Basic variables

Statistics

Probability distribution

Mean

Standard deviation

Coefficient of variation

Thickness of flange ft

31.4 mm

1.57 mm

0.50

Normal

Overall depth of beam, h

635.8 mm

19.074 mm

0.03

Normal

Radius of gyration of beam section, r

263 mm

7.89 mm

0.03

Normal

Beam span, L

7000 mm

350 mm

0.05

Gumbel

Load ratio, α

1

-

-

Fixed

Imposed load on beam, qk

25 kN/m

6.25 kN/m

0.25

Gumbel

Plastic modulus of beam section, Wpl

7,486,000 mm3

374,300 mm3

0.05

Normal

Design strength of beam, fy

265 N/mm2

18.55 N/mm2

0.07

Lognormal

Cross section area of beam, A

30,300 mm2

909 mm2

0.03

Normal

Partial safety factor for material strength, γm

1.05

0.1575

0.15

Lognormal

Thickness of web, tw

18.4 mm

0.552 mm

0.03

Normal

Depth of web, hw

573 mm

17.19 mm

0.03

Normal

Moment of inertia of beam section, Ix

2,094,710,000 mm4

104,735,500 mm4

0.05

Normal

Modulus of elasticity of steel, E

210000 N/mm2

6300 N/mm2

0.03

Lognormal