∠ 180 × 180 × 20 (ISA 180x180x20)

angle — 53.85 kg per metre, 68.6 cm² cross-sectional area. IS 808 Table 10 - Unequal Leg Angles.

xyB 180A 180t 20R1 18
Mass per metre
53.85kg/m
Sectional area
68.6cm²
Leg A
180mm
Leg B
180mm
Thickness
20mm

Unequal Leg Angles. Reproduced as printed in IS 808 Table 10 - Unequal Leg Angles.

∠ 180 × 180 × 20 section properties

As printed in IS 808 Table 10 - Unequal Leg Angles. legs 180 × 180 mm, 20 mm thick. Units are shown on every row, because the two standards on this site use different ones for the radius of gyration.

Dimensions

Length of leg A A 180 mm
Length of leg B B 180 mm
Thickness of leg t 20 mm
Root radius R1 18 mm
Toe radius R2 4.8 mm

Mass and area

Mass per metre M 53.85 kg/m
Sectional area A 68.6 cm²

Centroid

Centroid from the back of leg A Cx 52 mm
Centroid from the back of leg B Cy 52 mm

About x-x

Second moment of area Ixx 2,060 cm⁴
Radius of gyration rxx 54.9 mm
Elastic section modulus Zxx 161 cm³
Plastic section modulus Zpx 290 cm³

About y-y

Second moment of area Iyy 2,060 cm⁴
Radius of gyration ryy 54.9 mm
Elastic section modulus Zyy 161 cm³
Plastic section modulus Zpy 291 cm³

Principal axes (u-u, v-v)

Second moment of area Iuu 3,270 cm⁴
Second moment of area Ivv 853 cm⁴
Radius of gyration ruu 69.1 mm
Radius of gyration rvv 35.3 mm
Tangent of the principal axis angle tan α 0.79

Torsion and warping

Torsion constant (St Venant) It 90.6 cm⁴

What a length of ∠ 180 × 180 × 20 weighs

Total weight is the mass per metre multiplied by the length and the number of pieces. Ten pieces of ∠ 180 × 180 × 20 at six metres each is 53.85 × 6 × 10 = 3,231 kg. There is nothing else to it — the standard publishes the mass, so no one needs to compute it from the area.

You can check that mass against the area on this page: 68.6 cm² of steel at 7 850 kg/m³ is 53.85 kg/m. Every row in this dataset was checked that way, which is how the contradictions flagged on some of these pages were found.

Work it out for your own lengths and quantities →

Common questions about ∠ 180 × 180 × 20

What is the weight of ∠ 180 × 180 × 20 per metre?

IS 808 : 2021 gives ∠ 180 × 180 × 20 a mass of 53.85 kg per metre. Its printed cross-sectional area of 68.6 cm² agrees: 68.6 cm² of steel at 7 850 kg/m³ works out at 53.85 kg per metre.

How much does a 6 m length of ∠ 180 × 180 × 20 weigh?

323.10 kg. Mass per metre times length: 53.85 × 6. Ten such pieces come to 3231 kg.

Is ∠ 180 × 180 × 20 the same as ISA 180x180x20?

It is the same section under the name IS 808 : 2021 gives it — the 2021 revision of IS 808 dropped the "IS" prefix, so a drawing saying ISA 180x180x20 means this section. Check the edition before assuming the figures match, though: this page publishes the current tables, and a great many tables in circulation were copied from the 1989 edition.

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Where these figures come from. IS 808 Table 10 - Unequal Leg Angles Section properties are facts published in the standards, and they are reproduced here as printed. Where a standard contradicts itself, both of its figures are shown and neither is corrected.

What is ours. The selection and arrangement of these tables, the checks run against them, and the findings those checks produced — which rows disagree with themselves, which figures were superseded by amendment, and which could not be read — are QuickBOQ’s work, and so is this wording. Quote the numbers freely; they belong to everyone. Copying the compilation and the commentary is a different thing, and we would rather you linked to it.