A pressure cylinder with a bore diameter $($D$)$ of $450$ mm is designed for an internal

pressure $($ p $)$ of $45k\frac{g}{c}{m}^2,$ as shown in Fig. $3.$ The cylinder cover is fastened to its

flanges by means of $12$ bolts which are made of carbon steel with a yield strength $({}_y)$

of $40k\frac{g}{m}{m}^2($assume the factor of safety is $2\mathrm{.}5).$ A soft clastic gasket is inserted

between the contacting surfaces to make a fluid$-$tight joint.

determine the percentage of pressure load supported by bolts. $[$SLO $($a$),2$ Points$]$

Solution:

Calculate the safe size of fastening bolts.

$[$SLO $($c$),5$ Points$]$

Solution:

Calculate the resultant load on bolt.

$[$SLO $($e$),2$ Points$]$

Solution:

Calculate the wrench $($total$)$ torque required to tighten the bolts $($assume the

coefficient of friction between the nut and cover is $0\mathrm{.}28).$

$[$SLO $($e$),3$ Points$]$

Solution:

calculate the minimum internal diameter at which leakage will occur.

$[$SLO $($c$),2$ Points$]$

Solution:

If the diameter of fastening bolts is $33$ mm $,$ calculate the maximum permissible

internal diameter of the pressure vessel.

Solution: