longitudinal elasticity modulus of the material of construction, or Young's modulus, called the physical quantity that characterizes the properties of materials, ensuring their resistance to deformation, acting in the longitudinal direction.
parameter characterizes the degree of stiffness of a given material.
name of the module corresponds to the names of Thomas Young - famous British physicist and scientist who has studied the processes of compression and expansion of solid materials.Represented by a given physical value of the Latin letter E. Young's modulus is measured in Pascals.
parameter Young's modulus or modulus of longitudinal elasticity is used for various calculations during the test materials on the degree of the tensile deformation, compressive and flexural.
I must say that most of the construction materials used peculiar measure the Young's modulus sufficiently large, which is usually of the order of 109 Pa.Therefore, for ease of calculation and recording using multiple prefix "giga" (GPa).
below sets forth the Young's modulus for some constructional materials, which often are used for various applications.It is on the strength of their properties depend on the durability of building structures and other objects.
According to the above table, the maximum rate of the module belongs steel, and the minimum - tree.
title material | index E, [GPa] | title material | index E, [GPa] |
chrome | 300 | brass | 95 |
Nickel | 210 | duralumin | 74 |
steel | 200 | aluminum | 70 |
iron | 120 | glass | 70 |
chrome | 110 | tin | 35 |
gray cast | 110 | concrete | 20 |
silicon | 110 | lead | 18 |
bronze | 100 | tree | 10 |
Graphical determination of Young's modulus is possible with the help of special diagrams of stress, which shows the curve obtained by repeated tests of the samematerial strength.
In this case, the physical meaning of the Young's modulus is to find the mathematical relationship of the normal stresses to the relevant indicators of deformation at a certain part of the diagram to the specific predetermined limit of proportionality σpts.
as the mathematical expression Young's modulus is as follows: E = σ / ε = tgα
should also be said that the Young's modulus is also the factor of proportionality in the mathematical description of Hooke's law, which is as follows: σ =Eε
Therefore a direct link to the Young's modulus measured characteristics of cross-sections of the materials involved in the tests for hardness, expressed using indicators such as EA and E1.
EA - a measure of tensile stiffness, compressive material in its cross-section, where A - the value of the sectional area of the rod.
E1 - a measure of the flexural rigidity of the material in its cross section, wherein 1 - the value of the axial moment of inertia, which arises sectional ipytyvaemogo material.
Thus, the Young's modulus - is a universal indicator, which allows multiple parties to characterize structural properties of the material.