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Breaking stress is less than ultimate stress

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12 comments

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Page 1 of 2.

Banavath Pavan

said:

 

4 months ago

Here it’s not asked about nominal breaking stress, Breaking stress is obviously less than ultimate stress but in case of the nominal case we should consider the net cross-section area at the time of breaking so in the case of nominal breaking, ultimate stress will be less.

Jayaprakash

said:

 

2 years ago

This is for nominal or engineering stress-strain. So the answer will be less than.

Jay

said:

 

4 years ago

Breaking, the stress at which breaking occurs is more than the Ultimate stress. Breaking stress is not less than the ultimate stress.

Nivrutti

said:

 

5 years ago

By stress strain curve ultimate stress is greater than breaking stress. So answer is correct.

Kaku

said:

 

5 years ago

If we talk about stress-strain curve in this max. Stress occurs after yield point that is ultimate stress point after that stress goes reducing.

Ramu

said:

 

5 years ago

Yes, the breaking stress is less than the ultimate stress.

Galav

said:

 

5 years ago

To sum it up, if you consider the actual cross sectional area at the time of breaking, the stress at which breaking occurs is more than the Ultimate stress.

Maloch

said:

 

6 years ago

Right answer @Pranay sb.

Pranay SB

said:

 

6 years ago

No, less only @Apcivilian.

After ultimate stress (maximum stress that the specimen can take) also, material takes less stress with an increased deformation which in turn causes the breaking.

Vicky

said:

 

6 years ago

Yes, It should be more.

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Post as Anonymous

Maximum stress withstood by stretched material before breaking

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.

Ultimate tensile strength (UTS), often shortened to tensile strength (TS), ultimate strength, or F tu {displaystyle F_{text{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.

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

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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

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  1. Ultimate strength
  2. Yield strength
  3. Proportional limit stress
  4. Fracture
  5. Offset strain (typically 0.2%)

Figure 1: “Engineering” stress–strain (σ–ε) curve typical of aluminum

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

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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

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^a^b[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[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

Typical Properties of annealed elements

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Typical properties for annealed elements[43]ElementYoung’s
modulus
(GPa)Yield strength
(MPa)Ultimate
strength
(MPa)Silicon1075000–9000Tungsten411550550–620Iron21180–100350Titanium120100–225246–370Copper130117210Tantalum186180200Tin479–1415–200Zinc85–105200–400200–400Nickel170140–350140–195Silver83170Gold79100Aluminium7015–2040–50Lead1612

See also

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References

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Further reading

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Tangeton said:

By definition the UTS is the maximum stress a material can take. But how exactly can a material not break after reaching the UTS if it is so? Why is there a breaking stress and how come on the graph of stress against strain the stress seems to decreases before the braking stress?

There is an engineering stress strain curve and a true stress strain curve. The engineering stress strain curve assumes that the member cross section area remains constant at all levels of tensile load, but in actuality, cross section starts to significantly reduce (called necking) at high stress values beyond the yield point, in which case if you plot true stress, which accounts for the reduced cross section area , versus strain, the true stress value always increases up to rupture, whereas if you use engineering stress, you get a peak on the curve prior to significant necking, and beyond that, the stress gets lower because it is assumed that cross section remains constant . The value of the engineering stress at this peak is called the ultimate tensile strength, whereas the breaking strength is the rupture stress at point of failure .

There is an engineering stress strain curve and a true stress strain curve. The engineering stress strain curve assumes that the member cross section area remains constant at all levels of tensile load, but in actuality, cross section starts to significantly reduce (called necking) at high stress values beyond the yield point, in which case if you plot true stress, which accounts for the reduced cross section area , versus strain, the true stress value always increases up to rupture, whereas if you use engineering stress, you get a peak on the curve prior to significant necking, and beyond that, the stress gets lower because it is assumed that cross section remains constant . The value of the engineering stress at this peak is called the ultimate tensile strength, whereas the breaking strength is the rupture stress at point of failure .

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