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Dalam dokumen PT PATRA BADAK ARUN SOLUSI (Halaman 47-64)

Design thickness, (at 80 °C) UG-27(c)(1)

20.68 mm

Maximum allowable working pressure, (at 80 °C) UG-27(c)(1)

105.34 bar

Maximum allowable pressure, (at 21.11 °C) UG-27(c)(1)

105.34 bar

External Pressure, (Corroded & at 80 °C) UG-28(c)

From table G:

From table HA-2 Metric:

Design thickness for external pressure Pa = 1.03 bar

2.78 mm

Maximum Allowable External Pressure, (Corroded & at 80 °C) UG-28(c)

From table G:

From table HA-2 Metric:

42.94 bar

t= PR + Corrosion = + 0 =

SE− 0.60 ⋅P

99.28 ⋅ 275 1,380 ⋅ 1.00 − 0.60 ⋅ 99.28

P= SEt − = − 0 =

R+ 0.60 ⋅t Ps

1,380 ⋅ 1.00 ⋅ 22 275 + 0.60 ⋅ 22

P= SEt = =

R+ 0.60 ⋅t

1,380 ⋅ 1.00 ⋅ 22 275 + 0.60 ⋅ 22

= = 2.3456

L Do

1,393.27 594

= = 213.3291

Do

t 594 2.78

A= 0.000178

B= 168.7342 kg/cm2(165.47 bar)

= = = 1.03 bar

Pa

4 ⋅B 3 ⋅ (Do/t)

4 ⋅ 165.47 3 ⋅ (594/2.78)

=t+ Corrosion = 2.78 + 0 = ta

= = 2.3456

L Do

1,393.27 594

= = 27.0000

Do

t 594

22

A= 0.003848

B= 886.7377 kg/cm2(869.5911 bar)

= = =

Pa

4 ⋅B 3 ⋅ (Do/t)

4 ⋅ 869.59 3 ⋅ (594/22)

External Pressure + Weight Check (Bergman, ASME paper 54-A-104)

Cylinder design thickness is satisfactory.

External Pressure + Weight Check at Bottom Seam (Bergman, ASME paper 54-A-104)

Cylinder design thickness is satisfactory.

= + = + 10000 ⋅ 15.1 = 3.5013 kg/cm

Pv

W 2 ⋅πRm

M πR2m

10 ⋅ 523.4

2 ⋅π⋅ 286 π⋅ 2862

α= Pv = 9.803 ⋅ = 0.0559

Pe Do

3.5013 1.03 ⋅ 594 n= 3

m= 1.23 = = 0.2236

( )DLo 2

1.23 (1,393.27594 )2

RatioPe= = = 1.0015

− 1 +m+mα n2

− 1 +m n2

− 1 + 0.2236 + 0.2236 ⋅ 0.0559 32

− 1 + 0.2236 32

RatioPePe ≤ MAEP (1.0015 ⋅ 1.03 = 1.04) ≤ 42.94

= + = + 10000 ⋅ = − 0.7686 kg/cm

Pv

W 2 ⋅πRm

M πR2m

10 ⋅ -138.1 2 ⋅π⋅ 286

0 π⋅ 2862

α= Pv = 9.803 ⋅ − = − 0.0123

Pe Do

0.7686 1.03 ⋅ 594 n= 3

m= 1.23 = = 0.2236

( )DLo 2

1.23 (1,393.27594 )2

RatioPe= = = 1

− 1 +m+mα n2

− 1 +m n2

− 1 + 0.2236 + 0.2236 ⋅ − 0.0123 32

− 1 + 0.2236 32

RatioPePe ≤ MAEP (1 ⋅ 1.03 = 1.03) ≤ 42.94

Thickness Required Due to Pressure + External Loads

Condition Pressure

P ( bar)

Allowable Stress Before UG-23

Stress Increase ( kg/cm2) Temperature ( °C)

Corrosion

C (mm) Location Load

Req'd Thk Due to Tension (mm)

Req'd Thk Due to Compression St Sc (mm)

Operating, Hot & Corroded 99.28 1,407.2 955.3 80 0

Top Weight 9.74 9.73

Bottom Weight 9.76 9.76

Operating, Hot & New 99.28 1,407.2 955.3 80 0

Top Weight 9.74 9.73

Bottom Weight 9.76 9.76

Hot Shut Down, Corroded 0 1,407.2 955.3 80 0

Top Weight 0.02 0.04

Bottom Weight 0.01 0.01

Hot Shut Down, New 0 1,407.2 955.3 80 0

Top Weight 0.02 0.04

Bottom Weight 0.01 0.01

Empty, Corroded 0 1,407.2 978 21.11 0

Top Weight 0.02 0.04

Bottom Weight 0.01 0.01

Empty, New 0 1,407.2 978 21.11 0

Top Weight 0.02 0.04

Bottom Weight 0.01 0.01

Vacuum -1.03 1,407.2 955.3 80 0

Top Weight 0.18 0.19

Bottom Weight 0.14 0.14

Hot Shut Down, Corroded, Weight &

Eccentric Moments Only 0 1,407.2 955.3 80 0 Top Weight 0.02 0.04

Bottom Weight 0.01 0.01

Allowable Compressive Stress, Hot and Corroded- ScHC, (table HA-2 Metric)

955.3 kg/cm2

Allowable Compressive Stress, Hot and New- ScHN

955.3 kg/cm2

Allowable Compressive Stress, Cold and New- ScCN, (table HA-2 Metric)

978 kg/cm2

Allowable Compressive Stress, Cold and Corroded- ScCC

978 kg/cm2

Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table HA-2 Metric)

955.3 kg/cm2

Operating, Hot & Corroded, Above Support Point

A=0.125 = = 0.009259

/t Ro

0.125 297/22 B= 955.3 kg/cm2 S= 1,407.2 = 1,407.2

1.00 kg/cm2

= min (B,S) = ScHC

H N = H C = Sc Sc

A=0.125 = = 0.009259

/t Ro

0.125 297/22 B= 978 kg/cm2 S= 1,407.2 = 1,407.2

1.00 kg/cm2

= min (B,S) = ScCN

C= C N= Sc Sc

A=0.125 = = 0.009259

/t Ro

0.125 297/22 B= 955.3 kg/cm2 S= 1,407.2 = 1,407.2

1.00 kg/cm2

= min (B,S) = ScVC

tp = (Pressure)

=

= 9.75 mm

tm = (bending)

=

= 0 mm

tw = (Weight)

=

= 0.02 mm

tt = (total required, tensile)

=

= 9.74 mm

tc = (total, net tensile)

=

= 9.73 mm

Maximum allowable working pressure, Longitudinal Stress

P =

=

= 228.28 bar

Operating, Hot & New, Above Support Point PR

2 ⋅StKsEc+ 0.40 ⋅ |P| 99.28 ⋅ 275

2 ⋅ 1,380 ⋅ 1.00 ⋅ 1.00 + 0.40 ⋅ |99.28|

⋅ MetricFactor M

πR2mStKsEc

15.1 ⋅ 98066.5

π⋅2862⋅ 1,380 ⋅ 1.00 ⋅ 1.00

⋅ MetricFactor W

2 ⋅πRmStKsEc

⋅ 98.0665 523.4

2 ⋅π⋅ 286 ⋅ 1,380 ⋅ 1.00 ⋅ 1.00

+ −

tp tm tw

9.75+0 − (0.02)

|tmc+twctpc|

|0 + (0.02) − (9.75)|

2 ⋅StKsEc⋅ (ttm+ )tw

R− 0.40 ⋅ (ttm+ )tw

2 ⋅ 1,380 ⋅ 1.00 ⋅ 1.00 ⋅ (22 − 0 + (0.02)) 275 − 0.40 ⋅ (22 − 0 + (0.02))

tp = (Pressure)

=

= 9.75 mm

tm = (bending)

=

= 0 mm

tw = (Weight)

=

= 0.02 mm

tt = (total required, tensile)

=

= 9.74 mm

tc = (total, net tensile)

=

= 9.73 mm

Maximum allowable working pressure, Longitudinal Stress

P =

=

= 228.28 bar

Hot Shut Down, Corroded, Above Support Point PR

2 ⋅StKsEc+ 0.40 ⋅ |P| 99.28 ⋅ 275

2 ⋅ 1,380 ⋅ 1.00 ⋅ 1.00 + 0.40 ⋅ |99.28|

⋅ MetricFactor M

πR2mStKsEc

15.1 ⋅ 98066.5

π⋅2862⋅ 1,380 ⋅ 1.00 ⋅ 1.00

⋅ MetricFactor W

2 ⋅πRmStKsEc

⋅ 98.0665 523.4

2 ⋅π⋅ 286 ⋅ 1,380 ⋅ 1.00 ⋅ 1.00

+ −

tp tm tw

9.75+0 − (0.02)

|tmc+twctpc|

|0 + (0.02) − (9.75)|

2 ⋅StKsEc⋅ (ttm+ )tw

R− 0.40 ⋅ (ttm+ )tw

2 ⋅ 1,380 ⋅ 1.00 ⋅ 1.00 ⋅ (22 − 0 + (0.02)) 275 − 0.40 ⋅ (22 − 0 + (0.02))

tp = 0 mm (Pressure)

tm = (bending)

=

= 0.01 mm

tw = (Weight)

=

= 0.03 mm

tt = (total, net compressive)

=

= 0.02 mm

tc = (total required, compressive)

=

= 0.04 mm

Hot Shut Down, New, Above Support Point

tp = 0 mm (Pressure)

tm = (bending)

=

= 0.01 mm

tw = (Weight)

=

= 0.03 mm

tt = (total, net compressive)

=

= 0.02 mm

tc = (total required, compressive)

=

= 0.04 mm

⋅ MetricFactor M

πR2mScKs

15.1 ⋅ 98066.5

π⋅2862⋅ 936.87 ⋅ 1.00

⋅ MetricFactor W

2 ⋅πRmScKs

523.4 ⋅ 98.0665

2 ⋅π⋅ 286 ⋅ 936.87 ⋅ 1.00

| +tp tm− |tw

|0 + 0.01 − (0.03)|

+ −

tmc twc tpc

0.01+(0.03) − (0)

⋅ MetricFactor M

πR2mScKs

15.1 ⋅ 98066.5

π⋅2862⋅ 936.87 ⋅ 1.00

⋅ MetricFactor W

2 ⋅πRmScKs

523.4 ⋅ 98.0665

2 ⋅π⋅ 286 ⋅ 936.87 ⋅ 1.00

| +tp tm− |tw

|0 + 0.01 − (0.03)|

+ −

tmc twc tpc

0.01+(0.03) − (0)

tp = 0 mm (Pressure)

tm = (bending)

=

= 0.01 mm

tw = (Weight)

=

= 0.03 mm

tt = (total, net compressive)

=

= 0.02 mm

tc = (total required, compressive)

=

= 0.04 mm

Empty, New, Above Support Point

tp = 0 mm (Pressure)

tm = (bending)

=

= 0.01 mm

tw = (Weight)

=

= 0.03 mm

tt = (total, net compressive)

=

= 0.02 mm

tc = (total required, compressive)

=

= 0.04 mm

Vacuum, Above Support Point

⋅ MetricFactor M

πR2mScKs

15.1 ⋅ 98066.5

π⋅2862⋅ 959.11 ⋅ 1.00

⋅ MetricFactor W

2 ⋅πRmScKs

523.4 ⋅ 98.0665

2 ⋅π⋅ 286 ⋅ 959.11 ⋅ 1.00

| +tp tm− |tw

|0 + 0.01 − (0.03)|

+ −

tmc twc tpc

0.01+(0.03) − (0)

⋅ MetricFactor M

πR2mScKs

15.1 ⋅ 98066.5

π⋅2862⋅ 959.11 ⋅ 1.00

⋅ MetricFactor W

2 ⋅πRmScKs

523.4 ⋅ 98.0665

2 ⋅π⋅ 286 ⋅ 959.11 ⋅ 1.00

| +tp tm− |tw

|0 + 0.01 − (0.03)|

+ −

tmc twc tpc

0.01+(0.03) − (0)

tp = (Pressure)

=

= -0.15

tm = (bending)

=

= 0.01 mm

tw = (Weight)

=

= 0.03 mm

tt = (total, net compressive)

=

= 0.18 mm

tc = (total required, compressive)

=

= 0.19 mm

Maximum Allowable External Pressure, Longitudinal Stress

P =

=

= 154.59 bar

Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Above Support Point PR

2 ⋅ScKs+ 0.40 ⋅ |P|

−1.03 ⋅ 275 2 ⋅ 936.87 ⋅ 1.00 + 0.40 ⋅ |1.03|

mm

⋅ MetricFactor M

πR2mScKs

15.1 ⋅ 98066.5

π⋅2862⋅ 936.87 ⋅ 1.00

⋅ MetricFactor W

2 ⋅πRmScKs

523.4 ⋅ 98.0665

2 ⋅π⋅ 286 ⋅ 936.87 ⋅ 1.00

| +tp tm− |tw

| − 0.15 + 0.01 − (0.03)|

+ −

tmc twc tpc

0.01+(0.03) − ( − 0.15)

2 ⋅ScKs⋅ (ttmctwc) R− 0.40 ⋅ (ttmctwc) 2 ⋅ 936.87 ⋅ 1.00 ⋅ (22 − 0.01 − 0.03)

275 − 0.40 ⋅ (22 − 0.01 − 0.03)

tp = 0 mm (Pressure)

tm = (bending)

=

= 0.01 mm

tw = (Weight)

=

= 0.03 mm

tt = (total, net compressive)

=

= 0.02 mm

tc = (total required, compressive)

=

= 0.04 mm

Operating, Hot & Corroded, Below Support Point

tp = (Pressure)

=

= 9.75 mm

tm = (bending)

=

= 0 mm

tw = (Weight)

=

= -0.01 mm

tt = (total required, tensile)

=

= 9.76 mm

tc = (total, net tensile)

=

= 9.76 mm

Maximum allowable working pressure, Longitudinal Stress

⋅ MetricFactor M

πR2mScKs

15.1 ⋅ 98066.5

π⋅2862⋅ 936.87 ⋅ 1.00

⋅ MetricFactor W

2 ⋅πRmScKs

523.4 ⋅ 98.0665

2 ⋅π⋅ 286 ⋅ 936.87 ⋅ 1.00

| +tp tm− |tw

|0 + 0.01 − (0.03)|

+ −

tmc twc tpc

0.01+(0.03) − (0)

PR 2 ⋅StKsEc+ 0.40 ⋅ |P|

99.28 ⋅ 275

2 ⋅ 1,380 ⋅ 1.00 ⋅ 1.00 + 0.40 ⋅ |99.28|

⋅ MetricFactor M

πR2mStKsEc

⋅ 98066.5 0

π⋅2862⋅ 1,380 ⋅ 1.00 ⋅ 1.00

⋅ MetricFactor W

2 ⋅πRmStKsEc

⋅ 98.0665 -138.1

2 ⋅π⋅ 286 ⋅ 1,380 ⋅ 1.00 ⋅ 1.00

+ −

tp tm tw

9.75+0 − ( − 0.01)

|tmc+twctpc|

|0 + ( − 0.01) − (9.75)|

P =

=

= 228.04 bar

Operating, Hot & New, Below Support Point

tp = (Pressure)

=

= 9.75 mm

tm = (bending)

=

= 0 mm

tw = (Weight)

=

= -0.01 mm

tt = (total required, tensile)

=

= 9.76 mm

tc = (total, net tensile)

=

= 9.76 mm

Maximum allowable working pressure, Longitudinal Stress

P =

=

= 228.04 bar

2 ⋅StKsEc⋅ (ttm+ )tw

R− 0.40 ⋅ (ttm+ )tw

2 ⋅ 1,380 ⋅ 1.00 ⋅ 1.00 ⋅ (22 − 0 + ( − 0.01)) 275 − 0.40 ⋅ (22 − 0 + ( − 0.01))

PR 2 ⋅StKsEc+ 0.40 ⋅ |P|

99.28 ⋅ 275

2 ⋅ 1,380 ⋅ 1.00 ⋅ 1.00 + 0.40 ⋅ |99.28|

⋅ MetricFactor M

πR2mStKsEc

⋅ 98066.5 0

π⋅2862⋅ 1,380 ⋅ 1.00 ⋅ 1.00

⋅ MetricFactor W

2 ⋅πRmStKsEc

⋅ 98.0665 -138.1

2 ⋅π⋅ 286 ⋅ 1,380 ⋅ 1.00 ⋅ 1.00

+ −

tp tm tw

9.75+0 − ( − 0.01)

|tmc+twctpc|

|0 + ( − 0.01) − (9.75)|

2 ⋅StKsEc⋅ (ttm+ )tw

R− 0.40 ⋅ (ttm+ )tw

2 ⋅ 1,380 ⋅ 1.00 ⋅ 1.00 ⋅ (22 − 0 + ( − 0.01)) 275 − 0.40 ⋅ (22 − 0 + ( − 0.01))

tp = 0 mm (Pressure)

tm = (bending)

=

= 0 mm

tw = (Weight)

=

= -0.01 mm

tt = (total required, tensile)

=

= 0.01 mm

tc = (total, net tensile)

=

= 0.01 mm

Hot Shut Down, New, Below Support Point

tp = 0 mm (Pressure)

tm = (bending)

=

= 0 mm

tw = (Weight)

=

= -0.01 mm

tt = (total required, tensile)

=

= 0.01 mm

tc = (total, net tensile)

=

= 0.01 mm

Empty, Corroded, Below Support Point

⋅ MetricFactor M

πR2mStKsEc

⋅ 98066.5 0

π⋅2862⋅ 1,380 ⋅ 1.00 ⋅ 1.00

⋅ MetricFactor W

2 ⋅πRmStKsEc

⋅ 98.0665 -138.1

2 ⋅π⋅ 286 ⋅ 1,380 ⋅ 1.00 ⋅ 1.00

+ −

tp tm tw

0 + 0 − ( − 0.01)

|tmc+twctpc|

|0 + ( − 0.01) − (0)|

⋅ MetricFactor M

πR2mStKsEc

⋅ 98066.5 0

π⋅2862⋅ 1,380 ⋅ 1.00 ⋅ 1.00

⋅ MetricFactor W

2 ⋅πRmStKsEc

⋅ 98.0665 -138.1

2 ⋅π⋅ 286 ⋅ 1,380 ⋅ 1.00 ⋅ 1.00

+ −

tp tm tw

0 + 0 − ( − 0.01)

|tmc+twctpc|

|0 + ( − 0.01) − (0)|

tp = 0 mm (Pressure)

tm = (bending)

=

= 0 mm

tw = (Weight)

=

= -0.01 mm

tt = (total required, tensile)

=

= 0.01 mm

tc = (total, net tensile)

=

= 0.01 mm

Empty, New, Below Support Point

tp = 0 mm (Pressure)

tm = (bending)

=

= 0 mm

tw = (Weight)

=

= -0.01 mm

tt = (total required, tensile)

=

= 0.01 mm

tc = (total, net tensile)

=

⋅ MetricFactor M

πR2mStKsEc

⋅ 98066.5 0

π⋅2862⋅ 1,380 ⋅ 1.00 ⋅ 1.00

⋅ MetricFactor W

2 ⋅πRmStKsEc

⋅ 98.0665 -138.1

2 ⋅π⋅ 286 ⋅ 1,380 ⋅ 1.00 ⋅ 1.00

+ −

tp tm tw

0 + 0 − ( − 0.01)

|tmc+twctpc|

|0 + ( − 0.01) − (0)|

⋅ MetricFactor M

πR2mStKsEc

⋅ 98066.5 0

π⋅2862⋅ 1,380 ⋅ 1.00 ⋅ 1.00

⋅ MetricFactor W

2 ⋅πRmStKsEc

⋅ 98.0665 -138.1

2 ⋅π⋅ 286 ⋅ 1,380 ⋅ 1.00 ⋅ 1.00

+ −

tp tm tw

0 + 0 − ( − 0.01)

|tmc+twctpc|

|0 + ( − 0.01) − (0)|

tp = (Pressure)

=

= -0.15

tm = (bending)

=

= 0 mm

tw = (Weight)

=

= -0.01 mm

tt = (total, net compressive)

=

= 0.14 mm

tc = (total required, compressive)

=

= 0.14 mm

Maximum Allowable External Pressure, Longitudinal Stress

P =

=

= 154.91 bar

Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Below Support Point PR

2 ⋅ScKs+ 0.40 ⋅ |P|

−1.03 ⋅ 275 2 ⋅ 936.87 ⋅ 1.00 + 0.40 ⋅ |1.03|

mm

⋅ MetricFactor M

πR2mScKs

⋅ 98066.5 0

π⋅2862⋅ 936.87 ⋅ 1.00

⋅ MetricFactor W

2 ⋅πRmScKs

-138.1 ⋅ 98.0665

2 ⋅π⋅ 286 ⋅ 936.87 ⋅ 1.00

| +tp tm− |tw

| − 0.15 + 0 − ( − 0.01)|

+ −

tmc twc tpc

0 + ( − 0.01) − ( − 0.15)

2 ⋅ScKs⋅ (ttmctwc) R− 0.40 ⋅ (ttmctwc) 2 ⋅ 936.87 ⋅ 1.00 ⋅ (22 − 0 − − 0.01)

275 − 0.40 ⋅ (22 − 0 − − 0.01)

tp = 0 mm (Pressure)

tm = (bending)

=

= 0 mm

tw = (Weight)

=

= -0.01 mm

tt = (total required, tensile)

=

= 0.01 mm

tc = (total, net tensile)

=

= 0.01 mm

ASME Section VIII Division 1 UG-80(a) Out-of-Roundness

ASME Section VIII Division 1 UG-80(b) Out-of-Roundness

Measured deviation shall not exceed the maximum permissible deviation e

2.3456

27 0.2 25 0.25 29.0328

0.2248

⋅ MetricFactor M

πR2mStKsEc

⋅ 98066.5 0

π⋅2862⋅ 1,380 ⋅ 1.00 ⋅ 1.00

⋅ MetricFactor W

2 ⋅πRmStKsEc

⋅ 98.0665 -138.1

2 ⋅π⋅ 286 ⋅ 1,380 ⋅ 1.00 ⋅ 1.00

+ −

tp tm tw

0 + 0 − ( − 0.01)

|tmc+twctpc|

|0 + ( − 0.01) − (0)|

(DmaxDmin) shall not exceed 1% of D

When the cross section passes through an opening or within 1 I.D. of the opening, (DmaxDmin) shall not exceed 1% of D+ 2% of the inside diameter of the opening

= =

L Do

1,393.27 594

= =

Do

t 594

22

Lower curve factor = ( = 2.3456)= y1 L

Do

Upper curve factor = ( = 2.3456)= y2 L

Do

C F= yy1 (CC ) +C = ⋅ (0.25 − 0.2) + 0.2 =

F F F 27 − 25

ASME Section VIII Division 1 Figure UG-29.2

0.39 12.8567 0.3 38.9389

0.3412 202.67 mm 405.34 mm Chord length = 2 ⋅ arc length determined from Figure UG-29.2

Lower curve factor = ( = 2.3456)= y1 L

Do

Upper curve factor = ( = 2.3456)= y2 L

Do

C F= yy1 (CC ) +C = ⋅ (0.3 − 0.39) + 0.39 =

y2 y1 F2 F1 F1 27 − 12.8567 38.9389−12.8567 A rc=C FDo = 0.3412 ⋅ 594 =

Chord = 2 ⋅A rc= 2 ⋅ 202.67 =

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