000 a
999 _c9149
_d9149
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040 _aAIKTC-KRRC
_cAIKTC-KRRC
100 _98949
_aSinghal, D.
245 _aLarge and Small Deflection Analysis of a Cantilever Beam
250 _aVol. 100(1), March
260 _aNew York
_bSpringer
_c2019
300 _a83-96p.
520 _aThis research focuses on the geometrically nonlinear large deflection analysis of a cantilever beam subjected to a concentrated tip load. Initially, a step-by-step development of the theoretical solution is provided and is compared with numerical analysis based on beam and shell elements. It is shown that the large deflections predicted by numerical analysis using beam elements accurately capture the theoretical results as compared to shell elements. Comparison of above deflections with theoretical and numerical approaches based on small deflection theory is also provided to show the extent of latter’s applicability. Finally, it is shown that for a linear elastic working range of common engineering metals, both small and large deflection approaches yield same results and one can adopt the simple small deflection approach for engineering design. It is highlighted that the theoretical approach of large deflection commonly available in design texts is valid only within the linear elastic strain limit and recommends a careful approach to designers. Further, the effect of parametric variation in geometry and stiffness of beam on large deflection, and resulting bending strains and tip reactions are analyzed and discussed.
650 0 _94621
_aCivil Engineering
700 _98950
_aNarayanamurthy, V.
773 0 _tJournal of the institution of engineers (India) Series A
_x2250-2149
_dDordrecht Springer
856 _uhttps://link.springer.com/article/10.1007/s40030-018-0342-3
_yClick here
942 _2ddc
_cAR