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Plastic section modulus and elastic section modulus can be related by a shape factor k: = = This is an indication of a section's capacity beyond the yield strength of material. The shape factor for a rectangular section is 1.5. [1]
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.
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 ...
The Young's modulus of the test beams can be found using the bending IET formula for test beams with a rectangular cross section. The ratio Width/Length of the test plate must be cut according to the following formula: This ratio yields a so-called "Poisson plate".
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.
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.
Torsion of a square section bar Example of torsion mechanics. In the field of solid mechanics, torsion is the twisting of an object due to an applied torque [1] [2].Torsion could be defined as strain [3] [4] or angular deformation [5], and is measured by the angle a chosen section is rotated from its equilibrium position [6].
The elastic membrane analogy, also known as the soap-film analogy, was first published by pioneering aerodynamicist Ludwig Prandtl in 1903. [1] [2] It describes the stress distribution on a long bar in torsion. The cross section of the bar is constant along its length, and need not be circular.