We knew from Hook's law- "stress is proportional to strain."
So, stress = k * strain [here, k is a constant]
or, stress/strain= k
Now,
if the stress and strain occurs due to axial force
then k is known as modulus of elasticity and it is denoted by E.
if the stress and strain occurs due to shear force
then k is known as modulus of rigidity and it is denoted by G.
It is around 40 GPa.
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
G = E/2(1+u) where G = mod of rigidity and u =poisson ration and E = young modulus
Modulus of elasticity will be 2.06*10^5 N/mm2
http://www.engineeringtoolbox.com/modulus-rigidity-d_946.html
It is around 40 GPa.
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
For isotropic materials G = E/ (2(1+u) where u = poisson ratio
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.
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
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.
G = E/2(1+u) where G = mod of rigidity and u =poisson ration and E = young modulus
1. Young's modulus of elasticity, E, also called elastic modulus in tension 2. Flexural modulus, usually the same as the elastic modulus for uniform isotropic materials 3. Shear modulus, also known as modulus of rigidity, G ; G = E/2/(1 + u) for isotropic materials, where u = poisson ratio 4. Dynamic modulus 5. Storage modulus 6. Bulk modulus The first three are most commonly used; the last three are for more specialized use
Young's Modulus (modulus of elasticity) describes the stress-strain behavior of a material under monotonic loading. The dynamic modulus of elasticity describes the same behavior under cyclic or vibratory loading.
Young's modulus
the dimensions of Young's Modulus of Elasticity = (M).(L)^(-1).(T)^(-2)