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Chapter 27

Energy Methods

Энергия деформации
Энергия деформации
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 ...
Плотность энергии деформации
Плотность энергии деформации
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 ...
Энергия упругой деформации при нормальных напряжениях
Энергия упругой деформации при нормальных напряжениях
When a material is subjected to an axial loading, it experiences normal stress, leading to strain energy generation. This equation is valid for uniformly ...
Энергия упругой деформации для напряжений сдвига
Энергия упругой деформации для напряжений сдвига
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 ...
Ударная нагрузка
Ударная нагрузка
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 ...
Ударная нагрузка на консольную балку
Ударная нагрузка на консольную балку
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, ...
Теорема Кастильяно
Теорема Кастильяно
Castigliano's theorem is useful for determining displacements and rotations in structures undergoing elastic deformations. It states that the partial ...
Теорема Кастильяно: решение проблем
Теорема Кастильяно: решение проблем
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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