About Introduction - Strength of Materials

Lecture - 22 Bending of Beams - I Poisson's Ratio and Shear Modulus in Strain Analysis of Mechanics of Materials Statically Indeterminate Systems and Compatibility Equations in Strength of Materials Stress Equilibrium Equations in Polar Coordinates for Axisymmetric Bodies Stress Transformation and Mohr's Circle for Plane Stress in Mechanics of Materials Principal Stresses and Stress Invariants from Cauchy's Stress Formula in Strength of Materials Principal Stresses from Combined Axial Torsional and Bending Loads in Mechanics of Materials Stress and Strain in Thin-Walled Spherical Pressure Vessels Differential Equation of the Elastic Curve for Beam Deflection in Strength of Materials Moment Area Theorems for Beam Slope and Deflection in Structural Mechanics Shear Stress in Circular and I-Section Beams in Mechanics of Materials Stress and Deflection in Open Coil Helical Springs Thermal Stress and Misfit Pre-Strain in Compound Bars Torsion of Hollow Circular Shafts in Mechanics of Materials Strain Rosettes and Elastic Constants in Strength of Materials Beam Bending & Shear Diagrams Stress Components and Equilibrium Equations in Strength of Materials Plane Strain Transformation Equations and Principal Strains in Solid Mechanics Relating Load Intensity to Shear Force and Bending Moment in Beams Thermal Strain and Thermal Stresses in Statically Indeterminate Systems in Strength of Materials Constitutive Relations Beam Deflection by the Elastic Curve Equation and Superposition in Structural Mechanics Combined Stresses in Pressure Vessels Under Internal Pressure Axial Load and Torsion Limits of Euler Buckling Load and Rankine's Formula for Intermediate Columns Octahedral Normal and Shear Stresses in Strength of Materials Efficiency of Hollow Versus Solid Circular Shafts Under Torsion and Power Transmission Torque Transmission in Internal Combustion Engines Volumetric Strain in Thin-Walled Cylindrical and Spherical Pressure Vessels Shear Stress and Deflection in Closed Coil Helical Springs Principal Strains and Mohr's Circle of Strain in Strength of Materials Flexure Equation for Bending Stress in Beams under Pure Bending in Mechanics of Materials Moment Area Method for Deflection of Non-Prismatic Beams with Variable Moment of Inertia Combined Stresses from Axial Load and Bending in Structural Members Hoop and Longitudinal Stress in Thin-Walled Cylindrical Pressure Vessels Statically Indeterminate Torsion of Circular Shafts Using Compatibility Equations Deriving the Shear Formula τ = VQ/Ib for Shear Stress in Rectangular Beams Bending Stress and Section Modulus in Beams with Unsymmetrical Cross-Sections Column Buckling & Euler's Formula