What is the stress of the rotated axis

[ralden]

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?

 

[Chestermiller]

Is this a homework problem? If so, please state the problem exactly.