Research Article Mathematical Modelling and Bending Analysis of Beams
DOI:
https://doi.org/10.54060/a2zjournals.jmce.62Keywords:
Euler-Bernoulli beam, cross-sections, finite element method, Hermites shape functionsAbstract
In this communication finite element formulation of Euler-Bernoulli beam is done considering Hermites shape functions and illustrated the calculation of stiffness matrix, mass matrix and force vector in detail. Here, considered the various cross-section of beams such as trapezoidal, rectangular, circular, triangular, etc under various loading and boundary conditions to investigate the effect of transverse deflection, shear force and bending moment with change in cross-section of beams by using finite element method based commercial software ANSYS 18.1. Here, present numerical results are validated with analytical results of beams with different cross-sections, loading and boundary conations.
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Copyright (c) 2021 Emarti Kumari, Brajesh Choudhary
This work is licensed under a Creative Commons Attribution 4.0 International License.
