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Chapter 23

Transformations of Stress and Strain

Transformation de la contrainte plane
Transformation de la contrainte plane
Studying stress transformation is essential in understanding how stress components within a material, like a cube under plane stress, change with ...
Contraintes principales
Contraintes principales
The normal and shearing stress equations of the transformed plane, when graphed, form a circle that demonstrates their relationship for any given angular ...
Principales contraintes : résolution de problèmes
Principales contraintes : résolution de problèmes
Two planes that are at right angles carry shearing stress along with tensile and compressive stresses. With known stress values, determine the principal ...
Cercle de Mohr pour la contrainte plane
Cercle de Mohr pour la contrainte plane
Mohr's circle is a visual representation of stress transformation on an element. The stress components in this element are plotted on a graph to ...
L’état de contrainte générale
L’état de contrainte générale
The general state of stress refers to the various forces and pressures an object experiences. Consider a tetrahedron with one face perpendicular to a line ...
Critères d'élasticité pour les matériaux ductiles sous contrainte plane
Critères d'élasticité pour les matériaux ductiles sous contrainte plane
Structural elements and machine parts made from ductile materials are designed to resist yielding under an expected load. The yield point is identified ...
Transformation de la déformation plane
Transformation de la déformation plane
Consider a long bar subjected to uniformly distributed loads on its sides. In such bars, the transformation of plane strain under a rotation of coordinate ...
Cercle de Mohr pour la déformation plane
Cercle de Mohr pour la déformation plane
Mohr's circle is a crucial graphical method used to analyze plane strain by plotting strain on a set of cartesian coordinates, where the abscissa is ...
Analyse tridimensionnelle de la déformation
Analyse tridimensionnelle de la déformation
Three-dimensional strain analysis uses principal stress axes to evaluate deformation in elastic, homogeneous materials. A small cubic element, when ...
Mesures de déformation
Mesures de déformation
Strain measures the deformation or displacement in a material. Normal strain is calculated by comparing lengths before and after a load is applied. A more ...
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