# 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.

## Mechanics of Materials Equations

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