Quesion on Equilibrium of coplanar force

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    Equilibrium Force
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Homework Help Overview

The discussion revolves around determining the reaction components at the supports of a beam subjected to a distributed load, specifically a non-uniform uniformly distributed load (udl). Participants are exploring methods to analyze the forces and moments acting on the beam.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss converting a non-uniform udl into a simpler form and calculating the resultant forces and moments. There are mentions of using geometric areas to find equivalent concentrated forces and the centroid of the load distributions.

Discussion Status

Some participants have offered guidance on how to approach the problem using both geometric reasoning and calculus, while others reflect on their past experiences with similar problems. The conversation indicates a collaborative effort to clarify the problem without reaching a definitive solution.

Contextual Notes

There is an indication that the original poster may be facing challenges due to the complexity of the non-uniform load and the potential need for calculus, although some participants suggest that simpler methods may suffice. The discussion also hints at varying levels of familiarity with the topic among participants.

sunnywho
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I having diffculty trying to sovle this Question: Determine the reaction components at the supports of the beam due to the distribted shown
 

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You have a non-uniform udl from A to B.
Convert it to a udl of 2kips/ft from A to B with a non-uniform udl from A to the half-way point, ranging from 2 kips/ft down to 0, on top of it.
You should be able to work out the reaction/load and moment, about the point A, from the uniform udl.
Work out the reaction/load and moment, also about A, of the non-uniform udl.
 
Last edited:
Fermat you could use calculus, but it's not necessary, simply work out the areas, for the first, work it as a triangle and rectangle. Remember the area of distributed will give you the magnitude of the concentrated force from A to the middle and for the distributed force from the middle to C. Remember the forces will act on the centroid of the figures, then solve it like a concentrated force problem.
 
I didn't need calculus for the load of the non-uniform udl, but used it to work out the moment. It must be about 30 yrs since I did this stuff! Thanks for the update.
Sorry about that Sunnywho, and Cyclovenom has just simplified your problem.
 
thanks...for the help
 

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