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Anie Nancu
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When I place an object in a table, how is the weight distributed in the four legs? Is there an mathematical calculations for that?
If you assume the table is rigid then you only need consider vertical forces and you can apply the principle of Moments in the simplest way. Whilst problems involving Moments are often only restricted to a two dimensional situation, it's easily applied to a three dimensional object like a loaded table.fresh_42 said:You could draw a vector diagram.
Anie Nancu said:Thank you so much Fresh. Herewith I have attached word file just for you to visualize my question. In this case I would like to get a like to know from which point I need to draw the vector diagram. Thereby how do I get the individual vectors.
SET 1 | PRACTICAL VALUES | W | B | H | h | b | THEORETICAL VALUES (T) | |
R1 | 1.2 | 4.8 | 0.615 | 0.415 | 0.33 | 0.25 | R1T | 0.58348516 |
R2 | 1 | 4.8 | 0.615 | 0.415 | 0.33 | 0.25 | R2T | 0.39964737 |
R3 | 1.5 | 4.8 | 0.615 | 0.415 | 0.33 | 0.25 | R3T | 1.551572142 |
R4 | 0.8 | 4.8 | 0.615 | 0.415 | 0.33 | 0.25 | R4T | 2.265295328 |
TOTAL WEIGHT | 4.5 | 4.8 |
Anie Nancu said:
SET 1 PRACTICAL VALUES W B H h b THEORETICAL VALUES (T) R1 1.2 4.8 0.615 0.415 0.33 0.25R1T 0.58348516R2 1 4.8 0.615 0.415 0.33 0.25R2T 0.39964737R3 1.5 4.8 0.615 0.415 0.33 0.25R3T 1.551572142R4 0.8 4.8 0.615 0.415 0.33 0.25R4T 2.265295328TOTAL WEIGHT 4.5 4.8
'W' represents the actual weight of the object.
The Practical and the theoretical values of the reactive forces tabulated. The total seems to match somewhat but the individual values are not coinciding. That is my actual doubt. Think of it Ms Sophie. Do you think that I am proceeding in the correct method? If there is any other better choice kindly let me know. It is already 12.25 am. I am very tired thinking about it all day long. I need to sleep. I don't know what time it is now at your place. Tomorrow morning I will be eagerly waiting for your reply. Take care.
Anie Nancu said:Sorry the weight of the book is around 1 kg
PeroK said:S I'd also suggest you initially test the weight on a line down the centre of the table to check the 1D case. This will be a simpler way to test your measurements and calculations.
PeroK said:This will be a simpler way to test your measurements and calculations.
Yes. The table may just not be uniform in the first place. With no book, are the four readings all the same?PeroK said:PS I'd also suggest you initially test the weight on a line down the centre of the table to check the 1D case. This will be a simpler way to test your measurements and calculations.
Note - it is not your fault if you have been set an exercise to do which demands extra skills that may be new to you. Look upon it as an excuse to learn an approach which your teachers may have not helped you with. PF is a good source of practical advice for people who have taken the trouble to come here.Anie Nancu said:True.
The weight of an object does not directly affect the distribution among the four legs of a table. However, the weight of the object will determine the overall weight that the table must support, which can impact the stability and balance of the table.
In an ideal scenario, the weight of an object would be evenly distributed among the four legs of a table. However, this is not always the case as the weight distribution can be affected by the shape and size of the object, as well as the position of the object on the table.
The shape of an object can have a significant impact on the weight distribution among the four legs of a table. Objects with a larger surface area or uneven weight distribution can put more strain on certain legs of the table, causing an imbalance.
Yes, the position of an object on the table can affect the weight distribution among the four legs. Placing a heavy object closer to one leg can cause that leg to bear more weight, leading to an uneven distribution.
The material of the table can impact the weight distribution among the four legs. For example, a table made of a lighter material may not be able to support as much weight as a table made of a heavier material, leading to an uneven distribution among the legs.