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Metric unit of young's modulus

Updated: 8/10/2023
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14y ago

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Young's modulus is defined as the ration of stress to strain for a given material below the limit of proportionality (the elastic limit). So Young's modulus is calculated by the formula: Stress/Strain is equal to young's modulus. Stress is defined as the force per unit area of cross-section below the limit of proportionality. So the formula is: Force (in newtons)/ Cross sectional area (in square metres). This would give the units Newtons per square metre which is written Nm-2 which is exactly the same as the Pascal (Pa); either can be used. Strain is defined as the fractional change in length produced when a body is subjected to stress. It's formula is: Change in length produced (in metres)/ Original legth (in metres). There are no units as it is a ratio of two values that have the same unit. So Young's Modulus has the formula: (Force/area)/(change in length/original length). This can be simplified to Stress/Strain (the amount of stress a body has to undergo to produce a certain amount of strain. The unit for stress is the Pascal (Pa) and there are no units for strain so overall, the unit for Young's Modulus is the Pascal (Pa) or Nm-2.

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15y ago
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15y ago

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).

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12y ago

It is defined as the ratio of the uniaxial stress over the uniaxial strain in the range of stress in which Hooke's Law holds

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14y ago

Usually Young's modulus in SI is given in gigapascals (GPa) or megapascals MPa).

To go from psi to Mpa, multiply by 0.006895.

To go from psi to GPa multiply by 0.000006895

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11y ago

the dimensions of Young's Modulus of Elasticity = (M).(L)^(-1).(T)^(-2)

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10y ago

The SI unit for energy is the joule. It doesn't matter what type of energy.

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13y ago

N/m^2

and also Pascal

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14y ago

kgforce PER METERSQARE(kgf/m2)

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