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Cold And Hot Formed Circular Hollow Sections

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Circular Hollow Sections (CHS) include both cold-formed and hot-finished tubular profiles. Cold-formed sections are produced at ambient temperatures and are cost-effective for many applications, while hot-finished sections are formed at elevated temperatures, offering uniform strength in all directions and superior torsional resistance.

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Calculations
Description
Symbol Name
Value
Unit
Comment
0
Cold Formed Circular Hollow Sections
1
figure wim9b3ee599b7
2
Outside diameter
dout
33.70
mm
3
Section thickness
tt
3.00
mm
4
Material Properties
5
Young's modulus
Et
210000
Nmm2
6
Poisson's ratio
vt
0.30000
−
7
Density
ρt
7850.00
kgm3
8
Shear modulus
Gt
80769.2
Nmm2
Gt
=
Et(2⋅(1+vt))
=
210000(2⋅(1+0.30000))
9
Calculations
10
Area of section
At
289.34
mm2
At
=
π4⋅dout2-π4⋅(dout-2⋅tt)2
=
π4⋅33.702-π4⋅(33.70-2⋅3.00)2
11
Mass per metre length
mm
2.27
kgm
mm
=
At⋅ρt106
=
289.34⋅7850.00106
12
Ratio for local buckling
dt
11.23
−
dt
=
douttt
=
33.703.00
13
Second moment of area
It
34413.1
mm4
It
=
π64⋅(dout4-(dout-2⋅tt)4)
=
π64⋅(33.704-(33.70-2⋅3.00)4)
14
Radius of gyration
Kt
10.91
mm
Kt
=
ItAt
=
34413.1289.34
15
Elastic section modulus
St
2042.32
mm3
St
=
It(dout2)
=
34413.1(33.702)
16
Plastic section modulus
Zt
2836.47
mm3
Zt
=
16⋅(dout3-(dout-2⋅tt)3)
=
16⋅(33.703-(33.70-2⋅3.00)3)
17
Torsional constant
Itorsion
68826.2
mm4
Itorsion
=
2⋅It
=
2⋅34413.1
18
Torsional section modulus
Wt
4084.64
mm3
Wt
=
2⋅St
=
2⋅2042.32