What is the definition of Young's modulus?
The young modulus
young modulus(E) = stress/strain
stress = force/area
strain = extension(total length)/original length
It is this property that determines how much a bar will sag under
its own weight or under a loading when used as a beam
within its limit of proportionality
There is no formula for Youngs Modulus. Young's modulus is the slope of the linear part of a stress-strain diagram, so it is basically a test result. It can be thought of as a material constant related to rigidity of the material. For a high Youngs modulus, high load (stress) causes little deflection (strain).
Youngs modulus of Elasticity represents the slope of a engineering stress strain curve. This gives the relationship between an applied stress and the resulting deformation. Stress = Youngs Modulus * strain Where strain= (Change of dimension in the direction of force) / (Original dimension magnitude) In mild steel the modulus can vary from 190-210 GPa depending on the process the steel was formed by.
What is the amount of stress applied to a material divided by the elastic strain caused by that stress called?
How do i calculate the strain and extension of a cable if lengthareaforce and youngs modulus are known?
Young's modulus is stress/strain. So if the modulus is high, it means that the stress value is greater compare to that of the material where the modulus is low. or in other words, the strain is very less compared to that of the material having low Young's modulus. So it tells that, if a material has high Young's modulus, the material requires more load for deformation of shape (within elastic limit).
by applying stress > A measure of a materials stiffness. Essentially, apply a tensile load (without exceeding the elastic limit of the material) and measure the increase in length, then apply data to: Youngs modulus (of elasticity) E = tensile stress (pressure) / tensile strain (proportional deformation) Where tensile stress (pascals) = load (newtons) / cross sectional area of sample (square metres) tensile strain (no units) = extension (metres) / original length (metres)
How do i calculate the extension of a steel cable that is 14metres long and has a 800kg weight on it the Young's modulus of steel is 210GNm2 and the diameter is 10MM?
Deformation due to axial load DEFORMATION = (FORCE X LENGTH) / (CROSS SECTION AREA X YOUNGS MODULUS) Assuming g=9.807m/s^2 Assuming Youngs Modulus = 210GPa Assuming Simple Loading (straight hanging weight) Approximating cable as homogeneous steel rod Deformation in said cable is 6.66mm Because of the structure of cable extension will occur due to contraction of the strands into a tighter form the actual extension of the cable will be greater than the approximation made.
A standard specimen is loaded on a tensile test machine; load,P, is applied and measured with a load cell and strain, e, is measured with a strain gauge extensometer. In the linear region, load is divided by specimen area to get stress, s, and the modulus, E, is determined from Hooke's law, where E = s/e
Well this entirely depends on the "type" of glass you are talking about and whether its a sample or an artefact/material. as Youngs modulus = stress / stran..... where the ratio is constant. stress being sigma and strain being epsilon. If its just glass as in general (material) then its around 65 - 90 GPA . not MPA as GPA is for stiff materials. the justinator
E=a constant of proportionality known as modulus of elasticity or young's modulus. numerically,it is that value of tensile stress,which when applied to a uniform bar will increase its length to double the original length if the material of the bar could remain perfectly elastic throughout such an excessive strain.
Different materials give different deflections depending on a number of properties. The main properties that effect deflection are the youngs modulus, size/shape of the section (2nd moment of area), elastic modulus. All materials have different properties and values for the things mentioned above. So some materials will be able to deflect more than others.
The young modulus of a material is a constant. It CANNOT be changed. The young modulus E of a material is given by: E = Fl/Ae where F is the force acting on the material l is the length A is the cross-sectional area and e is the extension of the material This formula applies ONLY when the proportionality limit is not exceeded. One might expect that changing either one of F, l, A or…