Design Of Machine Elements Bhandari Solution Manual

Solutionsf7Manualf7tof7DES
IGNf 7 OFf 7 MACHINEf 7 ELEMENTS
(Firstf7Revisedf7Edition)




V.f7B.f7Bhandarif7F
ormerly
Professorf7&f7Headf7off7Mechanicalf7Engineeringf7Vish
wakarmaf7Institutef7off7Technology,f7Pune.




McGraw-
Hillf7Educationf7(India)f7Limitedf7Newf7Del
hi

, 1
CHAPTERf 7 1

1.1 Thef7seriesf7factorf7forf7 R10f7 seriesf7 isf7 givenf7 by,

f710f71.2589
10




Firstf7 numberf7 =f7 1

Secondf7numberf7 =f71f7(1.2589)f7=f71.2589f7=f7(1.25)

Thirdf7numberf7=f7(1.2589)(f71.2589)f7=f 7 (1.2589f7)f72f 7 =f71.5848f7 =f7(1.6)

Fourthf7 numberf7 =f7 (1.2589)2(1.2589)f7 =f 7 (1.25 =f71.9951f7 =f7(2)
89f7)3

Fifthf7numberf7=f7(1.2589)3(1.2589)f7 =f 7 (1.2589f7)f74f 7 =f7 2.5117f7=f7 (2.5)

Sixthf7numberf7 =f7 (1.2589)4(1.2589)f7 =f 7 (1.2589f7)5f 7 =f7 3.1620f7=f7 (3.16)

Seventhf7numberf7 =f7 (1.2589)5(1.2589)f7 =f 7 (1.2589f7)f76f 7 =f73.9806f7 =f7 (4)

Eighthf7numberf7=f7(1.2589)6(1.2589)f7=f 7 (1.2589f7)f77f 7 =f75.0112f7=f7(5)

Ninthf7 numberf7 =f7 (1.2589)7(1.2589)f7 =f 7 (1.25 =f76.3086f7 =f7(6.3)
89f7)8

Tenthf7 numberf7 =f7 (1.2589)8(1.2589)f7 =f 7 (1.2589f7)9f 7 =f7 7.9418f7 =f7 (8)

Eleventhf7numberf7 =f7 (1.2589)9(1.2589)f7 =f 7 (1.258 =f79.9980f7 =f7(10)
9f7)10

Inf7 abovef7 calculations,f7 thef7 roundedf7 numbersf7 aref7 shownf7 inf7 bracket.

1.2

Thef7 seriesf7 factorf7 forf7 R20f7 seriesf7 isf7 givenf7 by,

f710f71.122
20




Sincef7everyf7thirdf7 termf7off7 R20f7seriesf7 isf7selected,f7 thef7 ratiof7 factorf7 (f7f7)f7 isf7 givenf7 by,

f7 f7 (1.122)3f 7 f71.4125

Firstf7 numberf7 =f7200
Secondf7numberf7 =f7 200f7(1.4125)f7=f7 282.5f7 =f7 (280)

, 2
Thirdf7 numberf7 =f7200(1.4125)(f7 1.4125)f7 =f7 200f7(1.4125)2f 7 =f7 399.03f7 =f7 (400)
Fourthf7 numberf7 =f7 200(1.4125)2(f7 1.4125)f7 =f7 200f7(1.4125)3f 7 =f7 563.63f7 =f7 (560)
Fifthf7 numberf7 =f7 200(1.4125)3(f7 1.4125)f7 =f7 200f7(1.4125)4f 7 =f7 796.13f7 =f7 (800)

Sixthf7 numberf7 =f7 200(1.4125)4(f7 1.4125)f7 =f7 200f7(1.4125)5f 7 =f7 1124.53f7 =f7 (1120)
Inf 7 abovef 7 calculations,f 7 thef 7 roundedf 7 numbersf 7 aref 7 shownf 7 inf 7 bracket.f 7 Thef 7 completef

7 seriesf 7 isf7givenf7by,

200,f7 280(282.5),f7 400(399.03),f7 560(563.63),f7 800(796.13),f7 1120(1124.53),f7 …

1.3

Letf 7 usf 7 denotef 7 thef 7 ratiof 7 factorf 7 asf 7 (f7f7).f 7 Thef 7 derivedf 7 seriesf 7 isf 7 basedf 7 onf 7 geometricf 7

progression.f7Thef7powerf7ratingf7off7sevenf7modelsf7willf7asf7follows,

(1)f740f 7 ()0f7, (2)f 7 40f7 ()1f7, (3)f 7 40f 7 ()2f7, 4)f740f 7 ()3f7,

(5)f740f7()4f7, (6)f740f7()5f7, (7)f740f7()6

Thef7 maximumf7 loadf7 capacityf7 isf7 630f7 kN.f7 Therefore,
1/f76
f 7 630f7
40f 7 ()6f7=f7 630 or f7   40f f71.5832
  
7


Loadf7 capacityf7off7 firstf7 modelf7 =f7(40)f7kN
Loadf7 capacityf7off7 secondf7 modelf7 =f740f7(1.5832)f7=f763.33f7 =f7(63)f7kN
Loadf7 capacityf7 off7 thirdf7 modelf7 =f7 40f7(1.5832)2f7=f7 100.26f7 =f7 (100)f7 kN
Loadf7 capacityf7 off7 fourthf7 modelf7 =f7 40f7(1.5832)3f7=f7 158.73f7 =f7 (160)f7 kN

Loadf7 capacityf7 off7 fifthf7 modelf7 =f7 40f7(1.5832)4f7=f7 251.31f7 =f7 (250)f7 kN

Loadf7 capacityf7 off7 sixthf7 modelf7 =f7 40f7(1.5832)5f7=f7 397.87f7 =f7 (400)f7 kN

Loadf7 capacityf7 off7 seventhf7 modelf7 =f7 40f7(1.5832)6f7=f7 629.90f7 =f7 (630)f7 kN

1.4

Letf 7 usf 7 denotef 7 thef 7 ratiof 7 factorf 7 asf 7 (f7f7).f 7 Thef 7 derivedf 7 seriesf 7 isf 7 basedf 7 onf 7 geometricf 7

progression.f7Thef7speedsf7off7differentf7stepsf7willf7asf7follows,

, 3
(1)f772f 7 ()0f7, (2)f 7 72f7 ()1f7, (3)f 7 72()2f7, (4)f772f 7 ()3f7,

(5)f772f7()4f7, (6)f772f7()5f7, (7)f772f7()6 (8)f 7 72f7()7

(9) 72f7()8 (10) 72f7()9 (11) 72f7()10

Thef7 maximumf7 speedf7 isf7 720f7 r.p.m.f7 Therefore,
1f7/f710
f 7 720f7
72f7 ()10f7=f7720 or f7   72f f 7 (10)1/10f7 10f710f 7 f71.2589
  
7


Speedf7off7 firstf7 stepf7 =f772f7r.p.m.
Speedf7off7 secondf7stepf7 =f772f7(1.2589)f7=f7 90.64f7 =f7 (91)f7 r.p.m.
Speedf7 off7 thirdf7 stepf7 =f7 72f7(1.2589)2f7=f7 114.11f7 =f7 (114)f7 r.p.m.

Speedf7off7 fourthf7 stepf7=f7 72f7(1.2589)3f7=f7 143.65f7 =f7 (144)f7 r.p.m.

Speedf7 off7 fifthf7 stepf7=f7 72f7(1.2589)4f7=f7 180.84f7 =f7 (181)f7 r.p.m.
Speedf7off7 sixthf7stepf7 =f7 72f7(1.2589)5f7=f7 227.66f7 =f7 (228)f7 r.p.m.

Speedf7 off7 seventhf7 stepf7 =f7 72f7(1.2589)6f7=f7 286.60f7 =f7 (287)f7 r.p.m.

Speedf7off7 eighthf7stepf7=f7 72f7(1.2589)7f7=f7360.80f7 =f7 (361)f7 r.p.m.

Speedf7off7 ninthf7stepf7 =f7 72f7(1.2589)8f7=f7454.22f7=f7(454)f7r.p.m.

Speedf7off7tenthf7stepf7 =f7 72f7(1.2589)9f7=f7 571.81f7 =f7 (572)f7 r.p.m.
Speedf7off7eleventhf7 stepf7 =f7 72f7(1.2589)10f7=f7 719.85f7 =f7 (720)f7 r.p.m.