# Replace all the loads on the beam with one resultant force.

1. Aug 31, 2013

### aerograce

1. The problem statement, all variables and given/known data

Knowing the distance d=1.5m, determine the resultant of the loads acting on the beam shown in the attachment. Specify the point of application of this resultant on the beam.

Given data: F1=100KN, l1=1m. F2=50kN,l2=1.5m. F3=60KN, l3=4m.
Variables: Resultant Force R, and its lever arm L.

2. Relevant equations

R=F1+F2-F3=90KN(Pointing downwards)
Take the most left point as reference:
M=-F1*l1-F2*l2+F3*l3=65 KN*m (Counterclockwise direction)

3. The attempt at a solution
The problem I have is that, since R is pointing downwards, it will never create a counterclockwise direction moment, hence this problem cannot be solved. But on my book, anwser is given like this:
R=90KN downwards @0.722m from the left end

Thank you for helping me:)

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• ###### QQ??20130901001252.png
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Last edited: Aug 31, 2013
2. Aug 31, 2013

### SteamKing

Staff Emeritus
You have the 50 kN load located at 4m from the left end. This location does not match the attached diagram.

3. Aug 31, 2013

### aerograce

Sorry for my mistake, corrected just now