K.Doc. No. : 5712-1-1-CS-001 Doc. No. : PK-10-M2-CS-001
NPK GRANULAR II PT PUPUK KUJANG
Rev.
:A
Date
: 05-09-14
Page
:1/6
MECHANICAL CALCULATION FOR DAP BIN (2-V-001 A)
PROJECT
: NPK GRANULAR II PT PUPUK KUJANG
OWNER
: PT. PUPUK KUJANG
LOCATION
: CIKAMPEK
DOCUMENT NO.
: PK-10- M2- CS-001
JOB NO. : 5712
A
Issued for Approval Approval
05-09-14
DSW
FJR
MFT
REV.
DESCRIPTION
DATE
PREPARED
CHECKED
APPROVED
APPROVED BY OWNER
NPK GRANULAR II PT PUPUK KUJANG MECHANICAL CALCULATION FOR DAP BIN (2-V-001 A) REVISION HISTORICAL SHEET REV. NO.
DATE
A
05 September 2014
DESCRIPTION
Issued For Approval
K.Doc. No. : 5712-1-1-CS-001 Doc. No. : PK-10-M2-CS-001 Rev.
:A
Date
: 05-09-14
Page
:2/6
K.Doc. No. : 5712-1-1-CS-001
NPK GRANULAR II PT PUPUK KUJANG
Doc. No. : PK-10-M2-CS-001
MECHANICAL CALCULATION FOR DAP BIN (2-V-001 A)
PAGE REVISION Page
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NPK GRANULAR II PT PUPUK KUJANG MECHANICAL CALCULATION FOR DAP BIN (2-V-001 A)
K.Doc. No. : 5712-1-1-CS-001 Doc. No. : PK-10-M2-CS-001 Rev.
:A
Date
: 05-09-14
Page
:4/6
TABLE OF CONTENT REVISION HISTORICAL SHEET ......................................................................... 2 PAGE REVISION ................................................................................................ 3 TABLE OF CONTENT........................................................................................... 4 1.
PURPOSE ................................................................................................... 5
2.
DESIGN DATA ............................................................................................ 5
3.
REFERENCE ................................................................................................ 5
4.
CALCULATION ............................................................................................ 5
ATTACHMENT A (HOPPER CALCULATION SHEET) ........................................... 6
NPK GRANULAR II PT PUPUK KUJANG MECHANICAL CALCULATION FOR DAP BIN (2-V-001 A) 1.
K.Doc. No. : 5712-1-1-CS-001 Doc. No. : PK-10-M2-CS-001 Rev.
:A
Date
: 05-09-14
Page
:5/6
PURPOSE The purpose this calculation is to check volume capacity of bin/hopper as per requirement and to make sure material that used in this hopper is satisfy.
2.
DESIGN DATA This design data as per data sheet No. NPK 2/PKG-PKC-NPK 2/2013/JM-67-45
3.
4.
a.
Stored Product
: DAP
b.
Bulk Density
: 960 – 1040
kg/m3
c. Nominal Capacity
: 30
ton
d.
Design Temperature
: AMB
e.
Design Pressure
: ATM
f.
Corrosion Allowance
:3
g.
Material Plate
: A 283 Gr. B or Equivalent
h.
Thickness Plate
:8
mm
mm
REFERENCE 1.
Data sheet No. NPK 2/PKG-PKC-NPK 2/2013/JM-67-45
2.
API 650 Tenth Edition, Welded Steel Tank for Oil Storage
3.
Pressure Vessel Handbook ,Twelfth Edition, Eugene F Megyesy
4.
Roark’s Formulas for Stress and Strain, Warren C. Young
CALCULATION Please see attachement A. Bin & Hopper Calculation Sheet
NPK GRANULAR II PT PUPUK KUJANG MECHANICAL CALCULATION FOR DAP BIN (2-V-001 A)
ATTACHMENT A (BIN & HOPPER CALCULATION SHEET)
K.Doc. No. : 5712-1-1-CS-001 Doc. No. : PK-10-M2-CS-001 Rev.
:A
Date
: 05-09-14
Page
:6/6
EQUIPMENT : DAP BIN
ENGINEERING & CONSTRUCTION
BIN & HOPPER CALCULATION SHEET
ITEM NO
: 2-V-001 A
JOB NO
: 5712
P T K R A K A T AU E N G I N E E R I NG
I.
DESIGN DATA
Dimension Height of Bin Portion Vertical Height of Hopper Portion Top Opening Side 1 Top Opening Side 2 Bottom Opening Side 1 Bottom Opening Side 2 Main Plate Thickness Corrosion Allowance
: : : : : : : :
1000 2980 5470 2860 400 400 8 3
mm mm mm mm mm mm mm mm
5470 2860
0 0 0 1
0 8 9 2
0 0 4
400 Material Shell Stiffener Stored Product Bulk Density
II.
: A 283 Gr B or Eq. : A 36 or Eq. : DAP : 1040 Kg/m3
3
( 960 -1040 kg/m )
VOLUME & CAPACITY CALCULATION 3
Volume of Bin Portion
:
16 m
Volume of Hopper Portion
:
17 m
Total Volume of Hopper
:
3 33 m
Capacity of Hopper
:
34.320 Kg
1 of 8
3
=
34,3 Ton
EQUIPMENT : DAP BIN
ENGINEERING & CONSTRUCTION
BIN & HOPPER CALCULATION SHEET
ITEM NO
: 2-V-001 A
JOB NO
: 5712
P T K R A K A T AU E N G I N E E R I NG
III. MECHANICAL CALCULATION
3.1
Shell Side
P b
a P A q a b
= = = = =
Load of Hopper Cross Section Area Load per area Horizontal length without reinforced Vertical length without reinforced
=
Yield stress of material
16.640 54.700 0,30 90,00 50,00
kg cm2 2 kg/cm cm cm
36.000 00 si 2
E
=
Ratio a/b a = b
2.531 Kg/cm 3.0*E+7 psi 206.842.719 kPa
Elastic Modulus of Material
1,8
=
0,1017
=
0,5888
3.1.1. Thickness Required
max 2
t t
= =
qb 2 t 2
t
2
2
qb max
0,18 0,42 cm
:
4,2 mm
Shell Thickness Required (t + CA)
:
7,2 mm
Adopted Shell Thickness is
:
8 mm
Therefore, adopted thickness is satisfactory 2 of 8
EQUIPMENT : DAP BIN
BIN & HOPPER CALCULATION SHEET
ENGINEERING & CONSTRUCTION
ITEM NO
: 2-V-001 A
JOB NO
: 5712
P T K R A K A T AU E N G I N E E R I NG
3.1.2. Check for maximum deflection (Ymax)
y max
qb
4
3
Et
q
=
Load per area
:
b
=
Width without stiffener
:
ta Ymax
= Adopted thickness = α*q*b4/(E*ta3) 1,83 mm = < 1/2 ta 1,83mm
:
Ymax
<
0,30 30,42 50 500 8
2
kg/cm 2 kg/mm cm mm mm
4mm
Therefore, adopted thickness is satisfactory
3.1.3. Check for Stiffening Frame Pd
=
Load per area
a b R1
= = =
R2
=
Sa
= Allowable Stress
2
kg/cm Kpa mm mm kN/m
Horizontal length without reinforced Vertical length without reinforced 0.03*Pd*a
: : : : :
0,30 29,83 900 500 0,8055
0.32*Pd*a
:
8,5917 kN/m
: :
16.600 psi 114.453 kPa
a. Minimum Required Moment of Inertia for horizontal top edge stiffening (I1)
I 1
R 1 a
R1
4
192 E t a R`2
a Moment inertia required: 4 I1 = R1*a /(192*E*ta)
:
1663,37 mm 0,1663 cm
Momen Inertia of used stiffener (WF Beam 150 x 75): Ix = 666 cm Iy 49,5 cm =
3 of 8
4
EQUIPMENT : DAP BIN
BIN & HOPPER CALCULATION SHEET
ENGINEERING & CONSTRUCTION
ITEM NO
: 2-V-001 A
JOB NO
: 5712
P T K R A K A T AU E N G I N E E R I NG
Position Stiffener frame at hopper X Y
Shell Stiffener
I1
Iy
=====>
0,1663
<
49,5
Therefore, Stiffener is satisfactory b. Minimum Required Moment of Inertia for horizontal intermediate stiffening (I2)
I 2
R 2 a
4
192 E t a
Moment inertia required: 4 I2 = R2*a /(192*E*ta)
17742,62 mm
:
1,7743 cm
4
Momen Inertia of used stiffener (WF Beam 150 x 75): Ix 666 cm = Iy = 49,5 cm I2
<
Iy
=====>
1,7743
<
49,5
Therefore, Stiffener is satisfactory c. Minimum Required Section modulus for vertical stiffening
Vertical Stiffener
PD
b
Hy
b
Maximum bending moment at Hy = 0.5773*b
=
Maximum bending moment: 2 Mmax = 0.0642*Pd*a*Hy
=
4 of 8
288,65 mm 0,14 kNm
EQUIPMENT : DAP BIN
BIN & HOPPER CALCULATION SHEET
ENGINEERING & CONSTRUCTION
ITEM NO
: 2-V-001 A
JOB NO
: 5712
P T K R A K A T AU E N G I N E E R I NG
Required section modulus: Zr = Mmax/Sa
=
1,25E-06 mm 1,25 cm
3
Section modulus of used stiffener (WF Beam 150 x 75): Zx
=
Zy
= Zr
88,8 cm 13,2 cm <
Z
1,2529
<
13,2
Therefore, Stiffener is satisfactory
3.2
Cone Side
b
a
q P
A q a b y
E
= Angle of Cone = Load of Hopper = Cross Section Area = Load per area = Horizontal length without reinforced = Vertical length without reinforced = =
Ratio a/b a = b
50 22.060 87.463 0,25 90,00 50,00
Deg kg 2 cm kg/cm2 cm cm
36.000,00 psi
Yield stress of material
2 2.531 Kg/cm 3.0*E+7 psi 206.842.719 kPa
Elastic Modulus of Material
1,8
5 of 8
EQUIPMENT : DAP BIN
ENGINEERING & CONSTRUCTION
BIN & HOPPER CALCULATION SHEET
ITEM NO
: 2-V-001 A
JOB NO
: 5712
P T K R A K A T AU E N G I N E E R I NG
= =
0,1017 0,5688
3.2.1. Thickness Required
max 2
qb 2 2
t
= =
t t
t
2
2
qb max
0,14 0,38 cm
:
3,8 mm
Shell Thickness Required (t + CA)
:
6,8 mm
Adopted Shell Thickness is
:
8 mm
Therefore, adopted thickness is satisfactory
3.2.2. Check for maximum deflection (Ymax)
y max
qb
4
3
Et
q
=
Load per area
:
b
=
Width without stiffener
:
ta
= Adopted thickness
Ymax
= =
α*q*b4/(E*ta3) 1,51 mm
Ymax
<
1/2 ta
:
1,51mm
<
4mm
Therefore, adopted thickness is satisfactory
6 of 8
0,25 25,22 50 500 8
2
kg/cm 2 kg/mm cm mm mm
EQUIPMENT : DAP BIN
BIN & HOPPER CALCULATION SHEET
ENGINEERING & CONSTRUCTION
ITEM NO
: 2-V-001 A
JOB NO
: 5712
P T K R A K A T AU E N G I N E E R I NG
3.2.3. Check for Stiffening Frame Pd
=
Load per area
a b R1
= = =
R2
=
Sa
= Allowable Stress
kg/cm2 Kpa mm mm kN/m
Horizontal length without reinforced Vertical length without reinforced 0.03*Pd*a
: : : : :
0,25 24,73 900 500 0,6678
0.32*Pd*a
:
7,1237 kN/m
: :
16.600 psi 114.453 kPa
a. Minimum Required Moment of Inertia for horizontal top edge stiffening (I1)
I 1
R 1 a
R1
4
192 E t a R a
Moment inertia required: 4 I1 = R1*a /(192*E*ta)
:
1379,16 mm 0,1379 cm
4
Momen Inertia of used stiffener (WF Beam 150 x 75): Ix = 666 cm Iy = 49,5 cm
Shell
Stiffener
I1
<
Iy
====>
0,1379
Therefore, Stiffener is satisfactory
7 of 8
<
49,5
EQUIPMENT : DAP BIN
BIN & HOPPER CALCULATION SHEET
ENGINEERING & CONSTRUCTION
ITEM NO
: 2-V-001 A
JOB NO
: 5712
P T K R A K A T AU E N G I N E E R I NG
b. Minimum Required Moment of Inertia for horizontal intermediate stiffening (I2)
I 2
R 2 a
4
192 E t a
Moment inertia required: 4 I2 = R2*a /(192*E*ta)
14711,00 mm
:
1,4711 cm
4
Momen Inertia of used stiffener (WF Beam 150 x 75): Ix = 666 cm Iy = 49,5 cm I2
<
I
====>
1,4711
<
49,5
Therefore, Stiffener is satisfactory
c. Minimum Required Section modulus for vertical stiffening Maximum bending moment at Hy = 0.5773*b
=
Maximum bending moment: 2 Mmax = 0.0641*Pd*a*Hy
=
Required section modulus: Zr = Mmax/Sa
=
288,65 mm 0,12 kNm 1,04E-06 mm 1,04 cm
3
Section modulus of used stiffener (WF Beam 150 x 75): Zx
=
Zy
=
Zr 1,0388
88,8 cm 13,2 cm <
Zy 13,2
Shell Vertical Stiffener
Therefore, Stiffener is satisfactory
8 of 8
