Bodies in Equilibrium, elasticity and fracture

In summary, to compress the volume of a steel block by 0.14 percent, a pressure of 224 MPa is needed. However, this change in volume is only temporary and the steel will spring back once the pressure is removed. In some low carbon steels, at a pressure of about 220 MPa, the volume change becomes permanent due to plastic deformation.
  • #1
pupatel
11
0
can anyone help me with this please...? :eek:

How much pressure is needed to compress the volume of a steel block by 0.14 percent?
 
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  • #2
I'm not sure what units you are used to but I'll use SI here :

The bulk modulus of steel is about
[tex] G=160 * 10^9 N/m^2 = dP/(dV/V)[/tex]
[tex]=>dP = G(dV/V) [/tex]
[tex]=160*10^9*0.0014[/tex]
[tex]=224 * 10^6 N/m^2 [/tex]
[tex]= 224 MPa[/tex]

Of course, this change in volume exists only so long as the pressure is applied, and the steel springs back once the pressure is removed. However, in a very small number of low carbon steels, at about 220 MPa, you reach the yield stress and the steel will begin to plastically deform. Once this starts, the volume change becomes permanent.
 
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1. What is meant by a body in equilibrium?

A body in equilibrium is one in which all the forces acting on it are balanced, resulting in a state of rest or uniform motion.

2. What is the concept of elasticity?

Elasticity is the ability of a material to deform under the influence of an external force and return to its original shape once the force is removed. This property is dependent on the material's composition and molecular structure.

3. How is elasticity related to fracture?

Elasticity and fracture are closely related as a material's ability to withstand stress and return to its original shape without breaking is a measure of its elasticity. When a material is unable to withstand the applied stress, it undergoes fracture or breaking.

4. What factors affect the elasticity of a material?

The elasticity of a material is affected by factors such as its composition, molecular structure, temperature, and the magnitude and duration of the external force applied.

5. How is the concept of stress and strain related to bodies in equilibrium?

Stress and strain are measures of the internal forces and deformation experienced by a body in equilibrium. When these forces are balanced, the body remains in equilibrium. However, when the forces are unbalanced, the body may undergo deformation, resulting in a state of non-equilibrium.

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