Tensile Strength of Fiber from Longitudinal Tensile Strength of Composite Calculator

✖Longitudinal Strength of Composite to its strength along the direction of the fibers or reinforcement.ⓘ Longitudinal Strength of Composite [σ_cl]			+10% -10%
✖Tensile Strength of Matrix is the strength of matrix material used in composite.ⓘ Tensile Strength of Matrix [σ_m]			+10% -10%
✖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.ⓘ Volume Fraction of Fiber [V_f]			+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 from Longitudinal Tensile Strength of Composite [σ_f]

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Formula

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Tensile Strength of Fiber from Longitudinal Tensile Strength of Composite

Formula

`"σ"_{"f"} = ("σ"_{"cl"}-"σ"_{"m"}*(1-"V"_{"f"}))/"V"_{"f"}`

Example

`"6.375MPa"=("31.825MPa"-"70MPa"*(1-"0.6"))/"0.6"`

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Tensile Strength of Fiber from Longitudinal Tensile Strength of Composite Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tensile Strength of Fiber = (Longitudinal Strength of Composite-Tensile Strength of Matrix*(1-Volume Fraction of Fiber))/Volume Fraction of Fiber
σ_f = (σ_cl-σ_m*(1-V_f))/V_f
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.
Longitudinal Strength of Composite - (Measured in Pascal) - Longitudinal Strength of Composite to its strength along the direction of the fibers or reinforcement.
Tensile Strength of Matrix - (Measured in Pascal) - Tensile Strength of Matrix is the strength of matrix material used in composite.
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.

STEP 1: Convert Input(s) to Base Unit

Longitudinal Strength of Composite: 31.825 Megapascal --> 31825000 Pascal (Check conversion here)
Tensile Strength of Matrix: 70 Megapascal --> 70000000 Pascal (Check conversion here)
Volume Fraction of Fiber: 0.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_f = (σ_cl-σ_m*(1-V_f))/V_f --> (31825000-70000000*(1-0.6))/0.6

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 from Longitudinal Tensile Strength of Composite Formula

Tensile Strength of Fiber = (Longitudinal Strength of Composite-Tensile Strength of Matrix*(1-Volume Fraction of Fiber))/Volume Fraction of Fiber
σ_f = (σ_cl-σ_m*(1-V_f))/V_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 Tensile Strength of Fiber from Longitudinal Tensile Strength of Composite?

Tensile Strength of Fiber from Longitudinal Tensile Strength of Composite calculator uses Tensile Strength of Fiber = (Longitudinal Strength of Composite-Tensile Strength of Matrix*(1-Volume Fraction of Fiber))/Volume Fraction of Fiber to calculate the Tensile Strength of Fiber, Tensile Strength of Fiber from Longitudinal Tensile Strength of Composite can be defined in terms of the longitudinal tensile strength of the composite using the rule of mixtures. This rule is a theoretical concept used to estimate the properties of composite materials based on the properties of their individual constituents. Tensile Strength of Fiber is denoted by σ_f symbol.

How to calculate Tensile Strength of Fiber from Longitudinal Tensile Strength of Composite using this online calculator? To use this online calculator for Tensile Strength of Fiber from Longitudinal Tensile Strength of Composite, enter Longitudinal Strength of Composite (σ_cl), Tensile Strength of Matrix (σ_m) & Volume Fraction of Fiber (V_f) and hit the calculate button. Here is how the Tensile Strength of Fiber from Longitudinal Tensile Strength of Composite calculation can be explained with given input values -> 6.4E-6 = (31825000-70000000*(1-0.6))/0.6.

FAQ

What is Tensile Strength of Fiber from Longitudinal Tensile Strength of Composite?

Tensile Strength of Fiber from Longitudinal Tensile Strength of Composite can be defined in terms of the longitudinal tensile strength of the composite using the rule of mixtures. This rule is a theoretical concept used to estimate the properties of composite materials based on the properties of their individual constituents and is represented as σ_f = (σ_cl-σ_m*(1-V_f))/V_f or Tensile Strength of Fiber = (Longitudinal Strength of Composite-Tensile Strength of Matrix*(1-Volume Fraction of Fiber))/Volume Fraction of Fiber. Longitudinal Strength of Composite to its strength along the direction of the fibers or reinforcement, Tensile Strength of Matrix is the strength of matrix material used in composite & 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.

How to calculate Tensile Strength of Fiber from Longitudinal Tensile Strength of Composite?

Tensile Strength of Fiber from Longitudinal Tensile Strength of Composite can be defined in terms of the longitudinal tensile strength of the composite using the rule of mixtures. This rule is a theoretical concept used to estimate the properties of composite materials based on the properties of their individual constituents is calculated using Tensile Strength of Fiber = (Longitudinal Strength of Composite-Tensile Strength of Matrix*(1-Volume Fraction of Fiber))/Volume Fraction of Fiber. To calculate Tensile Strength of Fiber from Longitudinal Tensile Strength of Composite, you need Longitudinal Strength of Composite (σ_cl), Tensile Strength of Matrix (σ_m) & Volume Fraction of Fiber (V_f). With our tool, you need to enter the respective value for Longitudinal Strength of Composite, Tensile Strength of Matrix & Volume Fraction of Fiber 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 Longitudinal Strength of Composite, Tensile Strength of Matrix & Volume Fraction of Fiber. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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