Question

PROBLEM 6 120 N/m 60 N.m D For the beam and loading shown, (a) draw the shear and bending-moment diagrams, (b) determine the maximum absolute values of the shear and bending moment. 200 N/m 500 mm 400 mm 300 mm

Answer 1

76 solution Gonom 800mm400-300 120N/m MA Since A is fixed Support so it will resist both vertical HA & horizontal forces 200N/m also the external moment VA external horizontal force-o .: horrontal reactica (HA=0 leb VA= vertical reaction at A MA Reaction mo ment at A qYet) for equilibrium of the > X structure Elx ct) Efyzo VA + 200X0.8 -120X0.350 sign convention SYE) -: VA - -124 N : VA 129NQ) als, EMA=0 ( assume anticlockwise moment as positives :-(120X0-3)*1.35 +60 + 200*0.8X039 + MA me-75.4 MA= 75.4 N-ml clockwise)

calculation of shear force at diffrent point ( Note: FR = Fy=-12080-3--36N Fc 7-36N FA =-36+ 200X0.8. 7129N Right upward Shear force = (4) Right downward shear force=t) calculation of Bending moment (m) at diffrent points MB=0 MD = 120x0.3X0:15 s.qN- Note sagging moment (vas positive hogging moment (n) as megaline - - Mc); just right = 120 X0.3x0.55 = 19.8 N--003 (Mc) Just left = 19.8-60= 40.2 N-my MA - 120x0.3X 7.35-60 200X0.8X0.q=75.4 No 5 for uniformly distributed load Variation of Shear force vis portabela Straight line and of bending moment was parabala

@ 1241 q FIND B A 07 -36 Shear force, diagrami 75.46 ( 19.8 5.4 m (N-m) B е D -40.27 Bending moment diagram b) from above diagram Fmax 124 N. Mman Aus. = 75-4 N-70