{"id":2061,"date":"2024-07-31T21:23:49","date_gmt":"2024-07-31T21:23:49","guid":{"rendered":"https:\/\/workhouse.sweetdishy.com\/?p=2061"},"modified":"2024-07-31T21:23:50","modified_gmt":"2024-07-31T21:23:50","slug":"single-plate-clutch","status":"publish","type":"post","link":"https:\/\/workhouse.sweetdishy.com\/index.php\/2024\/07\/31\/single-plate-clutch\/","title":{"rendered":"SINGLE PLATE CLUTCH"},"content":{"rendered":"\n<p id=\"para-016\">In a single plate clutch, a flywheel \u2018A\u2019 is bolted to a flange on the driving shaft B. The friction plate C is fixed to a hub which can slide on the spline, i.e., driven shaft \u2018D\u2019. Two rings of friction material are riveted to flange \u2018A\u2019 and the plate \u2018C\u2019. The pressure plate \u2018E\u2019 is bushed internally, so as to revolve freely on shaft D and is integrated with withdrawal force F. A number of spiral springs are arranged around the clutch at \u2018S\u2019 as shown in\u00a0Figure 16.4 (a),\u00a0which provides axial thrust between friction surfaces.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/page393.png\" alt=\"Figure 16.4\"\/><\/figure>\n\n\n\n<p id=\"para-017\"><strong>Figure 16.4<\/strong>&nbsp;(a) Single Plate Clutch and (b) Friction Plate<\/p>\n\n\n\n<p id=\"para-018\">When the withdrawal force is removed, the spring forces the pressure plate \u2018E\u2019 against the ring G. The friction between the contact surfaces of rings \u2018G\u2019 and plate \u2018C\u2019 transmits a torque on \u2018D\u2019 and driven shaft starts to rotate.<\/p>\n\n\n\n<p id=\"para-019\">Let&nbsp;<em>W<\/em>&nbsp;= Axial load on the plate<\/p>\n\n\n\n<p id=\"para-020\">&nbsp;&nbsp;<em>T<\/em>&nbsp;= Torque transmitted by clutch&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/a5.png\" alt=\"Equation\"\/><\/figure>\n\n\n\n<p id=\"para-025\">Axial force on a small elemental ring of radius&nbsp;<em>r<\/em>&nbsp;and width&nbsp;<em>dr, \u03b4W = P \u00d7&nbsp;<\/em>2<em>\u03c0rdr<\/em><\/p>\n\n\n\n<p id=\"para-026\">Frictional force,<\/p>\n\n\n\n<p id=\"para-026_01\">&nbsp;<\/p>\n\n\n\n<p><em>F<\/em><sub>r<\/sub>&nbsp;=&nbsp;<em>\u03bc\u03b4W = \u03bc \u00d7 P \u00d7&nbsp;<\/em>2<em>\u03c0rdr<\/em><\/p>\n\n\n\n<p id=\"para-027\">&nbsp;<\/p>\n\n\n\n<p id=\"para-027_01\">Torque,<\/p>\n\n\n\n<p id=\"para-027_02\">&nbsp;<\/p>\n\n\n\n<p><em>\u03b4T = F<\/em><sub>r<\/sub>&nbsp;\u00d7&nbsp;<em>r<\/em>&nbsp;=&nbsp;<em>\u03bc<\/em>&nbsp;\u00d7&nbsp;<em>P<\/em>&nbsp;\u00d7 2<em>\u03c0rdr<\/em>&nbsp;\u00d7&nbsp;<em>r<\/em>&nbsp;=&nbsp;<em>\u03bcP<\/em>2<em>\u03c0r<\/em><sup>2<\/sup><em>dr<\/em><\/p>\n\n\n\n<p id=\"para-028\">&nbsp;<\/p>\n\n\n\n<p id=\"para-028_01\">Now, there are two conditions:<\/p>\n\n\n\n<ol class=\"wp-block-list\" id=\"ol-002\">\n<li>Uniform pressure for new clutch plate.<\/li>\n\n\n\n<li>Non-uniform wear for old or weared clutch plate.<\/li>\n<\/ol>\n\n\n\n<p id=\"para-029\"><em><strong>Case I: Uniform Pressure<\/strong><\/em><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/page394.png\" alt=\"Equation\"\/><\/figure>\n\n\n\n<p id=\"para-030\"><a><\/a>Putting the value of&nbsp;<em>P<\/em>, we get<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/page394a.png\" alt=\"Equation\"\/><\/figure>\n\n\n\n<p id=\"para-031\">where&nbsp;<em>R<\/em>&nbsp;is mean radius and equals to&nbsp;<img loading=\"lazy\" decoding=\"async\" alt=\"equation\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/page394b.png\" width=\"76\" height=\"43\"><\/p>\n\n\n\n<p id=\"para-032\"><em><strong>Case II: Uniform Wear<\/strong><\/em><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/page394c.png\" alt=\"Equation\"\/><\/figure>\n\n\n\n<p id=\"para-033\">Normal force on the ring&nbsp;<img loading=\"lazy\" decoding=\"async\" alt=\"equation\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/page394d.png\" width=\"213\" height=\"34\"><\/p>\n\n\n\n<p id=\"para-034\">Total force on the friction plate,&nbsp;<img loading=\"lazy\" decoding=\"async\" alt=\"equation\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/page394e.png\" width=\"248\" height=\"43\"><\/p>\n\n\n\n<p id=\"para-035\">or<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/page394g.png\" alt=\"Equation\"\/><\/figure>\n\n\n\n<p id=\"para-036\">Putting the value of&nbsp;<em>C<\/em>, we get<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/page395.png\" alt=\"Equation\"\/><\/figure>\n\n\n\n<p id=\"para-037\">where&nbsp;<em>R<\/em>&nbsp;is mean radius and equals to&nbsp;<img loading=\"lazy\" decoding=\"async\" alt=\"equation\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/page395a.png\" width=\"66\" height=\"33\"><\/p>\n\n\n\n<p id=\"para-038\"><strong>Example 16.1:<\/strong>&nbsp;A single plate disc clutch, both sides effective, has outer and inner radii as 250 mm and 150 mm. The maximum intensity of pressure at any point in the contact surface is not to exceed 0.1 N\/mm<sup>2<\/sup>. If the coefficient of friction is 0.25, find the power transmitted by the clutch at a speed of 3,000 rpm (i) assuming uniform wear, and (ii) assuming uniform pressure.<\/p>\n\n\n\n<p id=\"para-039\">Solution:<\/p>\n\n\n\n<p id=\"para-040\">Given:&nbsp;<em>r<\/em><sub>1<\/sub>&nbsp;= 250 mm,&nbsp;<em>r<\/em><sub>2<\/sub>&nbsp;= 150 mm,&nbsp;<em>P<\/em>&nbsp;= 0.1 N\/mm<sup>2<\/sup>,&nbsp;<em>\u03bc<\/em>&nbsp;= 0.25,&nbsp;<em>N<\/em>&nbsp;= 3,000 rpm<\/p>\n\n\n\n<ol class=\"wp-block-list\" id=\"ol-003\">\n<li>Considering uniform wear&nbsp;<img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/page395b.png\" alt=\"equation\" width=\"400\"><\/li>\n\n\n\n<li>Considering uniform pressure&nbsp;<img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/page395c.png\" alt=\"equation\" width=\"400\"><\/li>\n<\/ol>\n\n\n\n<p id=\"para-042\"><strong>Example 16.2:<\/strong>&nbsp;A single plate disc clutch has both of its sides effective, transmits power at 250 rpm. The coefficient of friction is 0.25. The outer and inner radii of the friction plate are 100 mm and 40 mm, respectively. Assuming uniform wear of the clutch, the maximum pressure intensity is 0.1 N\/mm<sup>2<\/sup>. If the moment of inertia of the rotating part of the clutch is 8 kg m<sup>2<\/sup>, calculate the time to attain the full speed by the machine and the energy lost during slipping of the clutch.<\/p>\n\n\n\n<p id=\"para-043\">Assuming uniform pressure, find the intensity of pressure and compare the power transmitted with uniform wear to that with uniform pressure.<\/p>\n\n\n\n<p id=\"para-044\">Solution:<\/p>\n\n\n\n<p id=\"para-045\">Given:<em>&nbsp;N<\/em>&nbsp;= 250 rpm,&nbsp;<em>\u03bc<\/em>&nbsp;= 0.25,&nbsp;<em>r<\/em><sub>1<\/sub>&nbsp;= 100 mm,&nbsp;<em>r<\/em><sub>2<\/sub>&nbsp;= 40 mm,&nbsp;<em>P<\/em>&nbsp;= 0.1 N\/mm<sup>2<\/sup>,&nbsp;<em>I<\/em>&nbsp;= 8 kg m<sup>2<\/sup><\/p>\n\n\n\n<ol class=\"wp-block-list\" id=\"ol-004\">\n<li>Considering uniform wear&nbsp;&nbsp;<img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/a10.png\" alt=\"Equation\" width=\"400\"><\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/page396.png\" alt=\"equation\"\/><\/figure>\n\n\n\n<p id=\"para-047\">Energy loss during slipping period<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/page396a.png\" alt=\"equation\"\/><\/figure>\n\n\n\n<ol class=\"wp-block-list\" id=\"ol-005\">\n<li>With uniform pressure&nbsp;<img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/page396b.png\" alt=\"equation\" width=\"400\"><\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>In a single plate clutch, a flywheel \u2018A\u2019 is bolted to a flange on the driving shaft B. The friction plate C is fixed to a hub which can slide on the spline, i.e., driven shaft \u2018D\u2019. Two rings of friction material are riveted to flange \u2018A\u2019 and the plate \u2018C\u2019. The pressure plate \u2018E\u2019 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":2059,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[316],"tags":[],"class_list":["post-2061","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-coupling-clutch-and-brake"],"jetpack_featured_media_url":"https:\/\/workhouse.sweetdishy.com\/wp-content\/uploads\/2024\/07\/download-22.jpeg","_links":{"self":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/2061","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/comments?post=2061"}],"version-history":[{"count":1,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/2061\/revisions"}],"predecessor-version":[{"id":2062,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/2061\/revisions\/2062"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media\/2059"}],"wp:attachment":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media?parent=2061"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/categories?post=2061"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/tags?post=2061"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}