Question

An electric motor is mounted by means of gears on a mid span of a shaft rested between two bearings as shown in the figure. It is found that the motor suffers from vibration due to unbalance of 0.1 kg.m. The clearance between the armature and the stator is 1 mm. Design the diameter of the shaft such that when the motor vibrates the armature wont touch the stator at any instant of time. Given that: Motor mass: 5 kg. The motor operating speed is 1000-3000 rpm. Esteel = 200 GP. im tim

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Answer 1

An ca Giveni electric motor is mounted mid spon of as shown by means of gears shaft rested between two bearings in the figure. It is found that the boter suffers from vibrania due to unbalance of 0.1kgom operating speed, H 1000-3000 rpm Esteel = 200 vipa Assume yield stress of the steel material, 7= 200 mt. maximum unbalance force Iman - now? man I'm 6.1X21723000 60 9870N Iman Now maximum bending moment Mma - fman X 1000 9870 S X1000 2 mmax. = 4935x10² Nam Now bending moment, of = 32M Tid 3 3 of = 4935x10²x32 Td3 502655 mpa transverse shear stress, t = 4935 6283.43 ме. n xd² R02 d? 4 now for seefe design | MSST) Tinduced a Tall L J**et) 0.5xrg 20.5X200 50265.5 2d3 + 16283.432 d2 dim Sheeft diameter