Weight Distributed at Three Points

In summary, the weight at point I is 104 kg, the weight at point II is 3182 kg, and the weight at point III is 3182 kg. The weight at point I is .4075 kg more than the weight at point II, and the weight at point III is .4075 kg more than the weight at point II.
  • #1
dmw08001
3
0

Homework Statement



Total Weight of System = 3301 kg
Length, Width of Sytem = (4670mm, 1931mm)
Calculated Center of Mass = (2261mm, 1065mm)

Find weight at the following points:

Point I (104, 1046)
Point II (3182, 1867)
Point III (3182, 225)



Homework Equations



Center of Gravity equation already used


The Attempt at a Solution



3182-2261=921
921/2261=.4075
40.75% of 3301kg = 1345
Weight at B+C = 1345*2=2690

3301-2690=610kg <--weight at Point I

I really am lost...
 
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  • #2
Without knowing more about your 'system', it is hard to follow your calculations.

From simple statics, having more than two points of support introduces the possibility of a statically indeterminate situation, where one needs more information than just the total weight and the locations of the c.g. and the points of support to resolve the reactions.
 
  • #3
Sorry SteamKing,

This isn't actually a formal homework problem so I understand more info may be needed. What additional information can I provide that will help determine a solution?

My train of thought is as follows:

(Point 2 X Value) - (Center of Gravity X) = Distance from CG

Distance from CG in X Coordinate / CG in X coordinate = Percentage of Weight in X Direction

Weight in X Direction * 2 (because point II and III are along the same plane) = Weight at II + Weight III

Total Weight - Weight II + III = Weight I
 
Last edited:
  • #4
Well, you need to provide more information about this 'system' and its construction. Don't be bashful about telling what it is (unless it's secret or something.)

(Hint: it's against the rules at PF to post the same or similar threads in multiple forums. All you do is cause confusion.)
 
  • #5
It is just a big rectangular piece of machinery that we manufacture in china and we need to determine weights at each of the three feet so that we can give the customer and operations guys estimates for installation.

Static solution is all that is needed.
 
  • #6
You can sum moments in 2 directions, and sum forces in the vertical direction, to solve. We can do the math, but essentially your support forces in each leg are close to equal, about 1100 kg force in each leg. I didn't do the exact math, so this number is approximate, I'd use it for estimating only, and the value needs to be checked! Do not use it for design!
 

1. What is weight distributed at three points?

Weight distributed at three points refers to the distribution of weight or force across three points or locations. This can occur in various situations, such as when weight is distributed across three legs of a tripod or when three people are carrying an object together.

2. How is weight distributed at three points calculated?

The calculation of weight distributed at three points depends on the specific situation. In general, weight is distributed evenly among the three points, but the exact calculation may vary depending on the weight of the object, the distance between the points, and other factors.

3. What are some examples of weight distributed at three points?

As mentioned before, weight distributed at three points can occur in various situations. Some common examples include the distribution of weight across three legs of a tripod, the distribution of weight across three support beams in a structure, and the distribution of weight across three people carrying an object together.

4. Why is weight distributed at three points important?

Weight distributed at three points is important because it helps to evenly distribute weight or force and prevent uneven stress on a structure or object. This can help to prevent damage, accidents, and other potential issues.

5. How does weight distributed at three points affect stability?

Weight distributed at three points can affect stability by evenly distributing weight or force across multiple points. This can help to improve the balance and stability of an object or structure, making it less likely to tip over or collapse.

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