Bending stress and the flexure formula, explained
Why beams carry the highest stress at the top and bottom fibres, and how M/I = σ/y = E/R lets you calculate it.
Subject
Strength of Materials
Stress, strain, bending, torsion, columns and combined stresses.
Column buckling: Euler's formula and effective length
Why slender columns fail by bending sideways long before they crush, and how end conditions change the buckling load.
Stress, strain and Hooke's law: the starting point of SOM
What stress and strain really mean, how Young's modulus links them, and how to find the elongation of a loaded bar.
Thin cylinders under pressure: hoop and longitudinal stress
Why pipes and tanks split along their length, and how to find the wall thickness of a pressure vessel.
Torsion of circular shafts: T/J = τ/r = Gθ/L
How twisting moment creates shear stress in a shaft, why hollow shafts are efficient, and how to size a shaft for power.