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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) p pp p A C V t P L/5 +Lg +L,/s+L4 BUILT—/N BEAMS MA LNMB MA AArL MA M52PL/5 MD wM — PL/5 'A B=2'° HJ d = 13PL3 max. 1000 El - Y1F,ennisoø6 ,I / / Cimox 114-4c (,ji Whennis even, EfIiiiitiIII COLUMN •:.:i•• O...o.&. ,. 4;.' •O4•4•. n CONTINUOUS BEAM Bending moment, shear and deflection 1093 LOAD PER SA4NW ppppppp 4 (n-i) forces B I I sôcev,naLJ, MA=MB=— P1,'/) }d L/n#-+-L/n4L/n+-L/-#L1-+-44 L L. - When n >10, consider the load .nitorrrdy oYstiibuted - The load on the outside stringers is carried c'/rect/y by the supports The continuous beam Is assumed to be horizontal at each support The reaction at the supports for each s,oan = W/2. but the maximum shear force in any span of tM continuous beam = V/J.IAW The value of the fixing moment at each support = — B. WL The value of the maximum positive moment for each span = C. W4 The value of the maximum deflection for each span —0'0O26 Value ofn A B C 2 02500 00625 0•0 625 3 0•3333 0074/ 00370 4 03750 0078/ 00469 S 04000 0-0800 0•0400 6 04/67 Qc// 0•0439 7 04286 0O8/5 00408 B Q•4375 00820 00 430 9 04444 00823 004/3 10 04500 00825 00425
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) 1094 Bending moment, shear and deflection MA MA MA=— A I = — WL --- dmax. — - ____ WL3 /W A C B Web / w A C B x/Lm L PROPPED CAN T/L(VERS 3L/8 - — 9W!. C — —--_J P8 P3 =f LA'max. d=j(m —Jm3#2m) 'P J2 (o - n 2) = f (n'-n-pi.e) a, d=J42/n3(3n?-6b5 When x a. dj[2p4—p3n (n-6n,'.8)+ _________ pn2(jn2_8n#6)] W ___ BA b .f- c—.J L°' MA7tS MA =— d2-c2)(29c2_c12) L C a -f-b MA=— f (2n)2wñere a/Ln #Mmax -n (4-n)] RA RAi4J[8n2(4n)] P3 Hn2( fl) dC(/_I2n#7n2_n) -____ R8=r5— Where and r3 are the simple support reactions for the beam (MA being considered positive) 1
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