Young s modulus formula young s modulus or elastic modulus or tensile modulus is the measurement of mechanical properties of linear elastic solids like rods wires etc. This means it is a number which represents how easy it is to deform stretch a material.
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Y σ ε we have y f a l l f l a l as strain is a dimensionless quantity the unit of young s modulus is the same as that of stress that is n m or pascal pa.
Young modulus formula physics. Although young s modulus is named after the 19th century british scientist thomas young the concept was developed in 1727 by leonhard euler. Young s modulus y is the elastic modulus when deformation is caused by either tensile or compressive stress and is defined by equation ref 12 33. Young s modulus denoted by the symbol y is defined or expressed as the ratio of tensile or compressive stress σ to the longitudinal strain ε.
The bulk modulus k is like young s modulus except in three dimensions. It is a measure of volumetric elasticity calculated as volumetric stress divided by volumetric strain. The stress strain and the extension of the wire used in the overhead crane are calculated.
A modulus is a numerical value which represents a physical property of a material. It is the modulus of elasticity. The first experiments that used the concept of young s modulus in its current form were performed by the italian scientist giordano riccati in 1782 pre dating young s work by 25 years.
Young s modulus of the string 5 x 109 n m2. It is assumed that the proportionality limit of the wire is not exceeded. Some of these are bulk modulus and shear modulus etc.
A string has a diameter of 1 cm and the original length of 2 m. What is the young modulus. The string is pulled by a force of 200 n.
A modulus is a numerical value which represents a physical property of a material. There are other numbers that give us a measure of elastic properties of a material like bulk modulus and shear modulus but the value of young s modulus is most commonly used. Young s modulus describes tensile elasticity along a line when opposing forces are applied.
The young s modulus of the material of the wire is 210 x 10 9 n. Determine the change in length of the string. Dividing this equation by tensile strain we obtain the expression for young s modulus.
It compares the tensile stress with the tensile strain. It is the ratio of tensile stress to tensile strain. There are some other numbers exists which provide us a measure of elastic properties of a material.
Young s modulus also referred to as the elastic modulus or tensile modulus is a measure of mechanical properties of linear elastic solids like rods wires and such. Young s modulus formula young s modulus is used to represents how easy it is to deform a material.
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