{"id":17830,"date":"2025-04-07T14:14:51","date_gmt":"2025-04-07T08:44:51","guid":{"rendered":"https:\/\/civileng.helashop.lk\/?page_id=17830"},"modified":"2025-04-07T14:14:59","modified_gmt":"2025-04-07T08:44:59","slug":"ce201","status":"publish","type":"page","link":"https:\/\/eng.pdn.ac.lk\/civileng\/ce201\/","title":{"rendered":"CE201"},"content":{"rendered":"\t\t
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Mechanics of Materials I - CE201 <\/h2><\/span><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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Credits : 3<\/p>

Prerequisites : GP110<\/p>

Compulsory\/Optional : Compulsory<\/p>
Aim(s)<\/th><\/tr><\/thead>
To introduce the fundamental concepts of mechanics of materials to provide basic approaches for analysis of various types of structural members subject to different loadings and their load combinations.<\/td><\/tr><\/tbody>
Intended Learning Outcomes<\/th><\/tr><\/thead>

On successful completion of the course, the students should be able to;<\/p>

  1. Identify different types of structural\/machine components along with corresponding boundary conditions and loading.<\/li>
  2. Apply the fundamental concepts of equilibrium, compatibility and constitutive relationships to analyse various elements subjected to external loads.<\/li>
  3. Evaluate internal resultant forces, stresses, displacements and strains of such elements.<\/li>
  4. Determine the state of stress and strain at a point under 2D plane stress conditions on any inclined plane and to determine the principal stresses and strains.<\/li><\/ol><\/td><\/tr><\/tbody>
Course content\/Course description<\/th><\/tr><\/thead>
  1. Introduction to mechanics of materials:<\/a> Concepts of stress and strain in 1D, normal and shear components, stress-strain relations, material constants: Young\u2019s modulus E, shear modulus G and Poisson\u2019s ratio v; strain energy<\/li>
  2. Basic sectional properties:<\/a> First moment of area, centroid, centroidal axes, second moments of area, radii of gyration, section moduli and polar moment of area; transformation of axes for second moment of area<\/li>
  3. Derivation of simple bending formula for a prismatic beam and estimation of direct stresses induced by bending<\/a><\/li>
  4. Composite sections, transformed section approach.<\/a><\/li>
  5. Calculation of deflection in statically determinate beams:<\/a> Differential equation approach and moment-area theorems of Mohr; statically indeterminate beam analysis<\/li>
  6. Estimation of shear stress variation in a beam section: <\/a>Jourawski\u2019s theory and Timoshenko beam theory; Shear flow and shear centre, compound beams, shear connectors<\/li>
  7. Derivation of torsion formula for circular shaft.<\/a><\/li>
  8. Transformation of 2D stress and strain: <\/a>Equilibrium equations and concept of Mohr\u2019s circle; Introduction to principal stresses, principal strains, maximum shear stress and strain, introduction to failure criteria.<\/li>
  9. 2D stress-strain relationship for isotropic linear elastic materials: <\/a>Relationship among Young\u2019s modulus E, shear modulus G and Poisson\u2019s ratio v, application of concept of 2D stress-strain<\/li>
  10. Introduction to 3D stress-strain relationship for isotropic linear elastic materials:<\/a> Bulk modulus K; relationship among Young\u2019s modulus E, shear modulus G, bulk modulus K and Poisson\u2019s ratio v<\/li>
  11. Buckling of ideal struts.<\/a><\/li><\/ol><\/td><\/tr><\/tbody>
Recommended Texts<\/th><\/tr><\/thead>
  1. Gere, JM, Goetsch, DE & Goodno, BJ 2010, Strength of Materials, 6th edn.<\/li>
  2. Hibbler, RC 2011, Mechanics of Material\u2019s 8th edn, Prentice Hall, London.<\/li>
  3. Timoshenko, SP and Young DH 2011. Elements of Strength of Materials, 5th edn, East-West Press.<\/li>
  4. Timoshenko, SP 2002, Strength of Materials Part 1 and 2, 3rd edn, CBS Publisher.<\/li><\/ol><\/td><\/tr><\/tbody><\/table>
    Time Allocation<\/th>Hours<\/th><\/tr><\/thead>
    Lectures<\/td>35<\/td><\/tr>
    Tutorials<\/td>7<\/td><\/tr>
    Practical<\/td>–<\/td><\/tr>
    Assignments<\/td>6<\/td><\/tr><\/tbody><\/table><\/div>
    \u00a0<\/div>
    Assessment<\/th>Percentage Marks<\/th><\/tr><\/thead>
    In-course<\/td><\/tr>
    Assignments\/Quizzes<\/td>20<\/td><\/tr>
    Mid Semester Examination<\/td>30<\/td><\/tr>
    End-semester<\/td>50<\/td><\/tr><\/tbody><\/table><\/div><\/div>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"

    Mechanics of Materials I – CE201 Credits : 3 Prerequisites : GP110 Compulsory\/Optional : Compulsory Aim(s) To introduce the fundamental concepts of mechanics of materials to provide basic approaches for analysis of various types of structural members subject to different … <\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-17830","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/pages\/17830","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/comments?post=17830"}],"version-history":[{"count":0,"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/pages\/17830\/revisions"}],"wp:attachment":[{"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/media?parent=17830"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}