SIGNN / OFN / MACHINEN / ELEMENT
S
(FirstN/RevisedN/Edition)
V.N/B.N/BhandariN/
Formerly
ProfessorN/&N/HeadN/ofN/MechanicalN/EngineeringN/Vi
shwakarmaN/InstituteN/ ofN/Technology,N/Pune.
McGraw-
HillN/EducationN/(India)N/LimitedN/NewN/D
elhi
, 1
CHAPTERN / 1
1.1 TheN/seriesN/factorN/forN/ R10N/seriesN/isN/givenN/by,
N/10N/1.2589
10
FirstN/numberN/ =N/1
SecondN/numberN/=N/1N/(1.2589)N/=N/1.2589N/=N/(1.25)
ThirdN/numberN/=N/(1.2589)(N/1.2589)N/=N / (1.2589N/)N/2N / =N/1.5848N/=N/(1.6)
FourthN/numberN/ =N/(1.2589)2(1.2589)N/=N / (1.2 =N/1.9951N/=N/(2)
589N/)3
FifthN/numberN/=N/(1.2589)3(1.2589)N/ =N / (1.2589N/)N/4N / =N/2.5117N/=N/(2.5)
SixthN/numberN/=N/(1.2589)4(1.2589)N/ =N / (1.2589N/)5N / =N/3.1620N/=N/(3.16)
SeventhN/numberN/=N/(1.2589)5(1.2589)N/=N / (1.2589N/)N/6N / =N/3.9806N/=N/(4)
EighthN/numberN/=N/(1.2589)6(1.2589)N/=N / (1.2589N/)N/7N / =N/5.0112N/=N/(5)
NinthN/numberN/=N/(1.2589)7(1.2589)N/=N / (1.2 =N/6.3086N/=N/(6.3)
589N/)8
TenthN/numberN/=N/(1.2589)8(1.2589)N/=N / (1.2589N/)9N / =N/7.9418N/=N/(8)
EleventhN/numberN/=N/(1.2589)9(1.2589)N/=N / (1.25 =N/9.9980N/=N/(10)
89N/)10
InN/ aboveN/calculations,N/ theN/roundedN/ numbersN/ areN/ shownN/inN/ bracket.
1.2
TheN/seriesN/ factorN/forN/ R20N/seriesN/isN/ givenN/by,
N/10N/1.122
20
SinceN/everyN/thirdN/termN/ofN/R20N/seriesN/isN/selected,N/theN/ratioN/factorN/(N/N/)N/isN/givenN/by,
N / N / (1.122)3N / N/1.4125
FirstN/numberN/=N/200
SecondN/numberN/=N/200N/(1.4125)N/=N/ 282.5N/=N/(280)
, 2
ThirdN/numberN/=N/200(1.4125)(N/1.4125)N/=N/200N/(1.4125)2N / =N/399.03N/=N/(400)
FourthN/numberN/=N/200(1.4125)2(N/1.4125)N/=N/200N/(1.4125)3N / =N/563.63N/=N/(560)
FifthN/numberN/=N/200(1.4125)3(N/1.4125)N/ =N/200N/(1.4125)4N / =N/796.13N/=N/(800)
SixthN/numberN/=N/200(1.4125)4(N/1.4125)N/=N/200N/(1.4125)5N / =N/1124.53N/=N/(1120)
InN / aboveN / calculations,N / theN / roundedN / numbersN / areN / shownN / inN / bracket.N / TheN / comple
teN / seriesN / isN/givenN/by,
200,N / 280(282.5),N / 400(399.03),N / 560(563.63),N / 800(796.13),N / 1120(1124.53),N / …
1.3
LetN / usN / denoteN / theN / ratioN / factorN / asN / (N/N/).N / TheN / derivedN / seriesN / isN / basedN / onN / geometr
icN / progression.N/TheN/powerN/ratingN/ofN/sevenN/modelsN/willN/asN/follows,
(1)N/40N / ()0N/, (2)N / 40N / ()1N/, (3)N / 40N / ()2N/, 4)N/40N / ()3N/,
(5)N/40N/()4N/, (6)N/40N/()5N/, (7)N/40N/()6
TheN/ maximumN/ loadN/ capacityN/ isN/ 630N/kN.N/ Therefore,
1/N/6
N / 630N/
40N / ()6N/=N/ 630 or N / 40N N/1.5832
/
LoadN/capacityN/ofN/firstN/modelN/=N/(40)N/kN
LoadN/capacityN/ofN/secondN/modelN/ =N/40N/(1.5832)N/=N/63.33N/=N/(63)N/kN
LoadN/capacityN/ofN/thirdN/modelN/=N/ 40N/(1.5832)2N/=N/100.26N/ =N/(100)N/kN
LoadN/capacityN/ofN/fourthN/modelN/ =N/40N/(1.5832)3N/=N/158.73N/ =N/(160)N/kN
LoadN/capacityN/ofN/fifthN/modelN/=N/ 40N/(1.5832)4N/=N/ 251.31N/ =N/ (250)N/kN
LoadN/capacityN/ofN/sixthN/modelN/=N/ 40N/(1.5832)5N/=N/397.87N/ =N/(400)N/kN
LoadN/capacityN/ofN/seventhN/modelN/ =N/40N/(1.5832)6N/=N/629.90N/ =N/(630)N/ kN
1.4
LetN / usN / denoteN / theN / ratioN / factorN / asN / (N/N/).N / TheN / derivedN / seriesN / isN / basedN / onN / geometr
icN / progression.N/TheN/speedsN/ofN/differentN/stepsN/willN/asN/follows,
, 3
(1)N/72N / ()0N/, (2)N / 72N / ()1N/, (3)N / 72()2N/, (4)N/72N / ()3N/,
(5)N/72N/()4N/, (6)N/72N/()5N/, (7)N/72N/()6 (8)N / 72N/()7
(9) 72N/() (10) 72N/() (11) 72N/()10
8 9
TheN/ maximumN/ speedN/ isN/720N/ r.p.m.N/ Therefore,
1N//N/10
N / 720N/
72N/ () 10
= 720
N/ N/ or N / 72N N / (10)1/10N/ 10N/10N / N/1.2589
/
SpeedN/ofN/firstN/stepN/=N/72N/r.p.m.
SpeedN/ofN/secondN/stepN/=N/72N/(1.2589)N/=N/90.64N/=N/(91)N/r.p.m.
SpeedN/ofN/thirdN/stepN/=N/72N/(1.2589)2N/=N/114.11N/=N/(114)N/r.p.m.
SpeedN/ofN/fourthN/stepN/=N/72N/(1.2589)3N/=N/143.65N/=N/(144)N/r.p.m.
SpeedN/ofN/fifthN/stepN/=N/72N/(1.2589)4N/=N/180.84N/=N/(181)N/ r.p.m.
SpeedN/ofN/sixthN/stepN/=N/72N/(1.2589)5N/=N/227.66N/=N/(228)N/r.p.m.
SpeedN/ofN/seventhN/stepN/=N/72N/(1.2589)6N/=N/286.60N/=N/(287)N/ r.p.m.
SpeedN/ofN/eighthN/stepN/=N/72N/(1.2589)7N/=N/360.80N/=N/(361)N/r.p.m.
SpeedN/ofN/ninthN/stepN/=N/72N/(1.2589)8N/=N/454.22N/=N/(454)N/r.p.m.
SpeedN/ofN/tenthN/stepN/=N/72N/(1.2589)9N/=N/571.81N/=N/(572)N/r.p.m.
SpeedN/ofN/eleventhN/stepN/=N/72N/(1.2589)10N/=N/719.85N/=N/(720)N/r.p.m.