Question

The preloads of the M10 bolts used in a pressure vessel are applied with the wrench shown. For the 16,500 N preload force, Fi, the required torque, T, is approximated as T=K*Fi*d where K-0.20 and d is the nominal bolt diameter. The required torque is developed by applying a force to the end of the wrench as shown. The wrench material is AISI 1035 steel, forged and heat treated. For the applied force, determine the critical failure spot for yielding on the wrench and determine the factor of safety at that point M10 Bolt wl 16 wide hexagonal head 40 mm OD assume 16 mm ID 3 mm R 25 OD solid 50 mm 50 mm F -40 mm D solid 310 mm 400 mm W Note, choose one or more than one of the following MC answers and then type the letter (s) corresponding to the question number in the essay section of this problem with supporting calculations contained on the scratch sheet. If the answer requires the correct answer is "type that in the essay section as well.7a) Critical failure spot: a) At end of hexagonal 40 mm OD where wrench and bolt meet b) At radius (R=3 mm) at side of shaft c) At end of rod where F is applied d) At point where solid shaft and solid rod intersect e) All of the above f) None of the above, the correct answer is: 7b) Factor of safety against yielding at critical failure spot: a) FS=6 to 7 b) FS-Oto 1 c) FS=36 to 38 d) FS=9 to 10 e) All of the above f) None of the above, the correct answer is:

Answer 1

Given! bolts used in The preload of the mo pressure vessel ip Fi= 16.5 KN K-0.2 required Torque, TE K&Fixd T= 0.2 x16.5 x 10 T = 23 33x103 The loading diagram is- material AISI 1035 Steel 40mm OD ID 16mn 50mm D = 40mm shaft yield stress, 125mm 0 = 340 mpa 7 = 50 mm 310mm 400mm 7@ Critial failure spor At end of hexagonal 40mm op where wrench and bolt meet. (Because in the point bending moment is maximem) 716) Factor of safety against yielding at critical failure spor- also T= F x 400 33x103 = FX4-00 F 82-5 N how bending mom ent, ME FX (310750) me 82.5*(360) = 99700 Nem how shear stress, T- 16T Do T 1 Do-Di ) 16x33x10² x 40 Ta 2.7mpa F (409-164) bending stress, b= 32 M DO "2009-09) 324 29700X40 T(404-169) of= 4.81 mpa

how facts of safely from marimum shear stres they 0.5 04 S Jerne (4:34 (9,78 0:5X310 क 17 4.2 34080 salo