Mechanics of Materials I

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

None

Course Contents

Introduction to strength of materials and general principles. State of stress and stress tensor. Definition of stress types. Ultimate and allowable stresses. The concept of strain and strain types. Introduction to linear elastic theory. Hooke's Law. Deformation of axially loaded members. Principle of superposition. Analysis of statically indeterminate axially loaded members. Analysis of members involving temperature changes. Mechanical properties of materials, elastic constants and relations between them. Torsion. Torsional stresses and angles of twist of circular and noncircular cross-sections. Torsion statically indeterminate shafts. Pure bending. Stresses and deformations in prismatic members under pure bending. Bending of members made of several materials. Eccentric loading and unsymmetric bending. General case of eccentric axial loading. Shear. Shearing stresses in transversely loaded beams. Shear stresses in thin walled members. Stresses under combined loadings. Transformation of stress. Principal axes - principal stresses. Maximum shearing stress. Mohr's circle for plane stress. Yield criteria. Introduction to elastic stability. Euler's elastic buckling theory. Buckling of columns with various boundary conditions.

Weekly Schedule

1) Concept of stress, normal stress, shear stress, bearing stress, stresses on oblique planes
2) Stress tensor, factor of safety, concept of strain, normal strain, modulus of elasticity, Hooke's law
3) Elongation of prismatic bars with constant or variable cross sections, principle of superposition, solution of statically indeterminate problems, problems involving temperature changes
4) Poisson's ratio, generalized Hooke's law, Dilatation and Bulk modulus, shear strain, St Venant's principles
5) Torsion, deformation of circular shafts, stresses in elastic region, stresses in an oblique plane, twisting angles in elastic region
6) Statically indeterminate shafts, torsion of thin walled hollow members, torsion of noncircular sections, pure bending, flexural deformations in a symmetrical member.
7) Flexural stresses and deformations in elastic region, bending of members with composite sections, bending of reinforced concrete beams
8) Midterm examination/Assessment
9) Eccentric loading, unsymmetrical bending, general case of eccentric axial loading
10) Transverse loading, shear stresses in beams, shear stress distributions
11) Shear on arbitrary longitudinal cut, shear stresses in thin walled sections
12) Stresses under general combined loading
13) Transformation of plane stress, principal planes - principal stresses, maximum shearing stress
14) Failure hypotheses, maximum shearing stress criterion, maximum distortion energy criterion, columns
15) Euler formula for pin-ended columns, effective buckling lengths
16) Final examination

Recommended or Required Reading

Planned Learning Activities and Teaching Methods

1) Lecture
2) Question-Answer
3) Lab / Workshop
4) Self Study
5) Problem Solving

Assessment Methods and Criteria

Contribution of Midterm Examination to Course Grade	40%
Contribution of Final Examination to Course Grade	60%
Total	100%

Language of Instruction

English

Work Placement(s)

Not Required