It is very easy to calculate the flexural strength of concrete by using a simple flexural strength formula which is given below. Let us discuss the process of calculation.

The flexural strength of concrete is an alternate method for measuring the tensile strength of concrete. The test is made on the beam of size (Depth, Width, and Length) (15 * 15 * 7) millimeters.

or 100 mm * 100 mm * 500mm

The flexural strength of concrete is determined by either central point loading or two-point loading. The typical machine used for this test is shown below.

The bed of the testing machine is be provided with two steel rollers of 38 millimeters in diameter the rulers are mounted at the distance from center to center is 600 millimeters for 150 millimeters specimens and 400 millimeters for 100 millimeters specimens.

The Loads applied through a similar roller mounted at the top in case of 2 point loading. The rollers are spaced at 200 centimeters or 133 centimeters center to center.

The concrete is prepared as per the required grade of concrete and placed on the mold in layers and tamp 25 blows for each layer. After a day. the mold is removed and the specimen is placed in the curing tank at a temperature of 27 plus or minus 2 degrees Celsius depending upon the requirement.

The test specimen is removed from the tank and dried at 14 and 28 days for testing. The specimen is placed on the rollers and centered with the longitudinal axis of the specimen. The load is applied at a rate of loading of 400 kilograms per minute for the 150 millimeters specimens and at a rate of 180 kilograms per minute for the 100 millimeters specimens.

Finally, note down the load at which the cylinder fails by developing cracks. Now measure the distance between the line of fracture and the nearest support consider this as (I ). if (I) is greater than 200 millimeters for 150 millimeters and 130 millimeters for 100 millimeters specimen.

Then flexural strength or modulus of rupture FB is calculated by equation given below.

### Flexural strength formula

If (I) is less than 200 millimeters and greater than 170 millimeters for 150 millimeters and less than 133 millimeters and greater than 110 millimeters for the 100-millimeter specimen.

Then flexural strength or modulus of rupture FB is calculated by equation given below.

Where,

**(b) **is the width of the beam in millimeters

**(d)** is the failure point depth in millimeters

**(L) **is the supported length in millimeters and

**(Pa)** is the maximum load applied to the beam in kilograms and

**(a) **is the distance between the line of fracture and nearest support in millimeter.

I hope this article on **“Flexural strength formula and their application”** remains helpful for you.

Happy Learning – Civil Concept

**Contributed by,**

**Civil Engineer – Ranjeet Sahani**

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