Calculation Based on Yield strength and Ultimate strength

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Discussion Overview

The discussion revolves around the methods for calculating shear capacity in mechanical design, specifically focusing on yield strength and ultimate strength. Participants explore the significance of using these two methods in design calculations and their implications for safety and performance under load.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants propose that shear yield strength is calculated as 1/√3 times the yield strength, while ultimate shear strength is considered to be 0.75 times the ultimate strength.
  • One participant notes that the yield strength method relates to elastic behavior and working loads, but does not address safety, while the ultimate strength method indicates safety but lacks information about working load behavior.
  • Another participant expresses the belief that the factors of 0.577 and 0.75 applied to yield and ultimate strengths, respectively, are related to safety considerations, questioning the role of yield strength in accounting for plastic deformation.
  • A later reply clarifies that the factor of 0.577 is not a safety factor, while the factor of 0.75 likely serves as a safety factor.
  • One participant explains that at the onset of yielding, the shear stress in pure shear is significantly lower than the tensile stress in simple tension, leading to plastic deformation upon failure.

Areas of Agreement / Disagreement

Participants express differing views on the significance and implications of using yield strength versus ultimate strength in calculations, indicating that multiple competing perspectives remain without a clear consensus.

Contextual Notes

There are unresolved aspects regarding the definitions and applications of the factors used in calculations, as well as the implications of plastic deformation in the context of safety and design.

shinoysivan
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Hello Gurus,
I am new to mechanical design calculations.

Since I have came across one interesting fact there are two methods using for finding the shear capacity of the components. Yield Strength and Ultimate strength.
Shear yeild strength=1/√3* Yield strength
Ultimate shear strength= .75 of of Ultimate strength
Up on these shear capcacity calculations are made.

What is the signficance of the using two methods for the design calculations? Either one is enough?
 
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The first is (the limit of) elastic behaviour and helps you decide what to do at working loads. But it says nothing about safety. The second tells you about safety but nothing about working load behaviour.
 
Pongo,
Thanks for the reply.

can you be little elaborate?

I assumed that mutliplying the yield and ultimate strength with 0.577 and 0.75 respectively are matters of saftey.

I also believed that considering yield strength is for safty purpose, as it never consider plastic region in the calculation part.

Regards
S~
 
shinoysivan said:
Pongo,
Thanks for the reply.

can you be little elaborate?

I assumed that mutliplying the yield and ultimate strength with 0.577 and 0.75 respectively are matters of saftey.

I also believed that considering yield strength is for safty purpose, as it never consider plastic region in the calculation part.

Regards
S~

See my post in this thread: https://www.physicsforums.com/showthread.php?t=521969
The .577 is not a safety factor.
The .75 on the other hand, is probably a safety factor.
 
Shear yield strength:

At the onset of yielding, the magnitude of the shear stress in pure shear is 3^0.5 times lower than the tensile stress in the case of simple tension.

When something fails in yielding, the result is plastic deformation of the part.
 

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