Hariharan V S
Indian Institute of Technology (IIT), Chennai
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## < 5 Other formulas that you can solve using the same Inputs

Young's Modulus of composite in transverse direction
Young's modulus of composite 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) GO
Longitudinal strength of discontinuous fiber-reinforced composite
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) GO
Young's Modulus of composite in longitudinal direction
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 GO
Longitudinal strength of composite
Longitudinal strength of composite=Stress in matrix*(1-Volume fraction of fiber)+Tensile strength of fiber*Volume fraction of fiber GO
Critical fiber length
Critical fiber length=Tensile strength*Fiber diameter/(2*Critical shear stress) GO

### Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) Formula

Longitudinal strength of composite(discontinous fiber less than lc)=(Volume fraction of fiber*Fiber length*Critical shear stress/Fiber diameter)+Stress in matrix*(1-Volume fraction of fiber)
More formulas
Young's Modulus from shear modulus GO
Critical fiber length GO
Percent ionic character GO
Schottky Defect Concentration GO
Young's Modulus of porous material GO
Young's Modulus of composite in longitudinal direction GO
Young's Modulus of composite in transverse direction GO
Longitudinal strength of composite GO
Longitudinal strength of discontinuous fiber-reinforced composite GO

## 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 ( less than critical length)?

Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) calculator uses Longitudinal strength of composite(discontinous fiber less than lc)=(Volume fraction of fiber*Fiber length*Critical shear stress/Fiber diameter)+Stress in matrix*(1-Volume fraction of fiber) to calculate the Longitudinal strength of composite(discontinous fiber less than lc), Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) that is length of fiber is less than critical length. Longitudinal strength of composite(discontinous fiber less than lc) and is denoted by σcd' symbol.

How to calculate Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) using this online calculator? To use this online calculator for Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length), enter Fiber diameter (d), Critical shear stress c), Volume fraction of fiber (Vf), Stress in matrix m) and Fiber length (l) and hit the calculate button. Here is how the Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) calculation can be explained with given input values -> 4035 = (0.5*0.001*80000000/1E-05)+70000000*(1-0.5).

### FAQ

What is Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length)?
Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) that is length of fiber is less than critical length and is represented as σcd'=(Vf*l*τc/d)+σm*(1-Vf) or Longitudinal strength of composite(discontinous fiber less than lc)=(Volume fraction of fiber*Fiber length*Critical shear stress/Fiber diameter)+Stress in matrix*(1-Volume fraction of fiber). Fiber diameter in the fiber-reinforced composites, Critical shear stress is either the fiber-matrix bond strength or the shear yield stress of matrix, whichever is lower, Volume fraction of fiber in fiber reinforced composite, Stress in matrix is the stress at the failure of composite and Fiber length is a statistical average length of fibers present in the composite.
How to calculate Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length)?
Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) that is length of fiber is less than critical length is calculated using Longitudinal strength of composite(discontinous fiber less than lc)=(Volume fraction of fiber*Fiber length*Critical shear stress/Fiber diameter)+Stress in matrix*(1-Volume fraction of fiber). To calculate Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length), you need Fiber diameter (d), Critical shear stress c), Volume fraction of fiber (Vf), Stress in matrix m) and Fiber length (l). With our tool, you need to enter the respective value for Fiber diameter, Critical shear stress, Volume fraction of fiber, Stress in matrix and Fiber length 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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