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Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite Formula

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Tensile Strength of Matrix is the strength of matrix material used in composite. Check FAQs

σ m = \frac{σ cl - σ f \cdot V f}{1 - V f}

σ_m - Tensile Strength of Matrix?σ_cl - Longitudinal Strength of Composite?σ_f - Tensile Strength of Fiber?V_f - Volume Fraction of Fiber?

Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite Example

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Here is how the Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite equation looks like with Values.

Here is how the Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite equation looks like with Units.

Here is how the Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite equation looks like.

70 = \frac{31.825 - 6.375 \cdot 0.6}{1 - 0.6}

70MPa = \frac{31.825MPa - 6.375MPa \cdot 0.6}{1 - 0.6}

70 = \frac{31.825 - 6.375 \cdot 0.6}{1 - 0.6}

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Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite Solution

Follow our step by step solution on how to calculate Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite?

FIRST Step Consider the formula

σ m = \frac{σ cl - σ f \cdot V f}{1 - V f}

Next Step Substitute values of Variables

∴

σ m = \frac{31.825MPa - 6.375MPa \cdot 0.6}{1 - 0.6}

Next Step Convert Units

∴

σ m = \frac{3.2E+7Pa - 6.4E+6Pa \cdot 0.6}{1 - 0.6}

Next Step Prepare to Evaluate

∴

σ m = \frac{3.2E+7 - 6.4E+6 \cdot 0.6}{1 - 0.6}

Next Step Evaluate

∴

σ m = 70000000Pa

LAST Step Convert to Output's Unit

∴

σ m = 70MPa

Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite Formula Elements

Variables

Tensile Strength of Matrix

Tensile Strength of Matrix is the strength of matrix material used in composite.

Symbol: σ_m

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Tensile Strength of Matrix

Longitudinal Strength of Composite

Longitudinal Strength of Composite to its strength along the direction of the fibers or reinforcement.

Symbol: σ_cl

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Longitudinal Strength of Composite

Tensile Strength of Fiber

Tensile Strength of Fiber refers to the maximum stress a material can withstand while being stretched or pulled before breaking.

Symbol: σ_f

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Tensile Strength of Fiber

Volume Fraction of Fiber

Volume Fraction of Fiber also known as fiber volume fraction or simply fiber fraction, is a measure of the volume occupied by fibers within a composite material.

Symbol: V_f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Volume Fraction of Fiber

Other formulas in Polymer Matrix Composites category

Go Tensile Strength of Fiber given Critical Fiber Length

σ f = \frac{2 \cdot l c \cdot τ}{d}

Go Fiber Diameter given Critical Fiber Length

d = \frac{l c \cdot 2 \cdot τ}{σ f}

Go Fiber-Matrix Bonding Strength given Critical Length of Fiber

τ = \frac{σ f \cdot d}{2 \cdot l c}

Go Volume Fraction of Matrix from EM of Composite (Longitudinal Direction)

V m = \frac{E cl - E f \cdot V f}{E m}

How to Evaluate Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite?

Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite evaluator uses Tensile Strength of Matrix = (Longitudinal Strength of Composite-Tensile Strength of Fiber*Volume Fraction of Fiber)/(1-Volume Fraction of Fiber) to evaluate the Tensile Strength of Matrix, The Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite formula is defined as the strength of the material used in composite. Tensile Strength of Matrix is denoted by σ_m symbol.

How to evaluate Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite using this online evaluator? To use this online evaluator for Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite, enter Longitudinal Strength of Composite (σ_cl), Tensile Strength of Fiber (σ_f) & Volume Fraction of Fiber (V_f) and hit the calculate button.

FAQs on Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite

What is the formula to find Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite?

The formula of Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite is expressed as Tensile Strength of Matrix = (Longitudinal Strength of Composite-Tensile Strength of Fiber*Volume Fraction of Fiber)/(1-Volume Fraction of Fiber). Here is an example- 7E-5 = (31825000-6375000*0.6)/(1-0.6).

How to calculate Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite?

With Longitudinal Strength of Composite (σ_cl), Tensile Strength of Fiber (σ_f) & Volume Fraction of Fiber (V_f) we can find Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite using the formula - Tensile Strength of Matrix = (Longitudinal Strength of Composite-Tensile Strength of Fiber*Volume Fraction of Fiber)/(1-Volume Fraction of Fiber).

Can the Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite be negative?

Yes, the Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite, measured in Pressure can be negative.

Which unit is used to measure Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite?

Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite can be measured.

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Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite Formula

Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite Example

Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite Solution

Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite Formula Elements

Other formulas in Polymer Matrix Composites category

How to Evaluate Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite?

FAQs on Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite

Variable Name