Table H1 Ply calculation Design Panel Design Design Pressureshort dim Shear force Bending Mt Fd /mm Md P b kN/m² mm N/mm Nmm/mm 26.0 400 5.2 347 Laminate calculation for a 1 mm wide strip laminate 1 2 3 4 5 6 Ply Definition Fibre Modulus N° dry mass kg/m² Input 0.300 0.300 0.500 0.450 0.800 0.450 0.800 3.600 Sum Col 13 Ei.ti type * G,C,A G G G G G G G content Eti Y N/mm² C1 0.30 6,400 0.30 6,400 0.48 13,240 0.30 6,400 0.48 13,240 0.30 6,400 0.48 13,240 0.384 9,387 Average Average 15 16 Ei.ti.zgi² 7 stu or scu N/mm² Table C4 85 85 183 85 144 117 144 8 9 Interlaminar stcd/stcu tu interlam td/tu N/mm² 17 17 14 17 14 17 14 * Table 7 0.5 0.5 0.5 0.5 0.5 0.5 0.5 10 stcd N/mm² = (7)(9) 42.5 42.5 91.5 42.5 72.0 58.5 72.0 1 outer 2 3 4 5 6 7 Total Mat 300 Mat 300 Rov 500 Mat 450 Rov 800 Mat 450 Rov 800 1 Ply N° 12 Thickness ti 14 Dist zgi mm Calc 0.35 1.05 1.72 2.57 3.62 4.66 5.70 3.38 Z NA 17 18 (EI)i 19 zcrit from zNA 20 SMi mm3/mm calc 8.47 10.69 6.99 21.49 -18.38 -15.87 -4.88 from outside Ei.ti.zgi Ei.ti.3/12 From base mm N/mm eq C1 to C3 = (6).(12) 1 outer 0.701 4,483 2 0.701 4,483 3 0.647 8,562 4 1.051 6,725 5 1.035 13,700 6 1.051 6,725 7 1.035 13,700 Total 6.219 58,378 Sum Col Sum Col N Nmm Nmm Nmm² mm 3 =(13).(14)=(14).(15)=(13)(12) /12 =(16)+(17) calc 1,570 550 183.3 733 -3.38 4,711 4,950 183.3 5,134 -2.68 14,765 25,460 298.4 25,759 -1.98 17,304 44,526 618.8 45,145 -1.33 49,537 179,119 1,222.3 180,341 0.75 31,329 145,952 618.8 146,571 1.80 78,107 445,321 1,222.3 446,543 2.84 197,324 845,879 850,226 183,255 Sum Col Sum Col EI Base EI NA 1 22 23 24 25 26 27 28 29 Ply Compliance Type of Shear stress analysis Compliance N° factor load Location Z calc First mt Q Shear flow ti factor sd/si average td/ti Tens vs of from S Ei.ti(zi-zNA) q t * Comp NA Nmm N/mm N/mm² * =F.(26)/EI NA =(27)/1 =(11)/(27) =(10)/(21) mm calc st max outer ply 1 outer 1.04 Tens 1-2 interface 2.68 13,584 0.4 0.4 22.4 2 1.31 Tens 2-3 interface 1.98 24,027 0.7 0.7 12.7 3 1.85 Tens 3-4 interface 1.33 38,203 1.1 1.1 6.5 t is maximum at NA 4 2.63 Tens 4-5 interface 0.28 43,630 1.2 1.2 7.0 5 -3.82 Comp 5-6 interface -0.75 40,400 1.1 1.1 6.1 6 -2.68 Comp 6-7interface -1.80 31,801 0.9 0.9 9.6 t =0 top and bottom 7 -1.01 Comp underside of 7 -2.84 0 0.0 0.0 (Nmm/mm) =Design bending Mt x min compliance factor for s) Allowable design bending Mt according to this Table 360 Required thickness according to equation (35) and sf according to average y = 4.79 mm Average y = (bottom of columm 5, using equation C2) 0.384 Value of sdf according to Table C4a 90.5 The method of Annex H for the example single skin laminate gives a thickness requirement pessimistic by C C C 11 td N/mm² = (8).(9) 8.6 8.6 7.1 8.6 7.1 8.6 7.1 y 0.300 0.400 0.500 0.600 t/w 2.34 1.64 1.22 0.95 w/t 0.428 0.610 0.817 1.057 verif 0.428 0.610 0.817 1.057 y induction 0.300 0.400 0.500 0.600 21 si N/mm² calc 40.9 32.4 49.6 16.1 -18.9 -21.8 -71.1 st max outer ply t is maximum at NA t =0 top and bottom ding Mt x min compliance factor for s) 180.984566 N/mm² 32% 90.492283 Table H1 Ply calculation Pression Petite Concepttion de dimension Effort Moment conception panneau Tranchant de Flexion P b Fd /mm Md kN/m² mm N/mm Nmm/mm 26.0 400 5.2 347 Calcul pour une bande de stratifié de 1 mm de large 1 2 3 4 Pli N° Définition Masse sèche kg/m² Input 0.300 0.300 0.500 0.450 0.800 0.450 0.800 3.600 Somme Col 13 Ei.ti N/mm = (6).(12) C C C 5 6 Module 7 8 Interlaminaire 9 10 Fibre Type * G,C,A G G G G G G G Taux Y C1 0.30 0.30 0.48 0.30 0.48 0.30 0.48 0.384 Moyen 15 Ei.ti.zgi N =(13).(14) stcd/stcu td/tu * Table 7 0.5 0.5 0.5 0.5 0.5 0.5 0.5 Eti N/mm² 6,400 6,400 13,240 6,400 13,240 6,400 13,240 9,387 Moyen 16 Ei.ti.zgi² Nmm =(14).(15) st/c u N/mm² Table C5 85 85 183 85 144 117 144 tu interlam N/mm² 17 17 14 17 14 17 14 stcd N/mm² = (7)(9) 42.5 42.5 91.5 42.5 72.0 58.5 72.0 1 exterieur 2 3 4 5 6 7 Total Mat 300 Mat 300 Rov 500 Mat 450 Rov 800 Mat 450 Rov 800 1 Pli N° 12 Epaisseur ti mm eq C1 to C3 14 Dist zgi de l'ext mm Calc 17 Ei.ti.3/12 Nmm =(13)(12)3/12 18 (EI)i depuis base Nmm² =(17)+(18) 19 zcrit depuis zNA mm calc 20 SMi mm3/mm calc 1 exterieur 2 3 4 5 6 7 Total 0.701 0.701 0.647 1.051 1.035 1.051 1.035 6.219 Somme Col 4,483 4,483 8,562 6,725 13,700 6,725 13,700 58,378 0.35 1.05 1.72 2.57 3.62 4.66 5.70 3.38 1,570 4,711 14,765 17,304 49,537 31,329 78,107 197,324 550 4,950 25,460 44,526 179,119 145,952 445,321 845,879 183.3 183.3 298.4 618.8 1,222.3 618.8 1,222.3 733 5,134 25,759 45,145 180,341 146,571 446,543 850,226 -3.38 -2.68 -1.98 -1.33 0.75 1.80 2.84 183,255 8.47 10.69 6.99 21.49 -18.38 -15.87 -4.88 1 Pli N° 22 Facteur Acceptab Somme Col Z NA Somme Colonnes NA= Axe neutre 23 24 25 26 27 Type Analyse de la contrainte de cisaillement de contrainte Emplact de t Z calcul depuis NA mm EI Base 28 EI NA 29 Facteur Acceptab 1er Mt Q S Ei.ti(zi-zNA) Nmm calc Flux de cisaillt q N/mm =F.(26)/EI NA sd/si * =(10)/(21) ti moyen N/mm² =(27)/1 td/ti * =(11)/(27) st max pli extérieur 1 exterieur 1.04 Tract 1-2 interface 2.68 13,584 0.4 0.4 22.4 2 1.31 Tract 2-3 interface 1.98 24,027 0.7 0.7 12.7 3 1.85 Tract 3-4 interface 1.33 38,203 1.1 1.1 6.5 t est maximal à NA 4 2.63 Tract 4-5 interface 0.28 43,630 1.2 1.2 7.0 5 -3.82 Comp 5-6 interface -0.75 40,400 1.1 1.1 6.1 6 -2.68 Comp 6-7interface -1.80 31,801 0.9 0.9 9.6 t =0 au sommet et base 7 -1.01 Comp dessous de 7 -2.84 0 0.0 0.0 (Nmm/mm) =Mt flexion conception x Fact accept mini pour s) Moment de plexion de conception selon ce tableau 360 Epaisseur requise selon l' équation (35) et sf selon y moyen= 4.79 mm Valeur moyenne de y = (base de la colonne 5, avec l'équation C2) 0.384 Valeur de sdf selon le Tableau C4a 90.5 La méthode de l'Annexe H pour l'exemple de stratifié monolithique donne une épaisseur pessimiste de C 11 td N/mm² = (8).(9) 8.6 8.6 7.1 8.6 7.1 8.6 7.1 21 si N/mm² calc 40.9 32.4 49.6 16.1 -18.9 -21.8 -71.1 st max pli extérieur t est maximal à NA t =0 au sommet et base ct accept mini pour s) N/mm² 32% Table H.4 Modified as T H4,1 but with foam height=100 mm Design Stiffener Stiffener Pressure Span Spacing P s lu kN/m² mm mm 55.0 1,400 700 1 2 3 Element Depth Width h mm UD extra flange Normal flange=web Web above NA (2*tw/2) Web below NA (2*tw/2) Bonding flangle=web Attached plating Total Total Foam height 1 Element 3 4 74.7 21.3 4 10 117 100 10 Area A=b.h mm² = (2).(3) 240 240 598 170 400 2,700 4,348 Z Neutral axis 18 Section moduli SMi b mm 80 60 8 8 100 270 Shear Coeff ksa * 5.00 4 Modulus Et N/mm² Design shear Force Fd N 26,950 5 stu or scu N/mm² Annex C 430.0 107.0 107.0 125.0 125.0 125.0 25.3 13 E.A.zi N.mm = (11).(12) 5.70E+08 2.03E+08 3.11E+08 2.07E+07 6.64E+06 -1.12E+08 9.99E+08 mm 21 Location of t * Design bending Moment Md Nm 6,286 6 tu N/mm² 13.8 16.4 66.0 66.0 16.4 16.4 Nmm 6.29E+06 7 sfd/sfu td/tu * Table 7 0.5 0.5 0.5 0.5 0.5 0.5 8 std N/mm² = (5).(7) 215 53.5 53.5 62.5 62.5 62.5 9 td N/mm² = (6).(7) 6.9 8.2 33.0 33.0 8.2 8.2 25.0 17 ycrit s from NA mm Calc 81.71 78.71 74.71 -21.29 -25.29 -35.29 7.85.E+10 EI NA 25 Compliance factor td/ti * =(9)/(24) 3.70 2.44 1.00 1.02 3.51 1.00 Compliance factor * 1.3 UD extra flange Normal flange=web Web above NA Web below NA Bonding flangle=web Attached plating Total Element 22,500 8,300 8,300 8,300 8,300 8,300 9,084 Height top web1= 11 12 Dist/ int Et.A zgi N mm = (4).(10) calc 5.40E+06 105.5 1.99E+06 102.0 4.96E+06 62.7 1.41E+06 14.7 3.32E+06 2.0 2.24E+07 -5.0 3.95E+07 zNA = 25.3 19 20 Direct Compliance stresses factor si sd/si 14 E.A.zi² N.mm² = (12).(13) 6.01E+10 2.07E+10 1.95E+10 3.04E+08 1.33E+07 5.60E+08 1.01E+11 22 First Moment Qi S EA(zi-zNA) N.mm h/(t w/2) see Table 20 15 16 Around int 3 (EI)i E.b.h /12 N.mm² N.mm² (14)+(15) =(3)(4).(2)3/12 4.05E+06 6.01.E+10 2.66E+06 2.07.E+10 2.31E+09 2.18.E+10 5.35E+07 3.57.E+08 4.43E+06 1.77.E+07 1.87E+08 7.47.E+08 2.55E+09 1.04.E+11 EI 23 24 Shear Shear flow q stresses Fd Qi/EI NA ti ave Bott UD extra flange Top of flange=web Bott web above NA Bott web below NA Bott bonding flange Bott of plating N/mm² * N/mm N/mm² cm3 =Fd (22)/EINA Calc Calc = (8)/(19) calc =(23)/(3) 42.7 147.3 1.46 Bott UD-flange 4.33E+08 148.8 1.9 120.1 52.3 1.02 Top of web 5.86E+08 201.2 3.4 126.5 49.7 1.08 Neutral axis 7.71E+08 264.9 33.1 -444.0 -14.2 -4.41 Bott of web 7.56E+08 259.7 32.5 -373.8 -16.8 -3.72 Bot flange/top plating 6.79E+08 233.2 2.3 -267.9 -23.5 -2.66 Bott of plating 0 0.0 0.0 1.02 Min Compl factor on s = Min Compl factor on t = Analysis of the bond between top hat bottom flange and plating (See ISO 12215-6) tu td td/tu Location Qi= Shear Shear flow q N/mm 233.2 stresses N/mm² 2.332 S EA(zi-zNA) of t N/mm² * N/mm² * N.mm Bonding flange 15 5 3 Bott flange/top plating 6.79E+08 Note Data are highlighted light and significant results dark and bold characters; Calculation results are not highlighted Rough evaluation of shear, shear flow f=Fd/h Fd h total f rough 26,950 112.5 239.6 1.105733926 N/mm mm h=100 NA 25,3 tp=10 50 70 50 20 tp + 70 =270 4 3 80 60 4 tw/2=4 Checking of table H4,2 to compare wuth the second lineof Table G,3 Design Pressure P kN/m² 55.0 1 Element Stiffener Span lu mm 1,400 2 Depth Stiffener Spacing Shear Coeff ksa * 5.00 4 Modulus Design shear Force Design bending Moment s mm 700 3 Width Fd N 26,950 5 Nm 6,286 6 Md Nmm 6.29E+06 7 8 sfd/sfu stu or scu N/mm² Annex C 85 85 85 85 117 117 14.4 13 E.A.zi N.mm = (11).(12) 0.00E+00 1.38E+08 2.64E+08 5.59E+06 0.00E+00 -8.00E+07 3.27E+08 mm 21 Location of 22 First Moment Qi S EA(zi-zNA) N.mm calc Bott UD-flange Top of web Neutral axis Bott of web Bot flange/top plating Bott of plating 0.00E+00 1.18E+08 3.16E+08 3.10E+08 3.10E+08 0 23 Shear flow q 14 E.A.zi² N.mm² = (12).(13) 0.00E+00 1.40E+10 1.51E+10 4.02E+07 0.00E+00 4.00E+08 2.96E+10 h mm UD extra flange Normal flange=web Web above NA (2*tw/2) Web below NA (2*tw/2) Bonding flangle=web Attached plating Total Total Foam height 1 Element 0 4.21 85.6 14.4 0 10 114.21 100 10 Area A=b.h mm² = (2).(3) UD extra flange Normal flange=web Web above NA Web below NA Bonding flangle=web Attached plating Total 0 211 721 121 0 2,500 3,553 18 b mm 50 50 8.42 8.42 50 250 Et N/mm² 6,400 6,400 6,400 6,400 6,400 6,400 6,400 tu N/mm² 62.0 62.0 62.0 62.0 62.0 62.0 td/tu * Table 7 0.5 0.5 0.5 0.5 0.5 0.5 std N/mm² = (5).(7) 42.5 42.5 42.5 42.5 58.5 58.5 Height top web1= 11 Et.A N = (4).(10) 0.00E+00 1.35E+06 4.61E+06 7.76E+05 0.00E+00 1.60E+07 2.27E+07 14.4 20 Compliance factor 19 Direct stresses 12 Dist/ int zgi mm calc 104.2 102.1 57.2 7.2 0.0 -5.0 h/(t w/2) see Table 20 15 E.b.h 3 /12 N.mm² =(3)(4).(2)3/12 16 Around int (EI)i N.mm² (14)+(15) 0.00.E+00 1.40.E+10 1.79.E+10 5.36.E+07 0.00.E+00 5.33.E+08 3.25.E+10 EI 24 Shear stresses 0.00E+00 1.99E+06 2.82E+09 1.34E+07 0.00E+00 1.33E+08 2.97E+09 Z Neutral axis zNA = Element Section moduli SMi cm Bott UD extra flange Top of flange=web Bott web above NA Bott web below NA Bott bonding flange Bott of plating 3 si N/mm² Calc 129.8 129.8 123.7 -20.8 -20.8 -35.2 sd/si * = (8)/(19) 0.33 0.33 0.34 -2.04 -2.81 -1.66 0.33 t * Fd Qi/EI NA N/mm 0.0 114.4 305.6 300.2 300.2 0.0 ti ave N/mm² 0.0 2.3 36.3 35.7 6.0 0.0 Calc 48.4 48.4 50.8 -302.5 -302.5 -178.4 =Fd (22)/EINA =(23)/(3) Min Compl factor on s = Min Compl factor on t = Location of t * Bott flange/top plating Qi= S EA(zi-zNA) N.mm 3.10E+08 Shear flow q N/mm 300.2 Shear stresses N/mm² 6.004 Analysis of the bond between top hat bottom flange and plating (See ISO 12215-6) tu N/mm² Bonding flange Note 15 td/tu * 5 td N/mm² 3 Data are highlighted light and significant results dark and bold characters; Calculation results are not highlighted Rough evaluation of shear, shear flow f=Fd/h Fd h total f rough 26,950 112.5 239.6 1.27567908 N/mm mm Table G,3 improved giving tw/2 1 h mm 100 9 2 Dimensions of former bb mm 50 bc mm 50 3 4 Plating tp mm 5 10 15 5 5 Ass plating 20 tp+bb mm 150 250 350 150 250 350 150 250 350 175 275 375 175 275 375 175 275 375 200 300 400 200 300 400 200 300 400 td N/mm² = (6).(7) 31.0 31.0 31.0 31.0 31.0 31.0 125 50 50 10 15 5 150 50 50 10 15 5 150 75 75 10 15 5 175 23.8 17 ycrit s from NA mm Calc 89.83 89.83 85.62 -14.38 -14.38 -24.38 2.78.E+10 EI NA 25 Compliance factor Check I NA cm4 y crit-yNA cm SM cm3 435 8.98 48.4 300 250 200 200 75 65 10 15 5 75 75 10 15 5 100 100 10 15 5 100 100 10 15 5 100 100 10 15 td/ti * =(9)/(24) #DIV/0! 13.55 0.85 0.87 5.16 #DIV/0! Compliance factor * 0.5 6 Stiffener Laminate kg/m2 1.800 1.800 1.800 2.100 2.100 2.100 2.700 2.700 2.700 2.700 2.700 2.700 3.000 3.000 3.000 3.600 3.600 3.600 3.600 3.600 3.600 4.200 4.200 4.200 5.100 5.100 5.100 7 Web tw/2 mm 4.21 4.21 4.21 4.91 4.91 4.91 6.32 6.32 6.32 6.32 6.32 6.32 7.02 7.02 7.02 8.42 8.42 8.42 8.42 8.42 8.42 9.83 9.83 9.83 11.93 11.93 11.93 8 yg from int platn mm 3.9 2.4 1.9 5.3 3.4 2.5 6.9 4.8 3.5 7.0 4.9 3.7 8.3 6.0 4.5 10.0 7.7 5.9 10.2 7.8 6.0 13.0 10.5 8.4 15.9 13.5 11.2 9 SMmin cm3 41.3 48.4 52.7 64.7 77.1 84.1 103.6 126.2 139.1 125.5 149.5 163.2 160.5 193.5 213.0 239.4 289.9 322.1 276.9 330.5 364.0 432.8 517.5 576.2 667.6 792.2 890.3 10 Geometric properties Aw cm2 8.4 8.4 8.4 12.3 12.3 12.3 18.9 18.9 18.9 18.9 18.9 18.9 24.5 24.5 24.5 33.6 33.6 33.6 33.6 33.6 33.6 49.0 49.0 49.0 71.5 71.5 71.5 11 INA cm4 289 434 529 532 816 1,006 960 1,496 1,893 1,140 1,751 2,199 1,675 2,557 3,243 2,713 4,102 5,296 3,081 4,626 5,934 5,836 8,506 11,005 10,571 14,779 19,131 Table H.4 Pression de conception P kN/m² 55.0 1 Element Portée Espacement s mm 700 3 Largeur b mm 80 60 8 8 100 270 Coeff de cisaillement ksa * 5.00 4 Module Et N/mm² 22,500 8,300 8,300 8,300 8,300 8,300 9,084 H sommet âme1= 11 E.A N = (4).(10) 5.40E+06 1.99E+06 4.96E+06 1.41E+06 3.32E+06 2.24E+07 3.95E+07 25.3 20 Facteur acceptab 19 Contraintes directes 12 Dist/ int zgi mm calc 105.5 102.0 62.7 14.7 2.0 -5.0 E.A.zi N.mm = (11).(12) 5.70E+08 2.03E+08 3.11E+08 2.07E+07 6.64E+06 -1.12E+08 9.99E+08 mm 21 Emplacement de 22 Premier Mt Q N.mm calc Dessous UD-âme Sommet âme Axe neutre Base de l'âme base semelle/bordé Base bordé 4.33E+08 5.86E+08 7.71E+08 7.56E+08 6.79E+08 0 23 q= Flux de cisaillement N/mm =Fd (22)/EINA 148.8 201.2 264.9 259.7 233.2 0.0 E.A.zi² N.mm² = (12).(13) 6.01E+10 2.07E+10 1.95E+10 3.04E+08 1.33E+07 5.60E+08 1.01E+11 E.b.h3/12 N.mm² =(3)(4).(2) /12 3 Effort tranchant de conception Fd N 26,950 5 Moment de flexion de conception Md Nm 6,286 6 Nmm 6.29E+06 7 8 9 du raidisseur u mm 1,400 2 Hauteur h mm sfd/sfu stu ou scu N/mm² Annex C 430.0 107.0 107.0 125.0 125.0 125.0 25.3 13 14 tu N/mm² 13.8 16.4 66.0 66.0 16.4 16.4 td/tu * Table 7 0.5 0.5 0.5 0.5 0.5 0.5 std N/mm² = (5).(7) 215 53.5 53.5 62.5 62.5 62.5 td N/mm² = (6).(7) 6.9 8.2 33.0 33.0 8.2 8.2 25.0 17 ycrit s depuis NA mm Calc 81.71 78.71 74.71 -21.29 -25.29 -35.29 7.85.E+10 EI NA 25 Facteur acceptab Semelle suppl UD Semelle normale =Âme Âme dessus NA(2*tw/2) Âme dessous NA(2*tw/2) Angle liaison=Âme Bordé associé Total H mousse 1 Element 3 4 74.7 21.3 4 10 117 100 10 Area A=b.h mm² = (2).(3) h/(tw/2) voir Tableau 20 15 16 Autour int (EI)i N.mm² (14)+(15) 6.01.E+10 2.07.E+10 2.18.E+10 3.57.E+08 1.77.E+07 7.47.E+08 1.04.E+11 EI 24 Contraintes cisaillement Semelle suppl UD Semelle normale =Âme Âme dessus NA(2*tw/2) Âme dessous NA(2*tw/2) Angle liaison=Âme Bordé associé Total 240 240 598 170 400 2,700 4,348 18 4.05E+06 2.66E+06 2.31E+09 5.35E+07 4.43E+06 1.87E+08 2.55E+09 Z Neutral axis zNA = Element Modules d'inertie SMi cm3 Calc Dessous Semelle UD Sommet âme lat Bas âme dessus NA Bas âme dessous NA Dessus bordé Base bordé 42.7 120.1 126.5 -444.0 -373.8 -267.9 si N/mm² Calc 147.3 52.3 49.7 -14.2 -16.8 -23.5 sd/si * = (8)/(19) 1.46 1.02 1.08 -4.41 -3.72 -2.66 1.02 t * SEA(zi-zNA) Fd Qi/EI NA ti ave N/mm² =(23)/(3) 1.9 3.4 33.1 32.5 2.3 0.0 td/ti * =(9)/(24) 3.70 2.44 1.00 1.02 3.51 1.00 Facteur accept mini sur s = Facteur acceptabilité mini sur t = Analyse de la liaison avec polyster stratifié ou colle polyester (Voir ISO 12215-6) tu N/mm² Semelle de collage 15 td/tu * 5 td N/mm² 3 Emplacement de t * base semelle/bordé Qi= S EA(zi-zNA) N.mm 6.79E+08 q= Flux de cisaillement N/mm 233.2 Contraintes cisaillement N/mm² 2.33 Facteur acceptab * 1.29 Table H.4 Modified 1) All distances measured from inside of plating (including column12) 2) Foam height (row 20 column 1) used to ca 2) Total foam height from inside (row 20 column 1) used to calculate height of lower web to ensure it is at NA Design Pressure P kN/m² 55.0 1 Element Stiffener Span lu mm 1,400 2 Depth Stiffener Spacing Shear Coeff ksa * 5.00 4 Modulus Design shear Force Design bending Moment s mm 700 3 Width Fd N 26,950 5 Nm 6,286 6 Md Nmm 6.29E+06 7 8 sfd/sfu stu or scu N/mm² Annex C 430.0 107.0 107.0 125.0 125.0 125.0 26.5 13 E.A.zi N.mm = (11).(12) 5.91E+08 2.11E+08 3.36E+08 2.28E+07 6.64E+06 -1.12E+08 1.06E+09 mm 21 Location of 22 First Moment Qi S EA(zi-zNA) N.mm calc Bott UD-flange Top of web Neutral axis Bott of web Bot flange/top plating Bott of plating 4.48E+08 6.06E+08 8.05E+08 7.88E+08 7.07E+08 0 23 Shear flow q 14 E.A.zi² N.mm² = (12).(13) 6.47E+10 2.24E+10 2.19E+10 3.47E+08 1.33E+07 5.60E+08 1.10E+11 h mm UD extra flange Normal flange=web Web above NA (2*tw/2) Web below NA (2*tw/2) Bonding flangle=web Attached plating Total Total Foam height 1 Element 3 4 77.5 22.5 4 10 121 104 10 Area A=b.h mm² = (2).(3) UD extra flange Normal flange=web Web above NA Web below NA Bonding flangle=web Attached plating Total 240 240 620 180 400 2,700 4,380 18 b mm 80 60 8 8 100 270 Et N/mm² 22,500 8,300 8,300 8,300 8,300 8,300 9,078 tu N/mm² 13.8 16.4 66.0 66.0 16.4 16.4 td/tu * Table 7 0.5 0.5 0.5 0.5 0.5 0.5 std N/mm² = (5).(7) 215 53.5 53.5 62.5 62.5 62.5 Height top web1= 11 Et.A N = (4).(10) 5.40E+06 1.99E+06 5.15E+06 1.49E+06 3.32E+06 2.24E+07 3.98E+07 26.5 20 Compliance factor 19 Direct stresses 12 Dist/ int zgi mm calc 109.5 106.0 65.3 15.3 2.0 -5.0 h/(t w/2) see Table 20 15 E.b.h 3 /12 N.mm² =(3)(4).(2)3/12 16 Around int (EI)i N.mm² (14)+(15) 6.48.E+10 2.24.E+10 2.45.E+10 4.10.E+08 1.77.E+07 7.47.E+08 1.13.E+11 EI 24 Shear stresses 4.05E+06 2.66E+06 2.58E+09 6.30E+07 4.43E+06 1.87E+08 2.83E+09 Z Neutral axis zNA = Element Section moduli SMi cm3 Calc Bott UD extra flange Top of flange=web Bott web above NA Bott web below NA Bott bonding flange Bott of plating 44.6 125.4 131.9 -453.0 -384.7 -279.5 si N/mm² Calc 140.9 50.1 47.7 -13.9 -16.3 -22.5 sd/si * = (8)/(19) 1.53 1.07 1.12 -4.50 -3.83 -2.78 1.07 t * Fd Qi/EI NA N/mm 142.4 192.7 256.0 250.7 224.8 0.0 ti ave N/mm² 1.8 3.2 32.0 31.3 2.2 0.0 =Fd (22)/EINA =(23)/(3) Min Compl factor on s = Min Compl factor on t = Location of t * Bott flange/top plating Qi= S EA(zi-zNA) N.mm 7.07E+08 Shear flow q N/mm 224.8 Shear stresses N/mm² 2.248 Analysis of the bond between top hat bottom flange and plating (See ISO 12215-6) tu N/mm² Bonding flange Note 15 td/tu * 5 td N/mm² 3 Data are highlighted light and significant results dark and bold characters; Calculation results are not highlighted Rough evaluation of shear, shear flow f=Fd/h Fd h total f rough 26,950 112.5 239.6 1.0687932 N/mm mm height (row 20 column 1) used to calculate height of depth 9 td N/mm² = (6).(7) 6.9 8.2 33.0 33.0 8.2 8.2 26.0 17 ycrit s from NA mm Calc 84.45 81.45 77.45 -22.55 -26.55 -36.55 8.48.E+10 EI NA 25 Compliance factor td/ti * =(9)/(24) 3.86 2.55 1.03 1.05 3.64 1.03 Compliance factor * 1.3