Inputs: ● ● ● ● F₁ = 9 KN F₂= 2 KN 0 = 30° a = 3 m b=1m At what distance "d" must the resultant force be located in order for the two systems to be equivalent? a F₁ d b F₂ R

Structural Analysis
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Chapter2: Loads On Structures
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Problem 7:
Inputs:
●
●
●
●
F₁ = 9 KN
F₂= 2 KN
0 = 30°
a = 3 m
b=1m
At what distance "d" must the resultant
force be located in order for the two
systems to be equivalent?
a
F₁
d
F₂
R
Transcribed Image Text:Problem 7: Inputs: ● ● ● ● F₁ = 9 KN F₂= 2 KN 0 = 30° a = 3 m b=1m At what distance "d" must the resultant force be located in order for the two systems to be equivalent? a F₁ d F₂ R
Expert Solution
Step 1: Introduction

Given data,

F1 = 9 KN
F2 = 2 KN
θ = 30°
a = 3 m
b = 1m

 

To determine the distance d, for resultant R to be q=equivalent to the two systems of forces.

Using the concept that equivalence needs to be considered in terms of load and moment both.

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