Question

Q3133.3%) Calculate the absolute maximum moment due to shown. roading moving GOK BOK 40K 20K + A B 36 PE

calculate the absolute maximum moment due to moving loading shown

Answer 1

Given Gok &ok Aok 2.0K 3ft 2.5ft 2st 3oft Assume distance between bok and sok=3ft 8ok and 40k=2.5ft 4ok and 2ok =2ft The ILD for absolute bending moment Can be araw nas: 20K воk gок 4ok D 3ft 2.5ft aft y, Yc 192 193 15.725 * 14627541 fig: -ILD for absolute maximum moment In order to find the position for absolute maximum moment position of Cogo system is to be located. of load The distance of .CoGo for the load of 20k given by : leading is

40X2 + 80X4.5+60X705 20+40480460 = 4.45ft It is nearer to 80k load and this load is heavier than another nearer Loaa of coke Hence maximum moment will occur unaer 80 k load Distance between this load and the resultant is given by:- a = 4:45— 3) = 1.45ft Position of sok load for maximum moment 30 t 1-45 - 15.725 215.725ft trom(A) o Z For the section at 15.725 ft from A ILD ordinate for moment. Yc = Z (L-2) L Z 15.725 (30- 15.725) 3o yc -7.482 From above tigureg absolute bending moment 604 +8oyc+ 4042 +2013 60X10-725 +80+40x 12.725 +20x 13.025 14.275 1x7.482 14.275 15.25 = [40.92 92 +80+. 38.45 + 18-24] X7.482 1328.87 k-ft The absolute bending moment Que to moving load shown = 1328.27 k-ft Answer