Lifting Sets Calculation - API RP 2A

FRAME PADEYES CALCULATION This Spreadsheet performs design and checks as per the guidelines of API RP 2A-WSD, AWS D1.1 and AISC Code 0.

Input Data 0.0 Acceleration of Gravity 0.1 Total Liftting Weight 0.2 Number of Sling 0.3 Dynamic Load Factor 0.4 Angle b/w sling and Vertical 0.4

1.

Fy Fy(w)

2 9.81 m/s 7 MT 4 2 30 deg.

API RP 2A-WSD, section 2.4.2c

Steel Grade API 2H Gr.50

250 MPa

E70xx Electrode

393 MPa

Initial Calculation 1.1

1.2

2.

Yield Stress

g W n DLF θ

Static Sling Load

SLstatic

Design Sling Load

P

𝑊×𝑔 𝑛−1 ×𝑐𝑜𝑠𝜃

= SL static x DLF

or

39.6 kN 4.0 MT 79.3 kN

Allowable Stresses Assuming that the allowalble stress of welding metal is equal to the allowable stress of the base metal According to AISC code, the allowable stresses are as follow Fb = 0.9 x F y - Bearing Stress 225.0 MPa Fs = 0.4 x F y - Shearing Stress 100.0 MPa Ft = 0.6 x F y - Tension Stress 150.0 MPa F = 0.85 x F - Von Mises Stress 212.5 MPa von y

Lifting Sets Sizing 2.1 Shackle - Shackle Type

2.2

=

) CROSBY® G-2130 Bolt-Type Anchor Shackle

(based on API RP2A - WSD section 2.4.2.f and SL static

(≥ SLstatic)

- Rated Safety Working Load

SWL

- Pin Diameter

Dp

28.7 mm

- Inside Width

W in

42.9 mm

- Inside Height

Hin

95.5 mm

Sling - Sling Type

(based on EN13141-1 Table 4 and SL static )

Sling Nominal Diameter

Steel Cored Rope Class 6x36, Grade 1770 Ds

8.5 MT

24 mm

3.

Padeye Design 3.1 Padeye Dimensions - Pinhole Diameter

Dh

31 mm

Rh

15.5 mm

- Main Plate Thickness

Tm

20 mm

- Main Plate Radius

Rm

55 mm

- Main Plate Length

Lm

300 mm

- Pinhole CL to Padeye Base

Hm

70 mm

- No. of Cheek Plate / Pinhole - Check Plate Diameter Check Plate Radius - Cheek Plate Thk.

nc Dc Rc Tc

2 110 mm 55 mm 0 mm

Pinhole Radius

3.2

Padeye Dimension and Clearance Checking

- Clearance C1 b/w shackle pin and padeye pinhole shall not exceed 6% of shackle pin dia. or less than 3mm, whichever is larger

𝐷ℎ − 𝐷𝑝 ≤ 6% × 𝐷𝑝 𝑜𝑟 3𝑚𝑚

2.3

≤

3

PASS

55

≥

46.5

PASS

- Main Plate Radius shall not be less than 1.5 times of Pinhole Diameter

𝑅𝑚 ≥ 1.5 × 𝐷ℎ

- Clearance C2 b/w Padeye thk. and Shackle inside width shall be less than 25% of Shackle inside width or less than 12mm, whichever is larger

𝑊𝑖𝑛 − 𝑇𝑚 + 𝑛𝑐 × 𝑇𝑐 ≤ 25% 𝑊𝑖𝑛 or 12mm

≤ 22.9 12 - Vertical Clearance C3 b/w sling and top edge of padeye shall not be 0.5 x slind Diameter

𝐻𝑖𝑛 − 𝐷𝑠 − (𝑅𝑚 −𝑅𝑝 ) ≥ 0.5𝐷𝑠 4.

32

≥

FALSE

12

PASS

Padeye Allowable Stresses Checking 4.1 Bearing Stress

- Min. Bearing Area Required

Ab(min)

- Available Bearing Area

Ab

= 𝑃/𝐹𝑏 = 𝐷𝑝 × (𝑇𝑚 + 𝑛𝑐 × 𝑇𝑐 )

2 352 mm 2 574 mm

- Unity Check 4.2

- Min. Shear Area Required

As(min)

- Total Shear Area

As

0.61

PASS

2 793 mm

𝑚

2 1580 mm

+𝐴𝑠(𝑐) ]

2 790 mm

As(m)

= 𝑇𝑚 (𝑅𝑚 − 𝑅ℎ )

Cheek Plate Shear Area

As(c )

= 𝑇𝑐 × (𝑅𝑐 − 𝑅ℎ ) × 𝑛𝑐

2 0 mm

UCs

= 𝐴𝑠(𝑚𝑖𝑛) /𝐴𝑠

- Min. Tensile Area Required

At(min)

- Total Tensile Area

At

= 𝑃/𝐹𝑡 = 𝐴𝑡 𝑚 +𝐴𝑡(𝑐)

2 1580 mm 2 1580 mm

0.50

PASS

Tensile Stress across the pinhole

2 529 mm

Main Plate Tensile Area

At(m)

= 𝑇𝑚 × (𝐷𝑚 − 𝐷ℎ )

Cheek Plate Tensile Area

At(c )

= 𝑇𝑐 × (𝐷𝑐 − 𝐷ℎ ) × 𝑛𝑐

UCt

2 0 mm

= 𝐴𝑡(𝑚𝑖𝑛) /𝐴𝑡

0.33

= 𝑃 × 𝑇𝑐 /(𝑇𝑚 + 𝑛𝑐 × 𝑇𝑐 ) = 𝑃𝑐 /𝐹𝑠

0.00 kN

PASS

Cheek Plate Fillet Welding Stress - Shear on Weld due to Pull-out Pc

4.5

= 𝑃/𝐹𝑠 = 2 × [𝐴𝑠

Main Plate Shear Area

- Unity Check 4.4

= 𝐷𝑝 × (𝑇𝑚 + 𝑛𝑐 × 𝑇𝑐 ) = 𝐴𝑏(𝑚𝑖𝑛) /𝐴𝑏

Tear-out Stress

- Unity Check 4.3

UCb

- Min. Cheek Pl. Welding Area

Aw(c )min

- Provided fillet weld size

w

- Available Effective weld Area

Aw(c )

- Unity Check

UCs

2 0 mm

10 mm 2 2443 mm

= (𝑤 × 2/2) × 𝜋𝐷𝑐 = 𝐴𝑤(𝑐)𝑚𝑖𝑛 /𝐴𝑤(𝑐)

0.00

Stresses at Padeye Base Section 4.5.1 Section Properties - Section Area

𝐴 = 𝑇𝑚 × 𝐿𝑚

2 6000 mm

- Dist from pinhole CL to section N.A

𝑥 = 𝐻𝑚

2 - Section Modulus 𝑆𝑧 = (𝑇𝑚 × 𝐿𝑚 )/6 𝑆𝑦 = (𝐿𝑚 × 𝑇𝑚 2 )/6

70 mm 3 300000 mm 3 20000 mm

4.5.2 Acting Forces and Moments

- In-plane Bending Moment

𝑀𝑧 = 𝑃. 𝑠𝑖𝑛𝛼. 𝑥

2775265 Nmm

- Out-plane Bending Moment

𝑀𝑦 = (5%𝑃). 𝑥

277527 Nmm

- Tensile Force

𝑃𝑥 = 𝑃. 𝑐𝑜𝑠𝛼

68670 N

- In-plane Shear Force

𝑃𝑦 = 𝑃. 𝑠𝑖𝑛𝛼

39647 N

Out-plane Shear Force Total Shear Force

𝑃𝑧 = 5%𝑃 2

3965 N 2 1/2

𝑃𝑦𝑧 = (𝑃𝑦 + 𝑃𝑧 )

39844 N

PASS

𝑦𝑧

(

𝑦

)

4.5.3 Acting Stresses

- Acting Tensile Stress Tensile Unity Check - Acting In-plane Bending Stress Bending(in-plane) Unity Check - Acting Out-plane Bending Stress Bending(out-plane) Unity Check

𝜎𝑡 = 𝑃𝑥 /𝐴

11.4 MPa

𝑈𝐶𝑡 = 𝜎𝑡 /𝐹𝑡 ≤ 1

0.08

𝜎𝑏𝑧 = 𝑀𝑧 /𝑆𝑧 𝑈𝐶𝑏𝑧 = 𝜎𝑏𝑧 /𝐹𝑏 ≤ 1

9.3 MPa 0.04

𝜎𝑏𝑦 = 𝑀𝑦 /𝑆𝑦

Allowable Shear Stress Checking - Von Mises Stress Allowable Bending Stress Checking

𝜏𝑦𝑧 = 𝑃𝑦𝑧 /A 𝑈𝐶 = 𝜏𝑦𝑧 /𝐹𝑠 ≤ 1 𝜎𝑣𝑜𝑛 = [ 𝜎𝑏𝑧 + 𝜎𝑏𝑦 + 𝜎𝑡 )2 + 3𝜏 2 𝑦𝑧 𝑈𝐶 = 𝜎𝑣𝑜𝑛 /𝐹𝑣𝑜𝑛 ≤ 1

PASS

13.9 MPa

𝑈𝐶𝑏𝑦 = 𝜎𝑏𝑦 /𝐹𝑏 ≤ 1

- Combined Bending & Tensile Check 𝑈𝐶𝑐 = 𝑈𝐶𝑡 + 𝑈𝐶𝑏𝑧 + 𝑈𝐶𝑏𝑦 ≤ 1 - Acting Shear Stress

PASS

0.06

PASS

0.18

PASS

6.6 0.07 1/2

PASS

36.4 0.17

PASS

Table 4 - BS EN 13414-1: Working Load Limit for Sling using Steel Cored Rope, Grade 1770 Nominal Rope Dia. (mm) 8 9 10 11 12 13 14 16 18 20 22 24 26 28 32 36 40 44 48 52 56 60

WLL (Tons) 0.75 0.95 1.15 1.4 1.7 2 2.25 3 3.7 4.6 5.65 6.7 7.8 9 11.8 15 18.5 22.5 26 31.5 36 42

Crosby G-2130 Shackle (Metric) Nominal Size (in.)

Working Load Limit (t)*

3/16 1/4 5/16 3/8 7/16 1/2 5/8 3/4 7/8 1 1-1/8 1-1/4 1-3/8 1-1/2 1-3/4 2 2-1/2 3 3-1/2 4

0.33 0.50 0.75 1.00 1.50 2.00 3.25 4.75 6.50 8.50 9.50 12.00 13.50 17.00 25.00 35.00 55.00 85.00 120.00 150.00

Stock No. G-2130

S-2130

1019464 1019466 1019468 1019470 1019471 1019472 1019490 1019515 1019533 1019551 1019579 1019597 1019613 1019631 1019659 1019677 1019695 1019711 1019739 1019757

1019481 1019506 1019524 1019542 1019560 1019588 1019604 1019622 1019640 1019668 1019686 1019702 -

Dimensions (mm) Weight Each (kg) 0.03 0.05 0.10 0.15 0.22 0.36 0.62 1.23 1.79 2.28 3.75 5.31 7.18 8.62 15.40 23.70 44.60 70.00 120.00 153.00

A Inside W

B Pin Dia.

9.65 11.9 13.5 16.8 19.1 20.6 26.9 31.8 36.6 42.9 46 51.5 57 60.5 73 82.5 105 127 133 140

6.35 7.85 9.65 11.2 12.7 16 19.1 22.4 25.4 28.7 31.8 35.1 38.1 41.4 51 57 70 82.5 95.5 108

C Inside Hi

D

22.4 28.7 31 36.6 42.9 47.8 60.5 71.5 84 95.5 108 119 133 146 178 197 267 330 372 368

4.85 6.35 7.85 9.65 11.2 12.7 16 19.1 22.4 25.4 28.7 31.8 35.1 38.1 44.5 51 66.5 76 92 104

As advertised in Crosby General Catalogue 2009 Page 67 , and previously in Crosby General Catalogue 2006 Page 63.

Crosby G-2130 Shackle (Imperial) Nominal Size (in.)

Working Load Limit (t)*

3/16 1/4 5/16 3/8 7/16 1/2 5/8 3/4 7/8 1 1-1/8 1-1/4

0.33 0.50 0.75 1.00 1.50 2.00 3.25 4.75 6.50 8.50 9.50 12.00

Stock No. G-2130 1019464 1019466 1019468 1019470 1019471 1019472 1019490 1019515 1019533 1019551 1019579 1019597

S-2130 1019481 1019506 1019524 1019542 1019560 1019588 1019604

Dimensions (mm) Weight Each (kg) 0.06 0.11 0.22 0.33 0.49 0.79 1.68 2.72 3.95 5.66 8.27 11.71

A Inside W 0.38 0.47 0.53 0.66 0.75 0.81 1.06 1.25 1.44 1.69 1.81 2.03

B Pin Dia. 0.25 0.31 0.38 0.44 0.5 0.64 0.77 0.89 1.02 1.15 1.25 1.4

C Inside Hi 0.88 1.13 1.22 1.44 1.69 1.88 2.38 2.81 3.31 3.75 4.25 4.69

D 0.19 0.25 0.31 0.38 0.44 0.5 0.63 0.75 0.88 1 1.13 1.29

1-3/8 1-1/2 1-3/4 2 2-1/2 3 3-1/2 4

13.50 17.00 25.00 35.00 55.00 85.00 120.00 150.00

1019613 1019631 1019659 1019677 1019695 1019711 1019739 1019757 -

1019622 1019640 1019668 1019686 1019702

15.83 19 33.91 52.25 98.25 154 265 338

2.25 2.38 2.88 3.25 4.13 5 5.25 5.5

1.53 1.66 2.04 2.3 2.8 3.3 3.76 4.26

5.25 5.75 7 7.75 10.5 13 14.63 14.5

1.42 1.53 1.84 2.08 2.71 3.12 3.62 4

Tolerance +/E

F 15.2 19.8 21.3 26.2 29.5 33.3 42.9 51 58 68.5 74 82.5 92 98.5 127 146 184 200 229 254

H 14.2 15.5 19.1 23.1 26.9 30.2 38.1 46 53 60.5 68.5 76 84 92 106 122 145 165 203 229

L 37.3 46.7 53 63 74 83.5 106 126 148 167 190 210 233 254 313 348 453 546 626 653

N 24.9 32.5 37.3 45.2 51.5 58.5 74.5 89 102 119 131 146 162 175 225 253 327 365 419 468

C 4.85 6.35 7.85 9.65 11.2 12.7 17.5 20.6 24.6 26.9 31.8 35.1 38.1 41.1 57 61 79.5 92 105 116

1.5 1.5 3.3 3.3 3.3 3.3 6.35 6.35 6.35 6.35 6.35 6.35 6.35 6.35 6.35 6.35 6.35 6.35 6.35 6.35

A

Dimension al Drawing

A

Dimension al Drawing

1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 3.3 3.3 3.3 3.3 6.35 6.35 6.35 6.35

al Catalogue 2006 Page 63.

Tolerance +/E

F 0.6 0.78 0.84 1.03 1.16 1.31 1.69 2 2.28 2.69 2.91 3.25

H 0.56 0.61 0.75 0.91 1.06 1.19 1.5 1.81 2.09 2.38 2.69 3

L 1.47 1.84 2.09 2.49 2.91 3.28 4.19 4.97 5.83 6.56 7.47 8.25

N 0.98 1.28 1.47 1.78 2.03 2.31 2.94 3.5 4.03 4.69 5.16 5.75

C 0.19 0.25 0.31 0.38 0.44 0.5 0.69 0.81 0.97 1.06 1.25 1.38

0.06 0.06 0.06 0.13 0.13 0.13 0.13 0.25 0.25 0.25 0.25 0.25

0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06

3.63 3.88 5 5.75 7.25 7.88 9 10

3.31 3.63 4.19 4.81 5.69 6.5 8 9

9.16 10 12.34 13.68 17.9 21.5 24.88 25.68

6.38 6.88 8.8 10.15 12.75 14.62 17.02 18

1.5 1.62 2.25 2.4 3.13 3.62 4.38 4.56

0.25 0.25 0.25 0.25 0.25 0.25 0.25 0.25

0.13 0.13 0.13 0.13 0.25 0.25 0.25 0.25