4. The simply supported beam has an I cross section.
a. Determine normal stresses at point A, B, and C on the cross section at $x = 0.8$ m. Based on that, plot the normal stress distribution acting over that cross-section along $y$ axis
b. Determine shear stresses at point A, B, and C on the cross section at $x = 0.8$ m. Based on that, plot the shear stress distribution acting over that cross-section along $y$ axis
c. Find points in the beam that have maximum normal stress and maximum shear stress
d. Determine the transformed stress state of point D on the cross-section at $x = 0.8$ m on an inclined plane at an angle of $30^\circ$. Determine principle and max in-plane shear stresses and their orientations.
15 kN
6 kN/m
2 m
1 m
20mm
B
150mm
z
C
20mm
150mm
100mm
20mm
D
250 mm
D
30°