Question

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The figure illustrates the nonpermanent connection of a steel cylinder head to a grade 30 cast-iron pressure vessel using Nbolts. A confined gasket seal has an effective sealing diameter D. The cylinder stores gas at a maximum pressure Pg For the specifications given in the table for the specific problem assigned, select a suitable bolt length, assuming bolts are available in increments of 5 mm. Then determine the yielding factor of safety np the load factor n, and the joint separation factor no. Take the value of Efor steel as 207 GPa and for cast iron as 100 GPa. F E D B Head thickness (A) Cylinder thickness (8) Cylinder ID (0) Gasket sealing diameter (D) Bolt circle diameter (E) Head outer diameter ( Number of bolts (M Cylinder pressure (P) 20 mm 20 mm 60 mm 100 mm 200 mm 300 mm 10 7.5 MPa

Answer 1

Solution page noul 2 Given D 2100mm, E 2200 mm À - 20mm, B-20mm, e360mm, F 2 300 mm N-10) Iso 9.8 M1261.45 Pg= 7.5mpa; Esteel - 2074pa Solution for M12, Height H= 10.8mm ECI=100 Goa L2l+H = 40 + 10.8 APBz 4omm 2 50.8 mm Readily available Length 2=55mm Nome, 2722d+6= 2 (12) + 6 = 30mm ld ²2 - 27 = 55-30 = 25mm; ft 2 d-la = 60-25 = 15 mm Area Aa=t(12²)/4 = 113.1 mm Tensite Area A = 84.3 mm² j Nowe ky= Add to 11 113.1%84-3x 207 518.8 MN]m Adbetaald 113.) X15 + 84.3825 to A=20mm, d=12mm, Dz 18mm E=2076pa ki 1.5774R (207) (12) ln / 145S (20) + 18-12) (18+12) = 4470 MN/m -1.155 (20) +18712 18-12/ Cast Iron; t= 20mm, dz 12mm; D = 18mm; E=100Gpa ( 4470) 215 9 mwlm. km = 1 + L 1456 MW/m. 4470 2159 Constant Cz ko 518.8 kotkm 818-811456 0.263 kqz 100

Solution page no: 2 Droof Stress Sp = 65g mpas 20.75 (84-3) 650 x16. 9.) len Fi = AX Spx 2) 7.5% T / (60)²x10 Total load, Protal = Pg Ae = Per bolt = 21.2086N 2.12 kN/budt P= Ptotal 21.205 10 Yielding factor of Safety 650x84.38103 CP+Fi 0.263x 2-12 + 91.1 = 1.32 and np = Sp Az Overload Factor Safety ne=&p Az-Fi 126.00 x 84-3 - 41.10 0-263 x 2.12 24.157 ay CXP Sepenation Factor of Safety 41.10 PCI 22.12 (1-0.263) no - 26.3 upvote please Thank you I keep Safe