Solution to Tributary Distance Homework Statement

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SUMMARY

The discussion focuses on calculating tributary distances for a simply supported beam subjected to uniformly distributed loads. The term "tributary distance" is clarified as the distance from a support to the point where the total distributed load equals the column load. The participant has already calculated reaction forces and bending and shear force diagrams, but seeks guidance on determining tributary distances. The consensus is that tributary width or area is essential for understanding load distribution on columns.

PREREQUISITES
  • Understanding of simply supported beam mechanics
  • Knowledge of reaction forces in structural analysis
  • Familiarity with bending moment and shear force diagrams
  • Concept of tributary area in load distribution
NEXT STEPS
  • Study the concept of tributary width in structural engineering
  • Learn how to calculate column loads from distributed loads
  • Explore advanced topics in bending moment and shear force analysis
  • Review case studies involving simply supported beams and load distribution
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Civil engineers, structural analysts, and students studying beam mechanics will benefit from this discussion, particularly those focusing on load distribution and structural design principles.

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Homework Statement


[/B]
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.
 

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