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Fiber Diameter given Critical Fiber Length Formula

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Fiber Diameter refers to the width or diameter of the individual fibers within a material, such as in composite materials or textiles. Check FAQs

d = \frac{l c \cdot 2 \cdot τ}{σ f}

d - Fiber Diameter?l_c - Critical Fiber Length?τ - Fiber Matrix Bonding Strength?σ_f - Tensile Strength of Fiber?

Fiber Diameter given Critical Fiber Length Example

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Here is how the Fiber Diameter given Critical Fiber Length equation looks like with Values.

Here is how the Fiber Diameter given Critical Fiber Length equation looks like with Units.

Here is how the Fiber Diameter given Critical Fiber Length equation looks like.

10 = \frac{10.625 \cdot 2 \cdot 3}{6.375}

10mm = \frac{10.625mm \cdot 2 \cdot 3MPa}{6.375MPa}

10 = \frac{10.625 \cdot 2 \cdot 3}{6.375}

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Fiber Diameter given Critical Fiber Length Solution

Follow our step by step solution on how to calculate Fiber Diameter given Critical Fiber Length?

FIRST Step Consider the formula

d = \frac{l c \cdot 2 \cdot τ}{σ f}

Next Step Substitute values of Variables

∴

d = \frac{10.625mm \cdot 2 \cdot 3MPa}{6.375MPa}

Next Step Convert Units

∴

d = \frac{0.0106m \cdot 2 \cdot 3E+6Pa}{6.4E+6Pa}

Next Step Prepare to Evaluate

∴

d = \frac{0.0106 \cdot 2 \cdot 3E+6}{6.4E+6}

Next Step Evaluate

∴

d = 0.01m

LAST Step Convert to Output's Unit

∴

d = 10mm

Fiber Diameter given Critical Fiber Length Formula Elements

Variables

Fiber Diameter

Fiber Diameter refers to the width or diameter of the individual fibers within a material, such as in composite materials or textiles.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Fiber Diameter

Critical Fiber Length

Critical Fiber Length that is necessary for effective strengthening and stiffening of the composite material.

Symbol: l_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Critical Fiber Length

Fiber Matrix Bonding Strength

Fiber Matrix Bonding Strength can also be taken as shear yield strength of the matrix.

Symbol: τ

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Fiber Matrix Bonding Strength

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 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-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}

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

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

How to Evaluate Fiber Diameter given Critical Fiber Length?

Fiber Diameter given Critical Fiber Length evaluator uses Fiber Diameter = (Critical Fiber Length*2*Fiber Matrix Bonding Strength)/Tensile Strength of Fiber to evaluate the Fiber Diameter, The Fiber diameter given critical fiber length formula is defined as the diameter required for given strength of material. Fiber Diameter is denoted by d symbol.

How to evaluate Fiber Diameter given Critical Fiber Length using this online evaluator? To use this online evaluator for Fiber Diameter given Critical Fiber Length, enter Critical Fiber Length (l_c), Fiber Matrix Bonding Strength (τ) & Tensile Strength of Fiber (σ_f) and hit the calculate button.

FAQs on Fiber Diameter given Critical Fiber Length

What is the formula to find Fiber Diameter given Critical Fiber Length?

The formula of Fiber Diameter given Critical Fiber Length is expressed as Fiber Diameter = (Critical Fiber Length*2*Fiber Matrix Bonding Strength)/Tensile Strength of Fiber. Here is an example- 10000 = (0.010625*2*3000000)/6375000.

How to calculate Fiber Diameter given Critical Fiber Length?

With Critical Fiber Length (l_c), Fiber Matrix Bonding Strength (τ) & Tensile Strength of Fiber (σ_f) we can find Fiber Diameter given Critical Fiber Length using the formula - Fiber Diameter = (Critical Fiber Length*2*Fiber Matrix Bonding Strength)/Tensile Strength of Fiber.

Can the Fiber Diameter given Critical Fiber Length be negative?

No, the Fiber Diameter given Critical Fiber Length, measured in Length cannot be negative.

Which unit is used to measure Fiber Diameter given Critical Fiber Length?

Fiber Diameter given Critical Fiber Length is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Fiber Diameter given Critical Fiber Length can be measured.

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Fiber Diameter given Critical Fiber Length Formula

Fiber Diameter given Critical Fiber Length Example

Fiber Diameter given Critical Fiber Length Solution

Fiber Diameter given Critical Fiber Length Formula Elements

Other formulas in Polymer Matrix Composites category

How to Evaluate Fiber Diameter given Critical Fiber Length?

FAQs on Fiber Diameter given Critical Fiber Length

Variable Name