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Young's Modulus of composite in longitudinal direction Calculator

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Ceramics and Composites Mechanical Behaviour and Testing Phase Diagrams and Phase Transformations

✖Young's modulus of matrix in composite.ⓘ Young's modulus of matrix in composite [E_m]			+10% -10%
✖Volume Fraction of Fiber in fiber reinforced composite.ⓘ Volume Fraction of Fiber [V_f]			+10% -10%
✖Young's modulus of fiber in composite (Fiber-reinforced composite).ⓘ Young's modulus of fiber in composite [E_f]			+10% -10%

✖Young's modulus of composite in longitudinal direction, the composite considered here is aligned and fiber reinforced composite.ⓘ Young's Modulus of composite in longitudinal direction [E_cl]

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Young's Modulus of composite in longitudinal direction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Young's modulus of composite in longitudinal direction = Young's modulus of matrix in composite*(1-Volume Fraction of Fiber)+Young's modulus of fiber in composite*Volume Fraction of Fiber
E_cl = E_m*(1-V_f)+E_f*V_f
This formula uses 4 Variables

Variables Used

Young's modulus of composite in longitudinal direction - (Measured in Pascal) - Young's modulus of composite in longitudinal direction, the composite considered here is aligned and fiber reinforced composite.
Young's modulus of matrix in composite - (Measured in Pascal) - Young's modulus of matrix in composite.
Volume Fraction of Fiber - Volume Fraction of Fiber in fiber reinforced composite.
Young's modulus of fiber in composite - (Measured in Pascal) - Young's modulus of fiber in composite (Fiber-reinforced composite).

STEP 1: Convert Input(s) to Base Unit

Young's modulus of matrix in composite: 4 Gigapascal --> 4000000000 Pascal (Check conversion here)
Volume Fraction of Fiber: 0.5 --> No Conversion Required
Young's modulus of fiber in composite: 35 Gigapascal --> 35000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_cl = E_m*(1-V_f)+E_f*V_f --> 4000000000*(1-0.5)+35000000000*0.5

Evaluating ... ...

E_cl = 19500000000

STEP 3: Convert Result to Output's Unit

19500000000 Pascal -->19.5 Gigapascal (Check conversion here)

FINAL ANSWER

19.5 Gigapascal <-- Young's modulus of composite in longitudinal direction

(Calculation completed in 00.007 seconds)

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Indian Institute of Technology (IIT), Chennai

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< Ceramics and Composites Calculators

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Young's Modulus from shear modulus

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Young's Modulus of composite in longitudinal direction Formula

LaTeX Go

Assumptions used

Fiber–matrix interfacial bond is very good, such that deformation of both matrix and fibers is the same (an isostrain condition). Under these conditions, the total load sustained by the composite is equal to the sum of the loads carried by the matrix phase and the fiber phase.

How to Calculate Young's Modulus of composite in longitudinal direction?

Young's Modulus of composite in longitudinal direction calculator uses Young's modulus of composite in longitudinal direction = Young's modulus of matrix in composite*(1-Volume Fraction of Fiber)+Young's modulus of fiber in composite*Volume Fraction of Fiber to calculate the Young's modulus of composite in longitudinal direction, Young's Modulus of composite in longitudinal direction, the composite considered here is aligned, continuous fiber reinforced composite. Young's modulus of composite in longitudinal direction is denoted by E_cl symbol.

How to calculate Young's Modulus of composite in longitudinal direction using this online calculator? To use this online calculator for Young's Modulus of composite in longitudinal direction, enter Young's modulus of matrix in composite (E_m), Volume Fraction of Fiber (V_f) & Young's modulus of fiber in composite (E_f) and hit the calculate button. Here is how the Young's Modulus of composite in longitudinal direction calculation can be explained with given input values -> 2E-8 = 4000000000*(1-0.5)+35000000000*0.5.

FAQ

What is Young's Modulus of composite in longitudinal direction?

Young's Modulus of composite in longitudinal direction, the composite considered here is aligned, continuous fiber reinforced composite and is represented as E_cl = E_m*(1-V_f)+E_f*V_f or Young's modulus of composite in longitudinal direction = Young's modulus of matrix in composite*(1-Volume Fraction of Fiber)+Young's modulus of fiber in composite*Volume Fraction of Fiber. Young's modulus of matrix in composite, Volume Fraction of Fiber in fiber reinforced composite & Young's modulus of fiber in composite (Fiber-reinforced composite).

How to calculate Young's Modulus of composite in longitudinal direction?

Young's Modulus of composite in longitudinal direction, the composite considered here is aligned, continuous fiber reinforced composite is calculated using Young's modulus of composite in longitudinal direction = Young's modulus of matrix in composite*(1-Volume Fraction of Fiber)+Young's modulus of fiber in composite*Volume Fraction of Fiber. To calculate Young's Modulus of composite in longitudinal direction, you need Young's modulus of matrix in composite (E_m), Volume Fraction of Fiber (V_f) & Young's modulus of fiber in composite (E_f). With our tool, you need to enter the respective value for Young's modulus of matrix in composite, Volume Fraction of Fiber & Young's modulus of fiber in composite 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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