Dimensions of Standard Tapers

Modified on 2009/11/25 23:56 by Administrator Categorized as Restoration Topics
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==Morse Tapers==
Different numbers of Morse Tapers have slightly different tapers, but all approximate 5/8 inch per foot (0.05208 inch per inch). Morse taper shanks are used on a variety of tools, and exclusively on the shanks of twist drills. Old twist drills are, in fact, an inexpensive source for Morse tapers. 

<table border="1" cellspacing="0" cellpadding="5">
  <tr>
    <td align="center"><b>&nbsp;Taper&nbsp;</b></td>
    <td align="center"><b>Large End</b></td>
    <td align="center"><b>Small End</b></td>
    <td align="center"><b>Length</b></td>
    <td align="center"><b>Taper/<br>
      Foot</b></td>
    <td align="center"><b>Taper/<br>
      Inch</b></td>
    <td align="center"><b>Angle
	From Center</b></td>
  </tr>
  <tr>
    <td align="center">#0</td>
    <td align="center">0.3561</td>
    <td align="center">0.2520</td>
    <td align="center">2.00</td>
    <td align="center">.6246</td>
    <td align="center">.0521</td>
    <td align="center">1.4908</td>
  </tr>
  <tr>
    <td align="center">#1</td>
    <td align="center">0.4750</td>
    <td align="center">0.3690</td>
    <td align="center">2.13</td>
    <td align="center">.5986</td>
    <td align="center">.0499</td>
    <td align="center">1.4287</td>
  </tr>
  <tr>
    <td align="center">#2</td>
    <td align="center">0.7000</td>
    <td align="center">0.5720</td>
    <td align="center">2.56</td>
    <td align="center">.5994</td>
    <td align="center">.0500</td>
    <td align="center">1.4307</td>
  </tr>
  <tr>
    <td align="center">#3</td>
    <td align="center">0.9380</td>
    <td align="center">0.7780</td>
    <td align="center">3.19</td>
    <td align="center">.6024</td>
    <td align="center">.0502</td>
    <td align="center">1.4377</td>
  </tr>
  <tr>
    <td align="center">#4</td>
    <td align="center">1.2310</td>
    <td align="center">1.0200</td>
    <td align="center">4.06</td>
    <td align="center">.6233</td>
    <td align="center">.0519</td>
    <td align="center">1.4876</td>
  </tr>
  <tr>
    <td align="center">#4-1/2</td>
    <td align="center">1.5000</td>
    <td align="center">1.2660</td>
    <td align="center">4.50</td>
    <td align="center">.6240</td>
    <td align="center">.0520</td>
    <td align="center">1.4894</td>
  </tr>
  <tr>
    <td align="center">#5</td>
    <td align="center">1.7480</td>
    <td align="center">1.4750</td>
    <td align="center">5.19</td>
    <td align="center">.6315</td>
    <td align="center">.0526</td>
    <td align="center">1.5073</td>
  </tr>
  <tr>
    <td align="center">#6</td>
    <td align="center">2.4940</td>
    <td align="center">2.1160</td>
    <td align="center">7.25</td>
    <td align="center">.6257</td>
    <td align="center">.0521</td>
    <td align="center">1.4933</td>
  </tr>
  <tr>
    <td align="center">#7</td>
    <td align="center">3.2700</td>
    <td align="center">2.7500</td>
    <td align="center">10.00</td>
    <td align="center">.6240</td>
    <td align="center">.0520</td>
    <td align="center">1.4894</td>
  </tr>
</table>


==Jacobs Tapers==
Jacobs tapers are used for drill chucks. 

<table border="1" cellspacing="0" cellpadding="5">
  <tr>
    <td align="center"><b>Taper</b></td>
    <td align="center"><b>Large End</b></td>
    <td align="center"><b>Small End</b></td>
    <td align="center"><b>Length</b></td>
    <td align="center"><b>Taper/<br>Foot</b></td>
    <td align="center"><b>Taper/<br>Inch</b></td>
    <td align="center"><b>Angle From Center</b></td>
  </tr>
  <tr>
    <td align="center">#0</td>
    <td align="center">0.2500</td>
    <td align="center">0.2284</td>
    <td align="center">0.44</td>
    <td align="center">.5915</td>
    <td align="center">.0493</td>
    <td align="center">1.4117</td>
  </tr>
  <tr>
    <td align="center">#1</td>
    <td align="center">0.3840</td>
    <td align="center">0.3334</td>
    <td align="center">0.66</td>
    <td align="center">.9251</td>
    <td align="center">.0771</td>
    <td align="center">2.2074</td>
  </tr>
  <tr>
    <td align="center">#2</td>
    <td align="center">0.5590</td>
    <td align="center">0.4876</td>
    <td align="center">0.88</td>
    <td align="center">.9786</td>
    <td align="center">.0816</td>
    <td align="center">2.3350</td>
  </tr>
  <tr>
    <td align="center">#2 Short</td>
    <td align="center">0.5488</td>
    <td align="center">0.4876</td>
    <td align="center">0.75</td>
    <td align="center">.9786</td>
    <td align="center">.0816</td>
    <td align="center">2.3350</td>
  </tr>
  <tr>
    <td align="center">#3</td>
    <td align="center">0.8110</td>
    <td align="center">0.7461</td>
    <td align="center">1.22</td>
    <td align="center">.6390</td>
    <td align="center">.0532</td>
    <td align="center">1.5251</td>
  </tr>
  <tr>
    <td align="center">#4</td>
    <td align="center">1.1240</td>
    <td align="center">1.0372</td>
    <td align="center">1.66</td>
    <td align="center">.6289</td>
    <td align="center">.0524</td>
    <td align="center">1.5009</td>
  </tr>
  <tr>
    <td align="center">#5</td>
    <td align="center">1.4130</td>
    <td align="center">1.3161</td>
    <td align="center">1.88</td>
    <td align="center">.6201</td>
    <td align="center">.0517</td>
    <td align="center">1.4801</td>
  </tr>
  <tr>
    <td align="center">#6</td>
    <td align="center">0.6760</td>
    <td align="center">0.6241</td>
    <td align="center">1.00</td>
    <td align="center">.6229</td>
    <td align="center">.0519</td>
    <td align="center">1.4868</td>
  </tr>
  <tr>
    <td align="center">#33</td>
    <td align="center">0.6240</td>
    <td align="center">0.5605</td>
    <td align="center">1.00</td>
    <td align="center">.7619</td>
    <td align="center">.0635</td>
    <td align="center">1.8184</td>
  </tr>
</table>


==Brown &amp; Sharpe Tapers==
Brown & Sharpe tapers are used for taper shanks on tools such as end mills and reamers, arbors, collets and machine tool spindles, especially milling machines and grinding machines.

The taper is approximately 1/2 inch per foot (0.04167 inch per inch) for all sizes except for taper No. 10, where the taper is 0.5161 inch per foot (0.04301 inch per inch). In many cases there are a number of different lengths of sockets corresponding to the same number of taper; all these tapers, however, are of the same diameter at the small end. 

<table border="1" cellspacing="0" cellpadding="5">
  <tr>
    <td align="center"><b>Taper</b></td>
    <td align="center"><b>Large End</b></td>
    <td align="center"><b>Small End</b></td>
    <td align="center"><b>Length</b></td>
    <td align="center"><b>Taper/<br>Foot</b></td>
    <td align="center"><b>Taper/<br>Inch</b></td>
    <td align="center"><b>Angle From Center</b></td>
  </tr>
  <tr>
    <td align="center">#1</td>
    <td align="center">0.2392</td>
    <td align="center">0.2000</td>
    <td align="center">0.94</td>
    <td align="center">.5020</td>
    <td align="center">.0418</td>
    <td align="center">1.1983</td>
  </tr>
  <tr>
    <td align="center">#2</td>
    <td align="center">0.2997</td>
    <td align="center">0.2500</td>
    <td align="center">1.19</td>
    <td align="center">.5020</td>
    <td align="center">.0418</td>
    <td align="center">1.1983</td>
  </tr>
  <tr>
    <td align="center">#3</td>
    <td align="center">0.3753</td>
    <td align="center">0.3125</td>
    <td align="center">1.50</td>
    <td align="center">.5020</td>
    <td align="center">.0418</td>
    <td align="center">1.1983</td>
  </tr>
  <tr>
    <td align="center">#4</td>
    <td align="center">0.4207</td>
    <td align="center">0.3500</td>
    <td align="center">1.69</td>
    <td align="center">.5024</td>
    <td align="center">.0419</td>
    <td align="center">1.1992</td>
  </tr>
  <tr>
    <td align="center">#5</td>
    <td align="center">0.5388</td>
    <td align="center">0.4500</td>
    <td align="center">2.13</td>
    <td align="center">.5016</td>
    <td align="center">.0418</td>
    <td align="center">1.1973</td>
  </tr>
  <tr>
    <td align="center">#6</td>
    <td align="center">0.5996</td>
    <td align="center">0.5000</td>
    <td align="center">2.38</td>
    <td align="center">.5033</td>
    <td align="center">.0419</td>
    <td align="center">1.2013</td>
  </tr>
  <tr>
    <td align="center">#7</td>
    <td align="center">0.7201</td>
    <td align="center">0.6000</td>
    <td align="center">2.88</td>
    <td align="center">.5015</td>
    <td align="center">.0418</td>
    <td align="center">1.1970</td>
  </tr>
  <tr>
    <td align="center">#8</td>
    <td align="center">0.8987</td>
    <td align="center">0.7500</td>
    <td align="center">3.56</td>
    <td align="center">.5010</td>
    <td align="center">.0418</td>
    <td align="center">1.1959</td>
  </tr>
  <tr>
    <td align="center">#9</td>
    <td align="center">1.0775</td>
    <td align="center">0.9001</td>
    <td align="center">4.25</td>
    <td align="center">.5009</td>
    <td align="center">.0417</td>
    <td align="center">1.1955</td>
  </tr>
  <tr>
    <td align="center">#10</td>
    <td align="center">1.2597</td>
    <td align="center">1.0447</td>
    <td align="center">5.00</td>
    <td align="center">.5161</td>
    <td align="center">.0430</td>
    <td align="center">1.2320</td>
  </tr>
  <tr>
    <td align="center">#11</td>
    <td align="center">1.4978</td>
    <td align="center">1.2500</td>
    <td align="center">5.94</td>
    <td align="center">.5010</td>
    <td align="center">.0418</td>
    <td align="center">1.1959</td>
  </tr>
  <tr>
    <td align="center">#12</td>
    <td align="center">1.7968</td>
    <td align="center">1.5001</td>
    <td align="center">7.13</td>
    <td align="center">.4997</td>
    <td align="center">.0416</td>
    <td align="center">1.1928</td>
  </tr>
  <tr>
    <td align="center">#13</td>
    <td align="center">2.0731</td>
    <td align="center">1.7501</td>
    <td align="center">7.75</td>
    <td align="center">.5002</td>
    <td align="center">.0417</td>
    <td align="center">1.1940</td>
  </tr>
  <tr>
    <td align="center">#14</td>
    <td align="center">2.3438</td>
    <td align="center">2.0000</td>
    <td align="center">8.25</td>
    <td align="center">.5000</td>
    <td align="center">.0417</td>
    <td align="center">1.1935</td>
  </tr>
  <tr>
    <td align="center">#15</td>
    <td align="center">2.6146</td>
    <td align="center">2.2500</td>
    <td align="center">8.75</td>
    <td align="center">.5000</td>
    <td align="center">.0417</td>
    <td align="center">1.1935</td>
  </tr>
  <tr>
    <td align="center">#16</td>
    <td align="center">2.8854</td>
    <td align="center">2.5000</td>
    <td align="center">9.25</td>
    <td align="center">.5000</td>
    <td align="center">.0417</td>
    <td align="center">1.1935</td>
  </tr>
  <tr>
    <td align="center">#17</td>
    <td align="center">3.1563</td>
    <td align="center">2.7500</td>
    <td align="center">9.75</td>
    <td align="center">.5000</td>
    <td align="center">.0417</td>
    <td align="center">1.1935</td>
  </tr>
  <tr>
    <td align="center">#18</td>
    <td align="center">3.4271</td>
    <td align="center">3.0000</td>
    <td align="center">10.25</td>
    <td align="center">.5000</td>
    <td align="center">.0417</td>
    <td align="center">1.1935</td>
  </tr>
</table>


==Jarno Tapers==
Originally proposed by Oscar J. Beale of Brown & Sharpe, the Jarno tapers are based on a mathematical relationship to the taper number. The major diameter is one-eighth inch per taper number, the minor diameter is one-tenth inch per taper number, and the length is one-half inch per taper number. For example, a #7 Jarno taper is 7/8" at the big end, 0.7000" at the small end, and is 3½" long. All Jarno tapers taper at a rate of 0.6000 inches per foot (0.0500 inch per inch). 

<table border="1" cellspacing="0" cellpadding="5">
  <tr>
    <td align="center"><b>Taper</b></td>
    <td align="center"><b>Large End</b></td>
    <td align="center"><b>Small End</b></td>
    <td align="center"><b>Length</b></td>
    <td align="center"><b>Taper/<br>Foot</b></td>
    <td align="center"><b>Taper/<br>Inch</b></td>
    <td align="center"><b>Angle From Center</b></td>
  </tr>
  <tr>
    <td align="center">#2</td>
    <td align="center">0.2500</td>
    <td align="center">0.2000</td>
    <td align="center">1.00</td>
    <td align="center">.6000</td>
    <td align="center">.0500</td>
    <td align="center">1.4321</td>
  </tr>
  <tr>
    <td align="center">#3</td>
    <td align="center">0.3750</td>
    <td align="center">0.3000</td>
    <td align="center">1.50</td>
    <td align="center">.6000</td>
    <td align="center">.0500</td>
    <td align="center">1.4321</td>
  </tr>
  <tr>
    <td align="center">#4</td>
    <td align="center">0.5000</td>
    <td align="center">0.4000</td>
    <td align="center">2.00</td>
    <td align="center">.6000</td>
    <td align="center">.0500</td>
    <td align="center">1.4321</td>
  </tr>
  <tr>
    <td align="center">#5</td>
    <td align="center">0.6250</td>
    <td align="center">0.5000</td>
    <td align="center">2.50</td>
    <td align="center">.6000</td>
    <td align="center">.0500</td>
    <td align="center">1.4321</td>
  </tr>
  <tr>
    <td align="center">#6</td>
    <td align="center">0.7500</td>
    <td align="center">0.6000</td>
    <td align="center">3.00</td>
    <td align="center">.6000</td>
    <td align="center">.0500</td>
    <td align="center">1.4321</td>
  </tr>
  <tr>
    <td align="center">#7</td>
    <td align="center">0.8750</td>
    <td align="center">0.7000</td>
    <td align="center">3.50</td>
    <td align="center">.6000</td>
    <td align="center">.0500</td>
    <td align="center">1.4321</td>
  </tr>
  <tr>
    <td align="center">#8</td>
    <td align="center">1.0000</td>
    <td align="center">0.8000</td>
    <td align="center">4.00</td>
    <td align="center">.6000</td>
    <td align="center">.0500</td>
    <td align="center">1.4321</td>
  </tr>
  <tr>
    <td align="center">#9</td>
    <td align="center">1.1250</td>
    <td align="center">0.9000</td>
    <td align="center">4.50</td>
    <td align="center">.6000</td>
    <td align="center">.0500</td>
    <td align="center">1.4321</td>
  </tr>
  <tr>
    <td align="center">#10</td>
    <td align="center">1.2500</td>
    <td align="center">1.0000</td>
    <td align="center">5.00</td>
    <td align="center">.6000</td>
    <td align="center">.0500</td>
    <td align="center">1.4321</td>
  </tr>
  <tr>
    <td align="center">#11</td>
    <td align="center">1.3750</td>
    <td align="center">1.1000</td>
    <td align="center">5.50</td>
    <td align="center">.6000</td>
    <td align="center">.0500</td>
    <td align="center">1.4321</td>
  </tr>
  <tr>
    <td align="center">#12</td>
    <td align="center">1.5000</td>
    <td align="center">1.2000</td>
    <td align="center">6.00</td>
    <td align="center">.6000</td>
    <td align="center">.0500</td>
    <td align="center">1.4321</td>
  </tr>
  <tr>
    <td align="center">#13</td>
    <td align="center">1.6250</td>
    <td align="center">1.3000</td>
    <td align="center">6.50</td>
    <td align="center">.6000</td>
    <td align="center">.0500</td>
    <td align="center">1.4321</td>
  </tr>
  <tr>
    <td align="center">#14</td>
    <td align="center">1.7500</td>
    <td align="center">1.4000</td>
    <td align="center">7.00</td>
    <td align="center">.6000</td>
    <td align="center">.0500</td>
    <td align="center">1.4321</td>
  </tr>
  <tr>
    <td align="center">#15</td>
    <td align="center">1.8750</td>
    <td align="center">1.5000</td>
    <td align="center">7.50</td>
    <td align="center">.6000</td>
    <td align="center">.0500</td>
    <td align="center">1.4321</td>
  </tr>
  <tr>
    <td align="center">#16</td>
    <td align="center">2.0000</td>
    <td align="center">1.6000</td>
    <td align="center">8.00</td>
    <td align="center">.6000</td>
    <td align="center">.0500</td>
    <td align="center">1.4321</td>
  </tr>
  <tr>
    <td align="center">#17</td>
    <td align="center">2.1250</td>
    <td align="center">1.7000</td>
    <td align="center">8.50</td>
    <td align="center">.6000</td>
    <td align="center">.0500</td>
    <td align="center">1.4321</td>
  </tr>
  <tr>
    <td align="center">#18</td>
    <td align="center">2.2500</td>
    <td align="center">1.8000</td>
    <td align="center">9.00</td>
    <td align="center">.6000</td>
    <td align="center">.0500</td>
    <td align="center">1.4321</td>
  </tr>
  <tr>
    <td align="center">#19</td>
    <td align="center">2.3750</td>
    <td align="center">1.9000</td>
    <td align="center">9.50</td>
    <td align="center">.6000</td>
    <td align="center">.0500</td>
    <td align="center">1.4321</td>
  </tr>
  <tr>
    <td align="center">#20</td>
    <td align="center">2.5000</td>
    <td align="center">2.0000</td>
    <td align="center">10.00</td>
    <td align="center">.6000</td>
    <td align="center">.0500</td>
    <td align="center">1.4321</td>
  </tr>
</table>
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