User:Eas4200c.f08.wiki.f/9-19-08

=9/19 Notes=

Stringers Continued from Earlier
Notes

Longeron - The term stringer is interchangeable with the term longeron. Longerons have the same purpose as stringers - the only differences are that longerons are usually larger, there are less of them, and they are spaced farther apart. (Reference - )

Shear Panels - Also known as brace panels. Together, shear panels make up a shear wall to support lateral loads on a structure. (Reference - )

Shear Stress and Strain
Shear Strain - γ - Strain that acts parallel to the face it's acting on. (Reference - )

τ = Gγ
 * (G = shear modulus)
 * (γ = shear strain - See above definition)

γ = du/dy + dv/dx = dux/dy + duy/dx
 * $$u \equiv u_x $$ - displacement along the x-direction
 * $$v \equiv u_y $$ - displacement along the y-direction

Shear Panels, Shear Stress and Strain, and Elasticity
Engineering (not tensorial) shear strain

γ = du/dy + dv/dx = dux/dy + duy/dx
 * Remember:
 * $$u \equiv u_x $$


 * $$v \equiv u_y $$



duy/dx = dv/dx
 * (for a small angle, $$ \alpha \cong \tan \alpha $$)

γ = change in the right angle (90 degrees) due to the shear deformation

εxy = tensorial shear strain

εxy = (1/2)γxy