Write legibly! You can put scratchwork on the back, but ONLY work inside the rectangles is graded. No exceptions. Unless stated otherwise, symbolic expressions must in terms of the given variables (not general-form equations.) You are designing an irrigation spigot that must retain an internal pressure of 800 kPa H2O. 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 QUESTION 1 [40 points] 0,65. m 1,000 N B 1.2 m 176 mu D= 200 mm 500 N Cross section. Calculate (quantify) the stress state at K, that is find yy, Ozz, and/or Tyz. K 1 Page 1 QUESTION 2 [40 points] Calculate (quantify) the stress state at H, that is find xx, zz, and/or Txz. QUESTION 3 [20 points] Assume the spigot is steel (a ductile material) with yield strength yield = 250,000 kPa. What allowable von Mises stress corresponds to a Safety Factor of 2.25? Page 2