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Strength of Materials

How bars, shafts, beams and columns carry load: stress, strain, deformation and failure.

16 topics in the syllabus10 ready now (about 7h 25min of study)
Start with Normal and shear stress, strain

Unit 1Stress and Strain

  1. 1Normal and shear stress, strainDefinitions of stress and strain, Hooke's law and factor of safety.40 min
  2. 2The stress-strain diagramWhat a tensile test reveals: elastic limit, yield, ultimate strength and ductility.40 min
  3. 3Poisson's ratio and shear modulusLateral strain and the relationship between E, G and ν.Planned

Unit 2Axial and Torsional Loading

  1. 4Axial deformation of barsElongation of bars under axial load and temperature change.40 min
  2. 5Statically indeterminate barsUsing compatibility of deformation to solve for unknown forces.Planned
  3. 6Torsion of circular shaftsShear stress and angle of twist in solid and hollow shafts.45 min
  4. 7Power transmission by shaftsShaft sizing from power and rotational speed.Planned

Unit 3Beams

  1. 8Shear force and bending moment diagramsInternal forces in beams and how to draw V and M diagrams.55 min
  2. 9Bending stress: the flexure formulaStress distribution across a beam section and the role of I.45 min
  3. 10Shear stress in beamsThe VQ/Ib formula and where shear stress is largest.Planned
  4. 11Beam deflectionDeflection and slope of beams by double integration and standard cases.50 min
  5. 12Composite beamsTransformed-section method for beams of two materials.Planned

Unit 4Combined Loading and Stability

  1. 13Stress transformation and Mohr's circlePrincipal stresses, maximum shear stress and the graphical method.50 min
  2. 14Thin-walled pressure vesselsHoop and longitudinal stress in cylinders and spheres.35 min
  3. 15Buckling of columns (Euler)Critical load, effective length and slenderness ratio.45 min
  4. 16Theories of failureVon Mises and Tresca criteria for ductile materials.Planned