CALCULATION SHEET
CLIENT :
JOB NO :
SH.
1 of 8
JOB TITLE :
SUBJECT : ANALYSIS AND DESIGN OF SPREADER BEAM & PADEYE
BY :
CHKD :
REV :
DATE :
1
2
3
1.1 Codes and References :
[Ref1] ANSI : AISC 360-05 : Specification for Structural Steel Buildings (2005)
4
5
6
1.2 Design Data :
0.28
7
8
Weight of VESSEL PACKAGE to be lifted :
W = 441
kN
(45 tons)
9
10
Distance of Lifting Padeyes :
L = 3.42
m
11
12
Grade of Steel :
Fy = 240
N/mm2
13
14
Diameter of Spreader Bar :
D = 219.1
mm
(8"- pipe)
Thickness of Spreader Bar :
t = 15.09
mm
(sch-100)
Angle of Lifting with Horizontal :
q = 60
1.047
degrees
15
16
17
18
19
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21
2.1 Analysis :
22
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28
29
30
Property calculation :
Design thickness of Bar :
Design cross sectional area :
Moment of Inertia of Bar :
Elastic Section Modulus :
Plastic Section Modulus :
Radius of Gyration :
Self weight of Bar :
td = 13.20
A = 8540.74
I = 45444866
S = 414832.19
Z = 560517.39
r = 72.94
w = 0.759
mm
P = 220.5
kN
22.05
kN
mm2
mm4
mm3
mm3
mm
kN/m
31
32
Force Computation :
33
34
Load on each padeye :
35
36
Contingency (10%) :
37
38
Total Static Sling Load :
Pt = 244.61
kN
Static Load in inclined Sling :
282.45
kN
Static Compressive load in Bar :
141.22
kN
39
40
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42
43
44
Dynamic Load Factor :
DLF = 2
(Design Load 90 TON)
45
46
Design Compressive load in bar :
Pr = 282.45
kN
Design BM in Bar :
Mr = 2.44
kNm
47
48
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50
CALCULATION SHEET
CLIENT :
JOB NO :
SH.
2 of 8
JOB TITLE :
SUBJECT : ANALYSIS AND DESIGN OF SPREADER BEAM & PADEYE
BY :
CHKD :
REV :
DATE :
1
2
2.3 Design :
3
4
a) Compression :
5
6
Wc
1.67
7
8
Slenderness ratio :
KL / r = 46.88
9
10
Elastic Critical Buckling stress :
11
12
Fe = 897.98
N/mm2
>= 0.44 Fy
>= 105.6 N/mm2
13
14
Flexural Buckling stress :
Fcr = 214.60
N/mm2
Nominal Compressive Strength :
Pn = 1832.84
kN
Pn / Wc = 1097.51
kN
15
16
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18
Design Compressive Strength : Pc :
19
20
21
b) Flexure :
22
23
Wb
1.67
Value of D / t :
16.59
24
25
Compact Section
26
27
Nominal Flexural Strength :
28
29
i) Yielding :
Mn = 134.52
kNm
ii) Local Buckling :
Mn = NA
kNm
Mn = 134.52
kNm
30
31
32
33
Nominal Flexural Strength :
34
35
Design Flexural Strength : Mc :
Mn / Wb = 80.55
kNm
36
37
38
c) Check for Combined Force :
39
Pr / Pc = 0.26
40
41
Mr / Mc = 0.03
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Interaction : Pr / Pc + 8 / 9 Mr / Mc
0.28
< 1 Safe
CALCULATION SHEET
CLIENT :
JOB NO :
SH.
3 of 8
JOB TITLE :
SUBJECT : ANALYSIS AND DESIGN OF SPREADER BEAM & PADEYE
BY :
CHKD :
REV :
DATE :
1
2
PADEYE DESIGN
3
4
5
6
7
8
1.1 Force Parameters
a) Static Sling Force P (kN) :
b) Dynamic Amplification Factor (DAF) :
c) Angle of Inclination q :
220.50
2
60
1.2 Shackle Parameters :
a) Shackle :
b) Pin Diameter D (mm) :
c) Jaw Width A (mm) :
d) Inside Distance Ci (mm) :
17
####### (OK)
70
105
267
1.3 Sling Parameters :
a) Sling Diameter Dia (mm) :
b) Safe Working Load SWL (kN) :
50
441
9
10
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12
13
14
15
16
17
18
(2")
19
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23
24
25
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27
30
31
1.4 Padeye Configuration :
a) Padeye Yield Strength Fy (N/mm2) :
b) Stiffener Yield Strength F1y (N/mm2) :
c) Pin Hole Diameter PD (mm) :
d) Main Plate Thickness Tm (mm) :
e) Main Plate Radius Rm (mm) :
f) Cheek Plate Thickness Tc (mm) :
g) Cheek Plate Radius Rc (mm) :
j) Height of Padeye Hole from Beam H (mm) :
k) Electrode for Welding Fw (ksi) :
250
250
75
30
120
16
80
135
E 70XX
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33
2.0 Analysis and Design Checks :
34
35
36
37
38
2.1 Geometrical Checks :
a) Pin Clearance : PD - D (mm) :
b) Jaw Width Clearance : A - Tm - 2 Tc (mm) :
c) Sling Clearance : Ci - (Dia + Rm - PD/2) (mm) :
5
43
134.5
> = 1.5
>0
>0
39
40
2.2 Strengths :
41
42
43
44
a) Bearing at hole : P x DAF : [J7]
Design Bearing Strength :
1.8 x Fy x (D x (Tm+2 x Tc)) / 2
Pb = 441.00
Rn / W = 976.50
Safe
kN
kN
b) Shearing at hole : P x DAF : [J4.2]
Shear Yielding : 0.6 x Fy x 2 x Tm x (Rm PD/2) + 4 x Tc x (Rcc - PD/2) / 1.67 :
Ps = 441.00
Rn / W = 688.92
Safe
kN
kN
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46
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48
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50
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52
(OK)
(OK)
(OK)
CALCULATION SHEET
CLIENT :
JOB NO :
SH.
JOB TITLE :
SUBJECT : ANALYSIS AND DESIGN OF SPREADER BEAM & PADEYE
BY :
CHKD :
REV :
DATE :
1
2
3
4
c) Tension at hole : P x DAF : [J4.1]
Pt = 441.00
Tensile Yielding : Fy x (2 x Tm x Min(2 x Tm,0.8 x PD,(Rm - 845.51
PD/2)) + 4 x Tc x Min(2 x Tc,0.8 x PD,(Rcc - PD/2)))/1.67
Safe
kN
kN
d) Block Shear : P x DAF : [J4.3]
Block Shear Strength = 0.6 x Fy x Anv + 0.5 Fy x Ant :
kN
kN
5
6
7
8
9
441.00
928.25
Safe
10
11
12
13
14
2.3 Weld design between Cheek plate and Main Plate
a) Force carried by Cheek Plate Fc (kN) : P x DAF x Tc /(Tm 113.81
+ 2 x Tc) :
502.65
101.58
17
b) Length of weld available Lc (mm) = 2 x p x Rcc :
c) Strength of weld per mm size per mm Length Pw
(N/mm2) : 0.6 x (Fw x 6.91) / 2 x 0.7
18
d) Size of weld required Sw (mm) : Fc / (Pw x Lc) :
4
15
16
19
20
Provide Weld Size
10
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34
35
36
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54
Safe
mm
4 of 8
CALCULATION SHEET
CLIENT :
JOB NO :
SH.
5 of 8
JOB TITLE :
SUBJECT : ANALYSIS AND DESIGN OF SPREADER BEAM & PADEYE
BY :
CHKD :
REV :
DATE :
SPREADER BEAM DESIGN
1
2
3
A. Load Data :-
4
5
TOTAL SWL LOAD
w
=
45000 Kg
45 Ton
LOAD PER LUG
w
=
22500 Kg
220725 N
22.5 Ton
load test
If
=
2.00
Total Vertical Load
F
=
441450 N
Vertical Load per Lug
Fv
=
441450 N
Angle between sling and Beam
Ø
=
6
7
8
9
10
11
12
13
14
15
16
18
60 deg.
1.047
17
Load acting in sling direction
Fr
=
509743 N
Fhz (Fv/Tan Ø)
=
255173 N
19
20
Load action in Horizontal
21
22
B. Beam Material Specification :-
23
24
Material used for Beam
=
A 106 GR.B
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26
Yield Strength
YS
=
240 Mpa
Allowable Tensile Stress
St
=
144 Mpa
Allowable Bending Stress
Sb
=
158 Mpa
Allowable Shear Stress
Ss
=
96 Mpa
Sbr
=
216 Mpa
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31
32
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34
35
36
37
38
39
40
41
42
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44
45
46
47
48
49
50
Allowable Bearing Stress
90000
TONS
CALCULATION SHEET
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JOB NO :
SH.
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JOB TITLE :
SUBJECT : ANALYSIS AND DESIGN OF SPREADER BEAM & PADEYE
BY :
1
CHKD :
REV :
DATE :
C. Spreaer Beam Section Properties :-
2
3
Section Type
=
8"NB x SCH-100
4
5
Pipe OD
Do
=
219.1 mm
Pipe Thickness
tmin.
=
15.09 mm
6
7
8
9
4
Moment of Inertia
I
=
50590980 mm
Area
A
=
9671.45 mm
Section Modulus
Z
=
461807.21 mm
10
11
2
12
13
3
14
15
16
CHECK FOR CRUSHING (BUCKLING) LOAD :-
17
18
19
Design of Compression Members
(Part 4 of AISC/LRFD)
20
21
22
23
Where
Where
24
25
Euler's critical load (longitudinal compression load on column),
26
Modulus of elasticity of CS material, (200 Gpa)
=
Minimum area moment of inertia of the cross section of the pipe. =
27
200000
Mpa
50590980
mm⁴
3420
mm
Unsupported length of column,(span between both lifting point) =
column effective length factor (Assume both end Hinge)
=
28
29
1
30
31
32
33
34
35
36
37
38
39
40
41
42
43
Actual Crushing load
44
Ratio
45
46
47
48
49
NOTE:-
=
8537891 N
=
255173 N
=
0.03
<
HENCE SAFE
1
CALCULATION SHEET
CLIENT :
JOB NO :
SH.
7 of 8
JOB TITLE :
SUBJECT : ANALYSIS AND DESIGN OF SPREADER BEAM & PADEYE
BY :
1
CHKD :
REV :
DATE :
2.1 Pipe Compression Check
2
3
4
5
6
7
8
9
10
11
12
Where
13
14
L1
15
L2
16
Angle between sling and Beam
Ø
1.047
17
18
19
3420 mm
244.5 mm
60 deg.
=
=
=
Load on Upper Sling
Load on Lower Sling
Fus
Fls
=
=
509743 N
=
=
=
=
( Fus X Cos (Ø) )
=
=
Fusc + F lsc
=
Fcmp / Pipe Area
441450 N
20
21
Upper Sling Compressive Force in Pipe
Fusc
22
23
Lower Sling Compressive Force in Pipe
Flsc
24
254871 N
( Fls X Cos (90) )
0N
25
26
Total Compressive force
Fcmp
27
254871 N
28
29
σcmp
Compressive Stress
=
30
26.35 N/mm2
31
32
Allowable Compressive Stress
33
34
Raduis of gyration
35
36
37
r
=
r
=
72.33 mm
Where
Ka = 1
La = L1
38
39
(Ka * La )/r
47.29
130
<
40
41
42
43
44
45
46
Fa
=
120.90 Mpa
47
48
49
URcmp = σcmp / Fa 0.22
<1
HENCE SAFE
CALCULATION SHEET
CLIENT :
JOB NO :
SH.
8 of 8
JOB TITLE :
SUBJECT : ANALYSIS AND DESIGN OF SPREADER BEAM & PADEYE
BY :
1
CHKD :
REV :
DATE :
2.2 Pipe Bending Check
2
3
4
5
6
7
8
9
10
11
12
13
Unit Weight Of spreader Beam
wsb
=
Bending Moment
Mpb
=
g*(L2*Fusc - L2*Flsc)
+ (1.15+Wsb*L1/2)/8
Mpb
=
62316210
σpb
=
=
(Mpb *0.5*O.D) / Ip
134.94
Mpa
=
0.75
746
N/m
(75.9 kg/m)
14
15
16
17
18
N.mm
19
20
Bending Stress
21
22
23
URpb
= σpb /0.75*Ys
<1
24
HENCE SAFE
25
26
Combined Axial and Bending Check
27
28
Bending have been considered in one direction
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46
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49
50
51
52
53
54
URcomb
=
URcom + URpb
=
0.97
<1
HENCE SAFE