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Ultimate tensile strength

Ultimate tensile strength (UTS), often shortened to tensile strength (TS), ultimate strength, or within equations,[1][2][3] is the maximum stress that a material can withstand while being stretched or pulled before breaking. In brittle materials the ultimate tensile strength is close to the yield point, whereas in ductile materials the ultimate tensile strength can be higher.

Two vises apply tension to a specimen by pulling at it, stretching the specimen until it fractures. The maximum stress it withstands before fracturing is its ultimate tensile strength.

The ultimate tensile strength is usually found by performing a tensile test and recording the engineering stress versus strain. The highest point of the stress–strain curve is the ultimate tensile strength and has units of stress. The equivalent point for the case of compression, instead of tension, is called the compressive strength.

Tensile strengths are rarely of any consequence in the design of ductile members, but they are important with brittle members. They are tabulated for common materials such as alloys, composite materials, ceramics, plastics, and wood.

Definition

The ultimate tensile strength of a material is an intensive property; therefore its value does not depend on the size of the test specimen. However, depending on the material, it may be dependent on other factors, such as the preparation of the specimen, the presence or otherwise of surface defects, and the temperature of the test environment and material.

Some materials break very sharply, without plastic deformation, in what is called a brittle failure. Others, which are more ductile, including most metals, experience some plastic deformation and possibly necking before fracture.

Tensile strength is defined as a stress, which is measured as force per unit area. For some non-homogeneous materials (or for assembled components) it can be reported just as a force or as a force per unit width. In the International System of Units (SI), the unit is the pascal (Pa) (or a multiple thereof, often megapascals (MPa), using the SI prefix mega); or, equivalently to pascals, newtons per square metre (N/m2). A United States customary unit is pounds per square inch (lb/in2 or psi). Kilopounds per square inch (ksi, or sometimes kpsi) is equal to 1000 psi, and is commonly used in the United States, when measuring tensile strengths.

Ductile materials

 
Figure 1: "Engineering" stress–strain (σ–ε) curve typical of aluminum
  1. Ultimate strength
  2. Yield strength
  3. Proportional limit stress
  4. Fracture
  5. Offset strain (typically 0.2%)
 
figure 2: "Engineering" (red) and "true" (blue) stress–strain curve typical of structural steel.

Many materials can display linear elastic behavior, defined by a linear stress–strain relationship, as shown in figure 1 up to point 3. The elastic behavior of materials often extends into a non-linear region, represented in figure 1 by point 2 (the "yield point"), up to which deformations are completely recoverable upon removal of the load; that is, a specimen loaded elastically in tension will elongate, but will return to its original shape and size when unloaded. Beyond this elastic region, for ductile materials, such as steel, deformations are plastic. A plastically deformed specimen does not completely return to its original size and shape when unloaded. For many applications, plastic deformation is unacceptable, and is used as the design limitation.

After the yield point, ductile metals undergo a period of strain hardening, in which the stress increases again with increasing strain, and they begin to neck, as the cross-sectional area of the specimen decreases due to plastic flow. In a sufficiently ductile material, when necking becomes substantial, it causes a reversal of the engineering stress–strain curve (curve A, figure 2); this is because the engineering stress is calculated assuming the original cross-sectional area before necking. The reversal point is the maximum stress on the engineering stress–strain curve, and the engineering stress coordinate of this point is the ultimate tensile strength, given by point 1.

Ultimate tensile strength is not used in the design of ductile static members because design practices dictate the use of the yield stress. It is, however, used for quality control, because of the ease of testing. It is also used to roughly determine material types for unknown samples.[4]

The ultimate tensile strength is a common engineering parameter to design members made of brittle material because such materials have no yield point.[4]

Testing

 
Round bar specimen after tensile stress testing
Aluminium tensile test samples after breakage
 
The "cup" side of the "cup–cone" characteristic failure pattern
 
Some parts showing the "cup" shape and some showing the "cone" shape

Typically, the testing involves taking a small sample with a fixed cross-sectional area, and then pulling it with a tensometer at a constant strain (change in gauge length divided by initial gauge length) rate until the sample breaks.

When testing some metals, indentation hardness correlates linearly with tensile strength. This important relation permits economically important nondestructive testing of bulk metal deliveries with lightweight, even portable equipment, such as hand-held Rockwell hardness testers.[5] This practical correlation helps quality assurance in metalworking industries to extend well beyond the laboratory and universal testing machines.

Typical tensile strengths

Typical tensile strengths of some materials
Material Yield strength
(MPa)
Ultimate tensile strength
(MPa)
Density
(g/cm3)
Steel, structural ASTM A36 steel 250 400–550 7.8
Steel, 1090 mild 247 841 7.58
Chromium-vanadium steel AISI 6150 620 940 7.8
Steel, 2800 Maraging steel[6] 2617 2693 8.00
Steel, AerMet 340[7] 2160 2430 7.86
Steel, Sandvik Sanicro 36Mo logging cable precision wire[8] 1758 2070 8.00
Steel, AISI 4130,
water quenched 855 °C (1570 °F), 480 °C (900 °F) temper[9]
951 1110 7.85
Steel, API 5L X65[10] 448 531 7.8
Steel, high strength alloy ASTM A514 690 760 7.8
Acrylic, clear cast sheet (PMMA)[11] 72 87[12] 1.16
High-density polyethylene (HDPE) 26–33 37 0.85
Polypropylene 12–43 19.7–80 0.91
Steel, stainless AISI 302 – cold-rolled 520[citation needed] 860 8.19
Cast iron 4.5% C, ASTM A-48 130 200 7.3
"Liquidmetal" alloy[citation needed] 1723 550–1600 6.1
Beryllium[13] 99.9% Be 345 448 1.84
Aluminium alloy[14] 2014-T6 414 483 2.8
Polyester resin (unreinforced)[15] 55 55  
Polyester and chopped strand mat laminate 30% E-glass[15] 100 100  
S-Glass epoxy composite[16] 2358 2358  
Aluminium alloy 6061-T6 241 300 2.7
Copper 99.9% Cu 70 220[citation needed] 8.92
Cupronickel 10% Ni, 1.6% Fe, 1% Mn, balance Cu 130 350 8.94
Brass 200 + 500 8.73
Tungsten 941 1510 19.25
Glass   33[17] 2.53
E-Glass N/A 1500 for laminates,
3450 for fibers alone
2.57
S-Glass N/A 4710 2.48
Basalt fiber[18] N/A 4840 2.7
Marble N/A 15 2.6
Concrete N/A 2–5 2.7
Carbon fiber N/A 1600 for laminates,
4137 for fibers alone
1.75
Carbon fiber (Toray T1100G)[19]
(the strongest human-made fibres)
  7000 fibre alone 1.79
Human hair 140–160 200–250[20]  
Bamboo fiber   350–500 0.4-0.8
Spider silk (see note below) 1000 1.3
Spider silk, Darwin's bark spider[21] 1652
Silkworm silk 500   1.3
Aramid (Kevlar or Twaron) 3620 3757 1.44
UHMWPE[22] 24 52 0.97
UHMWPE fibers[23][24] (Dyneema or Spectra) 2300–3500 0.97
Vectran   2850–3340 1.4
Polybenzoxazole (Zylon)[25] 2700 5800 1.56
Wood, pine (parallel to grain)   40  
Bone (limb) 104–121 130 1.6
Nylon, molded, 6PLA/6M [26] 75-85 1.15
Nylon fiber, drawn[27] 900[28] 1.13
Epoxy adhesive 12–30[29]
Rubber 16  
Boron N/A 3100 2.46
Silicon, monocrystalline (m-Si) N/A 7000 2.33
Ultra-pure silica glass fiber-optic strands[30] 4100
Sapphire (Al2O3) 400 at 25 °C,
275 at 500 °C,
345 at 1000 °C
1900 3.9–4.1
Boron nitride nanotube N/A 33000 2.62[31]
Diamond 1600 2800
~80–90 GPa at microscale[32]
3.5
Graphene N/A intrinsic 130000;[33]
engineering 50000–60000[34]
1.0
First carbon nanotube ropes ? 3600 1.3
Carbon nanotube (see note below) N/A 11000–63000 0.037–1.34
Carbon nanotube composites N/A 1200[35] N/A
High-strength carbon nanotube film N/A 9600[36] N/A
Iron (pure mono-crystal) 3 7.874
Limpet Patella vulgata teeth (goethite whisker nanocomposite) 4900
3000–6500[37]
^a Many of the values depend on manufacturing process and purity or composition.
^b Multiwalled carbon nanotubes have the highest tensile strength of any material yet measured, with one measurement of 63 GPa, still well below one theoretical value of 300 GPa.[38] The first nanotube ropes (20 mm in length) whose tensile strength was published (in 2000) had a strength of 3.6 GPa.[39] The density depends on the manufacturing method, and the lowest value is 0.037 or 0.55 (solid).[40]
^c The strength of spider silk is highly variable. It depends on many factors including kind of silk (Every spider can produce several for sundry purposes.), species, age of silk, temperature, humidity, swiftness at which stress is applied during testing, length stress is applied, and way the silk is gathered (forced silking or natural spinning).[41] The value shown in the table, 1000 MPa, is roughly representative of the results from a few studies involving several different species of spider however specific results varied greatly.[42]
^d Human hair strength varies by ethnicity and chemical treatments.

Typical Properties of annealed elements

Typical properties for annealed elements[43]
Element Young's
modulus
(GPa)
Yield strength
(MPa)
Ultimate
strength
(MPa)
Silicon 107 5000–9000
Tungsten 411 550 550–620
Iron 211 80–100 350
Titanium 120 100–225 246–370
Copper 130 117 210
Tantalum 186 180 200
Tin 47 9–14 15–200
Zinc 85–105 200–400 200–400
Nickel 170 140–350 140–195
Silver 83 170
Gold 79 100
Aluminium 70 15–20 40–50
Lead 16 12

See also

References

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  20. ^ "Tensile Testing Hair". instron.us. from the original on 28 September 2017.
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  33. ^ Lee, C.; et al. (2008). "Measurement of the Elastic Properties and Intrinsic Strength of Monolayer Graphene". Science. 321 (5887): 385–8. Bibcode:2008Sci...321..385L. doi:10.1126/science.1157996. PMID 18635798. S2CID 206512830. from the original on 19 February 2009.
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Further reading

  • Giancoli, Douglas, Physics for Scientists & Engineers Third Edition (2000). Upper Saddle River: Prentice Hall.
  • Köhler T, Vollrath F (1995). "Thread biomechanics in the two orb-weaving spiders Araneus diadematus (Araneae, Araneidae) and Uloboris walckenaerius (Araneae, Uloboridae)". Journal of Experimental Zoology. 271: 1–17. doi:10.1002/jez.1402710102.
  • T Follett, Life without metals
  • Min-Feng Y, Lourie O, Dyer MJ, Moloni K, Kelly TF, Ruoff RS (2000). (PDF). Science. 287 (5453): 637–640. Bibcode:2000Sci...287..637Y. doi:10.1126/science.287.5453.637. PMID 10649994. Archived from the original (PDF) on 4 March 2011.
  • George E. Dieter, Mechanical Metallurgy (1988). McGraw-Hill, UK

ultimate, tensile, strength, often, shortened, tensile, strength, ultimate, strength, displaystyle, text, within, equations, maximum, stress, that, material, withstand, while, being, stretched, pulled, before, breaking, brittle, materials, ultimate, tensile, s. Ultimate tensile strength UTS often shortened to tensile strength TS ultimate strength or F tu displaystyle F text tu within equations 1 2 3 is the maximum stress that a material can withstand while being stretched or pulled before breaking In brittle materials the ultimate tensile strength is close to the yield point whereas in ductile materials the ultimate tensile strength can be higher Two vises apply tension to a specimen by pulling at it stretching the specimen until it fractures The maximum stress it withstands before fracturing is its ultimate tensile strength The ultimate tensile strength is usually found by performing a tensile test and recording the engineering stress versus strain The highest point of the stress strain curve is the ultimate tensile strength and has units of stress The equivalent point for the case of compression instead of tension is called the compressive strength Tensile strengths are rarely of any consequence in the design of ductile members but they are important with brittle members They are tabulated for common materials such as alloys composite materials ceramics plastics and wood Contents 1 Definition 1 1 Ductile materials 2 Testing 3 Typical tensile strengths 4 Typical Properties of annealed elements 5 See also 6 References 7 Further readingDefinition EditThe ultimate tensile strength of a material is an intensive property therefore its value does not depend on the size of the test specimen However depending on the material it may be dependent on other factors such as the preparation of the specimen the presence or otherwise of surface defects and the temperature of the test environment and material Some materials break very sharply without plastic deformation in what is called a brittle failure Others which are more ductile including most metals experience some plastic deformation and possibly necking before fracture Tensile strength is defined as a stress which is measured as force per unit area For some non homogeneous materials or for assembled components it can be reported just as a force or as a force per unit width In the International System of Units SI the unit is the pascal Pa or a multiple thereof often megapascals MPa using the SI prefix mega or equivalently to pascals newtons per square metre N m2 A United States customary unit is pounds per square inch lb in2 or psi Kilopounds per square inch ksi or sometimes kpsi is equal to 1000 psi and is commonly used in the United States when measuring tensile strengths Ductile materials Edit Figure 1 Engineering stress strain s e curve typical of aluminum Ultimate strengthYield strengthProportional limit stressFractureOffset strain typically 0 2 figure 2 Engineering red and true blue stress strain curve typical of structural steel 1 Ultimate strength2 Yield strength yield point 3 Rupture4 Strain hardening region5 Necking regionA Apparent stress F A0 B Actual stress F A Many materials can display linear elastic behavior defined by a linear stress strain relationship as shown in figure 1 up to point 3 The elastic behavior of materials often extends into a non linear region represented in figure 1 by point 2 the yield point up to which deformations are completely recoverable upon removal of the load that is a specimen loaded elastically in tension will elongate but will return to its original shape and size when unloaded Beyond this elastic region for ductile materials such as steel deformations are plastic A plastically deformed specimen does not completely return to its original size and shape when unloaded For many applications plastic deformation is unacceptable and is used as the design limitation After the yield point ductile metals undergo a period of strain hardening in which the stress increases again with increasing strain and they begin to neck as the cross sectional area of the specimen decreases due to plastic flow In a sufficiently ductile material when necking becomes substantial it causes a reversal of the engineering stress strain curve curve A figure 2 this is because the engineering stress is calculated assuming the original cross sectional area before necking The reversal point is the maximum stress on the engineering stress strain curve and the engineering stress coordinate of this point is the ultimate tensile strength given by point 1 Ultimate tensile strength is not used in the design of ductile static members because design practices dictate the use of the yield stress It is however used for quality control because of the ease of testing It is also used to roughly determine material types for unknown samples 4 The ultimate tensile strength is a common engineering parameter to design members made of brittle material because such materials have no yield point 4 Testing Edit Round bar specimen after tensile stress testingAluminium tensile test samples after breakage The cup side of the cup cone characteristic failure pattern Some parts showing the cup shape and some showing the cone shapeMain article Tensile testing Typically the testing involves taking a small sample with a fixed cross sectional area and then pulling it with a tensometer at a constant strain change in gauge length divided by initial gauge length rate until the sample breaks When testing some metals indentation hardness correlates linearly with tensile strength This important relation permits economically important nondestructive testing of bulk metal deliveries with lightweight even portable equipment such as hand held Rockwell hardness testers 5 This practical correlation helps quality assurance in metalworking industries to extend well beyond the laboratory and universal testing machines Typical tensile strengths EditTypical tensile strengths of some materials Material Yield strength MPa Ultimate tensile strength MPa Density g cm3 Steel structural ASTM A36 steel 250 400 550 7 8Steel 1090 mild 247 841 7 58Chromium vanadium steel AISI 6150 620 940 7 8Steel 2800 Maraging steel 6 2617 2693 8 00Steel AerMet 340 7 2160 2430 7 86Steel Sandvik Sanicro 36Mo logging cable precision wire 8 1758 2070 8 00Steel AISI 4130 water quenched 855 C 1570 F 480 C 900 F temper 9 951 1110 7 85Steel API 5L X65 10 448 531 7 8Steel high strength alloy ASTM A514 690 760 7 8Acrylic clear cast sheet PMMA 11 72 87 12 1 16High density polyethylene HDPE 26 33 37 0 85Polypropylene 12 43 19 7 80 0 91Steel stainless AISI 302 cold rolled 520 citation needed 860 8 19Cast iron 4 5 C ASTM A 48 130 200 7 3 Liquidmetal alloy citation needed 1723 550 1600 6 1Beryllium 13 99 9 Be 345 448 1 84Aluminium alloy 14 2014 T6 414 483 2 8Polyester resin unreinforced 15 55 55 Polyester and chopped strand mat laminate 30 E glass 15 100 100 S Glass epoxy composite 16 2358 2358 Aluminium alloy 6061 T6 241 300 2 7Copper 99 9 Cu 70 220 citation needed 8 92Cupronickel 10 Ni 1 6 Fe 1 Mn balance Cu 130 350 8 94Brass 200 500 8 73Tungsten 941 1510 19 25Glass 33 17 2 53E Glass N A 1500 for laminates 3450 for fibers alone 2 57S Glass N A 4710 2 48Basalt fiber 18 N A 4840 2 7Marble N A 15 2 6Concrete N A 2 5 2 7Carbon fiber N A 1600 for laminates 4137 for fibers alone 1 75Carbon fiber Toray T1100G 19 the strongest human made fibres 7000 fibre alone 1 79Human hair 140 160 200 250 20 Bamboo fiber 350 500 0 4 0 8Spider silk see note below 1000 1 3Spider silk Darwin s bark spider 21 1652Silkworm silk 500 1 3Aramid Kevlar or Twaron 3620 3757 1 44UHMWPE 22 24 52 0 97UHMWPE fibers 23 24 Dyneema or Spectra 2300 3500 0 97Vectran 2850 3340 1 4Polybenzoxazole Zylon 25 2700 5800 1 56Wood pine parallel to grain 40 Bone limb 104 121 130 1 6Nylon molded 6PLA 6M 26 75 85 1 15Nylon fiber drawn 27 900 28 1 13Epoxy adhesive 12 30 29 Rubber 16 Boron N A 3100 2 46Silicon monocrystalline m Si N A 7000 2 33Ultra pure silica glass fiber optic strands 30 4100Sapphire Al2O3 400 at 25 C 275 at 500 C 345 at 1000 C 1900 3 9 4 1Boron nitride nanotube N A 33000 2 62 31 Diamond 1600 2800 80 90 GPa at microscale 32 3 5Graphene N A intrinsic 130000 33 engineering 50000 60000 34 1 0First carbon nanotube ropes 3600 1 3Carbon nanotube see note below N A 11000 63000 0 037 1 34Carbon nanotube composites N A 1200 35 N AHigh strength carbon nanotube film N A 9600 36 N AIron pure mono crystal 3 7 874Limpet Patella vulgata teeth goethite whisker nanocomposite 49003000 6500 37 a Many of the values depend on manufacturing process and purity or composition b Multiwalled carbon nanotubes have the highest tensile strength of any material yet measured with one measurement of 63 GPa still well below one theoretical value of 300 GPa 38 The first nanotube ropes 20 mm in length whose tensile strength was published in 2000 had a strength of 3 6 GPa 39 The density depends on the manufacturing method and the lowest value is 0 037 or 0 55 solid 40 c The strength of spider silk is highly variable It depends on many factors including kind of silk Every spider can produce several for sundry purposes species age of silk temperature humidity swiftness at which stress is applied during testing length stress is applied and way the silk is gathered forced silking or natural spinning 41 The value shown in the table 1000 MPa is roughly representative of the results from a few studies involving several different species of spider however specific results varied greatly 42 d Human hair strength varies by ethnicity and chemical treatments Typical Properties of annealed elements EditTypical properties for annealed elements 43 Element Young smodulus GPa Yield strength MPa Ultimatestrength MPa Silicon 107 5000 9000Tungsten 411 550 550 620Iron 211 80 100 350Titanium 120 100 225 246 370Copper 130 117 210Tantalum 186 180 200Tin 47 9 14 15 200Zinc 85 105 200 400 200 400Nickel 170 140 350 140 195Silver 83 170Gold 79 100Aluminium 70 15 20 40 50Lead 16 12See also EditFlexural strength Strength of materials Tensile structure Toughness Failure Tension physics Young s modulusReferences Edit Generic MMPDS Mechanical Properties Table stressebook com 6 December 2014 Archived from the original on 1 December 2017 Retrieved 27 April 2018 Degarmo Black amp Kohser 2003 p 31harvnb error no target CITEREFDegarmoBlackKohser2003 help Smith amp Hashemi 2006 p 223harvnb error no target CITEREFSmithHashemi2006 help a b Tensile Properties Archived from the original on 16 February 2014 Retrieved 20 February 2015 E J Pavlina and C J Van Tyne Correlation of Yield Strength and Tensile Strength with Hardness for Steels Journal of Materials Engineering and Performance 17 6 December 2008 MatWeb The Online Materials Information Resource Archived from the original on 15 December 2013 Retrieved 20 February 2015 MatWeb The Online Materials Information Resource Archived from the original on 21 February 2015 Retrieved 20 February 2015 MatWeb The Online Materials Information Resource Archived from the original on 21 February 2015 Retrieved 20 February 2015 MatWeb The Online Materials Information Resource Archived from the original on 28 March 2017 Retrieved 20 February 2015 USStubular com Archived from the original on 13 July 2009 Retrieved 27 June 2009 1 Archived 23 March 2014 at the Wayback MachineIAPD Typical Properties of Acrylics strictly speaking this figure is the flexural strength or modulus of rupture which is a more appropriate measure for brittle materials than ultimate strength MatWeb The Online Materials Information Resource Archived from the original on 21 February 2015 Retrieved 20 February 2015 MatWeb The Online Materials Information Resource Archived from the original on 21 February 2015 Retrieved 20 February 2015 a b Guide to Glass Reinforced Plastic fibreglass East Coast Fibreglass Supplies Archived from the original on 16 February 2015 Retrieved 20 February 2015 Properties of Carbon Fiber Tubes Archived from the original on 24 February 2015 Retrieved 20 February 2015 Soda Lime Float Glass Material Properties MakeItFrom com Archived from the original on 3 July 2011 Retrieved 20 February 2015 Basalt Continuous Fibers 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