If the resultant of the loads shown passes through point B, determine the equivalent force-couple system at O. 10.0 kips 12.5 kips 2.4'- 3.4' 4.8 kips OB 2.4'- 1 x

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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If the resultant of the loads shown passes through point B, determine the equivalent force-couple system at O.
10.0 kips
12.5 kips
3.4'
-2.4'
2.4'
FTF
-x
A
OB
4.8 kips
L
x
Transcribed Image Text:If the resultant of the loads shown passes through point B, determine the equivalent force-couple system at O. 10.0 kips 12.5 kips 3.4' -2.4' 2.4' FTF -x A OB 4.8 kips L x
If the resultant passes through B, the original system must be equivalent to the new system shown (a single force passing through
point B with no accompanying couple).
R₂
5.8'
2.4'
R₂
B
Solve for the forces Rx and Ry so that the forces in the original system are equal to the forces in this new system.
Answers:
Rx
kips
=
Ry=
=
0
i
17.70
kips
Transcribed Image Text:If the resultant passes through B, the original system must be equivalent to the new system shown (a single force passing through point B with no accompanying couple). R₂ 5.8' 2.4' R₂ B Solve for the forces Rx and Ry so that the forces in the original system are equal to the forces in this new system. Answers: Rx kips = Ry= = 0 i 17.70 kips
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Now find M (the magnitude of the couple in the original system) so that the moments about point B are the same in both systems.
Answer: M = i
kip-ft.
Transcribed Image Text:Now find M (the magnitude of the couple in the original system) so that the moments about point B are the same in both systems. Answer: M = i kip-ft.
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