1. What is the Elongation of Prismatic Rod Formula?

The elongation formula calculates the extension of a prismatic rod under axial load. It provides a measure of how much a rod stretches when subjected to tensile forces, based on material properties and dimensions.

2. How Does the Calculator Work?

The calculator uses the elongation formula:

Where:

• \( W \) — Applied Load (N)
• \( L \) — Length of the rod (m)
• \( E \) — Young's Modulus (Pa)
• \( d \) — Diameter of the shaft (m)
• \( \pi \) — Archimedes' constant (≈3.1416)

Explanation: The formula calculates the elongation by considering the applied load, material stiffness (Young's Modulus), and geometric properties of the rod.

3. Importance of Elongation Calculation

Details: Accurate elongation calculation is crucial for structural design, material selection, and ensuring mechanical components can withstand expected loads without excessive deformation.

4. Using the Calculator

Tips: Enter all values in consistent SI units. Applied load in Newtons, length in meters, Young's Modulus in Pascals, and diameter in meters. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is Young's Modulus?
A: Young's Modulus is a measure of the stiffness of a material. It defines the relationship between stress and strain in a material in the linear elasticity regime.

Q2: Does this formula work for compressive loads?
A: Yes, the same formula applies for compressive loads, but the elongation will be negative, indicating contraction rather than extension.

Q3: What are typical Young's Modulus values?
A: Steel: ~200 GPa, Aluminum: ~70 GPa, Concrete: ~30 GPa, Rubber: ~0.01-0.1 GPa.

Q4: When is this formula not applicable?
A: This formula assumes linear elastic behavior and is not valid beyond the material's yield point or for non-prismatic rods.

Q5: How does diameter affect elongation?
A: Elongation is inversely proportional to the square of the diameter. Doubling the diameter reduces elongation by a factor of four.