1. What is Modulus of Elasticity given Rankine's Constant?

Definition: This calculator determines the modulus of elasticity of a column material based on the crushing stress and Rankine's constant.

Purpose: It helps engineers and designers evaluate the elastic properties of column materials under compressive loads.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( E \) — Modulus of Elasticity (Pascals)
• \( \sigma_c \) — Column Crushing Stress (Pascals)
• \( \alpha \) — Rankine's Constant (dimensionless)
• \( \pi \) — Mathematical constant pi (~3.14159)

Explanation: The crushing stress is divided by the product of pi squared and Rankine's constant to determine the material's modulus of elasticity.

3. Importance of Modulus of Elasticity Calculation

Details: The modulus of elasticity is crucial for predicting how much a material will deform under stress and for ensuring structural stability.

4. Using the Calculator

Tips: Enter the column crushing stress in Pascals and Rankine's constant (default 0.00038 ±5%). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is Rankine's Constant?
A: Rankine's Constant is an empirical parameter used in Rankine's formula for column buckling that accounts for material properties and end conditions.

Q2: What's a typical value for Rankine's Constant?
A: Common values range from 0.0002 to 0.0006, with 0.00038 being a typical default value for many materials.

Q3: Why is there a ±5% note for Rankine's Constant?
A: Rankine's Constant often has about 5% variability depending on material composition and testing conditions.

Q4: How do I find the column crushing stress?
A: Crushing stress is typically determined through material testing or obtained from material specifications.

Q5: What units should I use?
A: Use Pascals for stress input, and the result will be in Pascals. Rankine's constant is dimensionless.

Modulus of Elasticity given Rankine's Constant Calculator© - All Rights Reserved 2025