1. What is Modulus of Elasticity of Prismatic Bar?

Definition: This calculator determines the Young's Modulus (modulus of elasticity) of a prismatic bar based on its elongation due to self-weight.

Purpose: It helps engineers and material scientists understand the elastic properties of materials when subjected to their own weight.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( E \) — Young's Modulus (Pa)
• \( \gamma \) — Specific weight of the material (N/m³)
• \( L \) — Length of the bar (m)
• \( \delta l \) — Elongation of the bar (converted from % to m)

Explanation: The formula relates the material's elastic properties to its deformation under its own weight.

3. Importance of Young's Modulus Calculation

Details: Young's Modulus is crucial for understanding material stiffness and predicting deformation under various loads.

4. Using the Calculator

Tips: Enter the specific weight in N/m³, length in meters, and elongation as a percentage. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is specific weight?
A: Specific weight is the weight per unit volume of a material, typically expressed in N/m³.

Q2: How is elongation measured?
A: Elongation is typically measured as a percentage of the original length when the bar is hanging vertically under its own weight.

Q3: What materials is this calculator suitable for?
A: This calculator works for any homogeneous, isotropic, linearly elastic prismatic bar material.

Q4: Why does elongation appear as a percentage?
A: Elongation is often measured and reported as a percentage of the original length in material testing.

Q5: How accurate is this calculation?
A: The calculation assumes ideal conditions; real-world factors like temperature and material imperfections may affect results.

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