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Descripción
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| The Euler-Bernoulli equation describing the de flection of a beam is a vital tool in structural and mechanical engineering. However, its derivation usually entails a number of intermediate steps that may confuse engineering or science students at the beginnig of their undergraduate studies. We explain how this equation may be deduced, beginning with an approximate expression for the energy, from which the forces and finally the equation itself may be obtained. The description is begun at the level of small particles, and the continuum level is taken later on. However, when a computational solution is sought, the description turns back to the discrete level again. We first consider the easier case of a string under tension, and then focus on the beam. Numerical solutions for several loads are obtained. | |
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Internacional
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Si |
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JCR del ISI
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Si |
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Título de la revista
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European Journal of Physics |
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ISSN
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0143-0807 |
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Factor de impacto JCR
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0,619 |
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Información de impacto
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Volumen
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37 |
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DOI
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Número de revista
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1 |
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1 |
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16 |
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Ranking
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