Volume of Dishend

Determine the volume of a dished head. T Head thickness, after forming Sp Spherical radius, internal Kr Knuckle radius, internal D Outside Head diameter Sf Straight flange Internal diameter, id = D - ( 2 x T ) Head depth (less straight flange), Hd = Sp - Sqrt( [ ( Sp - Kr ) 2 - ( ( id /2 ) - Kr ) 2 ] Knuckle, included angle = ArcSin( ( Sp - Hd ) / ( Sp - Kr ) ) Depth of Knuckle Section, H1 = Kr x Sin( Knuckle included angle ) Depth of Spherical Section, H2 = Hd - H1 Temporary variable, A = ( id / 2 ) - Kr Temporary variable, B = Sqrt( Kr 2 - H1 2 ) Diameter where spherical radius intersects the knuckle radius, D2 = id - ( 2 x Kr ) + ( 2 x B ) Volume1 = Pi x A x H1 x [ A + Sqrt( Kr 2 - H1 2 ) ] + [ Pi x ( Kr 2 ) x [ H1 + [ A x ArcSin( H1 /Kr ) ]] - [ ( Pi /3 ) x H1 3 ]] Volume2 = H2 2 x Pi [ Sp - ( H2 /3 ) ] Volume3 = [ ( id 2 x Pi ) /4 ] x Sf ...volume contained in straight flange Hv, head volume ( not including straight flange portion ) Hv = ( Volume1 + Volume2 ) /1000000 Total Head volume, mm² = ( Volume1 + Volume2 + Volume3 ) /1000000 Read more: http://wiki.answers.com/Q/How_do_you_calculate_a_dish_end_dime nsions#ixzz1XFUSxMuO

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Transcript of Volume of Dishend

Determine the volume of a dished head.T Head thickness, after forming Sp Spherical radius, internal Kr Knuckle radius, internal D Outside Head diameter Sf Straight flangeInternal diameter, id = D - ( 2 x T )Head depth (less straight flange), Hd = Sp - Sqrt( [ ( Sp - Kr ) 2 - ( ( id /2 ) - Kr ) 2 ]Knuckle, included angle = ArcSin( ( Sp - Hd ) / ( Sp - Kr ) )Depth of Knuckle Section, H1 = Kr x Sin( Knuckle included angle )Depth of Spherical Section, H2 = Hd - H1Temporary variable, A = ( id / 2 ) - KrTemporary variable, B = Sqrt( Kr2 - H12 )Diameter where spherical radius intersects the knuckle radius, D2 = id - ( 2 x Kr ) + ( 2 x B )Volume1 = Pi x A x H1 x [ A + Sqrt( Kr2 - H12 ) ] + [ Pi x ( Kr2 ) x [ H1 + [ A x ArcSin( H1 /Kr ) ]] - [ ( Pi /3 ) x H13 ]]Volume2 = H22 x Pi [ Sp - ( H2 /3 ) ]Volume3 = [ ( id2 x Pi ) /4 ] x Sf ...volume contained in straight flangeHv, head volume ( not including straight flange portion )Hv = ( Volume1 + Volume2 ) /1000000Total Head volume, mm² = ( Volume1 + Volume2 + Volume3 ) /1000000

Read more: http://wiki.answers.com/Q/How_do_you_calculate_a_dish_end_dimensions#ixzz1XFUSxMuO

http://wiki.answers.com/Q/How_do_you_calculate_a_dish_end_dimensions#ixzz1XFUSxMuO

Volume of Cylinder

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