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Longitudinal Strength of Composite Calculator

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✖Stress in Matrix is the stress at the failure of composite.ⓘ Stress in Matrix [τ_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 [σ_f]			+10% -10%

✖Longitudinal Strength of Composite to its strength along the direction of the fibers or reinforcement.ⓘ Longitudinal Strength of Composite [σ_cl]

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Longitudinal Strength of Composite Solution

STEP 0: Pre-Calculation Summary

Formula Used

Longitudinal Strength of Composite = Stress in Matrix*(1-Volume Fraction of Fiber)+Tensile Strength of Fiber*Volume Fraction of Fiber
σ_cl = τ_m*(1-V_f)+σ_f*V_f
This formula uses 4 Variables

Variables Used

Longitudinal Strength of Composite - (Measured in Pascal) - Longitudinal Strength of Composite to its strength along the direction of the fibers or reinforcement.
Stress in Matrix - (Measured in Pascal) - Stress in Matrix is the stress at the failure of 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.
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.

STEP 1: Convert Input(s) to Base Unit

Stress in Matrix: 70.1 Megapascal --> 70100000 Pascal (Check conversion here)
Volume Fraction of Fiber: 0.6 --> No Conversion Required
Tensile Strength of Fiber: 6.375 Megapascal --> 6375000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_cl = τ_m*(1-V_f)+σ_f*V_f --> 70100000*(1-0.6)+6375000*0.6

Evaluating ... ...

σ_cl = 31865000

STEP 3: Convert Result to Output's Unit

31865000 Pascal -->31.865 Megapascal (Check conversion here)

FINAL ANSWER

31.865 Megapascal <-- Longitudinal Strength of Composite

(Calculation completed in 00.004 seconds)

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Created by Hariharan V S

Indian Institute of Technology (IIT), Chennai

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LaTeX Go Young's modulus of porous material = Young's modulus of non-porous material*(1-(0.019*Volume Percent of Porosity)+(0.00009*Volume Percent of Porosity*Volume Percent of Porosity))

Schottky Defect Concentration

LaTeX Go Number of Schottky Defects = Number of atomic sites*exp(-Activation energy for Schottky formation/(2*Universal Gas Constant*Temperature))

Critical Fiber Length

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

Young's Modulus from shear modulus

LaTeX Go Young's Modulus = 2*Shear Modulus*(1+Poisson's Ratio)

< Polymer Matrix Composites Calculators

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

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

Fiber-Matrix Bonding Strength given Critical Length of Fiber

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

Tensile Strength of Fiber given Critical Fiber Length

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

Fiber Diameter given Critical Fiber Length

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

Longitudinal Strength of Composite Formula

LaTeX Go

Longitudinal Strength of Composite = Stress in Matrix*(1-Volume Fraction of Fiber)+Tensile Strength of Fiber*Volume Fraction of Fiber
σ_cl = τ_m*(1-V_f)+σ_f*V_f

Assumptions used

If it is assumed that strain on fiber is more than strain on matrix, then fibers
will fail before the matrix. Once the fibers have fractured, the majority of the load that was borne by the fibers is now transferred to the matrix.

How to Calculate Longitudinal Strength of Composite?

Longitudinal Strength of Composite calculator uses Longitudinal Strength of Composite = Stress in Matrix*(1-Volume Fraction of Fiber)+Tensile Strength of Fiber*Volume Fraction of Fiber to calculate 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 calculate Longitudinal Strength of Composite using this online calculator? To use this online calculator 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. Here is how the Longitudinal Strength of Composite calculation can be explained with given input values -> 3.2E-5 = 70100000*(1-0.6)+6375000*0.6.

FAQ

What is 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 and is represented as σ_cl = τ_m*(1-V_f)+σ_f*V_f or Longitudinal Strength of Composite = Stress in Matrix*(1-Volume Fraction of Fiber)+Tensile Strength of Fiber*Volume Fraction of Fiber. Stress in Matrix is the stress at the failure of 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 & Tensile Strength of Fiber refers to the maximum stress a material can withstand while being stretched or pulled before breaking.

How to calculate 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 is calculated using Longitudinal Strength of Composite = Stress in Matrix*(1-Volume Fraction of Fiber)+Tensile Strength of Fiber*Volume Fraction of Fiber. To calculate Longitudinal Strength of Composite, you need Stress in Matrix (τ_m), Volume Fraction of Fiber (V_f) & Tensile Strength of Fiber (σ_f). With our tool, you need to enter the respective value for Stress in Matrix, Volume Fraction of Fiber & 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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