Semester:

2

Course Code:

CE1130

Course Name:

Mechanics of Materials

Credit Value:

3 (Notional hours: 150)

Pre-requisites:

None

Core/Optional

Core

Hourly Breakdown

Lecture hrs.

Tutorial hrs.

Practical hrs.

Assignment hrs.

Independent Learning & Assessment hrs.

30

-

-

30

90

Course Aim: To introduce the fundamental concepts of mechanics of materials to provide basic approaches for analysis of various types of structural members subjected to different loadings and their combinations.

Intended Learning Outcomes:

➢    Identify different structural elements along with corresponding boundary conditions and loading.

➢    Apply the fundamental concepts of equilibrium, compatibility and constitutive relationships in deriving the governing differential equations.

➢    Evaluate internal resultant forces, stresses, strains and displacements for designing of the members.

➢    Analyze the state of stress and strain in 2D plane stress and plane strain conditions.

Course Content: (Only main topics & subtopics)

➢    Torsion of a circular member: Derivation of torsion formula and its applications; non-uniform torsion; stresses and strains in pure shear; analysis of statically indeterminate torsional members.

➢    Review of symmetrical bending of prismatic beams: Analysis of statically determinate beam structures (Bending moment and shear force diagrams); Euler-Bernoulli beam theory and its applications; doubly symmetric beams with inclined loads (bi-directional bending of beam).

➢    Design of beams for bending: Allowable stress design principle.

➢    Analysis of composite beams: The method of transformation of section.

➢    Deflection of beams: Derive the governing differential equation of beam bending; deflection of statically determinate beams by solving the governing differential equation in closed form, moment-area theorems of Mohr; statically indeterminate beam analysis.

➢    Shear stress in beams of different sections: Jourawski’s theory in deriving the shear formula; built-up beams and shear flow.

➢    Bending of unsymmetrical beams: The shear-center concept; shear stresses in beams of thin- walled open cross sections.

➢    Analysis of stress and strain: Plane stress and plane strain concepts; Transformation of 2-D stress and strain: equilibrium equations and concept of Mohr’s circle; The principal stresses, principal strains, maximum shear stress and strain; Hooke’s law for plane stress; Introduction to failure criteria.

➢    Applications of plane stress: Pressure vessels, beams under combined loadings.

➢    Eccentric loading in a short column and buckling of a slender column: Axial stress distribution under the combined loading of axial force and bending moment; Euler’s column formula and critical load.

Teaching /Learning Methods:

Lecture, tutorials, demonstrations

Assessment Strategy:

Continuous Assessment

50%

Final Assessment
50%

Details:

Quizzes 25%

Mid semester examination 25%

Theory

50%

Practical (%)

Other (%) (specify)

Recommended Reading:

➢    Gere, JM and Goodno, BJ 2009, Mechanics of Materials, 7th edition, Cengage Learning

➢    Hibbeler, RC 2014, Mechanics of Material’s 9th edition, Prentice Hall, London.

➢    Timoshenko, SP and Young, DH 2011, Elements of Strength of Materials, 5th edition, East-West Press.

➢    Timoshenko, SP 2002, Strength of Materials Part 1 and 2, 3rd edition, CBS Publisher.