Solution to Tributary Distance Homework Statement

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Homework Statement


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This represents simply supported beam resting on two columns. Two uniformly distributed loads act on the beam.
upload_2016-3-16_12-31-57.png

What is the distance taken by each column in this case?

The Attempt at a Solution


I calculated reaction forces. I have bending and shear forces diagrams. I do not know what to refer to in order to obtain tributary distances of each columns..(bending moment diagram, centre of gravity? ).

Values are rounded up if anybody wonders. The distances in the diagram are not known by the way.

Thanks a lot an d please help.
 
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The term "tributary width" or "tributary area" is often used when determining loads on columns from floor or roof slab loads. I have never heard the term 'tributary distance' used for simple single beam design on 2 supports.
I suppose, since you have already calculated the column loads, that the tributary distance from the right support is the distance where the total of the distributed load from that point to the right end is equal to the right column load you calculated. I guess.