6-3.  The right end of a cantilever is subject to a random force  as shown in the figure.  The cantilever has a thickness of 12 mm and  acts along the center line of the thickness. The weight of the cantilever is negligible. Determine the distribution of the tensile stress at point C.

Solution:

Section Properties

Tensile Stress at point C

Since , we have

Thus, the tensile stress at point C follows a normal distribution of .

Ans.