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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 (2003) fwTw/a ____ L MAV NMa MA AB W/2 ____ ____ I /d____ 4 dmax = Wa / -Y HJ W/2 W/a W/2 —a I b -f L 1NMB MA Maz_R(4L_3a) = = W/2 dmax = (/SL—Ma) Bending moment, shear and deflection 1089 B(//LT-/N BEAMS L 2W/a b MA =-J'2(Jo/obL) M3 mAC. Mx =P.X+M3- 2W(x.-bP InCB.Mx RB.X#M5 MA A = (/OL—sLa42a) 2 , prO,, — W b I. L .1 MA — _!10L_15#502) M3 _lOL2(5L4t = (/oL-/sLa'#8a) R = '/5L —ec) MB
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 (2003) 1090 Bending moment, shear and deflection '!4 BUILT—/N BEAMS parabolic total /oao W JRa W/2 F4axJ 1.3 WL3 d,,, 384E! Any symmetrical load W r A ______ symmetrical diagram NMB MA = M8 —A,JL where A5 is the area of the 'free' bending moment diagram A RB A, JM8 A -M5=-WL//O A =R8 = W/2 fr- X, - H-X--- - - I The fic.re shown is ha/f the bending * + moment diagram C 1* and +7 LareC.GI A5x —AIX1 lmaxatC ZET Where A' is the area of the fixing moment diagram rA 2br 2 -2br----—- aab r&_ RA R8 W/2 O•4WL3 dma 384 (2' con,c*ment parabo/p MAV NMB Aq rM8i.._WL/2O a rb CM. f(Ja—L)M8c -M(3b-L) When '4I = P8 = slope of moment diagram M#M M#M Eab When '2/L = in, M. L2m2(/_m)2(1_2m) 2E% For ant/clockwise moments reverse the deflect/ons
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