Name: load-deformation and stored strain energy
Uploaded: 2025-05-22T09:06:18.000Z
Duration: 1 min 13 s
Channel: JoVE

Considere una varilla fijada en un extremo y sometida a una fuerza axial en el extremo libre, que induce tensión y conduce a la elongación de la varilla. 
A medida que aumenta la fuerza axial, aumenta la elongación. El gráfico de la fuerza axial frente a la elongación da como resultado un gráfico de carga-deformación característico.
El trabajo realizado por la fuerza axial, a medida que la varilla se alarga en una pequeña cantidad, es el producto de la fuerza axial y el alargamiento correspondiente.
Este trabajo es igual al área debajo de la gráfica de deformación, cuyo ancho es igual a la pequeña deformación.
El trabajo total realizado se puede calcular integrando la ecuación dentro de los límites de elongación y es igual al área bajo la curva de carga-deformación dentro de los mismos límites de elongación.
El trabajo total realizado en la varilla representa la entrada de energía al sistema, conocida como energía de deformación.
Dentro del límite elástico, la fuerza axial es proporcional a la cantidad de elongación. Por lo tanto, la energía de deformación es proporcional al cuadrado de la elongación.

energía de tensión

Strain Energy

<div>
 La energía de deformación es un concepto fundamental en el campo de la ciencia de materiales y la ingeniería estructural, que describe la energía absorbida por un material o estructura cuando se deforma bajo carga.
 
 Considere una varilla fija en un extremo y sometida a una fuerza axial en el extremo libre. Esta fuerza axial induce tensión dentro de la varilla, lo que provoca su alargamiento. A medida que aumenta la fuerza axial, también aumenta el alargamiento de la varilla, lo que ilustra una relación directa entre la fuerza aplicada y la deformación resultante. Este comportamiento se puede representar gráficamente mediante un gráfico de carga-deformación.
 
 El trabajo realizado por la fuerza axial para alargar la varilla en una pequeña cantidad es igual al producto de la fuerza por el alargamiento correspondiente. Gráficamente, este trabajo corresponde al área bajo la curva carga-deformación para un alargamiento dado. Para calcular el trabajo total realizado sobre la varilla para cualquier alargamiento dado, se debe integrar la ecuación fuerza-alargamiento sobre los límites de alargamiento. Este trabajo total representa la entrada de energía al sistema, que se almacena como energía de deformación. Dentro del límite elástico del material, la energía de deformación U almacenada en el material debido a la deformación elástica es proporcional al cuadrado del alargamiento.
 
 <img alt="Equation 1" src="/files/ftp_upload/15682/15682_Equation_1.svg" style="text-align: center; height: 52px;">
 El concepto de energía de deformación permite a los ingenieros cuantificar la capacidad de absorción de energía de un material o componente, lo cual es esencial para evaluar su capacidad para soportar cargas sin sufrir deformaciones o fallas permanentes. La energía de deformación también desempeña un papel fundamental en diversas aplicaciones de ingeniería, como el diseño de amortiguadores, dispositivos de almacenamiento de energía y el análisis de fuerzas de impacto.
 
</div>

Energía de tensión

Considere una varilla fijada en un extremo y sometida a una fuerza axial en el extremo libre, que induce tensión y conduce a la elongación de la varilla.
Como el ...

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load-deformation and stored strain energy

Strain energy is the energy stored in a material when it deforms under load. It is a key idea in materials science and structural engineering. A loaded rod fixed at one end shows this clearly. When an axial force pulls on the free end, the rod stretches and stress builds inside it.

As the axial force increases, the rod elongates more. This creates a direct link between the applied force and the amount of deformation. Engineers can show this relationship with a load-deformation plot. The plot makes it easier to see how much the rod stretches at each load.

The work done by the axial force over a small elongation is the force multiplied by that elongation. On the graph, this work appears as the area under the load-deformation curve for a given elongation. To find the total work for any elongation, the force-elongation equation is integrated over the elongation limits. That total work is the energy put into the system, and it is stored as strain energy.

Within the elastic limit of the material, the strain energy stored in the rod is proportional to the square of the elongation. This means the stored energy rises as the deformation increases, as long as the material still behaves elastically. Knowing strain energy helps engineers judge how much energy a material or component can absorb before permanent deformation or failure. It is also useful in shock absorbers, energy storage devices, and impact force analysis.

Load-Deformation and Stored Strain Energy

load-deformation-and-stored-strain-energy

strain energy

Strain energy is the energy stored in a material when it deforms under load. It is a key idea in materials science and structural engineering. A loaded rod fixed at one end shows this clearly. When an axial force pulls on the free end, the rod stretches and stress builds inside it. As the axial force increases, the rod elongates more. This creates a direct link between the applied force and the amount of deformation. Engineers can show this relationship with a load-deformation plot. The plot...

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Beam deflection from a central load can be found with Castigliano's theorem. The method applies to a simply supported beam with a point load at the center. It links the deflection at the load point to the strain energy stored in the beam. For this beam, the supports share the load equally. Each support carries half of the force. The bending moment at any point along the beam comes from these reactions and is written using the distance from the nearest support. Castigliano's theorem says the...

key terms and concepts

Explore how load creates deformation in a rod, how work becomes stored strain energy, and why this matters in shock absorbers and impact analysis.

Load-Deformation and Stored Strain Energy | JoVE K12

JoVE Core Mechanical Engineering offers concise, easy-to-understand animated videos covering key topics such as equilibrium, forces, truss analysis, and structural mechanics. Explore their real-world applications, and witness these concepts in action through scientist-led experiments.

mechanical engineering

Load-Deformation and Stored Strain Energy

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