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modulus of elasticity, E, relates tension stress, s, to strain,e (s = Ee) modulus of rigidity, G, relates shear stress, t, to angular strain, g (t = Gg) modulus of rigidity G is related to E as G = E/2(1+u) whree u = poisson ratio
It is defined as ratio of the product of modulus of rigidity and polar moment of inertia to the length of the shaft. Torsional Rigidity is caluclated as: Torsional Rigidity= C J/l
That is the shear modulus, G, related to Young elastic modulus ,E, as G = E/(2(1+u)) where u is Poisson ratio
When we talk about deformatation, we are referring to two properties, namely Elasticity and Plasticity. These properties are measured using constants known as " Moduli of Elasticity". There are 4 such moduli: Young's Modulus Axial Modulus Rigidity Modulus Bulk Modulus The larger the value of the Bulk Modulus, the harder it is to compress the material.
Just as the modulus of elasticity , E, relates tensile stress to tensile strain, the modulus of rigidity, G, relates shear stress to shear strain. The modulus of rigidity, G, is, for isotropic materials, related to E as G = E/ (2(1+u)) where u = poisson ratio which varies from 0 to 0.5 and is usually 0.25-0.33 for many metals. tensile stress = Ee e = tensile strain shear stress = Gk k = shear strain
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No, it will not change. Young's modulus is a property of the material and not dependent on dimensions. Rigidity, or product of modulus and inertia, will change, as inertia depends on dimensions; but modulus does not change.
there are different types of modulus it depends on what types of stress is acting on the material if its direct stress then then there is modulus of elasticity,if tis shear stress then its modulus of rigidity and when its volumetric stress it is bulk modulus and so on
modulus of elasticity = 15 Msi; poisson ratio = 0.3 modulus of rigidity = E/ ((2(1 + poisson)) = 5.8 Msi
Flexural Rigidity/strength and sectional modulus
G = E/2(1+u) where G = mod of rigidity and u =poisson ration and E = young modulus
It is around 40 GPa.
modulus of elasticity, E, relates tension stress, s, to strain,e (s = Ee) modulus of rigidity, G, relates shear stress, t, to angular strain, g (t = Gg) modulus of rigidity G is related to E as G = E/2(1+u) whree u = poisson ratio
shearing stress to shearing strain
about 70 to 80 GPa
IN MACHINE design modulus of elasticity place an important role. from the value of modolus of elasticity we come to know about maximum value of load that can be to the given material upto which the material is assume to follow the hook's law.