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Introduction to Unit 1

Representation of stress

Equilibrium equations & Plane stress

Stresses on inclined planes

Principal stresses

Mohr's circle of stress

Problems on stress

Strain-displacement & Stress-strain relationship

Compatibility equations

Problems

Introduction to Unit 2 & Castigliano's theorem

Strain energy due to axial, bending & torsional load

Method of strain energy - part 1

Method of strain energy - part 2

Method of strain energy - part 3

Method of strain energy - part 4

Method of strain energy - part 5

Concept of virtual work

Unit load method - part 1

Unit load method - part 2

Unit load method - part 3

Introduction to Unit 3

Normal stress due to bending

Problems (Bending moment)

Approximations for thin walled sections

Theory of shear flow and shear center

Problem (Shear flow distribution)

Calculation of shear center - part 1

Calculation of shear center - part 2

Torsion of thin-walled sections

Problems (Torsion of thin-walled sections)

Column analysis - End conditions, Euler's theory, limitations & curve and Rankine formula

Column analysis - Eccentric loading, Initial curvature & South well plot

Fatigue analysis - Fatigue limit, modes of crack, safe life & fail safe structures

Fatigue analysis - Prediction of aircraft fatigue life