Fundamentals

Young’s Modulus – Definition and How to Calculate it?

Young’s Modulus

Young’s modulus refers to a mechanical property that measures the stiffness of a solid material. young’s modulus explains the relationship between stress and strain in a particular material.

Also, this material lies in the linear elasticity regime of uniaxial deformation. Students can learn more about young’s modulus and the way to calculate here.

Definition of Young’s Modulus

Young’s modulus is a numerical constant which describes the elastic properties of a solid which undergo tension or compression.

Furthermore, this tension or compression is only in one direction. Consider the case of a metal rod. When the metal is stretched or compressed lengthwise, it certainly returns to its original length.

Young’s modulus refers to a measure of a material’s ability to withstand changes in length. Above all, this measure comes into effect when the material is under lengthwise compression or tension.

Many experts also refer to Young’s modulus as the modulus of elasticity. Young modulus is certainly equal to the longitudinal stress divided by the strain.

How to Calculate Young’s Modulus

The calculations from Young’s Modulus rely on the applied force, material’s area, and the type of material.

The ratio of the applied force with respect to the cross-sectional area relates to the stress of the medium. Furthermore, the strain considers the change in length of any material with respect to its original length.

First of all, an individual must measure the initial length of the substance. Moreover, the individual must use a micrometer to identify the cross-sectional area of the material.

Furthermore, the individual must use the same micrometer to measure the substance’s different diameters. Then the individual must make use of various slotted masses so that the applied force can be determined.

The components certainly extend at various lengths. Therefore, the individual must make use of a Vernier scale for the determination of the length. Finally, the individual must plot the different length measures with respect to the force applied. Young modulus equation can be explained as:

E = tensile stress/tensile strain = (FL) / (A * change in L), here F is the applied force, L refers to the initial length, A refers to the square area, and E is certainly Young’s modulus in Pascals (Pa). One can also make use of a graph to determine whether a material shows elasticity or not.

Applications for Young’s Modulus

Tensile testing uses young’s modulus to identify the stiffness of a material. For example, one must apply force to stretch a rubber band. At some point, the rubber band would deform, break, or bend.

As one can see, tensile testing certainly evaluates the elasticity of different materials using Young modulus.

Furthermore, this type of identification mainly categorizes plastic or elastic behaviour. Therefore, the materials are elastic when they sufficiently deform to return to the initial state.

Most noteworthy, a material’s plastic behaviour shows non-reversible deformation. An ultimate strength rupture point occurs in materials when they experience an extensive amount of force.

Materials may display a high or low young’s modulus value. Various materials such as nylon show a higher Young modulus value at 48 MegaPascal(MPa).

This certainly indicates an excellent material for creating a strong element. Alumide and carbamide also indicate a high Young modulus value of 70 MP. This makes them useful for very sturdy components.

Solved Question for You

Q1 Which of the following statements is not true when it comes to Young’s modulus?

A. It is a numerical constant
B. It helps in understanding the ductility of a material
C. It describes the elastic properties of a solid
D. It reflects a material’s ability to withstand changes in length

A1 The correct answer is option B. which is “it helps in understanding the ductility of a material”. This is because young’s modulus has nothing to do with the measurement of the ductility of a material.

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One response to “Mechanical Properties of Mild Steel”

  1. Hamza Afzal says:

    I was looking for this answer, “As all the other are mild steel means they have high resistance while stainless steel is a hard steel that has low resistance.” stainless steel has low resistance?
    Low resistance to what type of load, impact or tensile load. With change in low type, property of steel may very. And, also, Will stainless steel have high yield strength?

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