European standards for structural steels 1073 Table 2a Symbols used in EN 10025 S Structural steel E Engineering steel .235 Minimum yield strength (R.) in N/mm 2 @ 16mm JR Longitudinal Charpy V-notch impacts 27J @ +20°C J0 Longitudinal Charpy V-notch impacts 27J @ 0°C J2 Longitudinal Charpy V-notch impacts 27J @ -20°C K2 Longitudinal Charpy V-notch impacts 40J @ -20°C G1 Rimming steel (FU) G2 Rimming steel not permitted (FN) G3 FLAT products: Supply condition ‘N’, i.e. normalized or normalized rolled. LONG products: Supply condition at manufacturer’s discretion G4 ALL products: Supply condition at manufacturer’s discretion Examples: S235JRG1, S355K2G4 Table 2b Symbols used in EN 10155 S Structural steel .235 Minimum yield strength (R.) in N/mm 2 @ 16mm J0 Longitudinal Charpy V-notch impacts 27J @ 0°C J2 Longitudinal Charpy V-notch impacts 27J @ -20°C K2 Longitudinal Charpy V-notch impacts 40J @ -20°C G1 FLAT products: Supply condition ‘N’, i.e. normalized or normalized rolled. LONG products: Supply condition at manufacturer’s discretion G2 All products: Supply condition at manufacturer’s discretion W Weather resistant steel P High phosphorus grade Examples: S235J0WP, S355K2G2W Table 2c Symbols used in EN 10113 S Structural steel .275 Minimum yield strength (R.) in N/mm 2 @ 16mm N. Normalized or normalized rolled M. Thermomechanically rolled L Charpy V-notch impacts down to -50°C Examples: S275N, S355ML Table 2d Symbols used in EN 10137 S Structural steel .460 Minimum yield strength (R.) in N/mm 2 @ 16mm Q. Quenched and tempered L Charpy V-notch impacts down to -40°C L1 Charpy V-notch impacts down to -60°C Examples: S460QL, S620QL1 Steel Designers' Manual - 6th Edition (2003) This material is copyright - all rights reserved. Reproduced under licence from The Steel Construction Institute on 12/2/2007 To buy a hardcopy version of this document call 01344 872775 or go to http://shop.steelbiz.org/ 1074 European standards for structural steels Table 3 Comparison between grades in EN 10025: 1993 and BS 4360: 1986 EN 10025: 1993 BS 4360: 1986 Grade Tensile Min yield Max thickness Charpy V-notch Grade Tensile Min yield Max thickness Charpy V-notch strength strength for specified impacts (longitudinal) strength strength for specified impacts (longitudinal) (R m )(R e ) yield strength (R m )(R e ) yield strength at t = 16 mm (R e ) Temp (°C) Energy (J) at t = 16 mm (R e ) Temp (°C) Energy (J) (N/mm 2 ) (mm) £150 >150 (N/mm 2 ) (mm) £100 mm mm mm (2) (3) (1) £250 mm S185 (4) 290/510 185 25 – – – – – – – – – S235 (5) 340/470 235 250 – – – 40A 340/500 235 150 – – S235JR (4) 340/470 235 25 +20 (6) 27 – – – – – – – S235JRG1 (4) 340/470 235 25 +20 (6) 27 – – – – – – – S235JRG2 340/470 235 250 +20 (6) 27 23 40B 340/500 235 150 +20 (6) 27 S235J0 340/470 235 250 0 27 23 40C 340/500 235 150 0 27 S235J2G3 340/470 235 250 -20 27 23 40D 340/500 235 150 -20 27 S235J2G4 340/470 235 250 -20 27 23 40D 340/500 235 150 -20 27 S275 (5) 410/560 275 250 – – – 43A 430/580 275 150 – – S275JR 410/560 275 250 +20 (6) 27 23 43B 430/580 275 150 +20 (6) 27 S275J0 410/560 275 250 0 27 23 43C 430/580 275 150 0 27 S275J2G3 410/560 275 250 -20 27 23 43D 430/580 275 150 -20 27 S275J2G4 410/560 275 250 -20 27 23 43D 430/580 275 150 -20 27 S355 (5) 490/630 355 250 – – – 50A 490/640 355 150 – – S355JR 490/630 355 250 +20 (6) 27 23 50B 490/640 355 150 +20 (6) 27 S355J0 490/630 355 250 0 27 23 50C 490/640 355 150 0 27 S355J2G3 490/630 355 250 -20 27 23 50D 490/640 355 150 -20 27 S355J2G4 490/630 355 250 -20 27 23 50D 490/640 355 150 -20 27 S355K2G3 490/630 355 250 -20 40 33 50DD 490/640 355 150 -30 27 S355K2G4 490/630 355 250 -20 40 33 50DD 490/640 355 150 -30 27 E295 470/610 295 250 – – – – – – – – – E335 570/710 335 250 – – – – – – – – – E360 650/830 360 250 – – – – – – – – – (1) For sections up to and including 100mm only (2) For wide flats and sections up to and including 63mm and 100mm respectively. (3) For wide flats up to and including 63mm and for sections no limit stated. (4) Only available up to and including 25mm (5) The steel grades S235, S275 and S355 appear only in the English language version (BS EN 10025) as non-conflicting additions, and do not appear in other European versions (6) Verification of the specified impact value is only carried out when agreed at the time of enquiry and order. Steel Designers' Manual - 6th Edition (2003) This material is copyright - all rights reserved. Reproduced under licence from The Steel Construction Institute on 12/2/2007 To buy a hardcopy version of this document call 01344 872775 or go to http://shop.steelbiz.org/ Table 4 Comparison between grades in EN 10113: Part 2 (Part 3): 1993 and BS 4360: 1990 EN 10113: Part 2 (Part 3): 1993 BS 4360: 1990 Grade Tensile Min yield Max thickness Charpy V-notch impacts Grade Tensile Min yield Max thickness Charpy V-notch impacts strength Strength for specified (longitudinal) – see Table 4a strength strength for specified (longitudinal) (R m )(R e ) yield strength (R m )(R e ) yield strength at t = 16 mm (R e ) Temp Energy Max thickness at t = 16 mm (R e ) Temp Energy Max thickness (N/mm 2 ) (mm) (°C) (J) (mm) (N/mm 2 ) (mm) (°C) (J) (mm) (1) (2) (1) (2) (1) (2) (1) (2) S275N (M) 370 (360) 275 150 (63) 150 (150) -20 40 150 (63) 150 (150) 43DD (3) 430 275 – 100 -30 27 – (9) to to S275NL (ML) 510 (510) 275 150 (63) 150 (150) -50 27 150 (63) 150 (150) 43EE (4) 580 275 150 (5) – -50 27 75 (7) – S355N (M) 470 (450) 355 150 (63) 150 (150) -20 40 150 (63) 150 (150) 50E (3) 490 355 – 100 -40 27 – (9) to to S355NL (ML) 630 (610) 355 150 (63) 150 (150) -50 27 150 (63) 150 (150) 50EE (4) 640 355 150 (5) – -50 27 75 (8) – S420N (M) 520 (500) 420 150 (63) 150 (150) -20 40 150 (63) 150 (150) – – – – – – – – – to S420NL (ML) 680 (660) 420 150 (63) 150 (150) -50 27 150 (63) 150 (150) – – – – – – – – – S460N (M) 550 (530) 460 100 (63) 100 (150) -20 40 100 (63) 100 (150) 55C (3) 550 450 25 40 0 27 25 19 to to S460NL (ML) 720 (720) 460 100 (63) 100 (150) -50 27 100 (63) 100 (150) 55EE (4) 700 450 63 (6) – -50 27 63 (6) – Table 4a Longitudinal Charpy V-notch impacts Grade Min ave energy (J) at test temp (°C) +20 0 -10 -20 -30 -40 -50 S N (M) 55 47 43 40 S NL (ML) 63 55 51 47 40 31 27 (1) Applies to plate and wide flats (2) Applies to sections (3) Supply condition M by agreement (4) Supply condition M not permitted (5) For wide flats max thickness is 63mm (6) Not available as wide flats (7) For wide flats max thickness is 50mm (8) For wide flats max thickness is 30mm (9) For sections no thickness limit is given Steel Designers' Manual - 6th Edition (2003) This material is copyright - all rights reserved. Reproduced under licence from The Steel Construction Institute on 12/2/2007 To buy a hardcopy version of this document call 01344 872775 or go to http://shop.steelbiz.org/ 1076 European standards for structural steels Table 5 Comparison between grades in EN 10137: Part 2: 1996 and BS 4360: 1990 EN 10137: Part 2: 1996 BS 4360: 1990 Grade Tensile Min yield Max thickness Charpy V-notch impacts Grade Tensile Min yield Max thickness Charpy V-notch impacts strength strength for specified (longitudinal) strength strength for specified (longitudinal) (R m )(R e ) yield strength (R m )(R e ) yield strength at t = 16 mm (R e ) Temp Energy Max thickness at t = 16 mm (R e ) Temp Energy Max thickness (N/mm 2 ) (mm) (°C) (J) (mm) (N/mm 2 ) (mm) (°C) (J) (mm) 50 F 490–640 390 40 -60 27 40 S460Q 550 460 150 -20 27 150 – – – – – – – 460QL to 460 150 -40 27 150 – – – – – – – S460QL1 720 460 150 -60 27 150 55F 550–700 450 40 -60 27 40 EN 10137: Part 2 also contains Grades S500Q/QL/QL1, S550Q/QL/QL1, S620Q/QL/QL1, S690Q/QL/QL1, S890Q/QL/QL1 and S960Q/QL Table 6 Comparison between grades in EN 10155: 1993 and BS 4360: 1990 EN 10155: 1993 BS 4360: 1990 Grade Product nominal Tensile Min Charpy V-notch Grade Tensile Min yield Max thickness Charpy V-notch impacts thickness (mm) strength yield strength impacts strength strength for specified (longitudinal) (R m )(R e ) (longitudinal) (R m )(R e ) yield strength Flat Long at t = 16 mm Temp Energy at t = 16 mm (R o ) Temp Energy Max thickness Sections Bars (N/mm 2 ) (°C) (J) (N/mm 2 ) (mm) (°C) (J) (mm) Shapes S235J0W 100 40 100 340–470 235 0 27 – – – – – – – S235J2W 100 40 100 340–470 235 -20 27 – – – – – – – S355J0WP 12 40 – 490–630 355 0 27 WR50A ≥480 345 (1) 40 0 27 12 (2) S355J2WP 12 40 – 490–630 355 -20 27 – – – – – – – S355J0W 100 40 100 490–630 355 0 27 WR50B ≥480 345 345 0 27 50 S355J2G1W 100 40 100 490–630 355 -20 27 WR50C ≥480 345 345 -15 27 50 S355J2G2W 100 40 100 490–630 355 -20 27 WR50C ≥480 345 345 -15 27 50 S355K2G1W 100 40 100 490–630 355 -20 40 – – – – – – – S355K2G2W 100 40 100 490–630 355 -20 40 – – – – – – – (1) Up to and incl. 12mm thick. Over 12mm min yield strength of 325N/mm 2 applies. (2) For round and square bar max thickness is 25mm Steel Designers' Manual - 6th Edition (2003) This material is copyright - all rights reserved. Reproduced under licence from The Steel Construction Institute on 12/2/2007 To buy a hardcopy version of this document call 01344 872775 or go to http://shop.steelbiz.org/ CA NTIL EV&S 'iw c b—4 a L I' L - Wx2 Wa Mmax 7 W cwrved—raight I— Frjp Izçjg ° W(&+/8a2b+/2ab3b3) dmaxfJ(' 24E1 +Ja) _______________________ 2W ___ I/A J/Q a b— c— ____ ____ L. L M N ______ RAW 4.— curved .4strai'ht f_- i aj dnaxjx c/C /5(1 5b umax. ,(/# Bending moment, shear and deflection 1077 Steel Designers' Manual - 6th Edition (2003) This material is copyright - all rights reserved. Reproduced under licence from The Steel Construction Institute on 12/2/2007 To buy a hardcopy version of this document call 01344 872775 or go to http://shop.steelbiz.org/ CA NTIL EV&S 'iw c b—4 a L I' L - Wx2 Wa Mmax 7 W cwrved—raight I— Frjp Izçjg ° W(&+/8a2b+/2ab3b3) dmaxfJ(' 24E1 +Ja) _______________________ 2W ___ I/A J/Q a b— c— ____ ____ L. L M N ______ RAW 4.— curved .4strai'ht f_- i aj dnaxjx c/C /5(1 5b umax. ,(/# Bending moment, shear and deflection 1077 Steel Designers' Manual - 6th Edition (2003) This material is copyright - all rights reserved. Reproduced under licence from The Steel Construction Institute on 12/2/2007 To buy a hardcopy version of this document call 01344 872775 or go to http://shop.steelbiz.org/ CA NT/LEVERS 9 w I 2W ________ ________ ________ b L -I L 'I M _T()_2] Mmax = w( 4) i — curved —H straight k— IIi llWp—j 1 °'C 60E1 W(2#SOo2b,4Oab2-H/b) /SbI dmox 60E1 dmax Jf(i+ i7) IA a b— a L L s.j Mx IX Mx = MC M,,,x— P a A [ I No shears 1 N. B. For ant/—clockwise moments the deflect/on is upwards. —curved k— fCU/hLk SEX C 2E1 d=E2'(, Sb' 1078 Bending moment, shear and deflection Steel Designers' Manual - 6th Edition (2003) This material is copyright - all rights reserved. Reproduced under licence from The Steel Construction Institute on 12/2/2007 To buy a hardcopy version of this document call 01344 872775 or go to http://shop.steelbiz.org/ SIMPLY SUPPORTED BEAMS w/z L // — T N _ 012 2°I'ZL/ when x1— 'RB When xa djmt2n(2n)d#n2(242m] When xo d4 where mx/L and naa/L IA B T L RB R8 W RA=RB T = S WL' "max 384 El 94 R5 Wa fSL2— c2j dà,cx.= 96(1 2 / ien .;— RAfl\ _______ RB dmax j.j (8?_4Lb2#b3) Bending moment, shear and deflection 1079 Steel Designers' Manual - 6th Edition (2003) This material is copyright - all rights reserved. Reproduced under licence from The Steel Construction Institute on 12/2/2007 To buy a hardcopy version of this document call 01344 872775 or go to http://shop.steelbiz.org/ M A4nqx. —O•/28WL when x,=0•5774L L 84 p8 Mx = Wx( 2) — WL/6 II .x;. I = WIS R8 RB 2W/S 4,dmcx 0.0/304 wi! dinax when x =05/PJL 51 AA BA T.—a 'F b -F a L "A B I' "mar. 4 ('- 3J RA=RB = Jdmax WL5 60(1 Ij x 2X2 Mx L"YLJ Mmax' Wi/i2 RR8 wft j dc,s A5 d, ur=ëi(85,7aLL4c2L4I) i,dmax. —3iffk1 1080 Bending moment, shear and deflection Steel Designers' Manual - 6th Edition (2003) This material is copyright - all rights reserved. Reproduced under licence from The Steel Construction Institute on 12/2/2007 To buy a hardcopy version of this document call 01344 872775 or go to http://shop.steelbiz.org/ SIMPLY SUPPORT(O BEAMS ,l. ti. £k"\ M - '"cx. 6 N 'A=B= W/2 NRa lOab# 5b2) 6 _____ RB RA[ — R8—w/2 4/max. dmxJi(/5a2#2Oabi'.5b2) N yzW/a - Lb Mmcx _(_m# 'j) iW,en x— Wm R8 — z_ when x= a/i— _______IA B .7 Bending moment, shear and deflection 1081 Steel Designers' Manual - 6th Edition (2003) This material is copyright - all rights reserved. Reproduced under licence from The Steel Construction Institute on 12/2/2007 To buy a hardcopy version of this document call 01344 872775 or go to http://shop.steelbiz.org/ [...]... licence from The Steel Construction Institute on 12/2/2007 To buy a hardcopy version of this document call 01344 872775 or go to http://shop.steelbiz.org/ Steel Designers' Manual - 6th Edition (2003) Bending moment, shear and deection Mmax r PL RAI I =P I dmax = 304(1 /9 P1! MC Mf PL MD JB dp dinax dmczx 23PL3 648(1 d ax SJPL in A*C MC=ME 2P 768(1 4/PL3 SPL 1083 Steel Designers' Manual - 6th Edition... all rights reserved Reproduced under licence from The Steel Construction Institute on 12/2/2007 To buy a hardcopy version of this document call 01344 872775 or go to http://shop.steelbiz.org/ 'Yz Wiz Wk "lz Steel Designers' Manual - 6th Edition (2003) Inuence lines Influence lines for bending moments two-span beam I II I III I 0123456789101112L71 4151 6/7/8l9ZO I I I I I I I I, I This material is copyright... 0/52 0-203 0-1/6 0 -158 0-038 0-076 0 0-026 0-043 0-053 0-058 0-056 0-050 0 0-077 0-034 0-I/O 0-144 0-182 0-127 0-025 0-05/ 0-079 0 1106 0-006 0 0 0002 This material is copyright - all rights reserved Reproduced under licence from The Steel Construction Institute on 12/2/2007 To buy a hardcopy version of this document call 01344 872775 or go to http://shop.steelbiz.org/ Steel Designers' Manual - 6th Edition... 1087 Steel Designers' Manual - 6th Edition (2003) 1088 Bending moment, shear and deection B/JILT-/N BEAMS LA A 8 L C _ M NMB MA _M8 MA V - WL 7/Qx 9x #Mmax WL/233 N5Qn SWL MMWL//6 ) x=OS5L This material is copyright - all rights reserved Reproduced under licence from The Steel Construction Institute on 12/2/2007 To buy a hardcopy version of this document call 01344 872775 or go to http://shop.steelbiz.org/... W/Z L/2 H ẳ O-WL3 364(1 Steel Designers' Manual - 6th Edition (2003) Bending moment, shear and deection B(//LT-/N BEAMS 2W/a fwTw/a L b L NMa MAV MA =-J'2(Jo/obL) MA This material is copyright - all rights reserved Reproduced under licence from The Steel Construction Institute on 12/2/2007 To buy a hardcopy version of this document call 01344 872775 or go to http://shop.steelbiz.org/ M3 mAC Mx =P.X+M3-... W W/2 b -f L I 1NMB MA Maz_R(4L_3a) L MA 1 MB MA _!10L _15# 502) M3 _lOL2(5L4t = = W/2 = (/oL-/sLa'#8a) R = '/5L ec) dmax = (/SLMa) 1089 Steel Designers' Manual - 6th Edition (2003) 1090 Bending moment, shear and deection BUILT/N BEAMS parabolic total /oao W JM8 This material is copyright - all rights reserved Reproduced under licence from The Steel Construction Institute on 12/2/2007 To buy a hardcopy... moments reverse the deflect/ons Steel Designers' Manual - 6th Edition (2003) Bending moment, shear and deection BUILT/N BEAMS p p I- L/2 L/2 b MA L' Al5 - MA = - M5 = M = PL/8 This material is copyright - all rights reserved Reproduced under licence from The Steel Construction Institute on 12/2/2007 To buy a hardcopy version of this document call 01344 872775 or go to http://shop.steelbiz.org/ MA LZ EEE3... of this document call 01344 872775 or go to http://shop.steelbiz.org/ p AL MA =M = /9PL/72 MD =1/ PArJ LJA I I RA = S PL3 dmax 548?1 pp + C D Ê+ BL L/4 L/4 L/4 L/4 II A p JP/2 4/PL3 PPpp 1I 34C D+L/4 PB E 4L14 L/L/4 +L/4 MAVNMB MAL/L NEiNMB MA=MB =rSPL/,6 = JPL /15 MA =M3=I/PL/j2 MD = Mf = SPL/32 2P dmax PL3 96(1 max = 96(1 Steel Designers' Manual - 6th Edition (2003) Bending moment, shear and deection... 00408 00 430 004/3 00425 1093 Steel Designers' Manual - 6th Edition (2003) 1094 Bending moment, shear and deection PROPPED CAN T/L(VERS /w A W _ a B C C -f-b MA 3L/8 This material is copyright - all rights reserved Reproduced under licence from The Steel Construction Institute on 12/2/2007 To buy a hardcopy version of this document call 01344 872775 or go to http://shop.steelbiz.org/ = WL - 9W! C... N A3 = [L(//L -/S,i#(5L- a)] RA=W-RB Steel Designers' Manual - 6th Edition (2003) Bending moment, shear and deection PROPPED CANTILEVERS W.iw4, 51 CD fAA 1 This material is copyright - all rights reserved Reproduced under licence from The Steel Construction Institute on 12/2/2007 To buy a hardcopy version of this document call 01344 872775 or go to http://shop.steelbiz.org/ I L Wa2 M5=2M F c-'3'L 8TN . (360) 275 150 (63) 150 (150 ) -20 40 150 (63) 150 (150 ) 43DD (3) 430 275 – 100 -30 27 – (9) to to S275NL (ML) 510 (510) 275 150 (63) 150 (150 ) -50 27 150 (63) 150 (150 ) 43EE (4) 580 275 150 (5). (450) 355 150 (63) 150 (150 ) -20 40 150 (63) 150 (150 ) 50E (3) 490 355 – 100 -40 27 – (9) to to S355NL (ML) 630 (610) 355 150 (63) 150 (150 ) -50 27 150 (63) 150 (150 ) 50EE (4) 640 355 150 (5) –. (8) – S420N (M) 520 (500) 420 150 (63) 150 (150 ) -20 40 150 (63) 150 (150 ) – – – – – – – – – to S420NL (ML) 680 (660) 420 150 (63) 150 (150 ) -50 27 150 (63) 150 (150 ) – – – – – – – – – S460N (M)