# Modulus of Elasticity or Young's Modulus - and Tensile Modulus for common Materials

## Young's Modulus - Tensile Modulus or Modulus of Elasticity - for steel, glass, wood and other common materials

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Tensile Modulus - Young's Modulus or Modulus of Elasticity - is a measure of stiffness of an elastic material. It is used to describe the elastic properties of objects like wires, rods or columns when they are stretched or compressed.

Tensile Modulus is defined as the

*"ratio of stress (force per unit area) along an axis to strain (ratio of deformation over initial length) along that axis"*

It can be used to predict the elongation or compression of an object as long as the stress is less than the yield strength of the material.

Material | Tensile Modulus (Young's Modulus, Modulus of Elasticity) - E - | Ultimate Tensile Strength - σ_{u} -(MPa) | Yield Strength - σ_{y} -(MPa) | |
---|---|---|---|---|

(10^{6} psi) | (GPa) | |||

ABS plastics | 1.4 - 3.1 | 40 | ||

A53 Seamless and Welded Standard Steel Pipe - Grade A | 331 | 207 | ||

A53 Seamless and Welded Standard Steel Pipe - Grade B | 414 | 241 | ||

A106 Seamless Carbon Steel Pipe - Grade A | 400 | 248 | ||

A106 Seamless Carbon Steel Pipe - Grade B | 483 | 345 | ||

A106 Seamless Carbon Steel Pipe - Grade C | 483 | 276 | ||

A252 Piling Steel Pipe - Grade 1 | 345 | 207 | ||

A252 Piling Steel Pipe - Grade 2 | 414 | 241 | ||

A252 Piling Steel Pipe - Grade 3 | 455 | 310 | ||

A501 Hot Formed Carbon Steel Structural Tubing - Grade A | 400 | 248 | ||

A501 Hot Formed Carbon Steel Structural Tubing - Grade B | 483 | 345 | ||

A523 Cable Circuit Steel Piping - Grade A | 331 | 207 | ||

A523 Cable Circuit Steel Piping - Grade B | 414 | 241 | ||

A618 Hot-Formed High-Strength Low-Alloy Structural Tubing - Grade Ia & Ib | 483 | 345 | ||

A618 Hot-Formed High-Strength Low-Alloy Structural Tubing - Grade II | 414 | 345 | ||

A618 Hot-Formed High-Strength Low-Alloy Structural Tubing - Grade III | 448 | 345 | ||

API 5L Line Pipe | 310 - 1145 | 175 - 1048 | ||

Acetals | 2.8 | 65 | ||

Acrylic | 3.2 | 70 | ||

Aluminum Bronze | 120 | |||

Aluminum | 10.0 | 69 | 110 | 95 |

Aluminum Alloys | 10.2 | |||

Antimony | 11.3 | |||

Aramid | 70 - 112 | |||

Beryllium (Be) | 42 | 287 | ||

Beryllium Copper | 18.0 | |||

Bismuth | 4.6 | |||

Bone, compact | 18 | 170 (compression) | ||

Bone, spongy | 76 | |||

Boron | 3100 | |||

Brass | 102 - 125 | 250 | ||

Brass, Naval | 100 | |||

Bronze | 96 - 120 | |||

CAB | 0.8 | |||

Cadmium | 4.6 | |||

Carbon Fiber Reinforced Plastic | 150 | |||

Carbon nanotube, single-walled | 1000+ | |||

Cast Iron 4.5% C, ASTM A-48 | 170 | |||

Cellulose, cotton, wood pulp and regenerated | 80 - 240 | |||

Cellulose acetate, molded | 12 - 58 | |||

Cellulose acetate, sheet | 30 - 52 | |||

Cellulose nitrate, celluloid | 50 | |||

Chlorinated polyether | 1.1 | 39 | ||

Chlorinated PVC (CPVC) | 2.9 | |||

Chromium | 36 | |||

Cobalt | 30 | |||

Concrete | 17 | |||

Concrete, High Strength (compression) | 30 | 40 (compression) | ||

Copper | 17 | 117 | 220 | 70 |

Diamond (C) | 1220 | |||

Douglas fir Wood | 13 | 50 (compression) | ||

Epoxy resins | 3-2 | 26 - 85 | ||

Fiberboard, Medium Density | 4 | |||

Flax fiber | 58 | |||

Glass | 50 - 90 | 50 (compression) | ||

Glass reinforced polyester matrix | 17 | |||

Gold | 10.8 | 74 | ||

Granite | 52 | |||

Graphene | 1000 | |||

Grey Cast Iron | 130 | |||

Hemp fiber | 35 | |||

Inconel | 31 | |||

Iridium | 75 | |||

Iron | 28.5 | 210 | ||

Lead | 2.0 | |||

Magnesium metal (Mg) | 6.4 | 45 | ||

Manganese | 23 | |||

Marble | 15 | |||

MDF - Medium-density fiberboard | 4 | |||

Mercury | ||||

Molybdenum (Mo) | 40 | 329 | ||

Monel Metal | 26 | |||

Nickel | 31 | 170 | ||

Nickel Silver | 18.5 | |||

Nickel Steel | 29 | |||

Niobium (Columbium) | 15 | |||

Nylon-6 | 2 - 4 | 45 - 90 | 45 | |

Nylon-66 | 60 - 80 | |||

Oak Wood (along grain) | 11 | |||

Osmium (Os) | 80 | 550 | ||

Phenolic cast resins | 33 - 59 | |||

Phenol-formaldehyde molding compounds | 45 - 52 | |||

Phosphor Bronze | 116 | |||

Pine Wood (along grain) | 9 | 40 | ||

Platinum | 21.3 | |||

Plutonium | 14 | 97 | ||

Polyacrylonitrile, fibers | 200 | |||

Polybenzoxazole | 3.5 | |||

Polycarbonates | 2.6 | 52 - 62 | ||

Polyethylene HDPE (high density) | 0.8 | 15 | ||

Polyethylene Terephthalate, PET | 2 - 2.7 | 55 | ||

Polyamide | 2.5 | 85 | ||

Polyisoprene, hard rubber | 39 | |||

Polymethylmethacrylate (PMMA) | 2.4 - 3.4 | |||

Polyimide aromatics | 3.1 | 68 | ||

Polypropylene, PP | 1.5 - 2 | 28 - 36 | ||

Polystyrene, PS | 3 - 3.5 | 30 - 100 | ||

Polyethylene, LDPE (low density) | 0.11 - 0.45 | |||

Polytetrafluoroethylene (PTFE) | 0.4 | |||

Polyurethane cast liquid | 10 - 20 | |||

Polyurethane elastomer | 29 - 55 | |||

Polyvinylchloride (PVC) | 2.4 - 4.1 | |||

Potassium | ||||

Rhodium | 42 | |||

Rubber, small strain | 0.01 - 0.1 | |||

Sapphire | 435 | |||

Selenium | 8.4 | |||

Silicon | 16 | 130 - 185 | ||

Silicon Carbide | 450 | 3440 | ||

Silver | 10.5 | |||

Sodium | ||||

Steel, High Strength Alloy ASTM A-514 | 760 | 690 | ||

Steel, stainless AISI 302 | 180 | 860 | 502 | |

Steel, Structural ASTM-A36 | 200 | 400 | 250 | |

Tantalum | 27 | |||

Polytetrafluoroethylene (PTFE) | 0.5 | |||

Thorium | 8.5 | |||

Tin | 47 | |||

Titanium | 16 | |||

Titanium Alloy | 105 - 120 | 900 | 730 | |

Tooth enamel | 83 | |||

Tungsten (W) | 400 - 410 | |||

Tungsten Carbide (WC) | 450 - 650 | |||

Uranium | 24 | 170 | ||

Vanadium | 19 | |||

Wrought Iron | 190 - 210 | |||

Zinc | 12 |

*1 Pa (N/m*^{2}) = 1x10^{-6}N/mm^{2}= 1.4504x10^{-4}psi*1 MPa =**10*=^{6}N/m^{2}*0.145x10*^{3}psi (lb_{f}/in^{2}) = 0.145 ksi*1 GPa =**10*^{9}N/m^{2}= 10*= 10*^{6}N/cm^{2}^{3}N/mm^{2}= 0.145x10^{6}psi (lb_{f}/in^{2})*1 psi (lb/in*^{2}) = 0.001 ksi = 144 psf (lb_{f}/ft^{2}) = 6,894.8 Pa (N/m^{2}) = 6.895x10^{-3}N/mm^{2}

Note! - the online pressure converter can be used to convert between Tensile modulus units.

### Strain - *ε*

*ε*

Strain is "deformation of a solid due to stress" - change in dimension divided by the original value of the dimension - and can be expressed as

ε= dL / L(1)

where

ε= strain(m/m) (in/in)

dL= elongation or compression (offset) of the object (m) (in)

L= length of the object (m) (in)

### Stress - *σ*

Stress is force per unit area and can be expressed as

σ = F / A(2)

where

σ =stress(N/m^{2}, lb/in^{2}, psi)

F= force (N, lb)

A= area of object (m^{2}, in^{2})

*tensile stress*- stress that tends to stretch or lengthen the material - acts normal to the stressed area*compressive stress*- stress that tends to compress or shorten the material - acts normal to the stressed area*shearing stress*- stress that tends to shear the material - acts in plane to the stressed area at right-angles to compressive or tensile stress

### Young's Modulus - Tensile Modulus, Modulus of Elasticity - *E*

Young's modulus can be expressed as

E = stress / strain

= (F / A) / (dL / L)(3)

where

E = Young's modulus (N/m^{2}, lb/in^{2}, psi)

- named after the 18th-century English physician and physicist Thomas Young

### Elasticity

Elasticity is a property of an object or material which will restore it to its original shape after distortion.

A spring is an example of an elastic object - when stretched, it exerts a restoring force which tends to bring it back to its original length. This restoring force is in general proportional to the stretch described by Hooke's Law.

### Hooke's Law

One property of elasticity is that it takes about twice as much force to stretch a spring twice as far. That linear dependence of displacement upon stretching force is called Hooke's law which can be expressed as

F_{s}= -k dL(4)

where

F_{s}= force in the spring (N)

k= spring constant (N/m)

dL= elongation of the spring (m)

Note that Hooke's Law can also be applied to material undergoing three dimensional stress (triaxial loading).

### Yield strength - *σ*_{y}

_{y}

Yield strength is defined in engineering as the amount of stress (Yield point) that a material can undergo before moving from elastic deformation into plastic deformation.

**Yielding**- a material deforms permanently

The **Yield Point** is in mild- or medium-carbon steel the stress at which a marked increase in deformation occurs without increase in load. In other steels and in nonferrous metals this phenomenon is not observed.

### Ultimate Tensile Strength - *σ*_{u}

_{u}

The Ultimate Tensile Strength -* UTS *- of a material is the limit stress at which the material actually breaks, with sudden release of the stored elastic energy.

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