Type your from the hook's law,
stress is directly proportional to the strain under the elastic limits.
σ α ε
where,
σ - tensile stress.
ε - strain.
now σ =E ε
where, E is the proportionality constant or the young's modulus of the material.
the extension of the hook's law
where the shear stress is directly proportional to the shear strain.
ζ α γ
ζ - shear stress.
γ - shear strain.
ζ = Gγ
where G is the modulus of rigidity.
A pure shear stress at a point can be alternatively presented by the normal stresses at 450 with the directions of the shear stress.
σ1 = -σ2 = ζ.
using this principle you get
G = E/(2(1+ ν)) is the 1 equation.
where, ν is the poisson's ratio.this is the basic relation between E,G, ν.
the change in volume per unit volume referred to as the dilation.
e = εx + εy + εz
the shear strains are not taken into account because they do not contribute to any volume change.
for an isotropic linearly elastic materials for use with Cartesian coordinates
εx = σx/E - νσy/E - νσz/E
similar equations are formed for εy ,εz .
e = εx + εy + εz = ((1 - 2ν)/E)( σx+ σy+ σz)
if σx= σy = σz = -p like a hydrostatic pressure of uniform intensity
then
-p/e = k = E/3(1 - 2ν) is the 2 equation
where k is the bulk modulus.
Addin 1 & 2 by bringing only the poisson's ratio to left side and taking all other constants to the right side the equation formed is the
9/E = 3/G + 1/k is the relation between the three modulus.
here...
For isotropic materials the relation of Young's modulus, E, and rigidity, G, is
G = E divided by 2(1+u) where u = poisson ratio which is generally 0 to 0.5 depending on material.
G is also known as the shear modulus
Let young's modulus = E, Shear modulus = G, Bulk Modulus = K and poisson's ratio = v E = 3K(1-2v) E = 2G(1+v)
3/y = 1/3k +1/n y - youngs modulus k - bulk modulus n(eta) - shear or rigidity modulus
the worst answer i have ever get .. just get lost
E=3K(1-(2/m))
G= E/2(1+U) k=E/3(1-2U)
The value for the cleavage plane (100) is 38 GPa and the value for the cleavage plane (001) is 33 GPa.
Young's modulus "E" is not specific to geometry of the shape in question but is specific to the material used. e.g. E = 29,000,000 psi for steel; 10,000,000 psi for T6061 aluminum; etc. The Moment of Inertia "I" is related to geometry of the shape in question and specific to the material. An HSS of a specific size will have a unique moment of inertia, I, specific to its size. TIP: by increasing the height of the HSS in its principle access, you will non-linearly increase the moment of inertial usually by height cubed thereby making the member less prone to deflection (in other words making it stiffer). Young's modulus applies to whether I make the member out of steel, aluminum, titanium etc. but not its shape
Sarayu: Hindi for a calm unexpected breeze, see Wm. Paul Youngs "The Shack"
No, stress is not a dimensionless quantity. By application of a simple equation of stress, axial stress, we can determine the primary dimensions (Length, Time, Mass, Etc.) of stress.Stress (sigma) = Force (F)/Area (A)Force has the primary dimensions of: (Mass*Length)/Time^2Area has the primary dimensions of: Length^2Therefore we can determine that Stress has the primary dimensions of: Mass/(Length*Time^2)Common units include: Newtons (SI), psi (pounds mass per square inch)You may have confused stress with strain. Strain has primary dimensions of Length/Length and therefore it is often expressed without any attached units.
ligt waves are different from other ways because they have charicteristics of particles and waves. It has never been proven that it is one or the other. Youngs double slit experiment shows us that light waves diffract and interfere.
G = E/2(1+u) where G = mod of rigidity and u =poisson ration and E = young modulus
Young's modulus
Depends on the hardness of the formulation. Poisson's ratio depends mainly on the bulk modulus and slightly on the Youngs modulus at very low strains for the subject compound. If the Youngs modulus lies between 0.92 and 9.40MN/m², Poisson's ratio lies between 0.49930 and 0.49993.
Youngs Modulus
75gpa
young modulus remain unaffected ...as it depends on change in length ..
I think you mean "What variables affect young's modulus". Obviously not an english major!
Young's modulus-205 kN/mm2 Poisson's ratio = 0.30
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
between 0.27*1010 Pa and 0.35*1010 Pa depending on the perspex
Metal is not a specific material, how is this ever going to be answered?!
en 24 is an alloy steel in the .40 carbon range. Young's modulus between 28 and 30 million PSI Tim Engleman