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232_Mechanics Homework Mechanics of Materials Solution

# 232_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: PROBLEM 3 89 3.89 Knowing that the stepped shalt shown must transmit 60 hp at a speed of 2100 ' rpm, determine the minimmn radius r of the ﬁllet if an allowable stress of 6000 psi is not to be exceeded. 2.5 in. SOLUTION P = 4—20” = 35' Hz p 1- go 5,, -.: (eczema) '2 S‘MWO‘ 15‘?“ /S _ P 31am“ T 211? E 1.11 (as) For smaller shat-H ante: 0.4159. ’Z: K%§=21%(E17— 713?: 17(0.625')"Caooo) :.' Lgoofxzos Ib-in K z 21‘ ’ (2)0.8w7rt " "‘9 '3 = 5% '-"- 2 FNM Fla 3.32 5- = 0.18 r = (o.oso)(l.as'm - 0.22.5 in. - 330 The stepped shaft shown must transmit 60 hp. Knowing that the allowable shearing stress in the shaﬁ is 6000 psi and that the radius of the ﬁllet is r = 0. 25 in., 2.5 in. determine the smallest permissible speed of the shell. SOLUTION ﬂ: 0-25- -I .2— E: d {.25 - 0.200, d - I-Zs’ =- 2.00 FPDM Ffj. 3.32 K '—' L26 For Smajier SLAM C’- ie’ 3 0-625 ‘n‘CO-éZS)3(GOoo) _ L316 x103 [6. {In (2)0276: P = 60 I“? :- (Go\(3600) ‘1 3?.6x(03 jb‘ln/S ’P 3% >403 . -: —-— :- —— = ‘L ‘F 2177— 211(1'.32le03) 3 I 5 H2 = 1.076 PPM. P = 271-FT —'~ ...
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