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# TALAT Lecture 2301: Design of Members Example 8.3: Torsion constants for deck profile

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This example provides calculations on torsion of members based on Eurocode 9.

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### TALAT Lecture 2301: Design of Members Example 8.3: Torsion constants for deck profile

1. 1. TALAT Lecture 2301 Design of Members Torsion Example 8.3 : Torsion constants for deck profile 3 pages Advanced Level prepared by Torsten Höglund, Royal Institute of Technology, Stockholm Date of Issue: 1999  EAA - European Aluminium Association TALAT 2301 – Example 8.3 1
2. 2. Example 8.3. Torsion constants for deck profile This example is a simplification of an aluminium profile used in a bridge deck. 0 110.5 1.5 6.5 Nodes, co-ordinates, 1 100 1.5 6.5 thickness 2 119.5 31.75 5.25 3 119.5 45.75 11 4 102.5 45.75 6.5 5 102.5 45.75 5 6 119.5 45.75 6.5 7 119.5 31.75 11 8 100 1.5 5.25 i 9 y 85.5 . mm z 1.5 . mm t 6.5 . mm 10 82.5 0 5 11 82.5 0 3.5 12 85.5 1.5 5 13 100 1.5 6.5 14 40 45.75 3.5 15 0 0 3.5 16 40 45.75 3.5 17 100 1.5 3.5 18 110.5 1.5 6.5 60 40 20 0 20 150 100 50 0 50 100 150 TALAT 2301 – Example 8.3 2
3. 3. TALAT 2301 – Example 8.3 3
4. 4. Nodes i 1 .. rows ( y ) 1 rows ( y ) 1 = 18 Area of cross ti . section 2 2 dAi yi yi 1 zi zi 1 elements Cross rows ( y ) 1 section A = 3.855 . 10 mm 3 2 area A dAi i =1 First rows ( y ) 1 dAi Sy moment Sy zi zi 1 . z gc of area. 2 A Gravity centre i =1 z gc = 24.932 mm Second rows ( y ) 1 dAi zi . zi 1 . A . z gc moment 2 2 2 Iy zi zi 1 Iy Iy of area 3 i =1 I y = 1.468 . 10 mm 6 4 First rows ( y ) 1 dAi Sz moment Sz yi yi 1 . y gc of area. 2 A Gravity centre i =1 y gc = 0 m Second rows ( y ) 1 dAi yi . yi 1 . A . y gc moment 2 2 2 Iz yi yi 1 Iz Iz of area 3 i =1 I z = 2.33 . 10 mm 7 4 When calculating torsion constants the interior branches are omitted 13 Area within 0.5 . yi yi 1 . zi A v = 1.039 . 10 mm 4 2 mid-line Av zi 1 i =2 13 2 2 yi yi 1 zi zi 1 Sum of l/t Dn if t i > 0 . mm , ,0 Dn = 116.407 ti i =2 4 .A v 2 Torsion I v = 3.711 . 10 mm 6 4 constant Iv Dn I vc 3.713 . 10 . mm 6 4 Correct value incl. branches: i 0 .. 13 tm if t i > 0 . mm , t i , 100 . mm Torsion i resistance 2 . A v . min t m W v = 7.275 . 10 mm 4 3 Wv min t m = 3.5 mm TALAT 2301 – Example 8.3 4