Torsion (cont.) - Faculty of Aerospace Engineering

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Outline • Motivation and Background > Notation > Material properties > Non-homogeneous cross-section definition > Interlaminar conditions • The proposed analytical methodology > St. Venant’s Semi-Inverse methodology > The three auxiliary problems of plane deformation > The bending and torsion functions • Illustrative examples > Torsion > Bending • Concluding remarks Faculty of Aerospace Eng., Technion - I.I.T. 2
Motivation • Fiber-reinforced composite materials are extensively used in many engineering applications (civil and military aircraft, space, automotive, commercial, etc.), from replacement pieces to all-composite design. • Composite structures exhibit some profound advantages: > Specific strength and stiffness > Improved fatigue characteristics > Elastic coupling (for beams: “bending-twist”, “bending-extension” and “extension-twist”). Faculty of Aerospace Eng., Technion - I.I.T. 3
Page 1: Non-Homogeneous Composite Beams und
Page 5 and 6: Notation Tip loads Surface loads Bo
Page 7 and 8: Non-Homogeneous Cross-Section Defin
Page 9 and 10: The proposed analytical methodology
Page 11 and 12: Transverse Bending Force Effect ben
Page 13 and 14: The three auxiliary problems of pla
Page 15 and 16: Source of the Three Auxiliary Plane
Page 17 and 18: Displacement: Strain: Stress: Field
Page 19 and 20: Example: Torsion of Non-Homogenous
Page 21 and 22: Torsion (cont.) Stress component τ
Page 23 and 24: Bending of Non-Homogenous Beam y x
Page 25 and 26: Bending of Non-Homogenous Beam (con
Page 27 and 28: Bending of Non-Homogenous Beam (con
Page 29 and 30: Solution for Py x σ xx y x Py σ y
Page 31 and 32: Solution for Py (cont.) x τ yz y x

Torsion (cont.) - Faculty of Aerospace Engineering

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