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Longitudinal Strength of Composite Formula

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

σ cl = τ m \cdot (1 - V f) + σ f \cdot V f

σ_cl - Longitudinal Strength of Composite?τ_m - Stress in Matrix?V_f - Volume Fraction of Fiber?σ_f - Tensile Strength of Fiber?

Longitudinal Strength of Composite Example

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With units

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

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

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

31.865 = 70.1 \cdot (1 - 0.6) + 6.375 \cdot 0.6

31.865MPa = 70.1MPa \cdot (1 - 0.6) + 6.375MPa \cdot 0.6

31.865 = 70.1 \cdot (1 - 0.6) + 6.375 \cdot 0.6

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Longitudinal Strength of Composite Solution

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

FIRST Step Consider the formula

σ cl = τ m \cdot (1 - V f) + σ f \cdot V f

Next Step Substitute values of Variables

∴

σ cl = 70.1MPa \cdot (1 - 0.6) + 6.375MPa \cdot 0.6

Next Step Convert Units

∴

σ cl = 7E+7Pa \cdot (1 - 0.6) + 6.4E+6Pa \cdot 0.6

Next Step Prepare to Evaluate

∴

σ cl = 7E+7 \cdot (1 - 0.6) + 6.4E+6 \cdot 0.6

Next Step Evaluate

∴

σ cl = 31865000Pa

LAST Step Convert to Output's Unit

∴

σ cl = 31.865MPa

Longitudinal Strength of Composite Formula Elements

Variables

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

Stress in Matrix

Stress in Matrix is the stress at the failure of composite.

Symbol: τ_m

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Stress in Matrix

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

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

Other formulas in Ceramics and 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 Longitudinal Strength of Composite?

Longitudinal Strength of Composite evaluator uses Longitudinal Strength of Composite = Stress in Matrix*(1-Volume Fraction of Fiber)+Tensile Strength of Fiber*Volume Fraction of Fiber to evaluate the Longitudinal Strength of Composite, Longitudinal Strength of Composite refers to its ability to resist tensile or compressive forces applied along the direction of its fibers. It's a crucial parameter in determining the structural integrity and performance of composite materials, especially in applications where they are subjected to loads parallel to their fiber orientation. Longitudinal Strength of Composite is denoted by σ_cl symbol.

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

FAQs on Longitudinal Strength of Composite

What is the formula to find Longitudinal Strength of Composite?

The formula of Longitudinal Strength of Composite is expressed as Longitudinal Strength of Composite = Stress in Matrix*(1-Volume Fraction of Fiber)+Tensile Strength of Fiber*Volume Fraction of Fiber. Here is an example- 3.2E-5 = 70100000*(1-0.6)+6375000*0.6.

How to calculate Longitudinal Strength of Composite?

With Stress in Matrix (τ_m), Volume Fraction of Fiber (V_f) & Tensile Strength of Fiber (σ_f) we can find Longitudinal Strength of Composite using the formula - Longitudinal Strength of Composite = Stress in Matrix*(1-Volume Fraction of Fiber)+Tensile Strength of Fiber*Volume Fraction of Fiber.

Can the Longitudinal Strength of Composite be negative?

No, the Longitudinal Strength of Composite, measured in Pressure cannot be negative.

Which unit is used to measure Longitudinal Strength of Composite?

Longitudinal 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 Longitudinal Strength of Composite can be measured.

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Longitudinal Strength of Composite Formula

Longitudinal Strength of Composite Example

Longitudinal Strength of Composite Solution

Longitudinal Strength of Composite Formula Elements

Other formulas in Ceramics and Composites category

How to Evaluate Longitudinal Strength of Composite?

FAQs on Longitudinal Strength of Composite

Variable Name