LCM of two numbers

Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite Calculator

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Polymer Matrix Composites Elastic Modulus

✖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 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%
✖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 Matrix is the strength of matrix material used in composite.ⓘ Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite [σ_m]

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Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tensile Strength of Matrix = (Longitudinal Strength of Composite-Tensile Strength of Fiber*Volume Fraction of Fiber)/(1-Volume Fraction of Fiber)
σ_m = (σ_cl-σ_f*V_f)/(1-V_f)
This formula uses 4 Variables

Variables Used

Tensile Strength of Matrix - (Measured in Pascal) - Tensile Strength of Matrix is the strength of matrix material used in composite.
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 Fiber - (Measured in Pascal) - Tensile Strength of Fiber refers to the maximum stress a material can withstand while being stretched or pulled before breaking.
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 Fiber: 6.375 Megapascal --> 6375000 Pascal (Check conversion here)
Volume Fraction of Fiber: 0.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_m = (σ_cl-σ_f*V_f)/(1-V_f) --> (31825000-6375000*0.6)/(1-0.6)

Evaluating ... ...

σ_m = 70000000

STEP 3: Convert Result to Output's Unit

70000000 Pascal -->70 Megapascal (Check conversion here)

FINAL ANSWER

70 Megapascal <-- Tensile Strength of Matrix

(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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< 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

Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite Formula

LaTeX Go

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

Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite calculator uses Tensile Strength of Matrix = (Longitudinal Strength of Composite-Tensile Strength of Fiber*Volume Fraction of Fiber)/(1-Volume Fraction of Fiber) to calculate the Tensile Strength of Matrix, The Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite formula is defined as the strength of the material used in composite. Tensile Strength of Matrix is denoted by σ_m symbol.

How to calculate Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite using this online calculator? To use this online calculator for Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite, enter Longitudinal Strength of Composite (σ_cl), Tensile Strength of Fiber (σ_f) & Volume Fraction of Fiber (V_f) and hit the calculate button. Here is how the Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite calculation can be explained with given input values -> 7E-5 = (31825000-6375000*0.6)/(1-0.6).

FAQ

What is Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite?

The Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite formula is defined as the strength of the material used in composite and is represented as σ_m = (σ_cl-σ_f*V_f)/(1-V_f) or Tensile Strength of Matrix = (Longitudinal Strength of Composite-Tensile Strength of Fiber*Volume Fraction of Fiber)/(1-Volume Fraction of Fiber). Longitudinal Strength of Composite to its strength along the direction of the fibers or reinforcement, Tensile Strength of Fiber refers to the maximum stress a material can withstand while being stretched or pulled before breaking & 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 Matrix given Longitudinal Tensile Strength of Composite?

The Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite formula is defined as the strength of the material used in composite is calculated using Tensile Strength of Matrix = (Longitudinal Strength of Composite-Tensile Strength of Fiber*Volume Fraction of Fiber)/(1-Volume Fraction of Fiber). To calculate Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite, you need Longitudinal Strength of Composite (σ_cl), Tensile Strength of Fiber (σ_f) & Volume Fraction of Fiber (V_f). With our tool, you need to enter the respective value for Longitudinal Strength of Composite, Tensile Strength of Fiber & 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.

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