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The elastic section modulus is used to calculate a cross-section's resistance to bending within the elastic range, where stress and strain are proportional. The plastic section modulus is used to calculate a cross-section's capacity to resist bending after yielding has occurred across the entire section. It is used for determining the plastic ...
The torsion constant or torsion coefficient is a geometrical property of a bar's cross-section. It is involved in the relationship between angle of twist and applied torque along the axis of the bar, for a homogeneous linear elastic bar. The torsion constant, together with material properties and length, describes a bar's torsional stiffness.
Stresses in a contact area loaded simultaneously with a normal and a tangential force. Stresses were made visible using photoelasticity.. Contact mechanics is the study of the deformation of solids that touch each other at one or more points.
is the elastic modulus and is the second moment of area of the beam's cross section. I {\displaystyle I} must be calculated with respect to the axis which is perpendicular to the applied loading. [ N 1 ] Explicitly, for a beam whose axis is oriented along x {\displaystyle x} with a loading along z {\displaystyle z} , the beam's cross section is ...
It is often referred to simply as the elastic modulus. The shear modulus or modulus of rigidity (G or Lamé second parameter) describes an object's tendency to shear (the deformation of shape at constant volume) when acted upon by opposing forces; it is defined as shear stress over shear strain.
Elastic properties describe the reversible deformation (elastic response) of a material to an applied stress. They are a subset of the material properties that provide a quantitative description of the characteristics of a material, like its strength. Material properties are most often characterized by a set of numerical parameters called moduli.
Section capacity (Ms in AS 4100) is equal to Ze x fy, where Ze is effective section modulus, which depending on section slenderness can be a function of elastic or plastic section modulus or both. For compact sections, Ze = MIN(S,1.5Z), non-compact Ze is a function of Z and compact Ze, and slender Ze is a function of Z.
is the cross section area. is the elastic modulus. is the shear modulus. is the second moment of area., called the Timoshenko shear coefficient, depends on the geometry. Normally, = / for a rectangular section.