How to Calculate Shear Stress in a Wooden Block?

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Discussion Overview

The discussion revolves around calculating shear stress in a wooden block, focusing on the identification of shear stress locations and the application of relevant equations. It includes elements of homework-related problem-solving and technical reasoning.

Discussion Character

  • Homework-related, Technical explanation

Main Points Raised

  • The original poster expresses uncertainty about where shear stress occurs in the wooden block and how to calculate it.
  • NinjaGodel explains that shear stress occurs uniformly on specific planes, referred to as "shear tear-out," and encourages the original poster to explore this further.
  • NinjaGodel suggests that the ultimate load for shear stress in steel should be considered as double the previously computed value due to double shear conditions.
  • The original poster acknowledges the correction regarding double shear and seeks confirmation about the shaded surface area being the correct area for calculating shear stress.
  • NinjaGodel confirms the original poster's understanding and correctness of their answer.

Areas of Agreement / Disagreement

Participants appear to agree on the concept of shear stress occurring on specific planes and the adjustment for double shear; however, the original poster's initial uncertainty indicates that the discussion is still in a learning phase.

Contextual Notes

The discussion does not clarify specific assumptions regarding material properties or the exact configuration of the wooden block, which may affect the calculations.

Who May Find This Useful

Students or individuals interested in mechanics of materials, particularly those studying shear stress in structural applications.

NinjaGodel
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Homework Statement


shear.jpg



Homework Equations



\sigma = F/A

The Attempt at a Solution



I understand that I should evaluate the different forms of stress to find different values of the ultimate load. I also understand that I should choose the smallest value among them since anything greater than the smallest value will cause failure.

I know how to calculate the normal stress in the block and the shear stress in the steel.
I don't understand where shear stress occurs in the block and thus how to calculate it.

shear2.jpg
 
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NinjaGodel: Shear stress occurs uniformly on the two planes represented by the dashed lines. This is often referred to as "shear tear-out." Give it a try.

Also, hint 1: Should Pu for tau_steel be two times what you currently computed?
 
nvn said:
NinjaGodel: Shear stress occurs uniformly on the two planes represented by the dashed lines. This is often referred to as "shear tear-out." Give it a try.

Also, hint 1: Should Pu for tau_steel be two times what you currently computed?

Ah yes it should be because it's in double shear

I knew that:redface:

So the double shear force on the block would go across this shaded surface area:
shear3.jpg

Plus the inner face of the left block I drew

Right?
Thanks for your help by the way
 
Last edited:
NinjaGodel: That is correct. And your answer looks correct. Excellent work.
 

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