Answered: In a single-stage gearbox consisting of…

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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In a single-stage gearbox consisting of helical gear pairs, input speed ng= 900 rpm, input power P1=
16 kW, the number of teeth of the pinion gear z1= 20, the number of teeth of the second gear wheel z2= 61. gear wheel
material is 20MnCr5, for this material: σem=230 N/mm2, pem=1500 N/mm2 and E= 2.1.105 N/mm2
is (Helix angle: β=180; grip angle: α=200; factor of safety: S=1.5; form factor: Kfn=2.7; dynamic load
factor: Kd=1.25; width factor: ψm=12; clutch ratio: ε = 1.6). (20p)
a) Calculate the modulus of the gear pair.
Module according to root fracture:(p1)
Module according to tooth surface crushing:(p2)
(Standard module values: 1 – 1.5 – 2 – 2.5 – 3 – 3.5 – 4 – 5 – 6 – 7 – 8 mm)
b) Dimension the gears (Diameters of section circle, head circle and base circle, distance between axes).

Pay attention the units

2.S.M .K K, cos B
fn°
(p2)
2.S.M , E.K ,.cos* B(i +1)

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