Elasticity Calculator Physics Formula

Young's Modulus Formula:

\[ E = \frac{F \times L}{A \times \Delta L} \]

Force (F):

Original Length (L):

Area (A):

m²

Extension (ΔL):

Young's Modulus (E):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Young's Modulus?

Young's Modulus (Elastic Modulus) is a measure of the stiffness of a solid material. It defines the relationship between stress (force per unit area) and strain (proportional deformation) in a material in the linear elasticity regime of a uniaxial deformation.

2. How Does the Calculator Work?

The calculator uses Young's Modulus formula:

\[ E = \frac{F \times L}{A \times \Delta L} \]

Where:

\( E \) — Young's Modulus (Pa)
\( F \) — Applied Force (N)
\( L \) — Original Length (m)
\( A \) — Cross-sectional Area (m²)
\( \Delta L \) — Extension (m)

Explanation: The formula calculates the ratio of tensile stress to tensile strain, providing a measure of material stiffness.

3. Importance of Young's Modulus

Details: Young's Modulus is crucial in material science and engineering for selecting appropriate materials for construction, predicting how materials will behave under load, and ensuring structural integrity in design applications.

4. Using the Calculator

Tips: Enter force in newtons (N), original length in meters (m), cross-sectional area in square meters (m²), and extension in meters (m). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What are typical Young's Modulus values for common materials?
A: Steel: ~200 GPa, Aluminum: ~70 GPa, Rubber: ~0.01-0.1 GPa, Wood: ~10 GPa along the grain.

Q2: How does temperature affect Young's Modulus?
A: Generally, Young's Modulus decreases with increasing temperature as materials become less stiff when heated.

Q3: What is the difference between Young's Modulus and shear modulus?
A: Young's Modulus measures resistance to linear compression/tension, while shear modulus measures resistance to shear deformation.

Q4: Can Young's Modulus be negative?
A: No, Young's Modulus is always positive as it represents a material's stiffness. Negative values would indicate instability.

Q5: How accurate is this calculation for real-world applications?
A: This provides a theoretical value. Real materials may exhibit non-linear behavior, especially near yield points or with imperfections.