Advanced Mechanics of Materials and Applied Elasticity

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Equation of Advanced Mechanics of Materials and Applied Elasticity[edit]

REDIRECT User:Oh_Isaac

Chapter 1:Analysis of Stress[edit]

three-dimensional state of stress[edit]

prismatic bars of linearly elastic material[edit]

  • axial loading
  • torsion
  • bending
  • shear
vertical shear force from bending force.
moment of inertia about neutral axis(N.A.).
polar moment of inertia of circular cross section.
distance from the center of torque to the point.
first moment about N.A. of the area beyond the point at which \tau_{x,y} is calculated.

thin-walled pressure vessels[edit]

  • cylinder
  • sphere
tangential stress in cylinder wall.
axial stress in cylinder wall.
membrane stress in sphere wall.
internal pressure.
wall thickness.
mean radius.

axially loaded members[edit]

differential equations of equilibrium[edit]

plane-stress transformation[edit]

(2-dimensional stress, neglect the stress in the z coordinate.)

Stress tensor


principal stresses in plane[edit]