cone layout tool

1 Pressure Vessel Engineering Ltd. 2 Finite Element Analysis ASME Code Calculations 3 Canadian Vessel Registration Vessel Modeling and Drafting 4 Page 1 of 1 5 Cone Inputs: 6 Sample Cone Description 7 24.00 8 12.00 9 5.000 10 0.250 11 12 13 14 15 16 Calculated Variables: 17 ((LOD-2*t)-SOD)/2 ((24-2*0.25)-12)/2 = 5.750 18 ATAN(Y/L) ATAN(5.75/5) = 0.855 19 SQRT(Y^2+L^2) SQRT(5.75^2+5^2) = 7.620 20 SQRT(BL^2+t^2) SQRT(7.62^2+0.25^2) = 7.624 21 ATAN(t/DL) ATAN(0.25/7.624) = 0.033 22 Degrees(G+B) DEGREES(0.033+0.855) = 50.9 23 (t*cos(Radians(GB)))/2 (0.25*COS(RADIANS(50.9)))/2 = 0.079 24 (LOD-2*t)/2+Y2 (24-2*0.25)/2+0.079 = 11.829 25 SOD/2-Y2 12/2-0.079 = 5.921 26 Layout Dimensions: 27 DDI/(sin(Radians(GB))) 5.921/(SIN(RADIANS(50.9))) = 7.633 28 DDO/(sin(Radians(GB))) 11.829/(SIN(RADIANS(50.9))) = 15.249 29 (DDI/Ri)*360 (5.921/7.633)*360 = 279.254 30 Comments: 31 - This program calculates thickness corrected cones where 32 the inside of the large end of the cone touches the inside 33 of the large pipe and where the outside of the small end of the 34 cone touches the outside of the small pipe. 35 - Ri, Ro and all lines share the same origin. 36 - The prebend tabs shown here are used for some pyramid 37 rollers if required. 38 - If a brake press is used to bend the cone, then all bend lines 39 should pass through the origin. 40 - This program assumes that the large pipe has the same thickness as the cone. The thickness of the small pi 41 - Adjust the length of the cone if required to get the desired cone angle GB. 42 - This program is intended for educational use only. Pressure Vessel Engineering Ltd. Is not responsible for 43 Pressure Vessel Engineering Ltd. 44 120 Randall Drive, Suite B 45 Waterloo, Ontario, Canada, N2V 1C6 46 Cone Layout Tool ver E4.02 LOD [in] - OD of the large pipe SOD [in] - OD of the small pipe L [in] - cone length t [in] - cone and large pipe thickness Y [in] = B [rad] = BL [in] = DL [in] = G [rad] = GB [deg] = Y2 [in] = DDO [in] = DDI [in] = Ri [in] = Ro [in] = Theta [deg] = www.pveng.com (519) 880-9808 L SOD LO D t GB Theta Ro Ri Bend Lines Origin Pre-bend

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1 Pressure Vessel Engineering Ltd.2 Finite Element Analysis ASME Code Calculations3 Canadian Vessel Registration Vessel Modeling and Drafting

4 Page 1 of 1

5 Cone Inputs:6 Sample Cone Description7 24.008 12.009 5.00010 0.25011

16 Calculated Variables:17 ((LOD-2*t)-SOD)/2 ((24-2*0.25)-12)/2 = 5.75018 ATAN(Y/L) ATAN(5.75/5) = 0.85519 SQRT(Y^2+L^2) SQRT(5.75^2+5^2) = 7.62020 SQRT(BL^2+t^2) SQRT(7.62^2+0.25^2) = 7.62421 ATAN(t/DL) ATAN(0.25/7.624) = 0.03322 Degrees(G+B) DEGREES(0.033+0.855) = 50.923 (t*cos(Radians(GB)))/2 (0.25*COS(RADIANS(50.9)))/2 = 0.07924 (LOD-2*t)/2+Y2 (24-2*0.25)/2+0.079 = 11.82925 SOD/2-Y2 12/2-0.079 = 5.921

26 Layout Dimensions:27 DDI/(sin(Radians(GB))) 5.921/(SIN(RADIANS(50.9))) = 7.63328 DDO/(sin(Radians(GB))) 11.829/(SIN(RADIANS(50.9))) = 15.24929 (DDI/Ri)*360 (5.921/7.633)*360 = 279.254

30 Comments:31 - This program calculates thickness corrected cones where

32 the inside of the large end of the cone touches the inside

33 of the large pipe and where the outside of the small end of the

34 cone touches the outside of the small pipe.

35 - Ri, Ro and all lines share the same origin.

36 - The prebend tabs shown here are used for some pyramid

37 rollers if required.

38 - If a brake press is used to bend the cone, then all bend lines

39 should pass through the origin.

40 - This program assumes that the large pipe has the same thickness as the cone. The thickness of the small pipe is ignored.

41 - Adjust the length of the cone if required to get the desired cone angle GB.

42 - This program is intended for educational use only. Pressure Vessel Engineering Ltd. Is not responsible for its use.