Fiber Diameter given Critical Fiber Length Calculator

✖Critical fiber length that is necessary for effective strengthening and stiffening of the composite material.ⓘ Critical Fiber Length [l_c]			+10% -10%
✖Fiber-Matrix Bonding Strength can also be taken as shear yield strength of the matrix.ⓘ Fiber-Matrix Bonding Strength [τ]			+10% -10%
✖Tensile Strength of Fiber in the fiber-reinforced composite.ⓘ Tensile Strength of Fiber [σ_f]			+10% -10%

✖Fiber Diameter in the fiber-reinforced composites.ⓘ Fiber Diameter given Critical Fiber Length [d]

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Fiber Diameter given Critical Fiber Length

Formula

`"d" = ("l"_{"c"}*2*"τ")/"σ"_{"f"}`

Example

`"10mm"=("10.625mm"*2*"3MPa")/"6.375MPa"`

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Fiber Diameter given Critical Fiber Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Fiber Diameter = (Critical Fiber Length*2*Fiber-Matrix Bonding Strength)/Tensile Strength of Fiber
d = (l_c*2*τ)/σ_f
This formula uses 4 Variables

Variables Used

Fiber Diameter - (Measured in Meter) - Fiber Diameter in the fiber-reinforced composites.
Critical Fiber Length - (Measured in Meter) - Critical fiber length that is necessary for effective strengthening and stiffening of the composite material.
Fiber-Matrix Bonding Strength - (Measured in Pascal) - Fiber-Matrix Bonding Strength can also be taken as shear yield strength of the matrix.
Tensile Strength of Fiber - (Measured in Pascal) - Tensile Strength of Fiber in the fiber-reinforced composite.

STEP 1: Convert Input(s) to Base Unit

Critical Fiber Length: 10.625 Millimeter --> 0.010625 Meter (Check conversion here)
Fiber-Matrix Bonding Strength: 3 Megapascal --> 3000000 Pascal (Check conversion here)
Tensile Strength of Fiber: 6.375 Megapascal --> 6375000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = (l_c*2*τ)/σ_f --> (0.010625*2*3000000)/6375000

Evaluating ... ...

d = 0.01

STEP 3: Convert Result to Output's Unit

0.01 Meter -->10 Millimeter (Check conversion here)

FINAL ANSWER

10 Millimeter <-- Fiber Diameter

(Calculation completed in 00.004 seconds)

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Created by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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< 12 Polymer Matrix Composites Calculators

Volume Fraction of Matrix from EM of Composite (Transverse direction)

Go Volume Fraction of Matrix = Elastic Modulus of Matrix/Elastic Modulus Composite (Transverse Direction)-(Elastic Modulus of Matrix*Volume Fraction of Fiber)/Elastic Modulus of Fiber

Volume Fraction of Fiber from EM of Composite (Transverse Direction)

Go Volume Fraction of Fiber = Elastic Modulus of Fiber/Elastic Modulus Composite (Transverse Direction)-(Volume Fraction of Matrix*Elastic Modulus of Fiber)/Elastic Modulus of Matrix

Volume Fraction of Matrix from E of Composite (Longitudinal Direction)

Go Volume Fraction of Matrix = (Elastic Modulus Composite (Longitudinal Direction)-Elastic Modulus of Fiber*Volume Fraction of Fiber)/Elastic Modulus of Matrix

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

Go Volume Fraction of Fiber = (Elastic Modulus Composite (Longitudinal Direction)-Elastic Modulus of Matrix*Volume Fraction of Matrix)/Elastic Modulus of Fiber

Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite

Go Tensile Strength of Matrix = (Longitudinal Strength of Composite-Tensile Strength of Fiber*Volume Fraction of Fiber)/(1-Volume Fraction of Fiber)

Tensile Strength of Fiber from Longitudinal Tensile Strength of Composite

Go Tensile Strength of Fiber = (Longitudinal Strength of Composite-Tensile Strength of Matrix*(1-Volume Fraction of Fiber))/Volume Fraction of Fiber

Volume Fraction of Fiber from Longitudinal Tensile Strength of Composite

Go Volume Fraction of Fiber = (Tensile Strength of Matrix-Longitudinal Strength of Composite)/(Tensile Strength of Matrix-Tensile Strength of Fiber)

Longitudinal Strength of Composite

Go Longitudinal Strength of Composite = Stress in Matrix*(1-Volume Fraction of Fiber)+Tensile Strength of Fiber*Volume Fraction of Fiber

Fiber-Matrix Bonding Strength given Critical Length of Fiber

Go Fiber-Matrix Bonding Strength = (Tensile Strength of Fiber*Fiber Diameter)/(2*Critical Fiber Length)

Tensile Strength of Fiber given Critical Fiber Length

Go Tensile Strength of Fiber = (2*Critical Fiber Length*Fiber-Matrix Bonding Strength)/Fiber Diameter

Fiber Diameter given Critical Fiber Length

Go Fiber Diameter = (Critical Fiber Length*2*Fiber-Matrix Bonding Strength)/Tensile Strength of Fiber

Critical Fiber Length

Go Critical Fiber Length = Tensile Strength of Fiber*Fiber Diameter/(2*Critical Shear Stress)

Fiber Diameter given Critical Fiber Length Formula

Fiber Diameter = (Critical Fiber Length*2*Fiber-Matrix Bonding Strength)/Tensile Strength of Fiber
d = (l_c*2*τ)/σ_f

What are polymer matrix composites (PMC)?

Polymer matrix composites have organic polymer matrix with strengthening fibers in the matrix. Matrix holds and protects the fibers in place while transmitting the load to them. Advanced composites are a class of Polymer matrix composites that have high mechanical properties (strength and stiffness) compared to the normal reinforced plastics and are used in aerospace applications. Reinforced plastics are relatively inexpensive and are widely used.

How to Calculate Fiber Diameter given Critical Fiber Length?

Fiber Diameter given Critical Fiber Length calculator uses Fiber Diameter = (Critical Fiber Length*2*Fiber-Matrix Bonding Strength)/Tensile Strength of Fiber to calculate 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 calculate Fiber Diameter given Critical Fiber Length using this online calculator? To use this online calculator 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. Here is how the Fiber Diameter given Critical Fiber Length calculation can be explained with given input values -> 375 = (0.010625*2*3000000)/6375000.

FAQ

What is Fiber Diameter given Critical Fiber Length?

The Fiber diameter given critical fiber length formula is defined as the diameter required for given strength of material and is represented as d = (l_c*2*τ)/σ_f or Fiber Diameter = (Critical Fiber Length*2*Fiber-Matrix Bonding Strength)/Tensile Strength of Fiber. Critical fiber length that is necessary for effective strengthening and stiffening of the composite material, Fiber-Matrix Bonding Strength can also be taken as shear yield strength of the matrix & Tensile Strength of Fiber in the fiber-reinforced composite.

How to calculate Fiber Diameter given Critical Fiber Length?

The Fiber diameter given critical fiber length formula is defined as the diameter required for given strength of material is calculated using Fiber Diameter = (Critical Fiber Length*2*Fiber-Matrix Bonding Strength)/Tensile Strength of Fiber. To calculate Fiber Diameter given Critical Fiber Length, you need Critical Fiber Length (l_c), Fiber-Matrix Bonding Strength (τ) & Tensile Strength of Fiber (σ_f). With our tool, you need to enter the respective value for Critical Fiber Length, Fiber-Matrix Bonding Strength & Tensile Strength of Fiber and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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