Modulus of Rupture of Rectangular Sample in Three-Point Bending Formula

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Modulus of Rupture of Concrete Threepoint bending is a measure of the tensile strength of concrete beams or slabs. Check FAQs
f3ptr=3FfL2B(T2)
f3ptr - Modulus of Rupture of Concrete Threepoint bending?Ff - Load at Fracture Point?L - Length of Section?B - Width of Section?T - Average Section Thickness?

Modulus of Rupture of Rectangular Sample in Three-Point Bending Example

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Here is how the Modulus of Rupture of Rectangular Sample in Three-Point Bending equation looks like with Values.

Here is how the Modulus of Rupture of Rectangular Sample in Three-Point Bending equation looks like with Units.

Here is how the Modulus of Rupture of Rectangular Sample in Three-Point Bending equation looks like.

84.375Edit=380Edit180Edit2100Edit(1.6Edit2)
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Modulus of Rupture of Rectangular Sample in Three-Point Bending Solution

Follow our step by step solution on how to calculate Modulus of Rupture of Rectangular Sample in Three-Point Bending?

FIRST Step Consider the formula
f3ptr=3FfL2B(T2)
Next Step Substitute values of Variables
f3ptr=380N180mm2100mm(1.6mm2)
Next Step Convert Units
f3ptr=380N0.18m20.1m(0.0016m2)
Next Step Prepare to Evaluate
f3ptr=3800.1820.1(0.00162)
Next Step Evaluate
f3ptr=84375000Pa
LAST Step Convert to Output's Unit
f3ptr=84.375MPa

Modulus of Rupture of Rectangular Sample in Three-Point Bending Formula Elements

Variables
Modulus of Rupture of Concrete Threepoint bending
Modulus of Rupture of Concrete Threepoint bending is a measure of the tensile strength of concrete beams or slabs.
Symbol: f3ptr
Measurement: PressureUnit: MPa
Note: Value should be greater than 0.
Load at Fracture Point
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.
Symbol: Ff
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Length of Section
Length of Section is the the longer or longest dimension of the section.
Symbol: L
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Width of Section
Width of Section is the width of the rectangular cross-section of the beam parallel to the axis in consideration.
Symbol: B
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Average Section Thickness
Average Section Thickness is the average thickness of sections of casting through which metal flows.
Symbol: T
Measurement: LengthUnit: mm
Note: Value should be greater than 0.

Other formulas in Modulus of Rupture category

​Go Modulus of Rupture of Rectangular Sample in Four-Point Bending
f4ptr=FfLB(T2)

How to Evaluate Modulus of Rupture of Rectangular Sample in Three-Point Bending?

Modulus of Rupture of Rectangular Sample in Three-Point Bending evaluator 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 evaluate the Modulus of Rupture of Concrete Threepoint bending, The Modulus of Rupture of Rectangular Sample in Three-Point Bending formula is defined as it 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 f3ptr symbol.

How to evaluate Modulus of Rupture of Rectangular Sample in Three-Point Bending using this online evaluator? To use this online evaluator 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.

FAQs on Modulus of Rupture of Rectangular Sample in Three-Point Bending

What is the formula to find Modulus of Rupture of Rectangular Sample in Three-Point Bending?
The formula of Modulus of Rupture of Rectangular Sample in Three-Point Bending is expressed as Modulus of Rupture of Concrete Threepoint bending = (3*Load at Fracture Point*Length of Section)/(2*Width of Section*(Average Section Thickness^2)). Here is an example- 8.4E-5 = (3*80*0.18)/(2*0.1*(0.0016^2)).
How to calculate Modulus of Rupture of Rectangular Sample in Three-Point Bending?
With Load at Fracture Point (Ff), Length of Section (L), Width of Section (B) & Average Section Thickness (T) we can find Modulus of Rupture of Rectangular Sample in Three-Point Bending using the formula - Modulus of Rupture of Concrete Threepoint bending = (3*Load at Fracture Point*Length of Section)/(2*Width of Section*(Average Section Thickness^2)).
Can the Modulus of Rupture of Rectangular Sample in Three-Point Bending be negative?
No, the Modulus of Rupture of Rectangular Sample in Three-Point Bending, measured in Pressure cannot be negative.
Which unit is used to measure Modulus of Rupture of Rectangular Sample in Three-Point Bending?
Modulus of Rupture of Rectangular Sample in Three-Point Bending is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Modulus of Rupture of Rectangular Sample in Three-Point Bending can be measured.
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