I used analytical methods to find that the Young's moduli in wrap (0°) and fill (90°) direction of a carbon-fiber/epoxy twill are Ex=Ey=57 GPa.
This, however, means that, when rotating the twill by 45°, the Young's moduli will only be Ex=Ey =11Gpa, which is quite low. Are there any sources where the angular dependence of Young's modulus in carbon/epoxy 2x2 twills is discussed?