Concrete Modulus Of Rupture Calculator

Modulus Of Rupture Formula:

\[ MOR = \frac{P \times L}{b \times d^2} \]

Load (P):

Span (L):

Width (b):

Depth (d):

Modulus Of Rupture (MOR):

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1. What is Concrete Modulus Of Rupture?

The Modulus Of Rupture (MOR) is a measure of the tensile strength of concrete in bending. It represents the maximum stress experienced at the moment of rupture in a flexural test and is an important parameter for evaluating the structural performance of concrete.

2. How Does the Calculator Work?

The calculator uses the Modulus Of Rupture formula:

\[ MOR = \frac{P \times L}{b \times d^2} \]

Where:

\( P \) — Applied load at fracture (lb)
\( L \) — Span length between supports (in)
\( b \) — Width of the specimen (in)
\( d \) — Depth of the specimen (in)

Explanation: This formula calculates the flexural strength of concrete based on standard beam testing procedures, providing the stress at which concrete fails in bending.

3. Importance of MOR Calculation

Details: MOR is crucial for structural design as it helps determine the bending strength of concrete elements like beams, slabs, and pavements. It's essential for ensuring structural integrity and safety in concrete construction.

4. Using the Calculator

Tips: Enter all values in the specified units (lb for load, inches for dimensions). Ensure all measurements are accurate for reliable results. Values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical MOR value for concrete?
A: Typical MOR values range from 400-700 psi for normal strength concrete, but can be higher for high-performance concrete mixes.

Q2: How does MOR relate to compressive strength?
A: MOR is generally about 10-15% of the compressive strength, though this relationship can vary based on mix design and aggregate properties.

Q3: What testing standards govern MOR determination?
A: ASTM C78 and ASTM C293 are standard test methods for determining the modulus of rupture of concrete.

Q4: Why is MOR important in pavement design?
A: In pavement engineering, MOR is critical for determining the flexural strength that resists bending stresses caused by traffic loads.

Q5: Can MOR be used for quality control?
A: Yes, MOR testing is commonly used for quality control in concrete production to ensure consistent flexural strength properties.