{"id":13619,"date":"2013-02-05T11:10:47","date_gmt":"2013-02-05T05:40:47","guid":{"rendered":"http:\/\/www.kopykitab.com\/blog\/?p=13619"},"modified":"2013-02-05T11:10:47","modified_gmt":"2013-02-05T05:40:47","slug":"iit-guwahati-solid-mechanics-ii-syllabus","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/iit-guwahati-solid-mechanics-ii-syllabus\/","title":{"rendered":"IIT Guwahati Solid Mechanics-II Syllabus"},"content":{"rendered":"<h1 style=\"text-align: center;\"><strong>IIT Guwahati Solid Mechanics-II Syllabus\u00a0<\/strong><\/h1>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center;\"><strong><span style=\"text-decoration: underline;\">ME 223. Solid Mechanics &#8211; II (3-0-0-6)<\/span><\/strong><strong>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/strong><strong>\u00a0\u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0\u00a0 \u00a0 \u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0 \u00a0 \u00a0 \u00a0<\/strong><\/p>\n<p><strong><em>Pre-requisite: ME 212 or equivalent.<\/em><\/strong><\/p>\n<p>Analysis of stresses: 3D state of stress at a point; principal stresses; invariants; 3D Mohr\u2019s circle; octahedral stresses; hydrostatic and pure shear stresses. Differential equations of equilibrium in rectangular and polar coordinates. Boundary conditions. Saint-Venant\u2019s principle, Principle of superposition. Analysis of strains: 3D strain components in rectangular and polar coordinates; state of strain at a point; principal strains; strain deviators and invariants. Compatibility conditions in rectangular and polar coordinates. Constitutive relations. Boundary value problems: Stress formulation and displacement formulation; Beltrami-Michell equations and Navier\u2019s equations. Methods of solution and uniqueness of solution. Plane problems: Plane stress and plane strain problems. Airy stress function. 2D problems in rectangular and polar coordinates and axisymmetric problems: Cantilever beam with end load; uniformly loaded beam; thick and thin walled cylinders; rotating discs and cylinders; plate with a circular hole. Curved beams. Torsion of non-circular bars: Saint-Venant\u2019s semi-inverse method; Prandtl\u2019s stress function method. Unsymmetrical bending, shear center and shear flow. Energy methods: Principle of virtual work; minimum potential energy; statically indeterminate systems. Elastic stability: Analysis of beam columns. Yield and Fracture criteria: Different failure theories; stress space and strain space; yield surfaces. Introduction to plasticity.<\/p>\n<p><strong>Textbooks:<\/strong><\/p>\n<p>[1] S. P. Timoshenko and J. N. Goodier,\u00a0<em>Theory Of Elasticity<\/em>, McGraw Hill International, 2010<br \/>\n[2] L. S. Srinath,\u00a0<em>Advanced Mechanics Of Solids<\/em>, Tata McGraw-Hill, 2008.<\/p>\n<p><strong>References:<\/strong><\/p>\n<p>[1] M. H. Sadd,\u00a0<em>Elasticity: Theory, Applications And Numerics<\/em>, Elsevier, 2005.<br \/>\n[2] S. H. Crandall, N. C. Dahl and T. J. Lardner,\u00a0<em>An Introduction To The Mechanics of Solids<\/em>, 2nd Ed., Tata McGraw Hill, 2008.<br \/>\n[3] S. P. Timoshenko,\u00a0<em>Strength Of Materials<\/em>,\u00a0<em>Vols. 1 and 2<\/em>, CBS Publishers, 1986.<br \/>\n[4] H. Shames and J. M. Pitarresi,\u00a0<em>Introduction To Solid Mechanics<\/em>, Prentice Hall of India, 2003.<br \/>\n[5] A. C. Ugural and S. K. Fenster,\u00a0<em>Advanced Strength And Applied Elasticity<\/em>, 3rd Ed., Prentice Hall, 1994.<br \/>\n[6] A. P. Boresi, R. J. Schmidt and O. M. Sidebottom,\u00a0<em>Advanced Mechanics Of Materials<\/em>, 5th Ed., John Wiley, 1993.<br \/>\n[7] Y.C. Fung,\u00a0<em>Foundations of Solid Mechanics<\/em>, Prentice-Hall, 1965<\/p>\n","protected":false},"excerpt":{"rendered":"<p>IIT Guwahati Solid Mechanics-II Syllabus\u00a0 &nbsp; ME 223. Solid Mechanics &#8211; II (3-0-0-6)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0\u00a0 \u00a0 \u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0 \u00a0 \u00a0 \u00a0 Pre-requisite: ME 212 or equivalent. Analysis of stresses: 3D state of stress at a point; principal stresses; invariants; 3D Mohr\u2019s circle; &#8230; <a title=\"IIT Guwahati Solid Mechanics-II Syllabus\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/iit-guwahati-solid-mechanics-ii-syllabus\/\" aria-label=\"More on IIT Guwahati Solid Mechanics-II Syllabus\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[4927,1],"tags":[],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/13619"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=13619"}],"version-history":[{"count":0,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/13619\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=13619"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=13619"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=13619"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}