Why do we use avg shear stress and not max shear stress?

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Discussion Overview

The discussion revolves around the use of average shear stress versus maximum shear stress in the context of determining the safety factor for structural members, particularly in applications involving bolts and pins. Participants explore the implications of these different approaches in finite element analysis (FEA) and hand calculations.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Experimental/applied

Main Points Raised

  • One participant questions why average shear stress is preferred over maximum shear stress when calculating safety factors for structural members, suggesting that maximum shear stress might provide a more accurate representation.
  • Another participant notes that while average shear stress is used for bolts or pins in direct shear, maximum shear stress is applied for beams subjected to shear and bending, indicating a context-dependent approach.
  • It is mentioned that average shear stress calculations for wide flange beams yield results similar to those obtained from maximum shear stress formulas, but acknowledges that maximum shear stress calculations are approximations due to variations in shear stress across the member.
  • A participant shares results from a double shear test on a rod, indicating observable yielding and inquires about the role of contact stresses alongside average shear stress in their application.
  • There is a discussion about the necessity of checking for bearing stresses in bolts and plates at contact areas, suggesting that deformation and yielding at these points are permissible according to most codes.
  • One participant expresses a desire for resources on advanced theories of ductile fractures, indicating an interest in further understanding the complexities involved in shear and bearing stresses.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the superiority of average versus maximum shear stress, with multiple viewpoints presented regarding their applications and implications in structural analysis.

Contextual Notes

The discussion highlights the complexity of shear stress calculations, including the influence of geometry and loading conditions, as well as the need to consider additional factors such as contact and bearing stresses. There are indications of unresolved assumptions regarding the applicability of different stress calculations in various scenarios.

chad mcelroy
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Hello everyone, I've been messing around with FEA and I'm trying to match my simulation with hand calculations. While doing this it occurred to me that i really don't understand why we use avg shear stress instead of maximum shear stress when determining the safety factor of a structural member i.e. a pin
 
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chad mcelroy said:
Hello everyone, I've been messing around with FEA and I'm trying to match my simulation with hand calculations. While doing this it occurred to me that i really don't understand why we use avg shear stress instead of maximum shear stress when determining the safety factor of a structural member i.e. a pin
When a bolt or pin is in direct shear, average V/A shear stress is used. Maximum VQ/It shear stresses are used for beams subject to shear and bending. But often in a Wide Flange beam average shear stress is used by using the area of the web and not the flanges, and you get close to the same result as the max shear stress formula. Even the max shear stress hand calculation is an approximation, because there are variations in shear stress not only top to bottom, but often left to right as well,as FEA might show. The safety factor has it covered. Nothing tops the good old fashioned hand calcs.
 
PhanthomJay thank you for replying. I did a double shear test on 3/8 in rod of C1215 steel. I've attached the image I think. On the top and bottom of the rod the surface has noticeably yielded as if it has been cut into. are contact stresses a factor as well as avg shear stress. I'm trying to accurately account for all stresses in this type of application. Also do you know of any literature or online resources that I could use to learn more advanced theories of ductile fractures.

Thank you
 

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chad mcelroy said:
PhanthomJay thank you for replying. I did a double shear test on 3/8 in rod of C1215 steel. I've attached the image I think. On the top and bottom of the rod the surface has noticeably yielded as if it has been cut into. are contact stresses a factor as well as avg shear stress. I'm trying to accurately account for all stresses in this type of application. Also do you know of any literature or online resources that I could use to learn more advanced theories of ductile fractures.

Thank you
besides checking for shear stresses in bolts or rods (using average V/A shear stress calculations when bolt or rod is subject to shear and not bending), you must also check for bearing stresses in the bolt and plate at the contact area between the bolt/rod and the connected plate hole wall. Most codes allow for some deformation and yielding at the bearing contact areas. I haven't done much research in ductile fracture theories. Shear tear out in the plate must also be checked for holes near edges.
 
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Thank you for your help
 

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