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Combined shear stresses for group welds 1

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mechengineer

Mechanical
Apr 19, 2001
256
Hello,

May anyone advise me a formula to combine shear stresses due to all of P, Vl, VC, MT, ML & MC? It is a group welds.
I can calculate the shear stress individulay subject to the 3-forces and 3-moments as per Shigley's Mechanical Engineering Design, Chapter 9.

Thanks in advance.
Capture_iugpxc.jpg
 
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@dik, Thanks.
Is there a simple manual calculation performed by Excel?
 
Catch the thread... it's not really simple with Excel, either. The AISC sheet provides no numeric information... it's protected.

thread507-478293

and messages by DrZoidberWoop and Celt83; they provided excellent assistance... the Dr referenced Alex's spreadsheet and Celt had his own...


Rather than think climate change and the corona virus as science, think of it as the wrath of God. Feel any better?

-Dik
 
I was going to add that it's more fun when the loads are not applied at the centroid of the section... The SMath one is for a W section... but, I have them for all other sections and irregular outline.

Rather than think climate change and the corona virus as science, think of it as the wrath of God. Feel any better?

-Dik
 
@Dik,

Thanks for your concern. Due to Covid-19, I have been working at home. Singapore is not so bad. Hope you evrything going well.
I find the the way to combine those shear stresses. At first, divide all stresses vector along x, y, z axis, then combime it as sqrt (tx2+ty2+tz2).

Thanks.
 
Back in the olden days (2017) I made this "for dummies" explanation of the general elastic method for 2D weld groups, while studying for the PE exam. It's kicking around in a few places online. I didn't derive anything, just made the flow more suited to visual learners like myself.
ElasticWG1_cog6ol.png

ElasticWG2_w5pzvw.png
 

Not a concern... the Dr. is in...

Rather than think climate change and the corona virus as science, think of it as the wrath of God. Feel any better?

-Dik
 
DrZoidberWoop:
nice document there very informative. only minor caviate I would add is the under fz you note M c / I for the bending components of the stress this formula is really only correct for principal axis bending. For the shape you show in your document moments about the X and Y axis would be non-principal axis moments so you should really be using the general bending stress formulas, although folks have used My/I for years per Blodgett and not gotten into trouble, likely due to the highly conservative nature of the elastic method.

My Personal Open Source Structural Applications:

Open Source Structural GitHub Group:
 
Celt... I noticed that in your spreadsheet and had missed it in my initial attempt... thanks...

Rather than think climate change and the corona virus as science, think of it as the wrath of God. Feel any better?

-Dik
 
Celt83: That would be a really good update to the Tomanovich spreadsheet, and all the knockoffs I've come across. One of these days, I'll have to make the update.
 
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