Lecture Notes

Plane Strain

plane strain

when ε_z = γ_xz = γ_yz = 0

occurs when the front and rear faces of an element are fully restrained against displacement

occurs at the centerline under wall footings and other long, narrow structures (zero strain in length direction of footing)

comparison of plane stress and strain

strain gage

an electrical-resistance device for measuring normal strains on the surface of a stressed object

strain rosette

a group of gages arranged in a particular pattern

Transformation Equations for Plane Strain

The transformation equations for plane stress can also be used for the stresses in plane strain.
The transformation equations for plane strain can also be used for the strains in plane stress.

Principal Strains

The principal stresses and strains occur in the same directions.

Maximum Shear Strains

Mohr's Circle for Plane Strain

plane strain when ε_z = γ_xz = γ_yz = 0 occurs when the front and rear faces of an element are fully restrained against displacement occurs at the centerline under wall footings and other long, narrow structures (zero strain in length direction of footing) comparison of plane stress and strain