My Math Forum sector length. and resultant load

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 October 6th, 2018, 08:58 PM #1 Newbie   Joined: Nov 2016 From: Aus Posts: 24 Thanks: 0 sector length. and resultant load https://imgur.com/a/wNbIEES Hi for the geometry shown in the attached How to calculate the total load q/cos(beta) (force/meter) on a circle sector (Radius= R), with an angle of (delta) as shown in the attached (need to find the length of the curve (L), not sure how to find it, I reckon the answer might be : qL/cos(beta)) how to find the resultant of the load in x and y (Rx, Ry) for the load from (Q1) The answer is as follows but I need to know the detail/explanation, please Ry=-Rq cos (delta)/cos(beta) Rx=Rq(sin (delta) - sin (beta))/cos (beta) Thanks
 October 7th, 2018, 02:20 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,751 Thanks: 2135 Below is the diagram: Load.jpg A circular arc of radius $r$ and angle $\theta$ has length $r\theta$. It's difficult to read the subscripts in the diagram. What are q and delta? Why do you think L is relevant?
October 7th, 2018, 05:03 AM   #3
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Quote:
 It's difficult to read the subscripts in the diagram.
Difficult?

I find it impossible.

Can I borrow your spectacles sorry microscope?

October 7th, 2018, 06:29 PM   #4
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Quote:
 Originally Posted by studiot Difficult? I find it impossible. Can I borrow your spectacles sorry microscope?
Please all accept my apology. I did not notice how small & unclear the photo after uploading. The limitation of the file size makes it impossible to attach any explanation

So Now I change/correct the load distribution a little bit based on the better understanding to the problem. I also presented a few related examples. My question is to know how they got the results from basic math.

So I just found that I can not attach file size >19.5kB!! how to overcome this. I will try to update the attached in the main post

Thanks

 October 8th, 2018, 01:55 AM #5 Global Moderator   Joined: Dec 2006 Posts: 20,751 Thanks: 2135 It would be a lot smaller and clearer if created from scratch in, say, Microsoft Paint, and saved as a .jpg file on your PC. If you still can't upload it as an attachment, let us know.
October 8th, 2018, 04:37 AM   #6
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Yes, some file formats have a severe restriction on size.

You should use .jpg format which offers much larger file sizes.
Further, you can use greyscale, which effectively leverages or multiplies the available canvas by 3.

I haven't done this in my example, which is full colour and still only 77k.
Attached Images
 attach1.jpg (76.5 KB, 2 views)

Last edited by skipjack; October 8th, 2018 at 02:49 PM.

 October 12th, 2018, 11:40 AM #7 Senior Member   Joined: Oct 2013 From: New York, USA Posts: 645 Thanks: 85 https://tinypng.com/ can shrink the size of a PNG or JPG.

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