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Chapter 19

Torsion

Spannungen in einer Welle
Spannungen in einer Welle
A shaft PQ is twisted when subjected to equal and opposite torques on either side. Consider a section perpendicular to the shaft's axis through an ...
Verformung in einer kreisförmigen Welle
Verformung in einer kreisförmigen Welle
A unique property of circular shafts is that under torsion, every cross-section remains plane and undistorted, rotating as a solid rigid slab. To ...
Kreisförmige Welle – Spannung im linearen Bereich
Kreisförmige Welle – Spannung im linearen Bereich
Consider a case when the torque applied to the circular shaft is within Hooke's law limit, so there is no permanent deformation. Now, recall the ...
Verdrehungswinkel – elastischer Bereich
Verdrehungswinkel – elastischer Bereich
Consider a circular shaft of length L and a uniform cross-section of radius r subjected to a torque at its free end. The maximum shearing strain in the ...
Verdrehungswinkel – Problemlösung
Verdrehungswinkel – Problemlösung
The electric motor exerts a 700 N-m torque on an aluminium shaft, causing it to rotate at a constant speed. Pulleys B and C experience torques of 300 N-m ...
Konstruktion von Getriebewellen
Konstruktion von Getriebewellen
The design specifications required for a transmission shaft are the power transmitted by the shaft and its rotation speed. Based on these specifications, ...
Spannungskonzentrationen in kreisförmigen Wellen
Spannungskonzentrationen in kreisförmigen Wellen
Recall the elastic torsion formula, applicable to a circular shaft with a uniform cross-section. Here, it is assumed that the shafts are loaded at their ...
Plastische Verformung in kreisförmigen Wellen
Plastische Verformung in kreisförmigen Wellen
When materials are subjected to stresses exceeding their yield strength, plastic deformation occurs, causing a permanent strain. In the case of circular ...
Kreisförmige Wellen – Elastoplastische Materialien
Kreisförmige Wellen – Elastoplastische Materialien
Within the elastic limit, the maximum stress in a solid circular shaft varies linearly with a radial distance from its axis. As the torque increases, the ...
Eigenspannungen in kreisförmigen Wellen
Eigenspannungen in kreisförmigen Wellen
In elastoplastic materials, residual stress can develop when the material undergoes plastic deformation due to high shearing stress or large strains. When ...
Torsion nicht kreisförmiger Elemente
Torsion nicht kreisförmiger Elemente
During torsional loading, the cross-sections of the circular shafts remain plane and undistorted since they are axis-symmetric. However, due to the lack ...
Dünnwandige Hohlwellen
Dünnwandige Hohlwellen
Consider a small portion of width 'dx' from a thin-walled hollow shaft of thickness 't' subjected to torsional loading. Since the portion ...
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