(Solved): Problem 3The cantilever beam shown in Fig. 3.1 has a rectangular cross-section with h = 120 mm and b ...

Problem 3
The cantilever beam shown in Fig. 3.1 has a rectangular cross-section with h = 120 mm and b =
80 mm. The 12 kN and 10 kN forces act parallel to the x and z axis, respectively, and pass through
the centroid of the beam cross-section at the locations they act. The 10 kN force acts at the free
end of the cantilever, whereas the 12 kN force acts 250 mm away from the free end. The cross-
section ABCD is 750 mm away from the free end.
a) Determine the magnitude and location of the maximum tensile and compressive bending stress
at the cross-section ABCD and indicate the neutral axis on it.
b) If an additional force, F, is applied on the beam parallel to the z axis at a point 500 mm away
from the free end, what should be its magnitude and direction to make the bending stress at point
B zero?