{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Sameer_Beam_Theory

# Sameer_Beam_Theory - A Beam Theory for Laminated Composites...

This preview shows pages 1–6. Sign up to view the full content.

A Beam Theory for Laminated Composites and Application to Torsion Problems Dr. Bhavani BhavaniV. V. Sankar Sankar Presented By: Sameer Luthra EAS 6939 – Aerospace Structural Composites 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Introduction Composite beams have become very common in applications like Automobile Suspensions, Hip Prosthesis etc. Unlike beams of Isotropic materials, Composite beams may hibi li b exhibit strong coupling between: Extensional Flexural & Twisting modes of Deformation. There is a need for simple and efficient analysis procedures f C i b lik for Composite beam like structures. 2
Beam Theories EULER-BERNOULLI BEAM THEORY Assumptions: 1. Cross-sections which are plane & normal to the longitudinal axis remain plane and normal to it after deformation . 2. Shear Deformations are neglected . 3. Beam Deflections are small . f f i f Euler-Bernoulli eq. for bending of Isotropic beams of constant cross-section: where: w(x): deflection of the neutral axis q(x): the applied transverse load 3

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Beam Theories TIMOSHENKO BEAM THEORY Basic difference from Euler-Bernoulli beam theory is that from Euler Bernoulli beam theory is that Timoshenko beam theory considers the effects of Shear and also of Rotational Inertia in the Beam Equation. So physically, Timoshenko’s theory effectively lowers the stiffness of beam Timoshenkos theory effectively and the result is a larger deflection . Timoshenko’s eq. for bending of Isotropic beams of constant ti cross-section: where: A: Area of Cross-section G: Shear Modulus : Shear Correction Factor 4
Beam Theories TIMOSHENKO BEAM THEORY(Contd….) Shear Correction Factor Timoshenko Defined it as: Significance of Shear Correction Factor : Multilayered plate and Shell finite elements have a constant shear distribution across thickness . This causes a decrease in accuracy especially for sandwich structures. This problem is overcome using shear correction factors .

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 16

Sameer_Beam_Theory - A Beam Theory for Laminated Composites...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online