Modulus of Rupture of rectangular sample in three-point bending Solution

STEP 0: Pre-Calculation Summary
Formula Used
Modulus of rupture of the concrete = (3*Load at fracture point*Length of section)/(2*Width of Section*(Average Section Thickness^2))
fr = (3*Ff*L)/(2*B*(T^2))
This formula uses 5 Variables
Variables Used
Modulus of rupture of the concrete - (Measured in Pascal) - Modulus of rupture of the concrete is a measure of the tensile strength of concrete beams or slabs.
Load at fracture point - (Measured in Newton) - Load at fracture point is the force at the breaking limit of a material beyond which if further load is applied, it will rupture and break apart.
Length of section - (Measured in Meter) - Length of section is the the longer or longest dimension of the section.
Width of Section - (Measured in Meter) - Width of Section is the width of the rectangular cross-section of the beam parallel to the axis in consideration.
Average Section Thickness - (Measured in Meter) - Average section thickness is the average thickness of sections of casting through where metal flows.
STEP 1: Convert Input(s) to Base Unit
Load at fracture point: 80 Newton --> 80 Newton No Conversion Required
Length of section: 180 Millimeter --> 0.18 Meter (Check conversion here)
Width of Section: 100 Millimeter --> 0.1 Meter (Check conversion here)
Average Section Thickness: 1.6 Millimeter --> 0.0016 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fr = (3*Ff*L)/(2*B*(T^2)) --> (3*80*0.18)/(2*0.1*(0.0016^2))
Evaluating ... ...
fr = 84375000
STEP 3: Convert Result to Output's Unit
84375000 Pascal -->84.375 Megapascal (Check conversion here)
FINAL ANSWER
84.375 Megapascal <-- Modulus of rupture of the concrete
(Calculation completed in 00.031 seconds)

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Modulus of Rupture of rectangular sample in three-point bending Formula

Modulus of rupture of the concrete = (3*Load at fracture point*Length of section)/(2*Width of Section*(Average Section Thickness^2))
fr = (3*Ff*L)/(2*B*(T^2))

What is Modulus of Rupture?

Modulus of rupture is a measure of the strength of any section like concrete, beams, or slabs before failure and its resistance to bending. Modulus of rupture is also known as flexural strength, bend strength, or fracture strength.

What is the significance of Modulus of Rupture?

Modulus of Rupture is defined as the final strength related to the failure of the beams by the flexibility equal to the moment of bending in the fracture divided by part of the beam section. The calculation from the Modulus of Rupture helps us to build structural elements such as beams, cantilevers, shafts, etc.

How to Calculate Modulus of Rupture of rectangular sample in three-point bending?

Modulus of Rupture of rectangular sample in three-point bending calculator uses Modulus of rupture of the concrete = (3*Load at fracture point*Length of section)/(2*Width of Section*(Average Section Thickness^2)) to calculate the Modulus of rupture of the concrete, Modulus of Rupture of rectangular sample in three-point bending can be used to calculate the tensile strength of concrete beams or slabs when the maximum load is applied over the centre one third portion of the section. Modulus of rupture of the concrete is denoted by fr symbol.

How to calculate Modulus of Rupture of rectangular sample in three-point bending using this online calculator? To use this online calculator for Modulus of Rupture of rectangular sample in three-point bending, enter Load at fracture point (Ff), Length of section (L), Width of Section (B) & Average Section Thickness (T) and hit the calculate button. Here is how the Modulus of Rupture of rectangular sample in three-point bending calculation can be explained with given input values -> 84.375 = (3*80*0.18)/(2*0.1*(0.0016^2)).

FAQ

What is Modulus of Rupture of rectangular sample in three-point bending?
Modulus of Rupture of rectangular sample in three-point bending can be used to calculate the tensile strength of concrete beams or slabs when the maximum load is applied over the centre one third portion of the section and is represented as fr = (3*Ff*L)/(2*B*(T^2)) or Modulus of rupture of the concrete = (3*Load at fracture point*Length of section)/(2*Width of Section*(Average Section Thickness^2)). Load at fracture point is the force at the breaking limit of a material beyond which if further load is applied, it will rupture and break apart, Length of section is the the longer or longest dimension of the section, Width of Section is the width of the rectangular cross-section of the beam parallel to the axis in consideration & Average section thickness is the average thickness of sections of casting through where metal flows.
How to calculate Modulus of Rupture of rectangular sample in three-point bending?
Modulus of Rupture of rectangular sample in three-point bending can be used to calculate the tensile strength of concrete beams or slabs when the maximum load is applied over the centre one third portion of the section is calculated using Modulus of rupture of the concrete = (3*Load at fracture point*Length of section)/(2*Width of Section*(Average Section Thickness^2)). To calculate Modulus of Rupture of rectangular sample in three-point bending, you need Load at fracture point (Ff), Length of section (L), Width of Section (B) & Average Section Thickness (T). With our tool, you need to enter the respective value for Load at fracture point, Length of section, Width of Section & Average Section Thickness and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Modulus of rupture of the concrete?
In this formula, Modulus of rupture of the concrete uses Load at fracture point, Length of section, Width of Section & Average Section Thickness. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Modulus of rupture of the concrete = (Load at fracture point*Length of section)/(Width of Section*(Average Section Thickness^2))
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