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Modulus of Rupture Calculator for Concrete

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 (MOR) is a measure of the tensile strength of concrete in bending, representing the stress at which a material fails under bending.

Purpose: It helps engineers evaluate the flexural strength of concrete beams and slabs, which is critical for structural design.

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 stress in the outermost fiber of a beam at the point of failure during a three-point bending test.

3. Importance of MOR Calculation

Details: MOR is crucial for designing concrete structures that will experience bending stresses, such as beams, slabs, and pavements.

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 a typical MOR value for concrete?
A: Normal concrete typically has an MOR between 3.5-5.5 MPa (3,500,000-5,500,000 Pa).

Q2: How does MOR differ from compressive strength?
A: MOR measures tensile strength in bending, while compressive strength measures resistance to crushing forces.

Q3: What test standard is this based on?
A: This follows ASTM C78 for flexural strength testing of concrete.

Q4: Why is the height squared in the formula?
A: The height squared accounts for the moment of inertia in the beam's cross-section.

Q5: Can I use this for other materials besides concrete?
A: Yes, the formula applies to any brittle material tested in three-point bending.

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