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Unformatted text preview: 3.67 Using an allowable stress of 55 MPa, design a solid steel shaft to transmit 10 PROBLEM 3'67 kW at a frequency of 15 Hz. SOLUTION
Tw=5§*10‘ Pa P: IOXIOzW) {3:15 Hz _ P _ onlo3 _ .
T—m‘m it (2) (a 09.10) 3 = Luann)" m — = 17;: "  ‘ITSS'XID‘J 10mm;3 m d = 2:. = 21.4 mm PROBLEM 3.68 3.68 Using an allowable stress of 5 ksi, design a solid steel shaﬁ to transmit % hp at a speed of 1725 rpm.
SOLUTION ﬂeece) = 3300 154“ /s 3300 _ . 2, 3160 xlo's in; 3.69 Design a solid steel shaft to transmit 100 hp at a speed of 1200 rpm, if the
maximum shearing stress is not to exceed 7500 psi. SOLUTION
6560 x10’ 1%.», /s _ 5593123.. .— 5.2.52! x103 ILiu
1711203 oi=2c = L528 in. 3.70 Design a solid steel shaft to transmit 0.375 kW at a frequency of 29 Hz, if the
PROBLEM 3'70 shearing stress in the shaft is not to exceed 35 MPa SOLUTION
= 2‘? Hz
2.0530 Nm 2.E_42_1<_2_(2_s’§_2_ ‘l 3 3.3qg WM 0’: 2c. 7 6.69 mm PROBLEM 3.71 PROBLEM 3.72 SOLUTION 3.71 A hollow shaﬁ is to transmit 250 kW at a ﬁ'equency of 30 Hz. Knowing that
the shearing stress must not exceed 50 MPa, design a shaﬁ for which the ratio of the inner diameter to the outer diameter is 0.75. SOLUTION
’l’a‘JSOde'Pa. P=250vlosw ¥=30 H1
— s
T = 3%; = ﬁzﬁbfgﬁg = 13233 Nm
J‘ = 5% (C:_C'H) = g (p (§)”)c: = 1.0738 c2“
1:135 =__1—_Q!.___ (:3: T : 326:3
J Long c,“ 1 mm 7: fl.0738)(50¥(o‘) 2C3. = "7M 3. 72 One of two hollow drive shafts of an ocean liner is 125 it long, and its outer and
inner diameters are 16 in. and 8 in., respectively. The shaft is made of a steel for which
1;“: 8500 psiand G= ll.2 X106
of the shaﬁ is 165 rpm, determine
the one shaft to its propeller, (b) the corresponding angle of twist of the shaﬁ. psi. Knowing that the maximum speed of rotation
(a) the maximum power that can be transmitted by J: IiCcJq"? E0339“): 6032.8 in" It: IS"! ~ T: gg— .: : 64058xl061b."”
F 60
(a) P z szT = 21102.75 )(e.4082xzo‘) = “0.7%chc Ié‘l‘n /5
“DJMKD‘ Ibia/s 3
‘Téo‘B Jug/s AP = '5'78 “o “P' ‘
l." ‘25 ‘H‘ '3 I500 in
_ TL a (6.4oszx/o")§lsc>o)
\ ¢’ {337 " (ll.2>¢lo°)(60318) _ O'Hzg NJ
 8. 15° d 3.137 and 3.138 A 750—N'm torque T is applied to a hollow shaﬁ having the cross
section shown. Neglecting the effect of stress concentration, determine the shearing
stress at points a and b. Thick "P5 = 6 mm PROBLEM 3.137 QR SOLUTION
\ Area. bounded by eerie.» finer, Q = Z—Ec’ss)‘ + (60mg): 738] mi“
: 733) >110" m" t = arl‘ a. anal 0. 006 up 750 W = 3~97><I0 Pa = 3.47 MPa.‘ ’l 3.137 and 3.138 A 750N°m torque T is applied to a hollow shaﬁ having the cross section shown. Neglecting the eﬂ‘ect of stress concentration, detemiine the sheath g
stress at points a and b. Thickness = 8 mm. PROBLEM 3.138 902nm l SOLUTION Darla'9 0? Corn er t = e Tlan 30°
7 t e — 2 ‘l‘an 30"
3 : ———p\+an 30, ‘‘ 6328 m». b = 9026, .— 76./4L/ m,
ANN. looonsleci center 9.3.2 (1: a)? L {$195 ﬁimwﬂ‘
= 2$I0.6mm1' ; Zé’ltléxio‘e m1 t = 0.008 m l 750 7 ‘
75 = ‘ ' = 13.3w"; P
22 0, (Z)(o003)(25/o.é v10“) » ‘ 7 Q =13.€7 l’lPa. ' 4 3.139 and 3.140 A 50ldpin torque T is applied to ahOHOWSbaﬁbaI/IbgUICL‘IOSf section shown. Neglecting the effect of stress concentration, determine the shearing
stress at points a and b. PROBLEM 3. I39 a 0.2 in. SOLUTION I Am. L....:.J 1., I Cenle‘l‘ﬂs‘ne. \ 9‘ 0.2 in. L a = %(I.q)‘+(3.3§)(s.s) T—
5.35 b t 18.‘IO ‘m1 L 1:0.2131 N_ l _ 50 _ 
L ' ZtCL ‘ (2X0.2)(I8.‘f0‘\  6"” ks' ‘
A‘l [$013+ ‘9 t = 0.3 in, 2/ T 50  ksi ‘ : 27:0. :(ZYOJSXISJIO) 3.139 and 3.140 A 50kipin. torque T is applied to a hollow shaft having the cross section shown. Neglecting the eﬁ‘ect of stress concentration, determine the shearing
stress at points a and b. PROBLEM 3.140 3.
Km. SOLUTION Area. houndeei' By ceq‘l'erfu'ne T (1,4314%) = lat3 1+; = mm W J"
k—zé, —al Al. PoiCl a 1:: {Film ’ 0.25. 1’», "’ ‘ ———————§° — 78 k‘
L ‘ 2m. ’(2\(o.25)02.7m) ‘ ' 6 5' “ A+ Poinl L t = § i... r 0.375;. . L
(QXOmnmfn q ) = 5. k5; “ ...
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This note was uploaded on 12/09/2009 for the course CE 3400 taught by Professor Moorthy during the Fall '09 term at LSU.
 Fall '09
 MOORTHY

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