Advanced Mechanics of Materials and Applied Elasticity

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Subject classification: this is an engineering resource.
Subject classification: this is a physics resource.

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

REDIRECT User:Oh_Isaac

Chapter 1:Analysis of Stress[edit | edit source]

three-dimensional state of stress[edit | edit source]

prismatic bars of linearly elastic material[edit | edit source]

  • axial loading
  • torsion
  • bending
  • shear
torque.
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 | edit source]

  • 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 | edit source]

differential equations of equilibrium[edit | edit source]

plane-stress transformation[edit | edit source]

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

Stress tensor

constant.

principal stresses in plane[edit | edit source]