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)
σm = (σcl-σf*Vf)/(1-Vf)
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, that is aligned and continuous fiber reinforced composite.
Tensile Strength of Fiber - (Measured in Pascal) - Tensile Strength of Fiber in the fiber-reinforced composite.
Volume Fraction of Fiber - Volume Fraction of Fiber in fiber reinforced composite.
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
σm = (σclf*Vf)/(1-Vf) --> (31825000-6375000*0.6)/(1-0.6)
Evaluating ... ...
σm = 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 00.020 seconds)

Credits

Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
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Verified by Nishan Poojary
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)

Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite Formula

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

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 σm 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 cl), Tensile Strength of Fiber f) & Volume Fraction of Fiber (Vf) 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 σm = (σclf*Vf)/(1-Vf) 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, that is aligned and continuous fiber reinforced composite, Tensile Strength of Fiber in the fiber-reinforced composite & Volume Fraction of Fiber in fiber reinforced composite.
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 cl), Tensile Strength of Fiber f) & Volume Fraction of Fiber (Vf). 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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