Pipeng Toolbox : Solid Speed Of Sound Calculators Blank User
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Velocity Of Sound In A Solid

Calculate the velocity of sound in a solid.

The speed of sound in a solid is calculated from the solid density and bulk modulus.

`a = √(K / ρ) `

where :

a = speed of sound
K = bulk modulus
ρ = density

The bulk modulus can be calculated from the elastic modulus and Poisson's ratio, or from the speed of sound in the solid.

`K = a^2 ρ `
`K = E / (3 (1 - 2 γ )) `

where :

E = elastic modulus
γ = Poisson ratio

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Links : ±
CALCULATOR : Elastic Modulus Poisson Ratio Lame First Parameter Bulk Modulus Shear Modulus And P-Wave Modulus [FREE]   ±

Calculate material Poisson ratio, bulk modulus, Lames first parameter, shear modulus and p-wave modulus. These six parameters are interdependent so that if any two parameters are known the other four parameters can be calculated. Select any two user inputs in order to calculate the other values.

Tool Input

  • modtype : Modulus Input Values
    • Eu : User Defined Elastic Modulus
    • νu : User Defined Poisson Ratio
    • Ku : User Defined Bulk Modulus
    • λu : User Defined Lame First Parameter
    • Gu : User Defined Shear Modulus
    • Mu : User Defined P-Wave Modulus

Tool Output

  • λ : Lame First Parameter
  • ν : Poisson Ratio
  • E : Elastic Modulus
  • G : Shear Modulus
  • K : Bulk Modulus
  • M : P-Wave Modulus
CALCULATOR : Speed Of Sound From Bulk Modulus And Density [FREE]   ±

Calculate the speed of sound in a solid from bulk modulus and density.

The speed of sound can be calculated by

`a = √(K / ρ) `

where :

a = speed of sound
K = bulk modulus
ρ = density

Tool Input

  • modptype : Material Type
    • Ku : User Defined Bulk Modulus
    • ρu : User Defined Density

Tool Output

  • ρ : Density
  • K : Bulk Modulus
  • a : Sound Velocity
CALCULATOR : Bulk Modulus From Speed Of Sound And Density [FREE]   ±

Calculate the bulk modulus of a solid from speed of sound and density.

The bulk modulus can be calculated by

`K = a^2 ρ `

where :

a = speed of sound
K = bulk modulus
ρ = density

Tool Input

  • ρ : Density
  • a : Sound Velocity

Tool Output

  • K : Bulk Modulus
CALCULATOR : Typical Density Elastic Modulus Poisson Ratio Bulk Modulus Shear Modulus And Thermal Expansion Coeficient [FREE]   ±

Calculate typical elastic modulus, shear modulus, bulk modulus, density, and thermal expansion coefficient of a solid.

The table values of Poisson ratio and bulk modulus are calculated from the elastic modulus and shear modulus. Use the Result Table option to display a table of properties versus material type.

Tool Input

  • modptype : Material Type
    • Eu : User Defined Elastic Modulus
    • Gu : User Defined Shear Modulus
    • Ku : User Defined Bulk Modulus
    • νu : User Defined Poisson Ratio
    • ρu : User Defined Density
    • αu : User Defined Thermal Expansion Coefficient

Tool Output

  • α : Thermal Expansion Coefficient
  • ν : Poisson Ratio
  • ρ : Density
  • E : Elastic Modulus
  • G : Shear Modulus
  • K : Bulk Modulus
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