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Chapter 19

Torsion

Напряжения в валу
Напряжения в валу
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 ...
Деформация круглого вала
Деформация круглого вала
A unique property of circular shafts is that under torsion, every cross-section remains plane and undistorted, rotating as a solid rigid slab. To ...
Круглый вал – напряжение в линейном диапазоне
Круглый вал – напряжение в линейном диапазоне
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 ...
Угол поворота – диапазон упругости
Угол поворота – диапазон упругости
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 ...
Угол поворота – решение проблем
Угол поворота – решение проблем
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 ...
Проектирование трансмиссионных валов
Проектирование трансмиссионных валов
The design specifications required for a transmission shaft are the power transmitted by the shaft and its rotation speed. Based on these specifications, ...
Концентрация напряжений в круглых валах
Концентрация напряжений в круглых валах
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 ...
Пластическая деформация круглых валов
Пластическая деформация круглых валов
When materials are subjected to stresses exceeding their yield strength, plastic deformation occurs, causing a permanent strain. In the case of circular ...
Круглые валы – упругопластические материалы
Круглые валы – упругопластические материалы
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 ...
Остаточные напряжения в круглом валу
Остаточные напряжения в круглом валу
In elastoplastic materials, residual stress can develop when the material undergoes plastic deformation due to high shearing stress or large strains. When ...
Кручение некруглых элементов
Кручение некруглых элементов
During torsional loading, the cross-sections of the circular shafts remain plane and undistorted since they are axis-symmetric. However, due to the lack ...
Тонкостенные полые валы
Тонкостенные полые валы
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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