- #1
ralden
- 85
- 0
Given only the triaxial stresses: ax = 10 MPa (along [100]), ay = 10 MPa (along [010]), and ax = -30 MPa (along [001]), what is now the components of stresses in rotated axis?
so based on the equation
aT = [L][a][LT]
let aT the components of stress of rotated axis, L the direction cosine, LT the inverses of direction cosine and a is the component of stresses in unrotated axis.
we can determine a, but we can't determine L or LT because there's no angle of rotation given or shear stress given. since L is equal to
Lxx = (e'x)*(ex)*(cos(theta))
Lxx is the component of L along x and x', and theta is the angle between the rotated axis and unrotated axis
so now, how can i determine the stress in rotated axis?
so based on the equation
aT = [L][a][LT]
let aT the components of stress of rotated axis, L the direction cosine, LT the inverses of direction cosine and a is the component of stresses in unrotated axis.
we can determine a, but we can't determine L or LT because there's no angle of rotation given or shear stress given. since L is equal to
Lxx = (e'x)*(ex)*(cos(theta))
Lxx is the component of L along x and x', and theta is the angle between the rotated axis and unrotated axis
so now, how can i determine the stress in rotated axis?