Tensile Strength of Fiber 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%
✖Fiber Diameter refers to the width or diameter of the individual fibers within a material, such as in composite materials or textiles.ⓘ Fiber Diameter [d]			+10% -10%

✖Tensile Strength of Fiber refers to the maximum stress a material can withstand while being stretched or pulled before breaking.ⓘ Tensile Strength of Fiber given Critical Fiber Length [σ_f]

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Formula

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Tensile Strength of Fiber given Critical Fiber Length

Formula

`"σ"_{"f"} = (2*"l"_{"c"}*"τ")/"d"`

Example

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

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Tensile Strength of Fiber given Critical Fiber Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Tensile Strength of Fiber - (Measured in Pascal) - Tensile Strength of Fiber refers to the maximum stress a material can withstand while being stretched or pulled before breaking.
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.
Fiber Diameter - (Measured in Meter) - Fiber Diameter refers to the width or diameter of the individual fibers within a material, such as in composite materials or textiles.

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)
Fiber Diameter: 10 Millimeter --> 0.01 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_f = (2*l_c*τ)/d --> (2*0.010625*3000000)/0.01

Evaluating ... ...

σ_f = 6375000

STEP 3: Convert Result to Output's Unit

6375000 Pascal -->6.375 Megapascal (Check conversion here)

FINAL ANSWER

6.375 Megapascal <-- Tensile Strength of Fiber

(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 EM 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)

Tensile Strength of Fiber given Critical Fiber Length Formula

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

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 Tensile Strength of Fiber given Critical Fiber Length?

Tensile Strength of Fiber given Critical Fiber Length calculator uses Tensile Strength of Fiber = (2*Critical Fiber Length*Fiber Matrix Bonding Strength)/Fiber Diameter to calculate the Tensile Strength of Fiber, The Tensile Strength of Fiber given Critical Fiber Length formula is defined as the strength of fiber before rupture. Tensile Strength of Fiber is denoted by σ_f symbol.

How to calculate Tensile Strength of Fiber given Critical Fiber Length using this online calculator? To use this online calculator for Tensile Strength of Fiber given Critical Fiber Length, enter Critical Fiber Length (l_c), Fiber Matrix Bonding Strength (τ) & Fiber Diameter (d) and hit the calculate button. Here is how the Tensile Strength of Fiber given Critical Fiber Length calculation can be explained with given input values -> 6.4E-6 = (2*0.010625*3000000)/0.01.

FAQ

What is Tensile Strength of Fiber given Critical Fiber Length?

The Tensile Strength of Fiber given Critical Fiber Length formula is defined as the strength of fiber before rupture and is represented as σ_f = (2*l_c*τ)/d or Tensile Strength of Fiber = (2*Critical Fiber Length*Fiber Matrix Bonding Strength)/Fiber Diameter. 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 & Fiber Diameter refers to the width or diameter of the individual fibers within a material, such as in composite materials or textiles.

How to calculate Tensile Strength of Fiber given Critical Fiber Length?

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

How many ways are there to calculate Tensile Strength of Fiber?

In this formula, Tensile Strength of Fiber uses Critical Fiber Length, Fiber Matrix Bonding Strength & Fiber Diameter. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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