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Chapter 27

Energy Methods

Dehnungsenergie
Dehnungsenergie
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 ...
Dehnungs-Energie-Dichte
Dehnungs-Energie-Dichte
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 ...
Elastische Dehnungsenergie bei Normalspannungen
Elastische Dehnungsenergie bei Normalspannungen
When a material is subjected to an axial loading, it experiences normal stress, leading to strain energy generation. This equation is valid for uniformly ...
Elastische Dehnungsenergie für Schubspannungen
Elastische Dehnungsenergie für Schubspannungen
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 ...
Stoßbelastung
Stoßbelastung
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 ...
Stoßbelastung eines Auslegers
Stoßbelastung eines Auslegers
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, ...
Satz von Castigliano
Satz von Castigliano
Castigliano's theorem is useful for determining displacements and rotations in structures undergoing elastic deformations. It states that the partial ...
Satz von Castigliano: Problemlösung
Satz von Castigliano: Problemlösung
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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