HW15 - 3.67 Using an allowable stress of 55 MPa design a...

Info icon This preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
Image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

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 IL-iu 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 N-m -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 N-m 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: IiCcJ-q"? E0339“): 6032.8 in" It: IS"!- ~- T: gg— .: : 6-4058xl061b."” -F 60 (a) P z szT = 21102.75 )(e.4082xzo‘) = “0.7%chc Ié‘l‘n /5 “DJMKD‘ Ib-ia/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°)(6031-8) _ 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 750-N°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 = 90-26, .— 76./4L/ m, ANN. looonsleci center 9.3.2 (1: a)? L {$195 fi-imwfl‘ = 2$I0.6mm1' ; Zé’ltléxio‘e m1 t = 0.008 m l 750 7 ‘ 75 = ‘ ' = 13.3w"; P 22 0, (Z)(o-003)(25/o.é v10“) » ‘ 7 Q =13.€7 l’lPa. ' 4 3.139 and 3.140 A 50-ldp-in 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 50-kip-in. 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%) = lat-3 1+; = mm W J" k—zé, —al Al. Poi-Cl 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; “ ...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern