Wind Load Formula: Charles Hutton | A=Fsinx^1.84cos-1

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Discussion Overview

The discussion revolves around understanding the wind load formula attributed to Charles Hutton, specifically the expression A = Fsinx^1.84cos-1. Participants seek clarification on the grouping of terms and the correct interpretation of the formula, including the placement of parentheses and the exponent's structure.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant expresses uncertainty about the formula's structure and requests clarification on the exponent and grouping of terms.
  • Another participant references an external source that discusses the experimental basis for the equation, although the exact formula presented differs from the original query.
  • A third participant points out that the attached image is missing parentheses around sin(theta) and explains the implications of arithmetic operation precedence on the formula's interpretation.
  • A later reply thanks the participants for their clarifications, indicating some level of understanding has been achieved.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the correct interpretation of the formula, as there are differing views on the placement of parentheses and the structure of the exponent. The discussion remains unresolved regarding the precise formulation.

Contextual Notes

There are limitations in the clarity of the original formula due to the missing parentheses, which affects the interpretation of the mathematical expression. The discussion also highlights the potential for different interpretations based on arithmetic precedence.

cuad
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I'm not sure where to post this, so please excuse me if this is misplaced. I need help understanding how the terms are grouped in this formula for A = pressure normal to the roof. If any of you are familiar with this formula or can link me to a source containing better expressed formulas like this one I'd appreciate your help. I'm posting a screen shot of the formula from a textbook I'm looking at. It looks something like:
A = Fsinx^1.84cos-1

Apparently it's a formula belonging to someone called Charles Hutton and it looks something more like Pn= P(sinx)^(1.842cosx-1) I just want to double check whether the exponent is really (1.842cosx-1) and not something like 1.842cos(x-1).

http://i33.tinypic.com/13z6fqt.jpg
 
Last edited:
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I have never heard of it, but there is another source I found that references it as well (it even talks about the experimental basis for the equation):

When attempting to bring the velocity up to 20
ft. per sec. or 13.6 miles per hour, the thread carrying
the weight broke. These experiments are recorded under
dates of July 24, 25, 31 and Aug. 11. The results ob-
tained were tabulated and the well known formula
Pn = P (sitfx) l -**co*x-i

http://www.archive.org/stream/sixmonographsonw00flemrich/sixmonographsonw00flemrich_djvu.txt
 
cuad: First, from other sources, we know your attached image in post 1 is missing parentheses around sin theta. Secondly, because addition and subtraction have a low precedence of arithmetic operations, unlike multiplication, we know addition and subtraction expressions can be passed to a function only if the addition or subtraction expression argument is enclosed in parentheses, such as cos(x - 1). Therefore, we know the formula is Pn = P*(sin theta)^[(1.842*cos theta) - 1].
 
Hi everyone. Thank you guys for clarifying that for me.
 

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