Flexural Strength of Concrete: What It Is and How to Calculate It

Concrete is one of the most used materials in construction. It’s strong and long-lasting but when building structures like beams, slabs, and pavements, we don’t just care about how well concrete handles pressure from above (compressive strength), we also care about how well it can resist bending. That’s where flexural strength comes in.

In this article, we’ll break down what flexural strength of concrete means, how to find it, how to calculate it, and what the typical values are without getting too technical.

Flexural strength, also called modulus of rupture, is the ability of concrete to resist bending or cracking under load. In simple words, it tells you how strong the concrete is when it’s being bent.

Imagine a concrete beam. If you put a load in the middle, the beam will bend. The flexural strength tells us how much it can bend before it cracks or breaks.

Why is Flexural Strength Important?

Flexural strength is especially important in:

  • Roads and pavements (to handle moving vehicle loads)

  • Slabs and beams (to avoid cracking and sagging)

  • Bridges and cantilevers (where bending forces are common)

If the flexural strength is too low, the concrete may crack even if it has high compressive strength.

How to Find Flexural Strength of Concrete

Flexural strength is tested in a lab using a beam test, which involves breaking a small concrete beam under controlled conditions.

There are two common test methods:

  1. Center Point Loading Test

    • Load is applied in the middle of the beam.

    • Measures the maximum stress at the center.

  2. Third Point Loading Test

    • Load is applied at two points, dividing the beam into three equal parts.

    • Measures average stress in the middle section.

These tests are done according to standards like IS 516 (India) or ASTM C78 (USA).

Flexural Strength of Concrete Formula

The flexural strength (fᵣ) is calculated using the formula below (for third-point loading):

 

fᵣ = (P × L) / (b × d²)
 

Where:

  • fᵣ = Flexural strength in MPa or N/mm²

  • P = Maximum load applied (in Newtons)

  • L = Length between the supports (in mm)

  • b = Width of the beam (in mm)

  • d = Depth of the beam (in mm)

For center point loading, a slightly different formula is used.

The Flexural Strength of Concrete Is…

The flexural strength of concrete depends on the grade and mix of concrete. Here’s a general idea:

Concrete GradeFlexural Strength (Approx.)
M203.0 – 3.5 MPa
M253.5 – 4.0 MPa
M304.0 – 5.0 MPa

A common rule of thumb is:

 
Flexural strength ≈ 10% to 20% of compressive strength

 

So, if your concrete has a compressive strength of 30 MPa, the flexural strength might be around 3 to 4.5 MPa.

How to Increase Flexural Strength of Concrete

To make concrete stronger against bending, you can:

  • Use higher-grade cement

  • Add steel fibers or polypropylene fibers

  • Ensure proper curing of concrete

  • Use admixtures to improve bonding and reduce voids

  • Avoid excess water in the mix

Why Flexural Strength Value Matters

  • Design Safety: Ensures that beams, slabs, and pavements don’t crack under load.

  • Durability: Helps prevent long-term structural damage.

  • Quality Check: Used to evaluate the consistency and quality of concrete mixes.

Knowing the flexural strength of concrete value helps engineers and architects choose the right type of concrete for your structure.

Need Help with Concrete Design or Slab Planning?

At SmartScale House Design, we don’t just design homes we ensure every structural element, including your slabs and beams, meets the right standards for strength and durability.

Whether you’re building a new house or improving an existing one, our team can guide you through proper concrete usage, slab design, and structural planning.

Contact SmartScale House Design today to get expert advice and custom plans tailored for your home.

Conclusion

Flexural strength might not be as commonly talked about as compressive strength, but it’s just as important especially in structures that deal with bending and movement. Knowing how to measure and improve it can help make your construction stronger and more durable.

FAQs

What is 0.7 √fck?

The expression 0.7 √fck is a formula recommended by the Indian Standard IS 456:2000 to estimate the flexural strength of concrete. In this formula, fck stands for the characteristic compressive strength of concrete in megapascals (MPa). To calculate, you simply take the square root of the compressive strength (√fck) and multiply it by 0.7. For example, if you’re working with M30 concrete (where fck = 30 MPa), the estimated flexural strength would be 0.7 × √30 ≈ 0.7 × 5.48 ≈ 3.84 MPa. This gives a quick approximation of how well the concrete can resist bending or flexural forces.

How strong is concrete after 14 days?

Concrete gains strength gradually over time through a process called hydration, and the first few weeks are the most critical. By 14 days, most types of concrete reach about 75% to 90% of their final compressive strength, depending on curing conditions, cement type, and mix proportions. For instance, if the target strength is 30 MPa (M30 grade), the concrete may achieve around 22.5 to 27 MPa by the 14th day. This is a key checkpoint in construction because it helps assess whether the concrete is on track to reach full strength by 28 days.

What is the flexural strength of 4000 psi concrete?

A concrete mix with a compressive strength of 4000 psi is equivalent to approximately 27.6 MPa. The flexural strength of concrete is typically estimated to be between 10% to 15% of its compressive strength. Based on this range, the flexural strength of 4000 psi concrete would be around 2.76 MPa to 4.14 MPa. This value represents the concrete’s ability to resist bending or cracking under load, making it an important factor in the design of beams, slabs, and pavements.

What is the flexural strength formula as per IS 456?

According to IS 456:2000, the standard formula to estimate the flexural strength of concrete is: Flexural strength (fcr) = 0.7 × √fck, where fck is the characteristic compressive strength in MPa. This formula is used to get a quick, theoretical estimate of the modulus of rupture or bending strength of concrete without performing a lab test. However, actual flexural strength should ideally be measured using beam tests for accuracy, especially in structural design.

What is the specimen size for flexural strength of concrete?

To test the flexural strength of concrete, a beam specimen is used. As per Indian and international standards, the typical specimen size is 150 mm × 150 mm × 700 mm. This means the beam is 150 mm wide, 150 mm deep, and 700 mm long. During the test, load is applied at one or two points to check how much bending the beam can handle before it cracks or fails. This standard size ensures consistency in results across different testing labs.

What is the flexural strength of M30 concrete?

M30 concrete has a characteristic compressive strength of 30 MPa. Using the formula from IS 456: Flexural strength = 0.7 × √30 ≈ 3.84 MPa. So, the estimated flexural strength of M30 concrete is around 3.8 to 4 MPa. This makes it suitable for moderately loaded slabs, beams, and pavements where bending resistance is important. Actual flexural strength may vary slightly depending on mix design and curing conditions.

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