Normal Stress and Deformation - Mechanics of Deformable Bodies (Strength of Materials)

Introduction to Stress, Strain, and Deformation00:00:00

Introduction to strength of materials concepts, defining normal stress as force per unit area (P/A) and its unit in pascals. Discusses the relationship between tension and compression, the concept of deformation, and Hooke's Law.

Mathematical Formulas and Mnemonics00:04:32

Explains the modulus of elasticity (E) and the deformation formula (delta = PL/AE). Provides helpful mnemonics for memorizing the formula, such as 'Praise the Lord anywhere everywhere' or 'Let's play'.

Problem Solving: Normal Stresses00:06:40

A practical example involving a metal bar with three distinct parts (AB, BC, CD) under different forces. Demonstrates how to use free-body diagrams (FBD) to find internal forces and calculate the normal stress in each section.

Problem Solving: Calculating Total Deformation00:19:36

Calculates the individual deformation for sections AB, BC, and CD using the formula delta = PL/AE with a given modulus of elasticity of 70 GPa, and sums them to determine the total elongation of the bar.