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.

 

[DeeNos]

Shear stress occurs when an object experiences a force that causes it to slide or deform along a plane parallel to the direction of the force. In the case of a wooden block, shear stress may occur if the block is subjected to a force that causes it to slide or deform along its surface. This could happen if the block is placed on a slope or if a force is applied to one side of the block. To calculate the shear stress in a wooden block, you would need to know the magnitude and direction of the applied force and the area of the surface that the force is acting on. This can then be plugged into the equation \sigma = F/A to determine the shear stress. It is important to consider shear stress in addition to normal stress when evaluating the strength and stability of a wooden block, as failure under shear stress can also lead to structural failure.