Shear Stress In A Wooden Block

NinjaGodel

1. The problem statement, all variables and given/known data



2. Relevant equations

[itex]\sigma[/itex] = F/A

3. 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

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.