Mohr's circle is shown for a point in a physical object that is subjected to plane stress. If 1 grid square = 54 ksi, determine the angle 8p to a principal plane. y -22.5° -36.7° -24.5° O -26.6° O -19.5° C X

The force of an L-shaped round bar is shown in the figure below. Assuming that bending moment, torque and shear force effects need to be considered, try to calculate the vertical displacement of point C. E of the entire section is 200 GPa, G is 75 GPa, I, J The calculation with A assumes that the radius of the rod is 30 mm.

Please show all steps.

There is a beam subject to a uniform force w as shown in the figure below. The E of the entire section is 200 GPa and I is 60x10^6 mm^4. (a) Calculate the reaction force at point c and the vertical displacement at point B (b) If the support point C sinks downward by 0.1m for some reason, calculate the reaction force at point C and the vertical displacement of point B.