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Hollow Round Elastic Section Modulus Calculator
This calculator calculates the section modulus for a hollow round section. This is done with the equation below.
S
=
π
(
R
4
−
r
4
)
4
R
=
π
(
D
4
−
d
4
)
32
D
S = \frac{\pi(R^4-r^4)}{4R}\ = \frac{\pi (D^4-d^4)}{32D}
S
=
4
R
π
(
R
4
−
r
4
)
=
32
D
π
(
D
4
−
d
4
)
The following are the variables for the equations...
S
= the section modulus
r
= the inner radius of the circle.
R
= the outer radius of the circle.
d
= the inner diameter of the circle.
D
= the outer diameter of the circle.
Figure 1: Diagram of the Circular Hollow Section to Calculate the Section Modulus
Rectangle Section Modulus Calculator
Inputs
Inner Radius, r
:
0.50
mm
Outer Radius, R
:
1.00
mm
Inner Diameter, d
:
1.00
mm
Outer Diameter, D
:
2.00
mm
Output
Section Modulus, S (eqn 1)
:
0.74
mm3
S
e
q
u
a
t
i
o
n
1
=
π
(
R
4
−
r
4
)
4
R
S_{equation\ 1} = \frac{\pi(R^4-r^4)}{4R}
S
e
q
u
a
t
i
o
n
1
=
4
R
π
(
R
4
−
r
4
)
Section Modulus, S (eqn 2)
:
0.74
mm3
S
e
q
u
a
t
i
o
n
2
=
π
(
D
4
−
d
4
)
32
D
S_{equation\ 2} = \frac{\pi (D^4-d^4)}{32D}
S
e
q
u
a
t
i
o
n
2
=
32
D
π
(
D
4
−
d
4
)
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