Tuesday, August 1, 2017

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

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.
MaterialTensile Modulus
(Young's Modulus, Modulus of Elasticity)
- E -
Ultimate Tensile Strength
- Su -
(106 N/m2, MPa)
Yield Strength
- Sy -
(106 N/m2, MPa)
(106  psi)(109 N/m2, 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
Polytehylene, 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/m2) = 1x10-6 N/mm2 = 1.4504x10-4 psi
  •  1 MPa = 0.145x103 psi (lbf/in2) = 0.145 ksi
  • 1 GPa = 0.145x106 psi (lbf/in2)
  • 1 psi (lb/in2) = 0.001 ksi = 144 psf (lbf/ft2) = 6,894.8 Pa (N/m2) = 6.895x10-3 N/mm2
Note! - the online pressure converter can be used to convert between Tensile modulus units.

Strain

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

Stress is force per unit area and can be expressed as
σ = F / A                                           (2)
where
σ = stress (N/m2) (lb/in2, psi)
F = force (N) (lb)
A = area of object (m2) (in2)
  • 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

Young's modulus can be expressed as
E = stress / strain
   = (F / A) / (dL / L)                                    (3)
where
E = Young's modulus (N/m2) (lb/in2, 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
Fs = -k dL                                          (4)
where
Fs = 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

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.
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

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.

http://www.engineeringtoolbox.com/young-modulus-d_417.html

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