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Longitudinal strength of discontinuous fiber-reinforced composite Calculator

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✖Tensile Strength of Fiber in the fiber-reinforced composite.ⓘ Tensile Strength of Fiber [σ_f]			+10% -10%
✖Volume Fraction of Fiber in fiber reinforced composite.ⓘ Volume Fraction of Fiber [V_f]			+10% -10%
✖Critical fiber length that is necessary for effective strengthening and stiffening of the composite material.ⓘ Critical Fiber Length [l_c]			+10% -10%
✖Fiber length is a statistical average length of fibers present in the composite.ⓘ Fiber length [l]			+10% -10%
✖Stress in matrix is the stress at the failure of composite.ⓘ Stress in Matrix [τ_m]			+10% -10%

✖Longitudinal strength of composite(discontinous fiber) that is discontinuous and aligned fiber matrix composite. The length of fiber is greater than the critical length.ⓘ Longitudinal strength of discontinuous fiber-reinforced composite [σ_cd]

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Longitudinal strength of discontinuous fiber-reinforced composite Solution

STEP 0: Pre-Calculation Summary

Formula Used

Longitudinal strength of composite(discontinous fiber) = Tensile Strength of Fiber*Volume Fraction of Fiber*(1-(Critical Fiber Length/(2*Fiber length)))+Stress in Matrix*(1-Volume Fraction of Fiber)
σ_cd = σ_f*V_f*(1-(l_c/(2*l)))+τ_m*(1-V_f)
This formula uses 6 Variables

Variables Used

Longitudinal strength of composite(discontinous fiber) - (Measured in Pascal) - Longitudinal strength of composite(discontinous fiber) that is discontinuous and aligned fiber matrix composite. The length of fiber is greater than the critical length.
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.
Critical Fiber Length - (Measured in Meter) - Critical fiber length that is necessary for effective strengthening and stiffening of the composite material.
Fiber length - (Measured in Meter) - Fiber length is a statistical average length of fibers present in the composite.
Stress in Matrix - (Measured in Pascal) - Stress in matrix is the stress at the failure of composite.

STEP 1: Convert Input(s) to Base Unit

Tensile Strength of Fiber: 170 Megapascal --> 170000000 Pascal (Check conversion here)
Volume Fraction of Fiber: 0.5 --> No Conversion Required
Critical Fiber Length: 0.25 Millimeter --> 0.00025 Meter (Check conversion here)
Fiber length: 0.001 Meter --> 0.001 Meter No Conversion Required
Stress in Matrix: 70 Megapascal --> 70000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_cd = σ_f*V_f*(1-(l_c/(2*l)))+τ_m*(1-V_f) --> 170000000*0.5*(1-(0.00025/(2*0.001)))+70000000*(1-0.5)

Evaluating ... ...

σ_cd = 109375000

STEP 3: Convert Result to Output's Unit

109375000 Pascal -->109.375 Megapascal (Check conversion here)

FINAL ANSWER

109.375 Megapascal <-- Longitudinal strength of composite(discontinous fiber)

(Calculation completed in 00.004 seconds)

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Indian Institute of Technology (IIT), Chennai

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Longitudinal strength of discontinuous fiber-reinforced composite Formula

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Discontinuous and Aligned Fiber reinforced composites

Even though reinforcement efficiency is lower for discontinuous than for continuous fibers, discontinuous and aligned fiber composites are becoming
increasingly more important in the commercial market. Chopped glass fibers are
used most extensively; however, carbon and aramid discontinuous fibers are also
employed.These short fiber composites can be produced having moduli of elasticity
and tensile strengths that approach 90% and 50%, respectively, of their continuous
fiber counterparts.

How to Calculate Longitudinal strength of discontinuous fiber-reinforced composite?

Longitudinal strength of discontinuous fiber-reinforced composite calculator uses Longitudinal strength of composite(discontinous fiber) = Tensile Strength of Fiber*Volume Fraction of Fiber*(1-(Critical Fiber Length/(2*Fiber length)))+Stress in Matrix*(1-Volume Fraction of Fiber) to calculate the Longitudinal strength of composite(discontinous fiber), Longitudinal strength of discontinuous fiber-reinforced composite ( the fiber is aligned). Longitudinal strength of composite(discontinous fiber) is denoted by σ_cd symbol.

How to calculate Longitudinal strength of discontinuous fiber-reinforced composite using this online calculator? To use this online calculator for Longitudinal strength of discontinuous fiber-reinforced composite, enter Tensile Strength of Fiber (σ_f), Volume Fraction of Fiber (V_f), Critical Fiber Length (l_c), Fiber length (l) & Stress in Matrix (τ_m) and hit the calculate button. Here is how the Longitudinal strength of discontinuous fiber-reinforced composite calculation can be explained with given input values -> 0.000109 = 170000000*0.5*(1-(0.00025/(2*0.001)))+70000000*(1-0.5).

FAQ

What is Longitudinal strength of discontinuous fiber-reinforced composite?

Longitudinal strength of discontinuous fiber-reinforced composite ( the fiber is aligned) and is represented as σ_cd = σ_f*V_f*(1-(l_c/(2*l)))+τ_m*(1-V_f) or Longitudinal strength of composite(discontinous fiber) = Tensile Strength of Fiber*Volume Fraction of Fiber*(1-(Critical Fiber Length/(2*Fiber length)))+Stress in Matrix*(1-Volume Fraction of Fiber). Tensile Strength of Fiber in the fiber-reinforced composite, Volume Fraction of Fiber in fiber reinforced composite, Critical fiber length that is necessary for effective strengthening and stiffening of the composite material, Fiber length is a statistical average length of fibers present in the composite & Stress in matrix is the stress at the failure of composite.

How to calculate Longitudinal strength of discontinuous fiber-reinforced composite?

Longitudinal strength of discontinuous fiber-reinforced composite ( the fiber is aligned) is calculated using Longitudinal strength of composite(discontinous fiber) = Tensile Strength of Fiber*Volume Fraction of Fiber*(1-(Critical Fiber Length/(2*Fiber length)))+Stress in Matrix*(1-Volume Fraction of Fiber). To calculate Longitudinal strength of discontinuous fiber-reinforced composite, you need Tensile Strength of Fiber (σ_f), Volume Fraction of Fiber (V_f), Critical Fiber Length (l_c), Fiber length (l) & Stress in Matrix (τ_m). With our tool, you need to enter the respective value for Tensile Strength of Fiber, Volume Fraction of Fiber, Critical Fiber Length, Fiber length & Stress in Matrix 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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