Mapoob Bolts (more exist than shown here) A pressure vessel of radius 10.0 in is

Question

Mapoob Bolts (more exist than shown here) A pressure vessel of radius 10.0 in is filled with a gas at a pressure of 510.0 psi (gauge). The top of the vessel is secured by an end cap of radius 18.4 in, of weight 23.5 lbf, and held in place by 14 bolts R 18.4 in End Cap What is the total force exerted upwards on the lid by the gas? Gasket Number Pressure Vessel lb Pressure Gauge r= 10.0 in What is the force exerted by the atmosphere downward on the end cap? Number lb What is the net force exerted on each bolt holding the end cap in place? Number (Scroll down for more questions.) lb,

Explanation / Answer

Part a

Force exerted on lid upwards

F = P x A

= 510 lbf/in^2 * (3.14 * (18.4 in.)^2)

= 542169.984 lbf

Part b

Force exerted by atmosphere downward

F = P x A

= 14.7 lbf/in^2 * (3.14 * (18.4in.)^2)

= 15627.252 lbf

Part C

Net force per bolt =( 542169.984 - 15627.252) /14

= 526542.732/14

= 37610.19 lbf

Part E

Net force = 526542.732 lbf

Max force = 32505 lbf/bolt

Number of bolts = 526542.732 lbf/(32505 lbf/bolt)

= 16.19 = 17

17 bolts can be removed safely

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