section modulus 012004

3
The loss of the Derbyshire Project NA 240A Appendix 1 Section modulus calculations for stiffeners and girders Requirements are based on the class rules from Det Norske Veritas b Original design Toppflange Longitudinal stiffeners Input 63 cm Toppflange thickness t 1.05 cm Web height h 63.5 cm Neutral axis Web thickness t 1.05 cm Bottom flange bredth b 28 cm W t h Bottom flange thickness t 2.5 cm 6772 202.8 Flange 33.4 cm Moment of inertia 161875 4809 Design rules Span l 3.68 m (DnV Part 3, Ch 7 Sec 3 C400) Spacing b 0.994 m Design pressure 17.17 Required Z 204 Original design Original design Side girder Input Center girder Input Toppflange breadth b 368 cm Toppflange breadth b 368 cm Toppflange thickness t 1.05 cm Toppflange thickness t 1.05 cm Web height h 56 cm Web height h 91 cm Web thickness t 1.05 cm Web thickness t 1.05 cm Bottom flange bredth b 10 cm Bottom flange bredth b 7.5 cm Bottom flange thicknes 2.5 cm Bottom flange thickness t 2.5 cm 20983 35128 408.4 438.9 51.4 cm 80.0 cm Moment of inertia 119703 Moment of inertia 340239 2330 4251 Design rules Design rules Span l 11 m Span l 11 m Spacing b 3.68 m Spacing b 3.68 m Design pressure 17.17 Design pressure 17.17 Required Z 8133 Required Z 8133 t Toppflange eff breadth b z S xiAi cm 3 S Ai cm 2 Neutral axis z t b cm 4 Section Modulus Z cm 3 Effective flange of the girder: be = 0.84 Effective flange of the stiffners: be = 60 kN/m 2 cm 3 S xiAi cm 3 S xiAi cm 3 S Ai cm 2 S Ai cm 2 Neutral axis z Neutral axis z cm 4 cm 4 Section Modulus Z cm 3 Section Modulus Z cm 3 kN/m 2 kN/m 2 cm 3 cm 3

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Page 1: Section Modulus 012004

The loss of the DerbyshireProject NA 240A

Appendix

1

Section modulus calculations for stiffeners and girdersRequirements are based on the class rules from Det Norske Veritas

b Original design

Toppflange Longitudinal stiffeners Input

63 cm

Toppflange thickness t 1.05 cm

Web height h 63.5 cm

Neutral axis Web thickness t 1.05 cm

Bottom flange bredth b 28 cm

Web t h Bottom flange thickness t 2.5 cm

6772

202.8

Flange 33.4 cm

Moment of inertia 161875

4809

Design rules

Span l 3.68 m

(DnV Part 3, Ch 7 Sec 3 C400) Spacing b 0.994 m

Design pressure 17.17

Required Z 204

Original design Original design

Side girder Input Center girder Input

Toppflange breadth b 368 cm Toppflange breadth b 368 cm

Toppflange thickness t 1.05 cm Toppflange thickness t 1.05 cm

Web height h 56 cm Web height h 91 cm

Web thickness t 1.05 cm Web thickness t 1.05 cm

Bottom flange bredth b 10 cm Bottom flange bredth b 7.5 cm

Bottom flange thickness t 2.5 cm Bottom flange thickness t 2.5 cm

20983 35128

408.4 438.9

51.4 cm 80.0 cm

Moment of inertia 119703 Moment of inertia 340239

2330 4251

Design rules Design rules

Span l 11 m Span l 11 m

Spacing b 3.68 m Spacing b 3.68 m

Design pressure 17.17 Design pressure 17.17

Required Z 8133 Required Z 8133

t Toppflange eff breadth be

zS xiAi cm3

S Ai cm2

Neutral axis z

t b cm4

Section Modulus Z cm3

Effective flange of the girder: be = 0.84 b

Effective flange of the stiffners: be = 60 * t (web) kN/m2

cm3

S xiAi cm3 S xiAi cm3

S Ai cm2 S Ai cm2

Neutral axis z Neutral axis z

cm4 cm4

Section Modulus Z cm3 Section Modulus Z cm3

kN/m2 kN/m2

cm3 cm3

Page 2: Section Modulus 012004

The loss of the DerbyshireProject NA 240A

Appendix

2

Original design, 14.72 m span Faulkner's design

Longitudinal stiffener Input Transverse stiffener Input

63 cm 63 cm

Toppflange thickness t 1.05 cm Toppflange thickness t 1.05 cm

Web height h 63.5 cm Web height h 63.5 cm

Web thickness t 1.05 cm Web thickness t 1.05 cm

Bottom flange bredth b 28 cm Bottom flange bredth b 28 cm

Bottom flange thickness t 2.5 cm Bottom flange thickness t 2.5 cm

6772 6772

202.8 202.8

33.4 cm 33.4 cm

Moment of inertia 161875 Moment of inertia 161875

4809 4809

Design rules Design rules

Span l 14.72 m Span l 11 m

Spacing b 0.994 m Spacing b 0.981 m

Design pressure 17.17 Design pressure 17.17

Required Z 3265 Required Z 2168

Our suggestion Our suggestion

All girders Input Longitudinal stiffeners Input

Toppflange breadth b 368 cm 63 cm

Toppflange thickness t 1.05 cm Toppflange thickness t 1.05 cm

Web height h 90 cm Web height h 20 cm

Web thickness t 1.05 cm Web thickness t 1.05 cm

Bottom flange bredth b 30 cm Bottom flange bredth b 7.5 cm

Bottom flange thickness t 2.5 cm Bottom flange thickness t 1.5 cm

34776 1707

494.1 98.4

70.4 cm 17.3 cm

Moment of inertia 625275 Moment of inertia 5691

8883 328

Design rules Design rules

Span l 11 m Span l 3.68 m

Spacing b 3.68 m Spacing b 0.994 m

Design pressure 17.17 Design pressure 17.17

Required Z 8133 Required Z 204

Toppflange eff breadth be Toppflange eff breadth be

S xiAi cm3 S xiAi cm3

S Ai cm2 S Ai cm2

Neutral axis z Neutral axis z

cm4 cm4

Section Modulus Z cm3 Section Modulus Z cm3

kN/m2 kN/m2

cm3 cm3

Toppflange eff breadth be

S xiAi cm3 S xiAi cm3

S Ai cm2 S Ai cm2

Neutral axis z Neutral axis z

cm4 cm4

Section Modulus Z cm3 Section Modulus Z cm3

kN/m2 kN/m2

cm3 cm3