The overhead electric hoist C rides rides along a track on the horizontal beam AB. In addition to the 500-kN vertical force carried by the hoist, the beam also supports the three vertical forces shown.
HOMEWORK Patricia Bianca B. Dela Cruz 3 ChE - A
PROBLEM 3.19 • A.
PROBLEM 3.19 300 kN
If x = 5m, determine the resultant of the four forces carried by the beam.
2m
120 kN 8m
200 kN 4m
3m B
A x = 5 m
500 kN Rx = ƩFx = 0 kN Ry = ƩFy Ry = -300 kN – 500 kN – 120 kN – 200 kN Ry = -1120 kN R = 1120kN
PROBLEM 3.19 300 kN
PROBLEM 3.19 120 kN
200 kN
R = 1120 kN
A
2m
8m
4m
3m
d
B
A x = 5 m
500 kN + ƩM = A
300(2) + 500(5) + 120(10) + 200(14)
= 7100 kN-m
+ ƩM = A
+ Rd
7100 = 1120 x d d = 6.34 m
1
8/10/2013
PROBLEM 3.19
PROBLEM 3.19
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FINAL ANSWER:
R = 1120 kN
A
B. Determine the distance x for which the resultant of the four forces would act at the center of the span AB. R = 1120 kN
