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Shear Stresses in Beams, Yield Criteria and Stress/Strain Transformation (Module II)

This is the second module in the Mechanics of Materials Certificate Program. It is 100% Online.

Topics Covered

  • Shear stresses in different types of beams and shear stresses in thin walled members
  • Mohr’s circle for stress and strain, transformation of stresses and strains, principal stresses; different failure criteria
  • Design of transmission shafts

Course Outline

Session 1 - Shear Stresses in Beams

Shear on horizontal face of a beam
Shearing stresses in beams
Shearing stresses in common types of beams
Horizontal and longitudinal stresses in beams
Shearing stresses in thin walled members

Session 2 - Transformation of Stress and Strain 1

Normal stress only
Shear stress only
Transformation of Plane stress (normal and shear)
Mohr’s circle for Plane stress

Session 3 - Transformation of Stress and Strain 2

General state of stress
Mohr’s circle for 3-D state of stress
Yield criteria for ductile materials in Plane stress
Fracture criteria for brittle materials in Plane stress

Session 4 - Transformation of Stress and Strain 3

Stresses in pressure vessels
Transformation for Plane strain
Mohr’s circle for plane strain
Strain measurements, strain rosettes

Session 5 - Principal Stresses

Principal stresses in a beam
Design of transmission shafts
Stresses under combined loading