{"id":929,"date":"2024-07-08T11:20:23","date_gmt":"2024-07-08T05:50:23","guid":{"rendered":"https:\/\/study.madeeasy.in\/?p=929"},"modified":"2025-09-08T12:26:45","modified_gmt":"2025-09-08T06:56:45","slug":"classification-of-gear","status":"publish","type":"post","link":"https:\/\/www.madeeasy.in\/study\/me\/theory-of-machines\/classification-of-gear","title":{"rendered":"Classification of Gear"},"content":{"rendered":"<h2><strong>Parallel Shafts<\/strong><\/h2>\n<ul>\n<li><strong>Spur Gears:<\/strong> They have <strong>straight<\/strong> teeth <strong>parallel<\/strong> to the axes and thus are <strong>not<\/strong> subjected to axial thrust due to tooth load.<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-931 alignright\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/Spur-Gears.jpg\" alt=\"Spur Gears\" width=\"210\" height=\"183\" \/><\/li>\n<li style=\"text-align: justify;\">At the time of engagement of the two gears, the contact extends across the <strong>entire width on a line parallel<\/strong> to the axes of rotation.<br \/>\nThis results in <strong>sudden application<\/strong> of the load, <strong>high impact stresses<\/strong> and excessive noise at high speeds.<\/li>\n<\/ul>\n<ul style=\"text-align: justify;\">\n<li><strong>Spur Rack and Pinion:<\/strong> Spur rack is a special case of spur gear where it is made of infinite diameter so that the <strong>pitch surface<\/strong> is plane. The spur rack and pinion combination converts <strong>rotary motion<\/strong> into<strong> translatory motion<\/strong> or vice- versa. It is used in lathe in which the rack transmits motion to the saddle.<\/li>\n<\/ul>\n<ul style=\"text-align: justify;\">\n<li><strong>Helical gears or Helical spur gears:<\/strong> In helical gears, the teeth are <strong>curved<\/strong>. Two mating gears have the <strong>same helix angle<\/strong>; but have teeth of opposite hands.<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-932 alignright\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/helical-gears.jpg\" alt=\"Helical gears\" width=\"154\" height=\"144\" \/><\/li>\n<li>At the beginning of engagement, contact occurs only at the point of leading edge of the curved teeth. Thus the load application <strong>is gradual<\/strong> which result in low impact stresses.<\/li>\n<li>The helical gears can be used at higher velocities than the spur gears and have greater load &#8211; carrying capacity.<\/li>\n<li>Helical gears have the disadvantage of having <strong>end thrust<\/strong> end thrust as t end thrust here is a force component along the gear axis.<\/li>\n<li><strong>Double-helical and Herring bone Gears:<\/strong> A\u00a0 double &#8211; helical gear is equivalent to <strong>a pair of helical gears<\/strong> secured together, one having a <strong>right hand helix<\/strong>\u00a0and other a left hand helix.<\/li>\n<li>No axial thrust is present.<\/li>\n<li>If the left and the right inclinations of a double &#8211; helical gear meet <strong>at a common apex<\/strong> at a common apex and there is <strong>no groove<\/strong> in between the gear is known as <strong>herringbone gear<\/strong>.<\/li>\n<li><strong>Intersecting Shafts:<\/strong> The motion between two intersecting shafts is equivalent to the rolling of <strong>two cones<\/strong> assuming no slipping.<br \/>\n\u2013<strong> Straight bevel Gears:<\/strong> The teeth are <strong>straight<\/strong>, <strong>radial<\/strong> to the point of intersection of the shaft axes and vary in cross- section throughout <strong>their length<\/strong>.<\/li>\n<li>Gears of the <strong>same size<\/strong> and connecting two shafts at <strong>right angle<\/strong> to each other<br \/>\nare known as mitre gears.<br \/>\n\u2013<strong> Spiral bevel Gears:<\/strong> When the teeth of a bevel gear are <strong>inclined<\/strong> at an angle to the face of the bevel, they are known as spiral bevel or helical bevels.<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-934 alignright\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/spiral-bevel-gears.jpg\" alt=\"Straight bevel Gears\" width=\"186\" height=\"272\" \/><\/li>\n<li>There is <strong>gradual<\/strong> load application and<strong> low impact<\/strong> stresses.<\/li>\n<li>These are used for the drive to the <strong>differential<\/strong> of an automobile.<br \/>\n<strong>\u2013 Zero bevel Gears: <\/strong>Spiral bevel gears with <strong>curved<\/strong> teeth but with a <strong>zero degree spiral angle<\/strong> are known as zero bevel gears.<\/li>\n<li><strong>Skew Shafts<\/strong><br \/>\nIn case of skew (non-parallel, non-intersecting) shafts, a uniform rotary motion is <strong>not possible<\/strong> by <strong>pure rolling<\/strong> contact.<\/li>\n<li>If the two hyperboloids rotate on their respective axes, the motion between them would be a combination of rolling and sliding action.<\/li>\n<li>Angle between two shafts will be equal to the sum of the angles of generation of two hyperboloids.<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\u03b8 = \u03c81 + \u03c82<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-935 aligncenter\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/skew-shafts.jpg\" alt=\"Skew Shafts\" width=\"284\" height=\"158\" \/><\/p>\n<ul>\n<li style=\"text-align: justify;\"><strong>Crossed helical gears:<\/strong> The use of crossed &#8211; helical gears or spiral gears is limited to light loads. These gears are used to drive feed mechanism on machine tools, camshafts and oil pumps in I.C. engine.<\/li>\n<li style=\"text-align: justify;\"><strong>Worm Gears:<\/strong> It is a special case of a spiral gear in which the larger wheel usually has a hollow or concave shape.<\/li>\n<\/ul>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_79_1 ez-toc-wrap-left counter-hierarchy ez-toc-counter ez-toc-light-blue ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" 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href=\"https:\/\/www.madeeasy.in\/study\/me\/theory-of-machines\/classification-of-gear\/#Classification-of-Gear-according-to-Peripheral-Velocity-of-Gears\" >Classification of Gear according to Peripheral Velocity of Gears<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.madeeasy.in\/study\/me\/theory-of-machines\/classification-of-gear\/#Type-of-Profile\" >Type of Profile<\/a><\/li><\/ul><\/nav><\/div>\n<h3><span class=\"ez-toc-section\" id=\"Classification-of-Gear-according-to-Peripheral-Velocity-of-Gears\"><\/span>Classification of Gear according to Peripheral Velocity of Gears<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"text-align: justify;\">Low velocity gear : 0 \u2013 3 m\/s<br \/>\nMedium velocity gear : 3 \u2013 5 m\/s<br \/>\nLarge velocity gear : &gt;15 m\/s<\/p>\n<h2 style=\"text-align: justify;\">Gear Terminology<\/h2>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-1097 aligncenter\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/gear-terminology-300x135.png\" alt=\"\" width=\"300\" height=\"135\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/gear-terminology-300x135.png 300w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/gear-terminology.png 518w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<ul style=\"text-align: justify;\">\n<li><strong>Pitch Circle:<\/strong> It is an imaginary circle drawn in such a way that a <strong>pure rolling motion<\/strong> on this circle gives the motion which is exactly similar to the gear motion.<\/li>\n<li><strong>Pitch Point: <\/strong>It is a point where the two pitch circles of the mating gears touch each other.<\/li>\n<li><strong>Pressure angle (\u03a6):<\/strong> It is the angle between common normal to two gear teeth at the point of contact and the common tangent at the pitch point.<\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1102 aligncenter\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/pressure-angle.png\" alt=\"pressure angle\" width=\"259\" height=\"137\" \/><\/p>\n<ul style=\"text-align: justify;\">\n<li>The standard pressure angles are 14\u00bd \u00b0, 20\u00b0, 25\u00b0.<\/li>\n<li><strong>Module (<em>m <\/em>):<\/strong> It is defined as the ratio of pitch circle diameter (in mm) to the number of teeth.<br \/>\n<em>m <\/em>= D\/<em>T<\/em><\/li>\n<\/ul>\n<ul style=\"text-align: justify;\">\n<li><strong>Addendum Circle :<\/strong> A circle drawn from top of tooth and is concentric to pitch circle.<br \/>\nAddendum is radial distance between pitch circle to the top of tooth.<\/li>\n<li><strong>Dedendum Circle :<\/strong> A circle drawn from bottom of the teeth and concentric with pitch circle.<br \/>\nDedendum is radial distance between pitch circle and dedendum circle.<br \/>\nStandard proportions for 20\u00b0 full depth system.<\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1103\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/ac.png\" alt=\"\" width=\"266\" height=\"86\" \/><\/p>\n<ul style=\"text-align: justify;\">\n<li><strong>Circular Pitch (<em>C <\/em>) :<\/strong> It is a distance along a pitch circle from one point on a tooth to the corresponding point on the next tooth.\n<p style=\"text-align: center;\">C=\u03c0D\/T<\/p>\n<p>where, <em>D <\/em>= Pitch circle-diameter; <em>T <\/em>= Number of teeth; <em>C <\/em>= Space width + Tooth thickness<\/li>\n<li><strong>Diametral Pitch :<\/strong> It is the ratio of number of teeth to the pitch circle diameter but diameter should be <strong>in mm<\/strong>.<\/li>\n<\/ul>\n<p style=\"text-align: center;\">P<sub>d<\/sub>=T\/D<\/p>\n<ul style=\"text-align: justify;\">\n<li><strong>Relation between circular pitch (<em>C <\/em>) and diametral pitch (<em>P<\/em><em><sub>d<\/sub> <\/em>)<\/strong><\/li>\n<\/ul>\n<p style=\"text-align: justify;\">Circular pitch \u00d7 Diametral pitch = \u03c0<\/p>\n<ul style=\"text-align: justify;\">\n<li><strong>Tooth Thickness:<\/strong> It is the thickness of tooth measured <strong>along pitch circle<\/strong>.<\/li>\n<li><strong>Tooth Space:<\/strong> The space between the consecutive teeth measured <strong>along the pitch circle<\/strong>.<\/li>\n<li><strong>Backlash:<\/strong> It is difference between <strong>tooth space<\/strong> and tooth <strong>thickness<\/strong>, which is generally provided to avoid jamming due to thermal expansion.<\/li>\n<li><strong>Face:<\/strong> The portion of tooth profile <strong>above<\/strong> the pitch surface.<\/li>\n<li><strong>Flank :<\/strong>The portion of tooth profile <strong>below<\/strong> the pitch surface.<\/li>\n<li><strong>Profile: <\/strong>The curvature contained by <strong>face and flank<\/strong>.<\/li>\n<li><strong>Path of contact (POC):<\/strong> It is the path travelled by point of contact from the <strong>starting<\/strong> of engagement to the end of engagement.<br \/>\nPOC = Path of approach + Path of Recess<\/li>\n<\/ul>\n<ul style=\"text-align: justify;\">\n<li><strong>Arc of Contact (AOC):<\/strong> It is the path traced by a point on the <strong>pitch circle<\/strong> during starting of engagement to the end of engagement.<\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-951 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/angle-of-action.jpg\" alt=\"Angle of Action\" width=\"696\" height=\"216\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/angle-of-action.jpg 696w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/angle-of-action-300x93.jpg 300w\" sizes=\"auto, (max-width: 696px) 100vw, 696px\" \/><\/p>\n<h2 style=\"text-align: justify;\">Law of Gearing<\/h2>\n<ul style=\"text-align: justify;\">\n<li>The law of gearings states the condition which must be fulfilled by the gear tooth profiles to maintain a constant angular velocity ratio between two gears.<\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-955 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/law-of-gearing.jpg\" alt=\"Law of Gearing \" width=\"474\" height=\"207\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/law-of-gearing.jpg 474w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/law-of-gearing-300x131.jpg 300w\" sizes=\"auto, (max-width: 474px) 100vw, 474px\" \/><\/p>\n<ul style=\"text-align: justify;\">\n<li>For constant angular velocity ratio of the two gears, the common normal at the point of contact of the two mating teeth must pass through the pitch point.<\/li>\n<li><strong>Velocity of sliding<\/strong><br \/>\nIf the curved surfaces of the two teeth of the gears are to remain in contact one can have a sliding motion relative to the other along the common tangent.<br \/>\n= Sum of angular velocities \u00d7 distance between the pitch point and point of contact.<\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-956 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/velocity-of-sliding.jpg\" alt=\"Velocity of sliding\" width=\"119\" height=\"24\" \/><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Type-of-Profile\"><\/span>Type of Profile<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Involute Profile<\/strong><\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li>Involute is a curve generated <strong>by point<\/strong> on a <strong>tangent<\/strong> which rolls on a circle <strong>without slipping<\/strong>. The involute profile on a gear will be generated through a generating circle and this generating circle will be known as <strong>base circle<\/strong>. It is a fundamental property of a gear its radius will not change in any condition for a gear.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li>A normal on any point of involute profile will be tangent to the base circle.<\/li>\n<li>Tooth profile is always generated from base circle and the profile between root circle and base circle will not be of involute type.<\/li>\n<li>If the centre distance between the two pitch circles varies, the point <em>P <\/em>is shifted and the speed of the driven gear would vary.<\/li>\n<li>For a pair of involute gears, velocity ratio is inversely proportional to the pitch circle diameters as well as base circle diameters.<\/li>\n<li><strong>Path of Contact<\/strong><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-965 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/path-of-contact-1.png\" alt=\"Path of Contact \" width=\"695\" height=\"455\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/path-of-contact-1.png 695w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/path-of-contact-1-300x196.png 300w\" sizes=\"auto, (max-width: 695px) 100vw, 695px\" \/><\/p>\n<p><strong>Cycloidal Profile Teeth :<\/strong><\/p>\n<p>A cycloid is the locus of a point on the circumference of a circle that rolls <strong>without slipping<\/strong> on the circumference of another circle. In this type, the faces of the teeth are <strong>epicycloids<\/strong> and flanks the <strong>hypocycloids<\/strong>.<\/p>\n<table class=\"table table-striped table-bordered table-condensed\" style=\"margin: 0 auto; width: 99%;\">\n<tbody>\n<tr>\n<th width=\"67\">Type of tooth<\/th>\n<th style=\"text-align: center;\" width=\"97\">Pressure angle (\u03a6)<\/th>\n<th style=\"text-align: center;\" width=\"65\">Addendum<\/th>\n<th width=\"65\">Dedendum<\/th>\n<\/tr>\n<tr>\n<td width=\"67\">\n<p style=\"text-align: center;\">Full depth<\/p>\n<\/td>\n<td style=\"text-align: center;\" width=\"97\">20\u00b0<\/p>\n<p>22.5\u00b0<\/td>\n<td style=\"text-align: center;\" width=\"65\">1 <em>m<\/em><\/p>\n<p>1 <em>m<\/em><\/td>\n<td style=\"text-align: center;\" width=\"65\">1.157 <em>m<\/em><\/p>\n<p>1.35 <em>m<\/em><\/td>\n<\/tr>\n<tr>\n<td width=\"67\"><\/td>\n<td width=\"97\">\n<p style=\"text-align: center;\">25\u00b0<\/p>\n<\/td>\n<td style=\"text-align: center;\" width=\"65\">1 <em>m<\/em><\/td>\n<td width=\"65\">\n<p style=\"text-align: center;\">1.25 <em>m<\/em><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"67\">Stub<\/td>\n<td style=\"text-align: center;\" width=\"97\">20\u00b0<\/td>\n<td style=\"text-align: center;\" width=\"65\">0.8 <em>m<\/em><\/td>\n<td width=\"65\">\n<p style=\"text-align: center;\">1 <em>m<\/em><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-982 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/epicycloids-1.jpg\" alt=\"Epicycloids\" width=\"258\" height=\"192\" \/><\/p>\n<p style=\"text-align: center;\"><a class=\"btn btn-danger\" role=\"button\" href=\"https:\/\/study.madeeasy.in\/me\/theory-of-machines\/types-of-cam\/\" target=\"_blank\" rel=\"noopener\">&lt;&lt; Previous<\/a> | <a class=\"btn btn-success\" role=\"button\" href=\"https:\/\/study.madeeasy.in\/me\/theory-of-machines\/static-balancing\/\" target=\"_blank\" rel=\"noopener\"> Next &gt;&gt;<\/a><br \/>\n<strong> Must Read: <\/strong> <a href=\"https:\/\/study.madeeasy.in\/subjects\/what-is-the-theory-of-machines\/\" target=\"_blank\" rel=\"noopener\"><strong>What is the Theory of Machines?<\/strong><\/a><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Parallel Shafts Spur Gears: They have straight teeth parallel to the axes and thus are not subjected to axial thrust<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[287,10],"tags":[318,320,319,316,317],"class_list":["post-929","post","type-post","status-publish","format-standard","hentry","category-theory-of-machines","category-me","tag-helical-gears","tag-intersecting-shafts","tag-parallel-shafts","tag-skew-shafts","tag-spiral-bevel-gears"],"_links":{"self":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/929","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/comments?post=929"}],"version-history":[{"count":0,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/929\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/media?parent=929"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/categories?post=929"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/tags?post=929"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}