ASME 8 Div 1 Appendix 1 Section 1.4 f Dished Heads

With ts/L < 0.002

1 of 2

E 1:= Joint Factor

___________________________________________________________________

M

3L

r+

4:= M 1.625=

tminP L⋅ M⋅

2 S⋅ E⋅ 0.2 P⋅−:= tmin 2.885= mm

if tmin t< "Acceptable Calculation", "Head Too Thin",( ) "Acceptable Calculation"=

t

L0.001=

Additional rules for thin heads t/L < 0.002

C1 ifr

D0.08> 0.692

r

D⋅ 0.605+, 9.31

r

D⋅ 0.086−,

:= C1 0.535=

Se C1 ET⋅t

r

⋅:= Se 1.678 10

3×=

C2 ifr

D0.08> 1.46 2.6

r

D⋅−, 1.25,

:= C2 1.25=

ASME 8 Division 1:- Torispherical Ends To UG32 and Appendix 1.4

P 0.2:= Design Pressure Mpa (Note:- 1 Mpa = 1 N/mm^2)

D 3000:= Inside Diameter mm

r 200:= Knuckle Radius mm

L 2450:= Spherical Radius mm

t 3.4:= Min Required Thickness After forming mm

S 138:= Design Stress Mpa

Sy 165.2:= Yield Strength at max design temp Mpa

ET 184590:= Youngs Modulus At Temperature Mpa

ASME 8 Div 1 Appendix 1 Section 1.4 f Dished Heads

With ts/L < 0.002

2 of 2

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if P Pmax< "Acceptable Calculation", "Head Too Thin",( ) "Head Too Thin"=

Mpa Pmax 0.1114=PmaxPck

1.5:=

Maximum Design Pressure P

Pck 0.167=Pck ifPe

Py8.29> 2.0 Py⋅, Pck,

:=

Pck 0.197=Pck ifPe

Py1≤ 0.6 Pe⋅, 0.408 Py⋅ 0.192 Pe⋅+,

:=

Py 0.084=PySy t⋅

C2 Re⋅ 0.5Re

r⋅

1−

⋅:=

Pe 0.849=PeSe t⋅

C2 Re⋅ 0.5Re

r⋅

1−

⋅:=

Re 1.68 103×=Re c r+:=

c 1.48 103×=c if ψ β<

a

cos β ψ−( )( ), a,

:=

ψ 0.456=ψL t⋅( )r

:=

β 0.955=β acosa

b

:=

b 2.25 103×=b L r−:=

a 1.3 103×=a 0.5D r−:=