Strength of Materials
Every design check in mechanics of solids compares a stress you calculated with a stress the material can take. These topics animate both halves: where the stress comes from, and where the limit comes from.
Start from the beginning →1 topic you can watch now, 24 still to come.
Stress and strain
The two quantities the rest of the subject is written in.
- Types of stress and strain
- Hooke's law and elastic constants
- Poisson's ratio and volumetric strain
- Bars of varying section and composite bars
- Thermal stresses
- Strain energy and impact loading
Shear force and bending moment
Where along the beam the load is actually being carried.
- Types of beams, supports and loads
- SF and BM diagrams for cantilevers and simply supported beams
- Point of contraflexure
- Relation between load, shear and moment
Bending and shear stresses
Turning a bending moment into a stress at a point.
- Theory of simple bending
- Section modulus and moment of inertia
- Shear stress distribution across a section
- Beams of composite section
Deflection of beams
Not breaking is not enough — it also has to stay put.
- Double integration method
- Macaulay's method
- Moment area and conjugate beam methods
- Deflection by strain energy
Torsion, columns and combined stress
Twisting, buckling, and the states in between.
- Torsion of circular shafts
- Power transmitted by a shaft
- Springs
- Euler and Rankine column theory
- Principal stresses and Mohr's circle
- Thin and thick cylinders