Calculating Force R: Distributed Load Homework

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Homework Help Overview

The discussion revolves around calculating the force R that represents a distributed load, specifically in the context of a trapezoidal load distribution. Participants are examining how the value "800 N/m" is utilized in the calculations.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Some participants question the method used to calculate force R, particularly whether the value "800 N/m" was necessary. Others suggest that the calculation could be approached by considering the average distributed load over the length of the member.

Discussion Status

The discussion is ongoing, with participants sharing different interpretations of the calculation methods. Some guidance has been provided regarding breaking down the trapezoidal load into simpler components, but no consensus has been reached on the preferred approach.

Contextual Notes

Participants are discussing the implications of using different values for the distributed load and how these affect the calculation of force R. There is mention of a specific length of the member (0.6) and the varying nature of the load across its length.

princejan7
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Homework Statement



http://postimg.org/image/7vpxry28t/


Can someone explain how they calculated the force R representing the distributed load?
Did they even make use of the value "800N/m" from the question?
 
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The calculation for R is included in the solution section. You don't need to use the 800 N/m unless you calculated the value of R using the formula for the area of a trapezoid:

R = (0.6/2)*(400 + 800) = 360 N

I think they are trying to show how to break up a trapezoidal load into a constant distributed load and a triangular load.
 
Last edited:
princejan7 said:

Homework Statement



http://postimg.org/image/7vpxry28t/



Can someone explain how they calculated the force R representing the distributed load?
Did they even make use of the value "800N/m" from the question?
Yes, they used the 800, but they obtained the force R result a stupid (IMHO) way. The way I would have done it would have been to note that the average distributed load over the length of the member is 600 N/m. If we multiply that by the length of the member (0.6), we get 360 N. They did something like the following: the minimum distributed load over the length of the member is 400 N/m, so this contributes 400 (0.6) = 240N. Over and above that, the remainder of the load varies from 0 at the left end to 400 at the right end (400 to 800, minus the 400 already accounted for). The average of this excess is (0+400)/2 = 200. The load contribution of this excess is (400/2)(0.6)=120N. The total load R is again 360 N. As I said, their method is kinda stupid.

Chet
 
thanks
 

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