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Young's Modulus of composite in transverse direction Calculator

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

✖Young's modulus in transverse direction, the composite considered here is aligned and continuous fibre reinforced composite.ⓘ Young's Modulus of composite in transverse direction [E_ct]

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Young's Modulus of composite in transverse direction Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Young's modulus in transverse direction - (Measured in Pascal) - Young's modulus in transverse direction, the composite considered here is aligned and continuous fibre reinforced composite.
Young's modulus of matrix in composite - (Measured in Pascal) - Young's modulus of matrix in composite.
Young's modulus of fiber in composite - (Measured in Pascal) - Young's modulus of fiber in composite (Fiber-reinforced composite).
Volume Fraction of Fiber - Volume Fraction of Fiber in 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)
Young's modulus of fiber in composite: 35 Gigapascal --> 35000000000 Pascal (Check conversion here)
Volume Fraction of Fiber: 0.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

E_ct = 7179487179.48718

STEP 3: Convert Result to Output's Unit

7179487179.48718 Pascal -->7.17948717948718 Gigapascal (Check conversion here)

FINAL ANSWER

7.17948717948718 ≈ 7.179487 Gigapascal <-- Young's modulus in transverse direction

(Calculation completed in 00.008 seconds)

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< Ceramics and Composites Calculators

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Young's Modulus of composite in transverse direction Formula

LaTeX Go

Assumptions used

The load is applied at a 90 degree angle to the direction of fiber alignment.Thus, the stress to which the composite as well as both phases are exposed is the same (isostress state).

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

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

How to calculate Young's Modulus of composite in transverse direction using this online calculator? To use this online calculator for Young's Modulus of composite in transverse direction, enter Young's modulus of matrix in composite (E_m), Young's modulus of fiber in composite (E_f) & Volume Fraction of Fiber (V_f) and hit the calculate button. Here is how the Young's Modulus of composite in transverse direction calculation can be explained with given input values -> 7.2E-9 = (4000000000*35000000000)/(0.5*4000000000+(1-0.5)*35000000000).

FAQ

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

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

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

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