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.
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]