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Chapter 18

Stress and Strain - Axial Loading

Normale Dehnung unter axialer Belastung
Normale Dehnung unter axialer Belastung
A rod subjected to a load undergoes elongation. A load-deformation diagram can represent the elongation but cannot predict deformation in different rods. ...
Spannungs-Dehnungs-Diagramm
Spannungs-Dehnungs-Diagramm
Consider a cylindrical specimen placed in a system to measure its tensile strength. Two gauge marks are inscribed on the central portion of the specimen. ...
Spannungs-Dehnungs-Diagramm - duktile Werkstoffe
Spannungs-Dehnungs-Diagramm - duktile Werkstoffe
When a specimen is subjected to loading the length first increases linearly at a slow rate, resulting in an initial straight line with a steep slope on ...
Spannungs-Dehnungs-Diagramm - Spröde Werkstoffe
Spannungs-Dehnungs-Diagramm - Spröde Werkstoffe
Brittle materials, under tensile stress, do not elongate much before rupturing, meaning their ultimate and breaking strengths are identical. Compared with ...
Wahre Spannung und wahre Dehnung
Wahre Spannung und wahre Dehnung
Engineering stress is the ratio of the load and the undeformed original cross-sectional area. Engineering stress approximates strain which represents the ...
Das Hookesche Gesetz
Das Hookesche Gesetz
Hooke's law states that stress applied to a material is directly proportional to the strain it experiences within the elastic limit. For ductile ...
Plastisches Verhalten
Plastisches Verhalten
Materials under stress due to tensile loading exhibit elastic and linear behavior until the yield point. Removing the load at the yield point, stress and ...
Ermüdung
Ermüdung
Fatigue occurs when the materials, under repeated loads for thousands or millions of cycles, rupture at a stress level much lower than the material's ...
Verformung des Stabes unter Mehrfachbelastungen
Verformung des Stabes unter Mehrfachbelastungen
The deformation of a rod with different materials and cross-sections is computed by dividing it into parts, each characterized by individual parameters. ...
Statisch unbestimmte Problemlösung
Statisch unbestimmte Problemlösung
Consider two cylindrical rods, one of steel and another of brass, joined at point B and restrained by rigid supports at points A and C. Determine the ...
Thermische Belastung
Thermische Belastung
A homogeneous rod with a uniform cross-section, resting freely on a horizontal surface, expands when heated. The expansion is proportional to the ...
Temperaturabhängige Verformung
Temperaturabhängige Verformung
Consider a non-homogenous rod made of steel and brass, restrained at both ends and subjected to a temperature change. The stress and load on the rod are ...
Poissonzahl
Poissonzahl
When a slender bar is subjected to an axial load, the bar material undergoes axial strain, causing it to deform in the axial direction. Simultaneously, ...
Verallgemeinertes Hooke'sches Gesetz
Verallgemeinertes Hooke'sches Gesetz
The generalized Hooke's Law extends Hooke's Law to all stress types and directions, aiding in understanding materials under multiaxial stress ...
Kompressionsmodul
Kompressionsmodul
The bulk modulus measures a material's resistance to uniform compression. It is defined as the proportionality constant between a change in pressure ...
Scherdehnung
Scherdehnung
In a cubic element with a general state of stress, the shearing stresses can deform a cube into an oblique parallelepiped without affecting normal ...
Zusammenhang zwischen Poissonzahl, Elastizitätsmodul und Steifigkeitsmodul
Zusammenhang zwischen Poissonzahl, Elastizitätsmodul und Steifigkeitsmodul
A slender bar subjected to an axial load undergoes deformation in the axial and transverse directions. The deformation affects the cubic elements within ...
Das Saint-Venant-Prinzip
Das Saint-Venant-Prinzip
Consider a member with plates on both ends. When loads are applied centrally on the plates, they move towards each other without rotating, causing the ...
Spannungskonzentrationen
Spannungskonzentrationen
Stress concentration refers to the amplification of stress in a structural member near points of discontinuity, such as holes or abrupt changes in ...
Eigenspannungen
Eigenspannungen
When a rod is stretched beyond its yield point, it permanently deforms and doesn't regain its original length. The stresses created during loading are ...
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