1-25.  A wooden board is subject to a load . The grains of the wood have an angle of  as shown in the figure. Determine the distributions of the normal and shear stress that act perpendicular and parallel to the grains.

Solution:

 

,  ,  ,  

In the new coordinates system, we have

 

Thus,   follows .  

 

Thus,   follows .                                                                    Ans.