Course on Theory of Elasticity

  • Categories Mechanical
  • Duration 40h
  • Total Enrolled 0
  • Last Update March 15, 2020

About Course

Theory of elasticity is the branch of solid/continuum mechanics which deals with the displacements and stress in elastic deformable solid bodies produced by external forces or changes in temperature.


Theory of elasticity, also known as advanced mechanics of solids, is the branch of continuum mechanics which deals with the study/behaviour of deformable bodies. Theory of elasticity is an advanced subject in mechanical engineering and has also specific application in many other areas such as in health care/medical to understand the anatomy of living beings, dental prostheses and surgical implants. This basic study will be helpful for advance topics of solid mechanics such fatigue and fracture mechanics which deals with the initiation and propagation of cracks in solid materials. Thus, attending this course design engineers will gain theoretical knowledge of solid/continuum mechanics and solving methods in solid mechanics and interpret the results from the analysis.

What Will I Learn?

  • Gain fundamental knowledge of mechanics of deformable solids.
  • Understand the basic field equations of linear elastic solids, force, stress, strain and equilibrium in solids.
  • Examine the properties of deformable bodies and apply the basic concepts and theoretical laws and derived formulas in solving solid/structural mechanics problem.
  • Use analytical techniques to predict deformation, internal force and failure of simple solids and structural components.
  • Check the sufficiency of the strength, stiffness and stability of structural and machine elements.

Topics for this course

9 Lessons40h

Analysis of Stress

Analysis of Stress: Definition and notation of stress, Equations of equilibrium in differential form, Stresscomponents on an arbitrary plane, Equality of cross shear, Stress invariants, Principal stresses, Octahedral stress, Planes of maximum shear, Stress transformation, Plane state of stress, Mohr’s diagram for 3-dimensional state of stress.

Analysis of Strain

Stress – Strain Relations

Two-Dimensional classical elasticity

Investigation of Airy’s stress function

General equations in polar coordinates

Stress analysis in Axisymmetric body


Thermal stress

About the instructor

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53 Courses

2 students



  • The prerequisites required are basic knowledge of physics, mathematics, material science, and general mechanical engineering related topics.

Target Audience

  • Design Engineers/CAE Engineers/Engineers working in Mechanical, automotive, aerospace, railways, defence, nuclear energy, thermal power, wind, medical equipment, civil, electrical and electronics etc, and related Industry involving design analysis can participate.
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