Application of Equivalent Stiffness to Consider Coupling Effects in Bimodular Beam
Amrendra Kumar1, Nasir Hasan Sk2, Kallol Khan3

1Amrendra Kumar, Research Scholar, Department of Mechanical Engineering, NIT Durgapur, India.
2Nasir Hasan Sk, Research Scholar, Department of Mechanical Engineering, NIT Durgapur, India.
3Kallol Khan, Associate Professor, Department of Mechanical Engineering, NIT Durgapur, India.

Manuscript received on 26 August 2019. | Revised Manuscript received on 03 September 2019. | Manuscript published on 30 September 2019. | PP: 1811-1819 | Volume-8 Issue-11, September 2019. | Retrieval Number: K17780981119/2019©BEIESP | DOI: 10.35940/ijitee.K1778.0981119
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Abstract: In bimodular material (different elastic properties in tension and compression) beam, shear-extension, twisting-stretching, bending-twisting coupling are present irrespective of stacking sequence, ply-angle unlike unimodular materials. The presence of these coupling parameters can affect transverse deflection when beam is subjected to pure bending. In this paper an attempt is made to take consideration of these coupling by implementing equivalent stiffness methods along with classical beam theory. The objective is to find out the effects of these couplings on transverse deflections, neutral surface positions and on stress and strain distribution throughout the thickness of the beam. Transverse deflection, neutral surface position, through the thickness stress and strain distribution are obtained for simply supported and clamped-clamped boundary conditions. The analysis shows that results obtained for neutral surface position, positive and negative half cycle frequencies, transverse deflection and even strain, strain distribution through the thickness by considering the coupling parameters are different from the results obatained by neglecting the couplings.
Keywords: Bimodular beam, Laminated composite, Equivalent stiffness, Coupling
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