Made by AAT Date June Checked by JEK Date June Revised by JBL/MEB Date April 2006

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Junior Cornelius Dorsey
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1 Job No. RSU658 See 1 of 7 Rev B Kemiinie, oo P.O.Box 185, FN VTT, Finland Teleone: Fax: Job Tile Subjec Clien Sainle Seel Valoriaion Projec Deign xamle Deign of a wo-an raezoidal roof eeing Made by AAT Dae June Cecked by JK Dae June Revied by JBL/MB Dae Aril 6 DSGN XAMPL DSGN OF A TWO-SPAN TRAPZODAL ROOF SHTNG Ti examle conider e deign of a wo-an raezoidal roof eeing. Te maerial i grade 1.1 ainle eel and e maerial ickne i,6 mm. Te dimenion of e cro ecion are own below. x 1, Te examle ow e following deign ak: - deerminaion of effecive ecion roerie a e ulimae limi ae - deerminaion of e bending reiance of e ecion - deerminaion of e reiance a e inermediae or - deerminaion of deflecion a erviceabiliy limi ae. Ti examle refer o rn :5 and ado i ymbol and erminology. Reference ould be made o rn for a full decriion of e deign rocedure and aociaed figure. Deign daa San L 9 mm Wid of or 1 mm Deign load Q 1, kn/m Deign ickne,6 mm Yield reng f yb N/mm Table.1 Modulu of elaiciy N/mm Secion.. Parial afey facor γ M 1,1 Table.1 Parial afey facor γ M1 1,1 Table.1 Symbol and deailed dimenion ued in calculaion are own in e figure below. Te oiion of e cro ecion i given o a in bending a e or e uer flange i comreed. 1

2 Job No. RSU658 See of 7 Rev B Kemiinie, oo P.O.Box 185, FN VTT, Finland Teleone: Fax: Job Tile Subjec Clien Sainle Seel Valoriaion Projec Deign xamle Deign of a wo-an raezoidal roof eeing Made by AAT Dae June Cecked by JK Dae June Revied by JBL/MB Dae Aril 6 b u / b / θ b / b l / l b l / w / b l / Angle of e web: θ aan,5 u b l ( w b ) 57,1 deg Cenre line dimenion nernal radiu of e corner 7 mm w 1,5 mm b u 65 mm b l 57 mm b mm b 8 mm 6 mm b l mm b 1 8 mm 1 6 mm r mm FFCTV SCTON PROPRTS AT TH ULTMAT LMT STAT Secion. Ceck on maximum wid-o-ickne raio: / 117 i le an inθ 6 and Table.1 b l / 95 i le an. Table.1 Locaion of e cenroidal axi wen e web i fully effecive ffecive wid of e comreed flange: bu b 5 b,5 mm ε, 966 Secion..1 fy 1,5 k σ b / 8,ε kσ,68,77,15 ρ,86 Becaue ρ < 1, b 19, mm eff, u ρ b q..1a Reduced ickne of e flange iffener: Secion.5. b b +,89 mm 1

3 Job No. RSU658 See of 7 Rev B Kemiinie, oo P.O.Box 185, FN VTT, Finland Teleone: Fax: Job Tile Subjec Clien Sainle Seel Valoriaion Projec Deign xamle Deign of a wo-an raezoidal roof eeing Made by AAT Dae June Cecked by JK Dae June Revied by JBL/MB Dae Aril 6 A ( beff,u + b) + 6,6 mm Fig.. e b + A ( e ) ,5mm + b ( e ) +, mm e 15 b Fig.. b b b + + b 5, mm 1/ b + b l b,7 b 51 mm q..9 l w w bu b + 8, mm w + bd b d b + b k 1, 7 w q..1 and w +,5bd.11 lb w,1 Becaue l, k k 1, 7 b w > w w,kw σ cr, 515 N/mm q.. A b ( b + b ) yb d σ cr, f,68 Becaue,65 < d < 1,8, χ 1,7,7d, 98 q..15 χ red, u,588 mm Te diance of neural axi from e comreed flange: bl bl l + l / inθ w l,71 mm,89 mm 15

4 Job No. RSU658 See of 7 Rev B Kemiinie, oo P.O.Box 185, FN VTT, Finland Teleone: Fax: Job Tile Subjec Clien Sainle Seel Valoriaion Projec Deign xamle Deign of a wo-an raezoidal roof eeing Made by AAT Dae June Cecked by JK Dae June Revied by JBL/MB Dae Aril 6 e A i,5b i eff, u,5b χ A o A i eff,u,5 χ,5b χ,5 w,5( b b ) l, 5 l l l l,5b l l e 87,5 mm A e i i c Ao,9 mm ffecive cro-ecion of e comreion zone of e web Secion..1 ec ψ 1,6 k σ 5,98(1 ψ ), 1 e Table. b c / inθ 8, mm b / 8.ε k σ,77,15 ρ,6 Becaue ρ < 1, b 1, ρ b 1 ψ eff 6, mm q..1a Table.,b 1,5 mm,6b 15,7 mm Table. eff, 1 eff eff, n eff ffecive cro ecion roerie er alf corrugaion eff,1 eff,1 inθ eff, eff, inθ n n e eff, i A eff,i eff, i,5b eff, u,5b χ eff,u,5 χ χ / 1,5b χ,5 eff,1 eff,1 w / 1 16 w eff,1,5( ec + eff, n ) ( e c + eff,n ) w ( e + ) / 1,5( b b ) l l w c eff, n

5 Job No. RSU658 See 5 of 7 Rev B Kemiinie, oo P.O.Box 185, FN VTT, Finland Teleone: Fax: Job Tile Subjec Clien Sainle Seel Valoriaion Projec Deign xamle Deign of a wo-an raezoidal roof eeing Made by AAT Dae June Cecked by JK Dae June Revied by JBL/MB Dae Aril 6, 5l ll l / 1 l l,5b l A o Aeff,i 78, mm Aeff,i eeff,i e c 7, mm A o ( e e ) eff,i + Aeff,i c eff,i o 58 mm Oionally e effecive ecion roerie may alo be redefined ieraively baed on e locaion of e effecive cenroidal axi. rn , claue 5.5..() Bending reng er uni wid (1 m) Secion.7. W u 1 mm,5w e c o 1 8 mm 59 mm W l e c 16 8 mm Becaue W u < Wl, Weff,min Wu 1 8 mm M W f / γ, knm q..9 c,rd eff,min y M DTRMNATON OF TH RSSTANC AT TH NTRMDAT SUPPORT Web criling reng Secion 5.. Here ϕ θ l a and α,15 R w,rd a r 1 yb 1,1 l,5, φ α f, deg γ 16, kn M1 1 mm,5w rn , q. 6.19b and 6.c rn , q Combined bending momen and or reacion Facored acion er uni wid (1m): γ G 1,5 γ Q 1, 5 Self weig: G 7 N/m Secion.. ( G + γ ), kn/m q γ Q q.. G Q 17

6 Job No. RSU658 See 6 of 7 Rev B Kemiinie, oo P.O.Box 185, FN VTT, Finland Teleone: Fax: Job Tile Subjec Clien Sainle Seel Valoriaion Projec Deign xamle Deign of a wo-an raezoidal roof eeing Made by AAT Dae June Cecked by JK Dae June Revied by JBL/MB Dae Aril 6 d ql 5 M,1 knm F d ql 7,96 kn 8 M d Fd M d F,716,91 + M R M R c,rd w,rd c,rd d w,rd 1,1 Combined bending momen and or reacion aify e condiion: M d Fed M d Fd rn ,5 1-, q M c,rd Rw,Rd M c,rd R w,rd 6.8a-c DTRMNATON OF DFLCTONS AT SRVCABLTY LMT STAT (SLS) ffecive cro ecion roerie For erviceabiliy verificaion e effecive wid of comreion elemen ould be baed on e comreive re in elemen under e erviceabiliy limi ae loading. Maximum comreive re in e effecive ecion a SLS. A conervaive aroximaion i made baed on W deermined above for ulimae limi ae. M σ y, d,er com, d,er ( G + Q) L 8 M y,d,er W u u 1,55 knm 15 N/mm rn , claue 5.5.1() Secion.. Te effecive ecion roerie are deermined a before in ulimae limi ae exce a f yb i relaced by σ com,d, er and e ickne of e flange iffener i no reduced. Te rel of e calculaion are: ffecive wid of e comreed flange Te flange i fully effecive Locaion of e cenroidal axi wen e web i fully effecive e c,1 mm ffecive cro-ecion of e comreion zone of e web Te web i fully effecive ffecive ar of e web Te web i reduced (ρ,88) ffecive cro ecion roerie er alf corrugaion A o 86,6 mm e c,8 mm o 6 7 mm ffecive ecion roerie er uni wid (1 m) 6 mm W u 17 mm W l 17 mm 18

7 Job No. RSU658 See 7 of 7 Rev B Kemiinie, oo P.O.Box 185, FN VTT, Finland Teleone: Fax: Job Tile Subjec Clien Sainle Seel Valoriaion Projec Deign xamle Deign of a wo-an raezoidal roof eeing Made by AAT Dae June Cecked by JK Dae June Revied by JBL/MB Dae Aril 6 Deerminaion of deflecion Aendix C Secan modulu of elaiciy correonding o maximum value of e bending momen: σ 1,d,er σ,d,er,1,,er M M y,d,er W u y,d,er W l 1+, σ 89,5 N/mm 9,8 N/mm 1,d,er 1+, σ,1 +, 1,d,er σ f σ yb 1,d,er,d,er f yb 199 N/mm n n 199 kn/mm 199 N/mm n 7, Aendix C Table C.1 Aendix C Ceck of deflecion: A a conervaive imlificaion, e variaion of negleced. 1+ x L 1, m (locaion of max deflecion) 16 δ ( G + Q) L 8,er x L x L Te ermiible deflecion i acceable. x + L,7 mm.er along e leng of e member i L / 1,5 mm, ence e calculaed deflecion i 19

8 BLANK PAG 1

( ) - maximum permissible bending. IJSRD - International Journal for Scientific Research & Development Vol. 4, Issue 01, 2016 ISSN (online):

( ) - maximum permissible bending. IJSRD - International Journal for Scientific Research & Development Vol. 4, Issue 01, 2016 ISSN (online): IJSRD - Inernaional Journal for Scienific Reearch & Developmen Vol. 4, Iue 01, 016 ISSN (online): 31-0613 Dr.N.Arunachalam 1 P.Prakah K.Jayakarhik 3 M.Narmadha 4 1 Profeor & Dean,3 PG Scholar 4 Aociae