You are designing an irrigation spigot that must retain an internal pressure of 800 kPa HO. If someone steps on the spigot, you do not want it to fail, so you assume that it must take 1,000 N in the -y direction at B. You also calculate that it takes 500 N in the -x direction at A to crack open the spigot valve. Based on this loading condition, answer the following questions. Assume: Analysis at moment valve begins to open. First moment of area Q is 212,000 mm Moment of inertia I is 31,400,000 mm Polar moment of inertia J is 62,900,000 mm 0,65 m 1,000 N B 1.2 m 500 N QUESTION 1 [40 points] Calculate (quantify) the stress state at K, that is find ayy, Ozz, and/or Tyz. QUESTION 2 [40 points] Calculate (quantify) the stress state at H, that is find oxx, Ozz, and/or Txz- 176 mm () = 200 mm Cross section. X QUESTION 3 [20 points] Assume the spigot is steel (a ductile material) with yield strength oyield = 250,000 kPa. What allowable von Mises stress corresponds to a Safety Factor of 2.25?