What does point B on a typical stress-strain curve represent?
The NCERT states, 'The point B in the curve is known as yield point (also known as elastic limit) and the corresponding stress is known as yield strength (σy) of the material.'
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What does point B on a typical stress-strain curve represent?
The NCERT states, 'The point B in the curve is known as yield point (also known as elastic limit) and the corresponding stress is known as yield strength (σy) of the material.'
Beyond which point on the stress-strain curve does permanent deformation occur even after the load is removed?
The NCERT text explains, 'If the load is increased further, the stress developed exceeds the yield strength and strain increases rapidly even for a small change in the stress. The portion of the curve between B and D shows this. When the load is removed, say at some point C between B and D, the body does not regain its original dimension. In this case, even when the stress is zero, the strain is not zero. The material is said to have a permanent set. The deformation is said to be plastic deformation.' This indicates that permanent deformation (plastic deformation) starts to occur if the material is stressed beyond point B.
What is the characteristic feature of a brittle material based on its stress-strain curve?
As per NCERT, 'If the ultimate strength and fracture points D and E are close, the material is said to be brittle. If they are far apart, the material is said to be ductile.'
Which of the following statements is TRUE regarding the region A to B in a stress-strain curve for a metal?
The NCERT states, 'In the region from A to B, stress and strain are not proportional. Nevertheless, the body still returns to its original dimension when the load is removed.'
What is represented by point D on a typical stress-strain curve?
The NCERT clearly states, 'The point D on the graph is the ultimate tensile strength (σu) of the material.'
Elastomers, such as the elastic tissue of aorta or rubber, are characterized by:
The NCERT passage mentions, 'For example, rubber can be pulled to several times its original length and still returns to its original shape. Fig. 8.3 shows stress-strain curve for the elastic tissue of aorta, present in the heart. Note that although elastic region is very large, the material does not obey Hooke’s law over most of the region. Secondly, there is no well defined plastic region. Substances like tissue of aorta, rubber etc. which can be stretched to cause large strains are called elastomers.'
If a material's ultimate strength and fracture points (D and E) are far apart on the stress-strain curve, the material is considered to be:
The NCERT text explains, 'If the ultimate strength and fracture points D and E are close, the material is said to be brittle. If they are far apart, the material is said to be ductile.'
In the stress-strain curve, what happens beyond point D (ultimate tensile strength)?
The NCERT states, 'Beyond this point [D], additional strain is produced even by a reduced applied force and fracture occurs at point E.'
What does the linear region (O to A) of the stress-strain curve signify?
As stated in the NCERT, 'In the region between O to A, the curve is linear. In this region, Hooke’s law is obeyed. The body regains its original dimensions when the applied force is removed. In this region, the solid behaves as an elastic body.'
Which of the following describes the definition of yield strength (σy)?
The NCERT states, 'The point B in the curve is known as yield point (also known as elastic limit) and the corresponding stress is known as yield strength (σy) of the material.' This implies that exceeding this stress leads to permanent deformation.
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