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Chapter 27

Chapter 27

Energy Methods

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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 …
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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 …
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When a material is subjected to an axial loading, it experiences normal stress, leading to strain energy generation. This equation is valid for uniformly …
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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 …
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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 …
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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, …
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Castigliano's theorem is useful for determining displacements and rotations in structures undergoing elastic deformations. It states that the partial …
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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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Cruisers are multi-occupant solar vehicles that are conceived to compete in long-range (over 3,000 km) solar races based on the best compromise between …
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The electro-hydrostatic actuator (EHA) is a promising actuating apparatus used in flight control systems for more electric aircraft (MEA) due to its high …
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In this study, methods for the mechanoluminescent (ML) visualization of crack propagation and mechanical behavior to evaluate adhesive joints are …