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Engineering: Stress & Strain
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Calculator / Last modified by mike on 2015/07/29 07:13
Strain (Engineering, Basic Definition)
by
MichaelBartmess, last modified
`epsilon = `
`( Delta L ) / L_0 `
Results
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Stress on Cross Section
by
MichaelBartmess, last modified
`sigma = `
` "P" / "A" `
Results
-
Percentage Elongation
by
MichaelBartmess, last modified
`% "Elongation" = `
`(( Delta L ) / L_0 ) `
Results
-
Elastic Longitudinal Deformation
by
MichaelBartmess, last modified
`delta = `
`( "P" * "L" ) / ( "A" * "E" )`
Results
-
Percent Reduction in Area
by
MichaelBartmess, last modified
`% RA = `
`(( A_i - A_f ) / A_i ) to %`
Results
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Modulus of Elasticity
by
MichaelBartmess, last modified
`E = `
`( "P" "/" "A" ) / ( delta "/" "L" )`
Results
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Shear Strain (pure)
by
MichaelBartmess, last modified
`gamma = `
` tau / "G" `
Results
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Expansion Due to Temperature (with Material Lookup)
by
MichaelBartmess, last modified
`delta_t = `
` alpha[ "Material" ] * L_0 * ( T_f - T_0 )`
Results
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Shear Modulus (with input strain ratio)
by
MichaelBartmess, last modified
`G = `
` "E" / (2* (1 - ( "Strain"_"Lateral" / "Strain"_"Longitudinal" )))`
Results
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Temperature Coefficient of Expansion Lookup
by
MichaelBartmess, last modified
`"Temperature Coefficient Of Expansion" = `
`"Lookup "[ "Material" ]`
Results
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Shear Strain
by
MichaelBartmess, last modified
`gamma_"(Shear)" = `
` x / h `
Results
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Shear Stress
by
MichaelBartmess, last modified
`tau_"(Shear)" = `
` F_"||" / "A" `
Results
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Stress (Radial) in Cylinder
by
MichaelBartmess, last modified
`sigma_"r_int" = `
`- "P" `
Results
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Stress (Tangential) in Cylinder
by
MichaelBartmess, last modified
`sigma_"t_int" = `
` "P" *( r_"(outer)" ^2 + r_"(inner)" ^2) / ( r_"(outer)" ^2 - r_"(inner)" ^2)`
Results
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Stress (Radial) out Cylinder
by
MichaelBartmess, last modified
`sigma_"r_out" = `
`- "P" `
Results
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Stress (Tangential) out Cylinder
by
MichaelBartmess, last modified
`sigma_"t_ext" = `
`- "P" *( r_"(outer)" ^2 + r_"(inner)" ^2) / ( r_"(outer)" ^2 - r_"(inner)" ^2)`
Results
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Stress (Axial) in Cylinder
by
MichaelBartmess, last modified
`sigma_"a_int" = `
` "P" * r_"(inner)" ^2 / ( r_"(outer)" ^2 - r_"(inner)" ^2)`
Results
-
Stress (Axial) out Cylinder
by
MichaelBartmess, last modified
`sigma_"a" = `
` "P" * r_i ^2 / ( r_o ^2 - r_i ^2)`
Results
-
Fundamental Definitions
Strain | Stress Cross Section |
% Elongation | Elastic Long Deform |
% Reduction Area | Modulus Elasticity |
Shear Strain | Thermal Expansion |
Shear Modulus | Expansion Coeff |
Shear Strain | Shear Stress |
Cylindrical Pressure Vessel
Radial Stress(inside) | Tangent Stress(inside) |
Radial Stress(outside) | Tangent Stress(outside) |
Axial Stress (inside) | Axial Stress(outside) |
Tags:
Rating
vCalc's Stress & Strain calculator provides fundamental definitions of stress and strain and associated deformations.1
Tabs
This calculator is organized into several tabs containing basic engineering equations as follows:
- Fundamental Definitions - this tab contains equations defining engineering strain, shear stress and strain, and thermal deformations.
- Cylindrical Pressure Vessel - this tab contains equations defining axial, radial, and tangential stress on a closed cylindrical vessel.
References
- ^ Fundamentals of Engineering. 8th edition, 2nd Revision. National Council of Examiners for Engineering and Surveying (NCEES) - 2001. ISBN 978-1-932613-59-9. pg 33
This calculator, Engineering: Stress & Strain, references 18 equations/constants.
Equations and Constants
- Shear Modulus (with input strain ratio) by vCalc
- Shear Strain by vCalc
- Shear Strain (pure) by vCalc
- Shear Stress by vCalc
- Strain (Engineering, Basic Definition) by vCalc
- Stress (Axial) in Cylinder by vCalc
- Stress (Axial) out Cylinder by vCalc
- Stress (Radial) in Cylinder by vCalc
- Stress (Radial) out Cylinder by vCalc
- Stress (Tangential) in Cylinder by vCalc
- Stress (Tangential) out Cylinder by vCalc
- Stress on Cross Section by vCalc
- Elastic Longitudinal Deformation by MichaelBartmess
- Expansion Due to Temperature (with Material Lookup) by MichaelBartmess
- Modulus of Elasticity by MichaelBartmess
- Percent Reduction in Area by MichaelBartmess
- Percentage Elongation by MichaelBartmess
- Temperature Coefficient of Expansion Lookup by MichaelBartmess
- more...