Exercise: Force System Resultants

Questions for: Force System Resultants

Replace the force at A by an equivalent force and couple moment at P. Express the results on Cartesian vector form.

A:
F = (60j-80k) lb, M = (20i+160j+120k) lb-ft
B:
F = (60j-80k) lb, M = (300j+560k) lb-ft
C:
F = (60j-80k) lb, M = 20i lb-ft
D:
F = (60j-80k) lb, M = (-160i-400j+120k) lb-ft
Answer: A
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Replace the force at A by an equivalent force and couple moment at P. Express the results on Cartesian vector form.

A:
F = (-50i+20j+30k) N, M = (50i-130j+170k) N-m
B:
F = (-50i+20j+30k) N, M = (-50i+60j+60k) N-m
C:
F = (50i-20j-30k) N, M = (-50i+130j-170k) N-m
D:
F = (50i-20j-30k) N, M = (50i-60j-60k) N-m
Answer: C
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Determine the moment of force F3 about point A on the beam.

A:
M3 = 6930 ft-lb
B:
M3 = 6000 ft-lb
C:
M3 = 3000 ft-lb
D:
M3 = 4000 ft-lb
Answer: C
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Replace the force and couple system by an equivalent single force and couple acting at point P.

A:
F = (-0.0858i-1.184j) kN, M = 36.6 kN-m
B:
F = (-0.0858i-1.184j) kN, M = 21.6 kN-m
C:
F = (-0.0858i-1.184j) kN, M = 13.61 kN-m
D:
F = (-0.0858i-1.184j) kN, M = 35.7 kN-m
Answer: A
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Replace the loading by an equivalent force and couple moment acting at point O.

A:
R = 90 kN, M = 473 kN-m CW
B:
R = 90 kN, M = 338 kN-m CW
C:
R = 45 kN, M = 203 kN-m CW
D:
R = 135 kN, M = 270 kN-m CW
Answer: B
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