How to Calculate Shear Stress in a Wooden Block?

[NinjaGodel]

Homework Statement

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.

 

[nvn]

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?

 

[NinjaGodel]

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

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

Plus the inner face of the left block I drew

Right?
Thanks for your help by the way

 

[nvn]

NinjaGodel: That is correct. And your answer looks correct. Excellent work.