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Mechanics of Materials

Mechanics of materials, aka Strength of materials, is a subject which deals with the behavior of solid objects subject to stresses and strains. 

The study of strength of materials often refers to various methods of calculating the stresses and strains in structural members, such as beams, columns, and shafts. The methods employed to predict the response of a structure under loading and its susceptibility to various failure modes takes into account the properties of the materials such as its yield strength, ultimate strength, Young's modulus, and Poisson's ratio; in addition the mechanical element's macroscopic properties (geometric properties), such as it length, width, thickness, boundary constraints and abrupt changes in geometry such as holes are considered.

vCalc's Mechanics of Materials contains formulas that help in determining the relationship between the structure of materials at atomic or molecular scales and their macroscopic properties. 

Parent Categories:

Mechanics of Materials Equations

  • Bulk (volume) Strain by vCalc
  • Cubic Yards to Cubic Meters by vCalc
  • elastic factor k with units by vCalc
  • Hooke's Law (3D general) `"shear strain"_(xy)` by vCalc
  • Hooke's Law (3D general) `"shear strain"_(yz)` by vCalc
  • Hooke's Law (3D general) `"shear strain"_(zx)` by vCalc
  • Hooke's Law (3D general) `"strain"_x` by vCalc
  • Hooke's Law (3D general) `"strain"_y` by vCalc
  • Hooke's Law (3D general) `"strain"_z` by vCalc
  • Hooke's Law (plane stress) `"strain"_x` by vCalc
  • Hooke's Law (plane stress) `"strain"_y` by vCalc
  • Hooke's Law (plane stress) `"strain"_z` by vCalc
  • Hooke's Law (uniaxial stress) `"strain"_(y,z)` by vCalc
  • Hooke's Law (uniaxial stress) `"strain"_x` by vCalc
  • kPa to mmHg by vCalc
  • Lame's First Parameter (E,`nu`) by vCalc
  • Lame's First Parameter (E,G) by vCalc
  • Lame's First Parameter (G,`nu`) by vCalc
  • Lame's First Parameter (G,M) by vCalc
  • Lame's First Parameter (K,`nu`) by vCalc
  • Lame's First Parameter (K,E) by vCalc
  • Lame's First Parameter (K,G) by vCalc
  • Linear Elastic Stress (`sigma`) by vCalc
  • Percent Change in Flow by vCalc
  • Percent Change in Length by vCalc
  • Percent Change in Volume by vCalc
  • Percent Change in Weight by vCalc
  • Shear Modulus by vCalc
  • Shear Modulus (with input strain ratio) by vCalc
  • Shear Strain by vCalc
  • Shear Strain (pure) by vCalc
  • Shear Stress by vCalc
  • Strain (Beam) by vCalc
  • Strain (Engineering, Basic Definition) by vCalc
  • Strain (Uniaxial) 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
  • Tons (US) to Metric Tons by vCalc
  • Torsion Stress by vCalc
  • vForce by vCalc
  • vPower by vCalc
  • vPressure by vCalc
  • vVolume by vCalc
  • Young's Modulus (EiE) by vCalc
  • Change Length due to Strain by MichaelBartmess
  • Density of Air-free Water by MichaelBartmess
  • Elastic Longitudinal Deformation by MichaelBartmess
  • Endurance Limit - Steel by MichaelBartmess
  • Expansion Due to Temperature by MichaelBartmess
  • Expansion Due to Temperature (with Material Lookup) by MichaelBartmess
  • Load Factor, `k_c` by MichaelBartmess
  • Modulus of Elasticity by MichaelBartmess
  • Original Length from Strain by MichaelBartmess
  • Percent Reduction in Area by MichaelBartmess
  • Percentage Elongation by MichaelBartmess
  • Poisson's Ratio by MichaelBartmess
  • Principal Plane Stress (`sigma_1 = sigma_"max"`) by MichaelBartmess
  • Size Factor, `k_b` by MichaelBartmess
  • Surface Factor, `k_a` by MichaelBartmess
  • Temperature Coefficient of Expansion Lookup by MichaelBartmess
  • Temperature Factor, `k_d` by MichaelBartmess

Mechanics of Materials Datasets