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Chapter 27

Energy Methods

Energía de deformación
Energía de deformación
Consider a rod fixed at one end and subjected to an axial force at the free end, which induces stress and leads to elongation in the rod.  As the ...
Densidad de energía de deformación
Densidad de energía de deformación
An axial load causes a rod to elongate, and store strain energy in it. The strain energy density in the rod is the energy per unit volume. Here, the ratio ...
Energía de deformación elástica para tensiones normales
Energía de deformación elástica para tensiones normales
When a material is subjected to an axial loading, it experiences normal stress, leading to strain energy generation. This equation is valid for uniformly ...
Energía de deformación elástica para esfuerzos de cizallamiento
Energía de deformación elástica para esfuerzos de cizallamiento
When the material is subjected to a shearing stress, the strain energy density can be expressed in integral form as the product of the shearing stress and ...
Carga de impacto
Carga de impacto
Consider a rod of uniform cross-sectional area fixed at one end. When another moving object hits the free end of the rod, the rod deforms, and stress is ...
Carga de impacto en una viga en voladizo
Carga de impacto en una viga en voladizo
Consider a cantilever beam fixed at one end, having a circular cross-section. If an object is dropped on the free end of the cantilever from a height h, ...
Teorema de Castigliano
Teorema de Castigliano
Castigliano's theorem is useful for determining displacements and rotations in structures undergoing elastic deformations. It states that the partial ...
Teorema de Castigliano: Resolución de problemas
Teorema de Castigliano: Resolución de problemas
Consider a simply supported beam PQ of length L, carrying a point load F at the center. What will be the deflection at the center of the beam? Here, the ...
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