{"id":2590,"date":"2024-08-05T17:05:29","date_gmt":"2024-08-05T11:35:29","guid":{"rendered":"https:\/\/study.madeeasy.in\/?p=2590"},"modified":"2025-07-16T15:24:46","modified_gmt":"2025-07-16T09:54:46","slug":"principal-stresses","status":"publish","type":"post","link":"https:\/\/www.madeeasy.in\/study\/ce\/strength-of-material\/principal-stresses","title":{"rendered":"PRINCIPAL STRESSES AND MAXIMUM SHEAR STRESS"},"content":{"rendered":"<h2 style=\"text-align: justify;\"><strong>(a) Principal Stress <img loading=\"lazy\" decoding=\"async\" class=\"alignright wp-image-2563 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/stresses.jpg\" alt=\"Stresses\" width=\"268\" height=\"176\" \/><\/strong><\/h2>\n<p style=\"text-align: justify;\">Consider a planar stress element subjected to normal and shear stress as shown below. Normal stress and shear stress on a plane inclined at an angle \u03b8 with vertical plane are represented by \u03c3<sub>x\u2032<\/sub> and \u03c4<sub>x\u2032y\u2032<\/sub> as shown below.<\/p>\n<p style=\"text-align: justify;\">When variation of normal and shear stress with angle of rotation \u03b8 is studied, it can be shown.<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2564 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/shear-stresses-1-1.jpg\" alt=\"Shear Stresses \" width=\"454\" height=\"362\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/shear-stresses-1-1.jpg 454w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/shear-stresses-1-1-300x239.jpg 300w\" sizes=\"auto, (max-width: 454px) 100vw, 454px\" \/><\/p>\n<p style=\"text-align: justify;\">As we can see, when plane is rotated continuously in anticlockwise direction, normal stress at a point \u03c3<sub>x\u2032<\/sub> attains a maximum value and minimum value at point A and point B respectively known as major principal stress and minor principal stress represented by \u03c3<sub>1<\/sub> and \u03c3<sub>2<\/sub> respectively. It is to noted that when normal stress is maximum and minimum shear, stress is zero on these planes.<\/p>\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\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.madeeasy.in\/study\/ce\/strength-of-material\/principal-stresses\/#Expression-For-principal-stresses\" >Expression For principal stresses:<\/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\/ce\/strength-of-material\/principal-stresses\/#MOHRS-CIRCLE\" >MOHR\u2019S CIRCLE<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.madeeasy.in\/study\/ce\/strength-of-material\/principal-stresses\/#a-For-Plane-Stress\" >(a) For Plane Stress:<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h3 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Expression-For-principal-stresses\"><\/span>Expression For principal stresses:<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"text-align: justify;\">\u03c3<sub>x&#8217;<\/sub> = (\u03c3<sub>x<\/sub> + \/2) + (\u03c3<sub>x<\/sub> &#8211; \u03c3<sub>y<\/sub>\/2) cos2\u03b8 + \u03c4<sub>xy<\/sub> sin2\u03b8 &#8230;&#8230;&#8230;(i)<\/p>\n<p style=\"text-align: justify;\">As the principal stresses are maximum and minimum value of normal stress,<\/p>\n<p style=\"text-align: justify;\">d\u03c3x\u2032\/d\u03b8 = 0 &#8230;&#8230;.(ii)<\/p>\n<p style=\"text-align: justify;\">d\u03c3\u2032\/d\u03b8 = (\u03c3<sub>x<\/sub> &#8211; \u03c3<sub>y<\/sub>\/2) &#8211; 2sin2\u03b8 + 2\u03c4<sub>xy <\/sub>cos2\u03b8 &#8230;&#8230;&#8230;(iii)<\/p>\n<p style=\"text-align: justify;\">tan2\u03b8<sub>P<\/sub> = 2\u03c4<sub>xy<\/sub>\/\u03c3<sub>x<\/sub> &#8211; \u03c3<sub>y <\/sub>&#8230;&#8230;..(iv)<\/p>\n<p style=\"text-align: justify;\">Angle \u03b8<sub>P <\/sub>defines the orientation of principal planes.<br \/>\nThese are the planes on which principal stresses acts. From eq. (iv), \u03b8<sub>P <\/sub>has two values, one is from 0 \u2013 90\u00b0 and other is from 90\u00b0 \u2013 180\u00b0. Both value differ by a value of 90\u00b0<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2566 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/principal-planes.jpg\" alt=\"Principal Planes\" width=\"708\" height=\"505\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/principal-planes.jpg 708w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/principal-planes-300x214.jpg 300w\" sizes=\"auto, (max-width: 708px) 100vw, 708px\" \/><\/p>\n<p style=\"text-align: justify;\">Hence, it can be inferred that on principal plane, the value of shear stress is zero.<br \/>\n\u2022 In uniaxial and biaxial stress element, principal planes are x and y plane themselves.<br \/>\n\u2022 In case of pure shear<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2567 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/principle-plane.jpg\" alt=\"Principle Plane\" width=\"698\" height=\"266\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/principle-plane.jpg 698w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/principle-plane-300x114.jpg 300w\" sizes=\"auto, (max-width: 698px) 100vw, 698px\" \/><\/p>\n<h3 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"MOHRS-CIRCLE\"><\/span>MOHR\u2019S CIRCLE<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<h4 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"a-For-Plane-Stress\"><\/span>(a) For Plane Stress:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p style=\"text-align: justify;\">The transformation equation for plane stress are:<\/p>\n<p style=\"text-align: justify;\">\u03c3<sub>x <\/sub>= (\u03c3<sub>x<\/sub> + \u03c3<sub>y<\/sub>\/2) = (\u03c3<sub>x<\/sub> &#8211; \u03c3<sub>y<\/sub>\/2) cos2\u03b8 + \u03c4<sub>xy<\/sub> sin2\u03b8 &#8230;..(i)<\/p>\n<p style=\"text-align: justify;\">\u03c4<sub>xy = <\/sub>(\u03c3<sub>x<\/sub> &#8211; \u03c3<sub>y<\/sub>\/2) sin2\u03b8\u00a0 + \u03c4<sub>xy <\/sub>Cos2\u03b8 &#8230;&#8230;&#8230;(ii)<\/p>\n<p style=\"text-align: justify;\">These equations can be represented in graphical form Known as Mohr\u2019s circle. This method can be very helpful in determining the stresses on an included plane at point in body.<br \/>\nThese equations are equation of circle in parametric form where angle 2\u03b8 is the parameter. Squaring both sides of equation and then eliminating the parameter by adding the equations.<\/p>\n<p style=\"text-align: justify;\">we get.<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2568 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/mohr-circle.jpg\" alt=\"Mohr\u2019s Circle\" width=\"779\" height=\"431\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/mohr-circle.jpg 779w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/mohr-circle-300x166.jpg 300w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/mohr-circle-768x425.jpg 768w\" sizes=\"auto, (max-width: 779px) 100vw, 779px\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(a) Construction of Mohr\u2019s Circle<\/strong><br \/>\n<strong>Sign convention<br \/>\n<\/strong><br \/>\n<strong>(i) Normal stresses:<\/strong> Tensile normal stresses are plotted in + s x direction.<br \/>\nCompressive normal stresses are plotted in \u2013x direction.<\/p>\n<p style=\"text-align: justify;\"><strong>(ii) Shear stress:\u00a0<\/strong><\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2569 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/stress.jpg\" alt=\"Stress\" width=\"732\" height=\"206\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/stress.jpg 732w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/stress-300x84.jpg 300w\" sizes=\"auto, (max-width: 732px) 100vw, 732px\" \/><\/p>\n<p style=\"text-align: justify;\">Stress element can be thought off as combination of two stress element as shown.<br \/>\nThere is an anticlockwise moment about centre due to shear stress, so coordinates of this element are (\u03c3<sub>x&#8217;<\/sub>\u00a0\u2013\u03c4<sub>xy<\/sub>) on Mohr\u2019s circle.<\/p>\n<p style=\"text-align: justify;\"><strong>(a) Steps to construct Mohr\u2019s circle for a plane stress element<\/strong><\/p>\n<p style=\"text-align: justify;\">Consider a planar stress element as shown in figures.<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2570 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/stress-element.jpg\" alt=\"Stress Element\" width=\"605\" height=\"284\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/stress-element.jpg 605w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/stress-element-300x141.jpg 300w\" sizes=\"auto, (max-width: 605px) 100vw, 605px\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>Steps:<\/strong><\/p>\n<ol style=\"text-align: justify;\">\n<li>Take \u03c3&#8217;<sub>x<\/sub> on x-axis and \u03c4<sub>x&#8217;y&#8217;<\/sub> on y-axis as shown.<\/li>\n<li>Locate the centre of circle having coordinate (\u03c3<sub>avg<\/sub> = \u03c3<sub>x<\/sub> + \u03c3y\/2,0)<\/li>\n<li>Locate a point A having coordinates (\u03c3<sub>x <\/sub>, \u03c3<sub>xy<\/sub>) representing the stress condition of x-face of stress element in figure a(1). [\u2013ve sign with \u03c4<sub>xy<\/sub> is used as per our sign convention]<\/li>\n<li>Locate a point B having coordinates (\u03c3<sub>y<\/sub>, \u03c4xy) representing the stress condition of y-face of stress element in figure a (ii). Line joining point A and B will pass through point C.<\/li>\n<\/ol>\n<p style=\"text-align: justify;\">Radius of circle, R as derived earlier is <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2571\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/radius.jpg\" alt=\"Radius\" width=\"225\" height=\"69\" \/><\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2572 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/mohr-circle-1.jpg\" alt=\"Mohr\u2019s circle\" width=\"471\" height=\"376\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/mohr-circle-1.jpg 471w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/mohr-circle-1-300x239.jpg 300w\" sizes=\"auto, (max-width: 471px) 100vw, 471px\" \/><\/p>\n<p style=\"text-align: justify;\">Thus a circle with centre C and radius R can be drawn in figure.<br \/>\nWe have to determine stress on inclined face of element oriented, at angle \u03b8 as shown in figure a(ii) using Mohr\u2019s circle method.<\/p>\n<p style=\"text-align: justify;\">The point on Mohr circle corresponds to a plane at zero inclination i.e. at \u03b8 = 0<br \/>\nTake a point D on Mohr\u2019s circle at angle 2\u03b8 in anticlockwise direction from radius CA. Point D has coordinates (\u03c3&#8217;<sub>x,<\/sub> &#8211; \u03c3<sub>x&#8217;y&#8217;<\/sub>).<\/p>\n<p style=\"text-align: justify;\">Let \u03b1 is angle between radius (i) and x-axis. Then from geometry.<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2573 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/mohr-circle-2.jpg\" alt=\"Mohr circle\" width=\"859\" height=\"415\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/mohr-circle-2.jpg 859w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/mohr-circle-2-300x145.jpg 300w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/mohr-circle-2-768x371.jpg 768w\" sizes=\"auto, (max-width: 859px) 100vw, 859px\" \/><\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2574 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/mohr-circle-3.jpg\" alt=\"Mohr circle\" width=\"892\" height=\"287\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/mohr-circle-3.jpg 892w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/mohr-circle-3-300x97.jpg 300w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/mohr-circle-3-768x247.jpg 768w\" sizes=\"auto, (max-width: 892px) 100vw, 892px\" \/><\/p>\n<p style=\"text-align: justify;\">Which are same as equations for stress transformation.<br \/>\nHence a point D on Mohr circle defined by angle 2\u03b8 represent the stress condition on x\u2032 face of stress element, defined by angle \u03b8.<br \/>\nHence it can be said that when we rotate the stress element in anticlockwise direction by angle \u03b8, the point on Mohr\u2019s circle will be at angle 2\u03b8 in anticlockwise direction.<\/p>\n<p style=\"text-align: justify;\"><strong>(b) Principal Stresses on Mohr\u2019s Circle<br \/>\n<\/strong><br \/>\nIn Mohr circle of stress figure cut the x-axis at two points namely P<sub>1<\/sub> and P<sub>2<\/sub>. At these points, shear stresses are zero. Also, normal stress is maximum at point P<sub>1<\/sub> and minimum at point P<sub>2<\/sub>. Hence these planes are principal planes and normal stresses on these planes are principal stresses.<\/p>\n<p style=\"text-align: justify;\">Therefore, Coordinates of point P<sub>1<\/sub> = (\u03c3<sub>1<\/sub>, 0)<br \/>\nCoordinates of point P<sub>2<\/sub> = (\u03c3<sub>2<\/sub>, 0)<br \/>\nAs stated earlier, angle between x-face of stress element and principal plane is \u03b8p<sub>1<\/sub>, therefore angle between radius CA(\u03b8 = 0) and point P is 2\u03b8<sub>P<\/sub>.<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2575 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/principal-stresses-.jpg\" alt=\"Principal Stresses \" width=\"822\" height=\"287\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/principal-stresses-.jpg 822w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/principal-stresses--300x105.jpg 300w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/principal-stresses--768x268.jpg 768w\" sizes=\"auto, (max-width: 822px) 100vw, 822px\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(c) Maximum Shear Stress<\/strong><\/p>\n<p style=\"text-align: justify;\">We know that plane of maximum shear stress is at 45\u00b0 to principal plane, therefore on Mohr\u2019s circle, plane of maximum shear stress will correspond to point S and S\u2032 which are at 90\u00b0 to principal planes.<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2576 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/shear-stress-1.jpg\" alt=\"Shear Stress\" width=\"551\" height=\"124\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/shear-stress-1.jpg 551w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/shear-stress-1-300x68.jpg 300w\" sizes=\"auto, (max-width: 551px) 100vw, 551px\" \/><\/p>\n<p style=\"text-align: justify;\">As derived earlier.<br \/>\nHence, we can find stresses on any inclined planes, principal stresses, principal planes, maximum shear stress by constructing Mohr\u2019s circle for stress element.<\/p>\n<p style=\"text-align: center;\"><a class=\"btn btn-danger\" role=\"button\" href=\"https:\/\/study.madeeasy.in\/ce\/strength-of-material\/simple-bending-or-pure-bending\/\" target=\"_blank\" rel=\"noopener\">&lt;&lt; Previous<\/a> | <a class=\"btn btn-success\" role=\"button\" href=\"https:\/\/study.madeeasy.in\/ce\/strength-of-material\/composite-beams\/\" target=\"_blank\" rel=\"noopener\"> Next &gt;&gt;<\/a><br \/>\n<strong> Must Read: <\/strong> <a href=\"https:\/\/study.madeeasy.in\/subjects\/what-is-strength-of-material\/\" target=\"_blank\" rel=\"noopener\"><strong>What is Strength of Material?<\/strong><\/a><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>(a) Principal Stress Consider a planar stress element subjected to normal and shear stress as shown below. Normal stress and<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[685,2],"tags":[707,708,709],"class_list":["post-2590","post","type-post","status-publish","format-standard","hentry","category-strength-of-material","category-ce","tag-mohr-circle","tag-normal-stresses","tag-shear-stress"],"_links":{"self":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/2590","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=2590"}],"version-history":[{"count":0,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/2590\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/media?parent=2590"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/categories?post=2590"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/tags?post=2590"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}