Determine the minimum diameter a steel wire can have if it is to support a 70 kg person. without exceeding the elastic limit of steel which is 5 x 108
Pa.
a lim= F/A = 5 × 108
Pa
A = F/a lim
but F = W = mg and A = pi r
2 = pi (d/2)2
d = sqr[(4/pi) × (m g / a B)]
d = sqr[(4/pi) × (70 kg × 9.81 m/s2
/5 × 10^8
Pa)] = 1.3 × 10^-3
m = 1.3 mm
The elastic limit is the maximum stress a material can withstand without undergoing permanent deformation. Beyond this limit, the material will no longer return to its original shape when the stress is removed and instead undergo plastic deformation. This concept is important for understanding the behavior of materials in engineering applications.
The maximum stress at which the material will undergo elastic strain (recoverable deformation). At stress above this, plastic strains will occur (permanent deformation). Depending on the confining stress and tempreature as plastic deformations occur the rock will either fail in a brittle manner (fractures will propagate through the material - this occurs at low confining stresses and high strain rates) or will deform in a ductile manner (like squashing plasticine which occurs at low strain rates, high confining stresses and high temperatures).
The elasticity of steel is like and elastic band once the force is exceeded it BREAKS! HAHAHAHAHAHAHAHAHAHAHAHAHAHA
E - young's modulus
G - Shear modulus
K - Bulk modulus
not sure about a forth but the Poisson's ratio is important
The furthest an object can stretch before it passes the point of being able to return to its original size.
Proportionality limit is the point upto which the stress remains directly proportional to strain whereas elastic limit is the point upto which the material remains elastic ie. if the stress is removed within elastic limit, then the material will regain its original shape and size.
Proportionality limit is the point upto which the stress remains directly proportional to strain whereas elastic limit is the point upto which the material remains elastic ie. if the stress is removed within elastic limit, then the material will regain its original shape and size.
To increase the elastic limit of a material, you can improve its structural properties by alloying or heat treatment. Additionally, reducing defects and impurities in the material can help enhance its elasticity. Strengthening mechanisms like solid solution strengthening or grain refinement can also boost the elastic limit.
Gold has a high elastic limit, meaning it can be deformed significantly before permanent deformation occurs. Under normal conditions, gold can be stretched to about 20-30% of its original length before it reaches its elastic limit and starts to deform permanently.
When an object reaches its elastic limit, it loses its ability to return to its original shape after deformation and becomes permanently deformed. This means that even when the force is removed, the object will retain its new shape.
No..!
Proportionality limit is the point upto which the stress remains directly proportional to strain whereas elastic limit is the point upto which the material remains elastic ie. if the stress is removed within elastic limit, then the material will regain its original shape and size.
yes
To increase the elastic limit of a material, you can improve its structural properties by alloying or heat treatment. Additionally, reducing defects and impurities in the material can help enhance its elasticity. Strengthening mechanisms like solid solution strengthening or grain refinement can also boost the elastic limit.
Proportionality limit is the point upto which the stress remains directly proportional to strain whereas elastic limit is the point upto which the material remains elastic ie. if the stress is removed within elastic limit, then the material will regain its original shape and size.
If a force is too great, the elastic limit will be exceeded. After the elastic limit is an area called the plastic region. The object may be stretched further in this area, however it will not returned to its original shape and will be permanently distorted. Eventually, the object will reach its breaking point. If the force applied is within the elastic limit, the object will return to its original shape.
Earthquakes will happen.
Earthquakes will happen.
All materials are elastic to a point. An elastic material is one that returns to its original size and shape when the load that is causing it to bend or stretch, is removed. At some point all materials will exceed their "elastic limit". Mild steel used for building structures is quite elastic if not over loaded. Rubber such as a rubber band is extremely elastic but it also has an elastic limit, and an ultimate strength. Glass is not very elastic and is considered brittle.
By using stress-strain curve.
well i think at least try it three or four more times to be sure but the elastic limit is when you can't do it any more
it depends on modulus of elasticity / young's modulus,,,,,,,which is ratio of stress and strain under elastic limit