Calculator for Stiffness and Compliance of Lamina
 Lamina Stiffness and Compliance Calculator
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Given the material properties of a unidirectional lamina, this calculator constructs the stiffness matrix [C] and the compliance matrix [S] of the lamina in the principal directions.

If the angle of rotation of the lamina is given (other than 0 degree), this calculator also constructs the stiffness matrix [] and the compliance matrix [] in the rotated directions.

Input

Unit
Unit of Stiffness:
Material Properties
Material:

If the material is not in the list, please select 'Custom' and enter the data.

 Material: Young's Modulus along Fibers E1 : Young's Modulus Normal to Fibers E2 : Shear Modulus G12 : Poisson's Ratio 12 :

Angle of Rotation
Rotating Angle : degree
(0 degree is the principal direction)

Stress-Strain Relations for Lamina for Principal Directions

The stiffness matrix [C] in the principal directions is

 [C] =

The compliance matrix [S] in the principal direction is

 [S] =

Coordinate Transformation Matrix

 [T] =

Stiffness and Compliance Matrices for Angled Lamina

The stiffness matrix for a lamina of arbitry orient can be expressed in terms of the stiffness matrix in the principal direction,

 [] =

The complicance matrix for a lamina of arbitry orient can be obtained in a similar manner.

 [] =