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Modulus of Rupture Calculator Formula

Modulus of Rupture Formula:

\[ MOR = \frac{3 \times F \times L}{2 \times b \times h^2} \]

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1. What is Modulus of Rupture (MOR)?

Definition: Modulus of Rupture is a measure of the strength of a material in bending, representing the stress at failure in a flexural test.

Purpose: It helps engineers and material scientists evaluate the bending strength of materials like concrete, wood, ceramics, and composites.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ MOR = \frac{3 \times F \times L}{2 \times b \times h^2} \]

Where:

Explanation: The formula calculates the maximum stress a material can withstand before failure in a three-point bending test.

3. Importance of MOR Calculation

Details: MOR is crucial for structural design, quality control, and material selection in construction and manufacturing.

4. Using the Calculator

Tips: Enter the maximum load in Newtons, span length in meters, width in meters, and height in meters. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between MOR and tensile strength?
A: MOR measures bending strength while tensile strength measures resistance to pulling forces. They're related but not identical.

Q2: What are typical MOR values for common materials?
A: Concrete: 3-5 MPa, Wood: 10-100 MPa, Ceramics: 50-500 MPa depending on composition.

Q3: Why is height squared in the formula?
A: The height (or depth) has a squared relationship to bending strength due to the mechanics of beam bending.

Q4: Can I use this for four-point bending tests?
A: No, this formula is specifically for three-point bending. Four-point bending has a different formula.

Q5: How do I convert the result to other units?
A: 1 MPa = 1,000,000 Pa. To convert to psi, multiply Pa by 0.000145038.

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