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

Search
Home	Engineering ↺
Engineering	Civil ↺
Civil	Concrete ↺
Concrete	Mix Design ↺

✖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.ⓘ Load at fracture point [F_f]			+10% -10%
✖Length of section is the the longer or longest dimension of the section.ⓘ Length of section [L]			+10% -10%
✖Width of Section is the width of the rectangular cross-section of the beam parallel to the axis in consideration.ⓘ Width of Section [B]			+10% -10%
✖Average section thickness is the average thickness of sections of casting through where metal flows.ⓘ Average Section Thickness [T]			+10% -10%

✖Modulus of Rupture of Concrete Threepoint bending is a measure of the tensile strength of concrete beams or slabs.ⓘ Modulus of Rupture of rectangular sample in three-point bending [f_3ptr]

⎘ Copy

👎

Formula

Reset

👍

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

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Rupture of Concrete Threepoint bending = (3*Load at fracture point*Length of section)/(2*Width of Section*(Average Section Thickness^2))
f_3ptr = (3*F_f*L)/(2*B*(T^2))
This formula uses 5 Variables

Variables Used

Modulus of Rupture of Concrete Threepoint bending - (Measured in Pascal) - Modulus of Rupture of Concrete Threepoint bending 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

f_3ptr = (3*F_f*L)/(2*B*(T^2)) --> (3*80*0.18)/(2*0.1*(0.0016^2))

Evaluating ... ...

f_3ptr = 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 Concrete Threepoint bending

(Calculation completed in 00.031 seconds)

You are here -

Home » Engineering » Civil » Concrete » Mix Design » Modulus of Rupture of rectangular sample in three-point bending

Credits

Created by Swarnima Singh

NIT Jaipur (mnitj), jaipur

Swarnima Singh has created this Calculator and 10+ more calculators!

Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has verified this Calculator and 800+ more calculators!

< 7 Mix Design Calculators

Modulus of Rupture of rectangular sample in three-point bending

Modulus of Rupture of Concrete Threepoint bending = (3*Load at fracture point*Length of section)/(2*Width of Section*(Average Section Thickness^2)) Go

Modulus of Rupture of rectangular sample in four-point bending

Modulus of Rupture of Concrete Fourpoint bending = (Load at fracture point*Length of section)/(Width of Section*(Average Section Thickness^2)) Go

Gel-Space Ratio for Complete Hydration

Gel Space Ratio = (0.657*Mass Of Cement)/((0.319*Mass Of Cement)+Volume Of Mixing Water) Go

Volume of products of hydration per unit of dry cement

Volume of Solid Products of Hydration = (Volume of Hydrated Cement/Absolute Volume of Dry Cement actually Hydrated) Go

Target Mean Strength for Mix Design

Target Average Compressive Strength = Characteristic compressive strength+(1.65*Standard Deviation of distribution) Go

Volume of Empty Capillary Pores

Volume of Empty Capillary Pores = (Volume of Capillary Pores-Volume of Water Filled Capillary Pores) Go

Modulus of Elasticity of Concrete

Elastic Modulus of concrete for mix design = 5000*(Characteristics Compressive Strength of Concrete)^0.5 Go

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

Modulus of Rupture of Concrete Threepoint bending = (3*Load at fracture point*Length of section)/(2*Width of Section*(Average Section Thickness^2))
f_3ptr = (3*F_f*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 Concrete Threepoint bending = (3*Load at fracture point*Length of section)/(2*Width of Section*(Average Section Thickness^2)) to calculate the Modulus of Rupture of Concrete Threepoint 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. Modulus of Rupture of Concrete Threepoint bending is denoted by f_3ptr 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 (F_f), 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 f_3ptr = (3*F_f*L)/(2*B*(T^2)) or Modulus of Rupture of Concrete Threepoint bending = (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 Concrete Threepoint bending = (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 (F_f), 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.

Facebook
Twitter
WhatsApp
Reddit
LinkedIn
E-Mail

Let Others Know

✖

Facebook

Twitter

Copied!