That's like asking the correlation between water and pressure.
The relationships are in the statics and dynamics equations. There are many.
Simply put -(it is a hell of a lot more complicated that this) -
Strength is the ability to carry a load, stress is the energy contained in
the material from being loaded.
Tensile (ultimate) strength is the level at which the material finally comes
apart, as opposed to yield and proprotional strengths, which are the the
levels at which material can be loaded without permanent change in shape, or
without significant permanent change in shape. What is where, and if they
overlay each other, depends on the material itself.
Shear stress is the stress along the line/direction of the load in
compression or beam (bending) loading.
Bending stress is several stresses created by a bending moment - most often
being considered the compression and tension stresses across the line of the
load in a loaded beam.
And if you have to ask for other than idle curiosity, don't go using it -
you might kill soembody -especially in hydraulics. Instead, find someone who
knows the complicated parts to do it for you.
You need to read more on Strength of Materials before doing a
project.For an isotropic material, shear strength = .5773 tensile
strength. Bending is tension + compression. So brittle, ductile and
composite materials behave quite differently.
Not exactly what you asked for, but maybe what you need:
Here are some relations between
Youngs modulus E
Rigidity or Torsion modulus n
and Bulk modulus k
which apply only to a homogeneous, isotropic, substance
The moduli are measured in N/m^2
Given s = Poissons ratio....
n = E / 2(1 + s)
k = E / 3(1 - 2s)
E = 9 n k / (3k + n)
s = (E / 2n ) - 1
(source: Physical & Math Tables
Yarwood & Castle
revised Noakes. pub Macmillan.)
Brian Whatcott Altus OK
Are you talking about all those induced stresses that require tensors?
That's too complicated to understand.
Just use schedule 40 pipe stand on the other side of the parking lot
when you apply pressure.
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