Solution to Problem 123 Shear Stress

Problem 123
A rectangular piece of wood, 50 mm by 100 mm in cross section, is used as a compression block shown in Fig. P-123. Determine the axial force P that can be safely applied to the block if the compressive stress in wood is limited to 20 MN/m2 and the shearing stress parallel to the grain is limited to 5MN/m2. The grain makes an angle of 20° with the horizontal, as shown. (Hint: Use the results in Problem 122.)
 

123-wood-block-with-grains.gif

 

Solution 123

 

Good day po, ask ko lang sana kung bakit involved na agad yung sec(20) sa Normal Area at hindi 100 times 50 muna. If I am not mistaken, yung Normal Area is 5000mm^2 lang naman kasi yun yung area perpendicular to the force P.