Created By : Naaz Fatima

Reviewed By : Phani Ponnapalli

Last Updated : May 18, 2023

Use our free Young's Modulus Calculator to quickly determine the young modulus value. Simply enter stress and strain in the input fields and press the calculate button to receive the result in a matter of seconds.

Young's Modulus Calculation:

Initial Length ( L1 )
Final Length ( L2 )
Area ( A )
Force ( F )

Young Modulus Calculation by Stress & Strain:

Stress ( σ )
Strain (ε)

Stress Calculation:

Area ( A )
Force ( F )

Strain Calculation:

Initial Length ( L1 )
Final Length ( L2 )

### What is Meant by the Young's Modulus?

The modulus of elasticity, commonly known as Young's modulus, is defined as the ability of a material to tolerate compression or elongation as measured in terms of its length. It is symbolised by the letters E or Y.

The Young's Modulus (also called Elastic Modulus or Tensile Modulus) is a mechanical property of linear elastic solids like rods, wires, and other similar items. Other values can be used to determine a material's elastic properties, such as bulk modulus and shear modulus, but Young's Modulus is the most commonly used. This is due to the fact that it offers data about a material's tensile elasticity (ability to deform along an axis).

The relationship between stress (force per unit area) and strain is described by (proportional deformation in an object). The Young's modulus is named after Thomas Young, a British scientist. When a specific load is applied to a solid object, it deforms. When the pressure is removed from an elastic object, the body returns to its previous shape. Beyond a small degree of distortion, many materials are not linear and elastic. Only linear elastic materials have a constant Young's modulus.

Young's modulus of elasticity (Y) = stress / strain i.e. Y = σ/e

### How to Calculate Young's Modulus?

To find Young's modulus value, follow the simple guidelines and procedure described here.

• The ratio between stress and strain is known as Young's modulus.
• To find the answer, assess stress / strain.

### How to Use the Young's Modulus Calculator?

The following is the procedure how to use the young’s modulus calculator

• Input the unknown value's stress, strain, and x in the appropriate input fields.
• To acquire the result, click the "Calculate the Unknown" button.
• Finally, the output field will show the Young's modulus value.

### Examples on Young's Modulus

Example 1: Determine Young’s modulus, when 9 N/m^2 stress is applied to produce a strain of 0.6?

Solution:

Given: Stress σ = 9 N/m^2

Strain e = 0.6

Young’s modulus formula is given by, E = σ / e = 9 / 0.6 = 15 N/m^2

Example 2: Determine Young’s modulus of a material whose elastic stress and strain are 8 N/m^2 and 0.25, respectively.

Solution:

Given: Stress σ = 8 N/m2

Strain e = 0.25

Young’s modulus formula is given by, E = σ / e

E = 8 / 0.25 = 32 N/m2

### FAQs on Young's Modulus Calculator

1. What is the formula for calculating Young's modulus?

E = tensile stress/tensile strain = (FL) / (A x change in L) is the Young's modulus equation.

• Where, F = applied force,
• L = initial length
• A = square area
• E = Young's modulus in Pascals (Pa)

2. What is Young's modulus of a material?

Young's modulus is a measurement of a material's ability to endure length changes when subjected to lengthwise tension or compression. Young's modulus, often known as the modulus of elasticity, is equal to the longitudinal stress divided by the strain.

3. How do you figure out young's modulus?

• Using a standard calculator to calculate young's modulus
• Divide a by n.
• Subtract the entire amount from the result.
• To get the modulus, multiply by n.

4. What is aluminum's elastic modulus?

70 Gpa. The elastic modulus (E) of Al is 70 GPa, while that of Al alloys is in the range of 67-73 GPa.

5. Is the elastic limit defined by Young's modulus?

Young's Modulus: Young's modulus is the ratio of tensile or compressive stress to the corresponding strain within the elastic limit.