This document provides an example problem to design a 14-speed gearbox with output speeds ranging from 125 to 2500 rpm. It involves 4 steps:
1) Calculating the standard step ratio of 1.12 using the minimum and maximum speeds.
2) Selecting the 14 output speeds using multiples of the 1.12 step ratio.
3) Developing the structural formula of 3(1) 3(3) 2(5) to represent the gear stages.
4) Drawing the kinematic arrangement with 4 shafts to connect the gears based on the structural formula.
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)