2 2 ∴ Tangential force between wheels D and E, rE = = Torque on wheel E 15.076 = = 172.3 kN Ans. Pitch circle radius of wheel E 0.0875 ...(∴ Torque on wheel E = Torque on shaft Y ) Tangential force between wheels B and C We know that the input torque on shaft X or on wheel A = PX × 60 7500 × 60 = = 143 N-m 2π N X 2π × 500 ∴ Fixing torque on the fixed wheel C = Torque on wheel E – Torque on wheel A = 15 076 – 143 = 14 933 N-m = 14.933 kN-m 474 l Theory of Machines Pitch circle radius of wheel C, m × TC 3.5 × 150 = = 262.5 mm = 0.2625 m 2 2 Tangential force between wheels B and C rC = = Fixing torque on wheel C 14.933 = = 57 kN Ans. 0.2625 rC EXERCISES 1. A compound train consists of six gears. The number of teeth on the gears are as follows : Gear : A B C D E F No. of teeth : 60 40 50 25 30 24 The gears B and C are on one shaft while the gears D and E are on another shaft. The gear A drives gear B , gear C drives gear D and gear E drives gear F. If the gear A transmits 1.5 kW at 100 r.p.m. and the gear train has an efficiency of 80 per cent, find the torque on gear F. [Ans. 30.55 N-m] 2. 3. 4. Two parallel shafts are to be connected by spur gearing. The approximate distance between the shafts...
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This note was uploaded on 02/13/2014 for the course MIE 301 taught by Professor Celghorn during the Fall '08 term at University of Toronto- Toronto.

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