Stainless steel lattice girder made of hollow sections

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Job No. VALCOSS Sheet 2 of 9 Rev AVTT Technical Research Centre ofFinlandP.O. Box 1000, FI-02044 VTTTel. +358 20 722 111Fax +358 20 722 7001Job TitleSubjectClientRFCS Stainless Steel Valorisation ProjectDesign Example 13 – Stainless steel lattice girder madeof hollow sectionsMade by PTY/AAT Date Jan 2006CALCULATION SHEETRFCS Checked by MAP Date Feb 2006ActionsAssuming the girder carries equally distributed snow load, glazing and its support structuresand weight of girder :Permanent actions (G): Load of glazing and supports 1 kN/m 2Dead load of girder (WINRAMI calculates the weight)Variable actions (Q): Snow load 2 kN/m 2Load case 1 to be considered (ultimate limit state): ∑ γLoad case 2 to be considered (fire situation):Ultimate limit state (room temperature design)γ G, j = 1,35 (unfavourable effects)γ Q,1 = 1,5j∑ γjG, j G k, j+ γ Q,1 Q k,1GA, j G k, j + k,1Fire designγ GA, j =1,0γ ψ1,1 = 0,2γψ1,1 Q(Recommended partial safety factors for actions shall be used in this example)Factored actions for ultimate limit state:Permanent action: Load on nodal points: 1,35 x 4,1 kNSelf weight of girder (is included by WINRAMI )Variable action Load from snow: 1,5 x 8,1 kNEq. 2.3EN 1990EN 1991-1-2Forces at critical member are:Forces are determined by the model using profiles in the annealed strength conditionLower chord member , member 0Annealed: 100x60x4 mm, CP460: 60x40x4 mmN t,Ed =142,2 kN,N t,fi,Ed = 46,9 kNM max ,Ed = 0,672 kNm, M max,fire,Ed =0,245 kNmUpper chord member, member 5Annealed: 80x80x5 mm, CP460: 70x70x4 mmN c,Ed = -149,1 kN,N c,fire,Ed = -49,2 kNM max ,Ed = 2,149 kNm, M max,fire,Ed = 0,731 kNmDiagonal member, member 31Annealed: 50x50x3mm,N c,Ed = -65,9 kN,CP460: 40x40x3 mmN c,fire,Ed = -21,7 kN192
Job No. VALCOSS Sheet 3 of 9 Rev AVTT Technical Research Centre ofFinlandP.O. Box 1000, FI-02044 VTTTel. +358 20 722 111Fax +358 20 722 7001Job TitleSubjectClientRFCS Stainless Steel Valorisation ProjectDesign Example 13 – Stainless steel lattice girder madeof hollow sectionsMade by PTY/AAT Date Jan 2006CALCULATION SHEETRFCS Checked by MAP Date Feb 2006Material propertiesUse material grade 1.4301Annealed: f y = 220 N/mm 2 f u = 550 N/mm 2 E = 200 000 N/mm 2 Table 3.1CP460: f y = 460 N/mm 2 f u = 650 N/mm 2 E = 200 000 N/mm 2 Section 3.2.4Partial safety factors Table 2.1The following partial safety factors are used throughout the design example:γ M0 = 1,1, γ M1 = 1,1, γ M,fi = 1,0Cross section propertiesAnnealedMember 0: A= 1175 mm 2 W pl,y = 37,93·1000 mm 3Member 5: A=1436 mm 2 I y =131,44·10 4 mm 4 i y =30,3 mm W pl,y =39,74 ·10 3 mm 3Member 31: A=541 mm 2 I y =19,47·10 4 mm 4 i y = 19 mm W pl,y = 9,39·10 3 mm 3CP460Member 0: A= 695 mm W pl,y = 13,16·1000 mm 3Member 5: A=1015 mm 2 I y =72,12·10 4 mm 4 i y =26,7 mm W pl,y = 24,76·10 3 mm 3Classification of the cross-section of member 5 and member 31Annealed : ε =1,01 CP460 : ε =0,698 Table 4.2Assume conservatively that c = h − 2tAnnealed 80x80x5 : c = 80 − 10 = 70 mm CP460 70x70x4 : c = 70 – 8 = 62 mmAnnealed 50x50x3 : c = 50 – 6 = 44 mm CP460 40x40x3 : c = 40 – 6 = 34 mmFlange/web subject to compression: Table 4.2Annealed 80x80x5 : c/t = 14 CP460 70x70x4 : c/t = 15,5Annealed 50x50x3 : c/t = 14,6 CP460 40x40x3 : c/t = 11,3For Class 1,ct≤ 25, 7ε, therefore both profiles are classified as Class 1Member 31: A=421 mm 2 I y =9,32·10 4 mm 4 i y = 14,9 mm W pl,y = 5,72·10 3 mm 3LOWER CHORD MEMBER, DESIGN IN ROOM AND FIRE TEMPERATURE (Member 0)A) Room temperature designTension resistance of cross section Section 4.7.2N pl,Rd = Agf y γ Eq. 4.220MAnnealed : N pl,Rd = 1175 mm 2 ×220 N/mm 2 / 1,1 = 235 kN > 142,2 kN OK.CP460 : N pl,Rd = 695 mm 2 ×460 N/mm 2 / 1,1 = 290 kN > 142,2 kN OK.193
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Stainless steel lattice girder made of hollow sections

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