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Section 17 Strength and Durability of Gears - SDP/SI

Section 17 Strength and Durability of Gears - SDP/SI

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ELEMENTS OF METRIC GEAR TECHNOLOGY<br />

I<br />

Coefficient <strong>of</strong> Friction<br />

0.150<br />

0.120<br />

0.100<br />

0.090<br />

0.080<br />

0.070<br />

0.060<br />

0.050<br />

0.040<br />

0.030<br />

0.020<br />

0.015<br />

PHONE: 516.328.3300 • FAX: 516.326.8827 • WWW.<strong>SDP</strong>-<strong>SI</strong>.COM<br />

R<br />

T<br />

1<br />

2<br />

3<br />

4<br />

0.012<br />

0 0.001 0.01 0.05 0.1 0.2 0.4 0.6 1 1.5 2 3 4 5 6 7 8 9 10 12 14 16 18 20 22 24 26 30<br />

Sliding Speed<br />

Fig. <strong>17</strong>-12 Friction Coefficient, µ<br />

Table <strong>17</strong>-27 Combinations <strong>of</strong> Materials <strong>and</strong> Their Coefficients <strong>of</strong> Friction, µ<br />

Combination <strong>of</strong> Materials<br />

Cast Iron <strong>and</strong> Phosphor Bronze<br />

Cast Iron <strong>and</strong> Cast Iron<br />

Quenched Steel <strong>and</strong> Aluminum Alloy<br />

Steel <strong>and</strong> Steel<br />

<strong>17</strong>.5.4 Surface <strong>Strength</strong> <strong>of</strong> Worm Gearing Mesh<br />

µ<br />

µ in Figure <strong>17</strong>-12 times 1.15<br />

µ in Figure <strong>17</strong>-12 times 1.33<br />

µ in Figure <strong>17</strong>-12 times 1.33<br />

µ in Figure <strong>17</strong>-12 times 2.00<br />

(1) Calculation <strong>of</strong> Basic Load<br />

Provided dimensions <strong>and</strong> materials <strong>of</strong> the worm pair are known, the allowable load is<br />

as follows:<br />

F t lim = Allowable tangential force (kgf)<br />

Z L Z M Z<br />

0.8<br />

= 3.82 K R<br />

v K n S c lim Zd 2 m x –––––– (<strong>17</strong>-51)<br />

K C<br />

T 2 lim = Allowable worm gear torque (kgf • m)<br />

Z L Z M Z<br />

1.8<br />

= 0.00191 K R<br />

v K n S c lim Zd 2 m x ––––– (<strong>17</strong>-52)<br />

(2) Calculation <strong>of</strong> Equivalent Load<br />

The basic load Equations (<strong>17</strong>-51) <strong>and</strong> (<strong>17</strong>-52) are applicable under the conditions <strong>of</strong><br />

no impact <strong>and</strong> the pair can operate for 26000 hours minimum. The condition <strong>of</strong> "no impact"<br />

is defined as the starting torque which must be less than 200% <strong>of</strong> the rated torque; <strong>and</strong> the<br />

frequency <strong>of</strong> starting should be less than twice per hour.<br />

K C<br />

5<br />

6<br />

7<br />

8<br />

9<br />

10<br />

11<br />

12<br />

13<br />

14<br />

15<br />

T-187<br />

A

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