Elastic Constant Calculator

Calculate Elastic Constant (Young's Modulus)



Formula

The formula to calculate the Elastic Constant (Young's Modulus) is:

\[ E = \frac{\sigma}{\epsilon} \]

Where:

Definition

Example

Let's say the stress (σ) is 200 N/m² and the strain (ε) is 0.01. Using the formula:

\[ E = \frac{200}{0.01} = 20000 \]

So, the Elastic Constant (Young's Modulus) is 20000 N/m².

Extended information about "Elastic-Constant-Calculator"

How to Calculate Elasticity

Definition: Elasticity measures how much one variable responds to changes in another variable.

Formula: \( E = \frac{\Delta Q}{\Delta P} \times \frac{P}{Q} \)

Example: \( E = \frac{20}{5} \times \frac{10}{100} \)

Elastic Constant Dimensional Formula

Definition: The dimensional formula of an elastic constant represents its physical dimensions.

Formula: \( [K] = [M L^{-1} T^{-2}] \)

Example: \( [K] = [10 , kg , m^{-1} , s^{-2}] \)

Find the Equation for Elasticity Calculator

Definition: This calculator finds the elasticity of demand or supply based on changes in price and quantity.

Formula: \( E_d = \frac{\Delta Q_d}{\Delta P} \times \frac{P}{Q_d} \)

Example: \( E_d = \frac{30}{10} \times \frac{15}{150} \)

Relation Between Elastic Constants

Definition: The relationship between different elastic constants such as Young's modulus, shear modulus, and bulk modulus.

Formula: \( E = 2G(1 + \nu) \)

Example: \( E = 2 \times 30 \times (1 + 0.25) \)