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Chapter 25

Deflection of Beams

Verformung eines Balkens unter Querbelastung
Verformung eines Balkens unter Querbelastung
A crucial component in the design of beams is the identification and measurement of deflection. A comprehensive understanding of deflections is necessary ...
Gleichung der elastischen Kurve
Gleichung der elastischen Kurve
The plane curve's curvature at a point on the curve can be expressed using an expression involving the curve's first and second derivatives. The ...
Elastische Kurve aus der Lastverteilung
Elastische Kurve aus der Lastverteilung
When a beam carries a distributed load, the shear force and bending moment at any point on the beam can be expressed in a differential form. A third-order ...
Ablenkung eines Balkens
Ablenkung eines Balkens
The deflection of a beam in a roof structure can be determined using the integration method, provided that a single analytical function can represent the ...
Methode der Überlagerung
Methode der Überlagerung
The method of superposition is a crucial technique in structural engineering, used to analyze the effect of multiple loads on beams. This approach ...
Momentflächensätze
Momentflächensätze
The moment-area theorem provides geometric properties of an elastic curve for determining deflection and slope at any point on the beam supporting a ...
Balken mit symmetrischen Belastungen
Balken mit symmetrischen Belastungen
The Moment-area method can be implemented on a cantilever beam under a concentrated load and moment to identify the slope and deflection. The process ...
Balken mit unsymmetrischen Belastungen
Balken mit unsymmetrischen Belastungen
Analyzing a supported beam under unsymmetrical loadings requires a reference tangent with a known slope to identify the level point. The slope of the ...
Maximale Auslenkung
Maximale Auslenkung
Consider a train moving on a bridge. Here, an unsymmetrical load is applied to a supported beam where the maximum deflection doesn't usually occur in ...
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