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By
Mr. B.Balavairavan
Assistant Professor
Mechanical Engineering
Kamaraj College of Engg and Tech
Virudhunagar
PSG Design Data Book
DEPARTMENT OF MECHANICAL ENGINEERING
Problem on Design of 14 Speed Gear Box
Sample Problem
A 14 speed gear boxis required to furnish output
speeds in the range of 125 to 2500 rpm. Draw the
speed diagram and kinematic arrangement.
Given:
n = 14
Nmin = 125 rpm
Nmax = 2500 rpm
Step - 1 Calculation of Step ratio
Referring PSG Data Book P. No : 7.20 the
calculated step ratio is not a std. value
Nmax
Nmin
=  n-1
2500
125
=  14 -1
 = 1.259
 Since  is not a std. value, Using multiples of
std. value the required step ratio is calculated
1.6 -
1.25 -
1.12 -
1.06 -
Multiples of 1.12 gives nearest value of 1.258
As 1.12 is multiplied 1 time, so we skip 1 speed
Hence std.  = 1.12 & R 20 series is selected
Cannot be used
Cannot be used
1.12
1.06
x 1.12 = 1.254
x 1.06 x 1.06x 1.06
= 1.238
Step - 2 Selection of Speeds
The obtained speeds are;
160,200,250,315,400,500,630,800,
1000,1250,1600,2000,2500
100 112 125 140 160 180 200 224 250 280 315 355 400 450 500
560 630 710 800 900
100
0
112
0
125
0
140
0
160
0
180
0
200
0
224
0
250
0
The speeds are withing the range hence no need to
check for deviation
Step - 3
 Structural formula & Ray Diagram 
The structural formula for 14 speed gear box is
3 (1) 3 (3) 2 (5)
3 (1) 3 (3) 2 (5)
Stage 1 Stage 2 Stage 3 Nmin
Ni/p
 0.25
Nmax
Ni/p
 2
125
315
400
315
= 0.4
= 1.27
=
=
Nmin
Ni/p
 0.25
Nmax
Ni/p
 2
315
800
1250
800
= 0.39
= 1.56
=
=
Nmin
Ni/p
 0.25
Nmax
Ni/p
 2
800
1600
1250
1600
= 0.5
= 0.78
=
=
Stage - 3
Stage - 2
Stage - 1
2500
2000
1600
1250
1000
800
630
500
400
315
250
200
160
125
Step - 4  Kinematic Arrangement 
Shaft - 1 / Input
Shaft - 2 / Intermediate
Shaft - 3 / Intermediate
1
3
42
5
6
13
15
8
7
9
10
16
14 Shaft - 4 / Output
11
12

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Design of 14 speed gear box

  • 1. By Mr. B.Balavairavan Assistant Professor Mechanical Engineering Kamaraj College of Engg and Tech Virudhunagar PSG Design Data Book DEPARTMENT OF MECHANICAL ENGINEERING Problem on Design of 14 Speed Gear Box
  • 2. Sample Problem A 14 speed gear boxis required to furnish output speeds in the range of 125 to 2500 rpm. Draw the speed diagram and kinematic arrangement. Given: n = 14 Nmin = 125 rpm Nmax = 2500 rpm
  • 3. Step - 1 Calculation of Step ratio Referring PSG Data Book P. No : 7.20 the calculated step ratio is not a std. value Nmax Nmin = n-1 2500 125 = 14 -1 = 1.259
  • 4. Since is not a std. value, Using multiples of std. value the required step ratio is calculated 1.6 - 1.25 - 1.12 - 1.06 - Multiples of 1.12 gives nearest value of 1.258 As 1.12 is multiplied 1 time, so we skip 1 speed Hence std. = 1.12 & R 20 series is selected Cannot be used Cannot be used 1.12 1.06 x 1.12 = 1.254 x 1.06 x 1.06x 1.06 = 1.238
  • 5. Step - 2 Selection of Speeds The obtained speeds are; 160,200,250,315,400,500,630,800, 1000,1250,1600,2000,2500 100 112 125 140 160 180 200 224 250 280 315 355 400 450 500 560 630 710 800 900 100 0 112 0 125 0 140 0 160 0 180 0 200 0 224 0 250 0 The speeds are withing the range hence no need to check for deviation
  • 6. Step - 3 Structural formula & Ray Diagram The structural formula for 14 speed gear box is 3 (1) 3 (3) 2 (5)
  • 7. 3 (1) 3 (3) 2 (5) Stage 1 Stage 2 Stage 3 Nmin Ni/p 0.25 Nmax Ni/p 2 125 315 400 315 = 0.4 = 1.27 = = Nmin Ni/p 0.25 Nmax Ni/p 2 315 800 1250 800 = 0.39 = 1.56 = = Nmin Ni/p 0.25 Nmax Ni/p 2 800 1600 1250 1600 = 0.5 = 0.78 = = Stage - 3 Stage - 2 Stage - 1 2500 2000 1600 1250 1000 800 630 500 400 315 250 200 160 125
  • 8. Step - 4 Kinematic Arrangement Shaft - 1 / Input Shaft - 2 / Intermediate Shaft - 3 / Intermediate 1 3 42 5 6 13 15 8 7 9 10 16 14 Shaft - 4 / Output 11 12