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FOR M 12 times 1.25 BOLTS ARE USED IN THIS PRESSURE VESSEL JOINT. THE VESSEL MAT

ID: 1709952 • Letter: F

Question

FOR M 12 times 1.25 BOLTS ARE USED IN THIS PRESSURE VESSEL JOINT. THE VESSEL MATERIAL IS ALUMINUM AND BOLT MATLAB STAINLESS STEEL CALCULATE THE FATIQUE FACTOR OF SAFETY, USING GOODMAN CRITERIA AND INFINITE LIFE P_MAX = 2.2 N/MM^2 P_MIN = 0.8N/MM^2 L=90 MM D=200 MM PRELOAD MAX = 40000 N SPRING RATE FOR THE COMPRESSED FLANGES CAN BE BASED ON A CYLINDER WITH OUTETR DIAM 2X BOLTS DIAMETER AND INNER DIAMETER 1X BOLT DIAMETER S_UT BOLT = 850 N/MM^2 S_E BOLT = 110 N/MM^2 THREAD LENGTH CAN BE ASSUMED NEGLEGIBLE FOR K_B CALCULATION.

Explanation / Answer

Given

Pmax = 2.2 N/m2, Pmin = 0.8 N/m2

A = 0.0494m2

max = 44.534 N/m2, min = 16.194 N/m2

’a = ( max - min)/2 = 14.17 N/m2

’m = ( max + min)/2 = 29.352 N/m2

Factor of Safety

.Se)

= (110*850)/(14.17*850 + 29.352*110)

= 6.12