(Solved): The cylindrical rod with a diameter of 40 mm, build-in at one end, is subjected to the load of 8 kN ...

The cylindrical rod with a diameter of 40 mm, build-in at one end, is subjected to the load of 8 kN which acts in the x ? y plane at an angle of 30? from the vertical. We are interested in studying the stress states at points A and B of the cross section located 150 mm from the fixed end.
a) Carry out the static analysis and determine the internal loads at the section of interest.
b) The area properties of this section.
c) Determine the stress states at points A and B on the section of interest.
d) Show each of the results as the full stress tensor and an element (clearly identify the orientation of the coordinates on the element).

The cylindrical rod with a diameter of \( 40 \mathrm{~mm} \), build-in at one end, is subjected to the load of \( 8 \mathrm{kN} \) which acts in the \( x-y \) plane at an angle of \( 30^{\circ} \) from the vertical. We are interested in studying the stress states at points \( A \) and \( B \) of the cross section located \( 150 \mathrm{~mm} \) from the fixed end. a) Carry out the static analysis and determine the internal loads at the section of interest. b) The area properties of this section. c) Determine the stress states at points \( A \) and \( B \) on the section of interest. d) Show each of the results as the full stress tensor and an element (clearly identify the orientation of the coordinates on the element). Figure 1: Build-in rod (Partial Ans: Point \( A \sigma=3.2 \mathrm{MPa}, \tau=7.35 \mathrm{MPa} \) )