Shiv i Report on vessel design

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    From fg 5.12 the required blank diameter or a 120 inch diameter

    elliptical dished head is about 152 inch. The weight o the plate is:

     The weight o two heads s !!00 lb.

     The "hell weight is:

    = 65,500 lb

     

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     The #olume o one head is gi#en b$ eq. 5.1%

    V=0.000076 di^2

    =0.000076(120)^2

    =131 cu ft per head

     The total #olume o the two heads is 2&2 cu t. the #olume o the

    shell is:

    3.14*(10)^2 8 (68)4

    = 5340 cu ft.

     The total #olume is:262 ! 5340 =5600 cu ft.

     The densit$ o 'uid is 5(.! per cu. Ft.

     The total weight o 'uid

    =(5".7)*(5600)

    =334,000 lb

     The weight o the #essel and it)s content

    =334,000 !65,500!7700

    =407,200 lb

     Thereore*

    + ,load per saddle-20%*000 lb

    /nd

    #$=%$

    =2.568 = 0.0368

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     &a'iu $+itudial bedi+ tre -

     The saddle are located close to the heads o the #essel .The

    maimum longitudinal bending stress eists at the center o the

    span between the saddles and is gi#en b$ :

    q 11. :

     

    From fg 11.5:3

    2=0.82

     Thereore ,

    "ince l4r 0.&254&0 0.010%0.005*the compression stress is

    not a actor in the design

    6$ q 7.15:

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    /a+etial hear tre -

    /s the head ser#es to sti8en the shell* the tangential shear stress

    in the head is gi#en b$ q. 11.2!

    From Fig 11.10 and with 9 equal to 120 deg.

    5= 0.88

     Thereore*

    5= (204,000)*(0.88)(60)*(0.625)

    = 4780 pi

     The tangential shear stress in the shell is gi#en b$ q 11.2 and

    as Tshell equals Thead * the shear stress in the head equals the shear

    stress in the shell .

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    ircuferetial tre at hr f addle-

    "ince the shell is sti8ened b$ the head since ; < * q 11.%2

    gi#es the circumerential stress at the horn o the middle.

    From ig 11.1& /4< 0.5 and 9 120 deg thereore

     7 = 0.013

    For the condition in which no credit or t is taken or the wear3

    plate thickness*

    = 4180 10,180

    = 14,360 pi

     The maimum permissible stress equals :

    = 12,650 * 1.25

    = 15,800 pi

    /s the stress Ft is less than the allowable stress* it is not

    necessar$ to take credit or the wear plate.

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    Fig 11.27 "ketch o #essel in eample calculation

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    %dditial tre i #ead ued a tieer -

     The additional stress induced in the head when it is used as a

    sti8ener is gi#en b$ q. 11.%%.

    From ig 11.1! and with 9 equal to 120 deg

      = 0.40

     Thereore*

    For an elliptical dished head ,= 2.0- the maimum pressure

    stress ma$ be taken as equal to the circumerential hoop stress in

    the shell . From q. !.5!

    6$ eq. !.5&

    >sing a one3piece head we fnd that 1.0

    = 8650 pi

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     The maimum combined stress in the head equals :

    2180 !8650 = 10,830 pi

     The maimum allowable stress in the head is :

    (12,650)*(1.25)

    =15,800 pi

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    i+ cprei i hell er addle -

     The stress in the shell band directl$ o#er the saddle is gi#en b$

    q. 11.%&

    From ig 11.1! and with 9 equal to 120 deg

      = 0.76

    =12,700 pi

     The allowable stress equals the $ield point di#ided b$

    two./ccording to reerence &! the $ield point o "/325* ?rade @

    steel equals 70*000 psi.

     Thereore