Define the tem volume strain and shearing strain. The volume of a ball decrease to 99% under compression. Find the volume strain produced?
Answers
Answer:
Volume Strain
It is the ratio of the change in volume of a body to its original volume.
If v is the original volume of a body and v+Δv is the volume of the body under the action of a normal stress, the change in volume is Δv.
Volume Strain = v/ Δv
Shear Strain
The engineering shear strain is defined as the tangent of that angle, and is equal to the length of deformation at its maximum divided by the perpendicular length in the plane of force application which sometimes makes it easier to calculate.
tanθ = Original Length/ Deformation
Explanation:
As we know,
Volumetric strain is the ratio of change in volume of the body to the original volume.
Volumetric strain
=
Δ
V
V
...
(
i
)
Where
△
V
=
change in volume
=
4.18
×
10
−
6
m
3
volume of sphere,
(
V
)
=
4
3
π
r
3
=
4
3
×
π
×
(
0.1
)
3
=
4.18
×
10
−
3
m
3
from equation
(
i
)
,
volumetric strain
=
4.18
×
10
−
6
4.18
×
10
−
3
=
10
−
3