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945_Mechanics Homework Mechanics of Materials Solution

# 945_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: 8.29 The solid shaft AB rotates at 450 rpm and transmits 20 kW ﬁ‘om the motor M to machine tools connected to gears F and G. Knowing that rm = 55 MPa and assmning that 8 kW is taken oﬂ‘ at gear F and 12 kW is taken off at gear G, determine the smallest permissible diameter of shaﬁ AB. PROBLEM 8.30 8.30 Solve Prob. 8.29, assuming that the entiie 20 kW is taken off at gear G. SOLUTION ~F: %—SO£=7.5HZ Torque apppiea‘ aJ' D _ _E_ - £12191 = . To - 21H? - (21:)(75) LITiJ-ll N m ﬂmque on flea.» E Ts - Ta = 424.4! N-m _ Forces on gears. DIM E Z c 225 _ '1.» _ 414."! _ F» - [in -——-———-wow, - 4244 N 150 = 1; _ ‘JQLL‘H 1 D F: n, _ 60km, . 7073.5N F ' Force: in horn-Ronda.) Pﬁqwe 1’ A c. D E 8 F 3 '>‘ E 2m 9244 2:21 Forces in Vcr+icnj Pfqne. 715-7; N‘M ' ' . - "i —-3Is.3 ”-m I l 54.53.: L 7075.5 843.5?- Bemahnﬂ momenfl‘s 530.51 MD = 530.5I"+ 795275“ '-" 9156.4 N-M M. = 848.82‘3331 r :-' 1046.3 N-‘M 16.02%!0" m’ 45.9xlo'3m = 95.9 mm 4 ...
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