Understanding Elasticity: Stress and Strain Concepts in Statics

Dec 21, 2025

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This lecture covers the fundamental principles of elasticity, focusing on how solids can change dimensions through tensile stress, shearing stress, and hydrostatic stress. It emphasizes the relationship between stress (the deforming force per unit area) and strain (unit deformation), highlighting Hooke’s Law, which states that stress is proportional to strain. The discussion also includes various elastic moduli of materials, providing insight into their mechanical properties and behavior under different stress conditions.

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Understanding Elasticity: Stress and Strain Concepts in Statics

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Statics Problems and Elasticity Lecture 11 Thursday 19 February 2004

Elasticity • A solid may change its dimensions by three ways: • I Tensile Stress (Stretching) • II Shearing Stress • III Hydrostatic Stress • Stress (or deforming force)/unit area produces a Strain(or unit deformation) • Stresses and Strains Stress is proportional to Strain ( Hooke’s Law) Stress=Modulus x Strain