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

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Modulus of Rupture of Concrete Fourpoint bending is a measure of the tensile strength of concrete beams or slabs. Check FAQs

f 4ptr = \frac{F f \cdot L}{B \cdot (T^{2})}

f_4ptr - Modulus of Rupture of Concrete Fourpoint bending?F_f - Load at Fracture Point?L - Length of Section?B - Width of Section?T - Average Section Thickness?

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

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

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

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

56.25 = \frac{80 \cdot 180}{100 \cdot ({1.6}^{2})}

56.25MPa = \frac{80N \cdot 180mm}{100mm \cdot ({1.6mm}^{2})}

56.25 = \frac{80 \cdot 180}{100 \cdot ({1.6}^{2})}

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Modulus of Rupture of Rectangular Sample in Four-Point Bending Solution

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

FIRST Step Consider the formula

f 4ptr = \frac{F f \cdot L}{B \cdot (T^{2})}

Next Step Substitute values of Variables

∴

f 4ptr = \frac{80N \cdot 180mm}{100mm \cdot ({1.6mm}^{2})}

Next Step Convert Units

∴

f 4ptr = \frac{80N \cdot 0.18m}{0.1m \cdot ({0.0016m}^{2})}

Next Step Prepare to Evaluate

∴

f 4ptr = \frac{80 \cdot 0.18}{0.1 \cdot ({0.0016}^{2})}

Next Step Evaluate

∴

f 4ptr = 56250000Pa

LAST Step Convert to Output's Unit

∴

f 4ptr = 56.25MPa

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

Variables

Modulus of Rupture of Concrete Fourpoint bending

Modulus of Rupture of Concrete Fourpoint bending is a measure of the tensile strength of concrete beams or slabs.

Symbol: f_4ptr

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Rupture of Concrete Fourpoint bending

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: F_f

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Load at Fracture Point

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.

Formulas to find Length of Section

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.

Formulas to find Width of Section

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.

Formulas to find Average Section Thickness

Other formulas in Modulus of Rupture category

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

f 3ptr = \frac{3 \cdot F f \cdot L}{2 \cdot B \cdot (T^{2})}

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

Modulus of Rupture of Rectangular Sample in Four-Point Bending evaluator uses Modulus of Rupture of Concrete Fourpoint bending = (Load at Fracture Point*Length of Section)/(Width of Section*(Average Section Thickness^2)) to evaluate the Modulus of Rupture of Concrete Fourpoint bending, The Modulus of Rupture of Rectangular Sample in Four-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-fourth portion of the section. Modulus of Rupture of Concrete Fourpoint bending is denoted by f_4ptr symbol.

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

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

What is the formula to find Modulus of Rupture of Rectangular Sample in Four-Point Bending?

The formula of Modulus of Rupture of Rectangular Sample in Four-Point Bending is expressed as Modulus of Rupture of Concrete Fourpoint bending = (Load at Fracture Point*Length of Section)/(Width of Section*(Average Section Thickness^2)). Here is an example- 5.6E-5 = (80*0.18)/(0.1*(0.0016^2)).

How to calculate Modulus of Rupture of Rectangular Sample in Four-Point Bending?

With Load at Fracture Point (F_f), Length of Section (L), Width of Section (B) & Average Section Thickness (T) we can find Modulus of Rupture of Rectangular Sample in Four-Point Bending using the formula - Modulus of Rupture of Concrete Fourpoint bending = (Load at Fracture Point*Length of Section)/(Width of Section*(Average Section Thickness^2)).

Can the Modulus of Rupture of Rectangular Sample in Four-Point Bending be negative?

No, the Modulus of Rupture of Rectangular Sample in Four-Point Bending, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of Rupture of Rectangular Sample in Four-Point Bending?

Modulus of Rupture of Rectangular Sample in Four-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 Four-Point Bending can be measured.

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

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

Modulus of Rupture of Rectangular Sample in Four-Point Bending Solution

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

Other formulas in Modulus of Rupture category

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

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

Variable Name