If the resultant of the loads shown passes through point B, determine the equivalent force-couple system at O.11.6 kipsPart 1CorrectRx =2.9¹OAnswers:R₁ =0A-20.82.2'3.9 kips5.1'If the resultant passes through B, the original system must be equivalent to the new system shown (a single force passing throughpoint B with no accompanying couple).tOB2.2¹R₂A 2.2¹B13.1 kipsSolve for the forces R, and Ry so that the forces in the original system are equal to the forces in this new system.RMkipsxkips The equivalent force-couple system at O looks like this.MoAnswers:Rx =RSolve for the forces Rx and Ry so that the forces in the original system are equal to the forces in this new system.Ry=HintPart 40R₂-20.8BAnswer: Mo = ikipskipsNow find Mo (the couple in the new system) so that the moments about point O are the same in both systems.Attempts: 1 of 3 usedkip-ft.

Answered: Image /qna-images/answer/3f617224-1689-487e-a2d7-cbf794376820.jpg

11.6 kips Part 1 2.9 Correct 2.2 3.9 kips 5.1' OB RA If the resultant passes through B, the original system must be equivalent to the new sy couple). point B with no accompanying R₂ A 2.2 B 2.2 13.1 kips R₂ x

11.6 kips Part 1 2.9 Correct 2.2 3.9 kips 5.1' OB RA If the resultant passes through B, the original system must be equivalent to the new sy couple). point B with no accompanying R₂ A 2.2 B 2.2 13.1 kips R₂ x

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Dimensional homogeneity

The term dimensional homogeneity means that in an equation, the dimensions of each term on both sides are equal, which means the dimensions of the left-hand side (LHS) of an equation are similar to the dimensions of the right-hand side (RHS). For a dimensionally homogeneous equation, the powers of fundamental dimensions will be identical on both sides of the equation.

Question

If the resultant of the loads shown passes through point B, determine the equivalent force-couple system at O.
11.6 kips
Part 1
Correct
Rx =
2.9¹
O
Answers:
R₁ =
0
A
-20.8
2.2'
3.9 kips
5.1'
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).
t
OB
2.2¹
R₂
A 2.2¹
B
13.1 kips
Solve for the forces R, and Ry so that the forces in the original system are equal to the forces in this new system.
R
M
kips
x
kips

The equivalent force-couple system at O looks like this.
Mo
Answers:
Rx =
R
Solve for the forces Rx and Ry so that the forces in the original system are equal to the forces in this new system.
Ry=
Hint
Part 4
0
R₂
-20.8
B
Answer: Mo = i
kips
kips
Now find Mo (the couple in the new system) so that the moments about point O are the same in both systems.
Attempts: 1 of 3 used
kip-ft.

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