Selected sections from McDermott In-house Design Guide for Lift Systems – Y.S. Choo – Apr04 Design Guidance for Lifting Systems – Extracted from McDermott In-house Guide This file summarises relevant information for the rigging arrangement, sling load calculation, shackle selection and proportioning of simple padeye. More details can be found in other specifications and recommendations, such as API RP2A, Offshore 93 papers. The figure below shows the overall lifting arrangement for a deck module to be installed onto the jacket structure. As in many project examples, it should be remembered that the engineer needs to ensure that there is no weak link in the lift system. The following sections summarise the associated considerations. Symbols DAF DHL MBL SKL SWL Dynamic Amplication Factor Dynamic Hook Load Minimum Breaking Load Skew Load Factor Safe Working Load 1 Selected sections from McDermott In-house Design Guide for Lift Systems – Y.S. Choo – Apr04 1. Loads 1.1 General The lifting system shall be designed for actual load to be lifted modified by appropriate load factors. The various components of the system shall be checked against the safe working load and/or allowable stresses for the particular materials used. 1.2 Weight Contigency Factor Weights of items to be lifted should be calculated using a recognized weight control procedure. For an un-weighed structure, a weight contingency factor (CF) of 1.1 shall be applied to the calculated weight (W). Gross Weight = calculated weight x contingency factor = W x CF The weight should be considered to act at the most unfavorable centre of gravity position. Where it is desired to reduce the contingency factor by using the results of weighing the structure, the weighing procedure and results shall be submitted for review. A weighing factor of 1.03 shall be applied to the weighed weight. Gross Weight = Weighed weight x weighing factor 1.3 Dynamic Amplification Factor For lifts by a single vessel, the following dynamic amplification factors (DAF) shall be applied. Gross Weight (tonne) Offshore <100 1.30 100 - 1000 1.20 1000 - 2500 1.15 >2500 1.10 * Applicable also for lifts from deck of derrick barge Onshore* 1.15 1.10 1.05 1.05 Lift weight = gross weight x DAF = W x CF x DAF For offshore lifts by 2 or more vessels, lift weight as computed above shall be multiplied by a further DAF of 1.1. 1.4 Hook Load In general, when considering the loading on a padeye or the structure, the lift weight as defined above should be used. Loads in slings, and the total loading on the crane should be based on hook load, where: Hook Load = Lift weight + rigging weight = W x CF x DAF + RW 2 Selected sections from McDermott In-house Design Guide for Lift Systems – Y.S. Choo – Apr04 Rigging weight includes all items between the padeyes and the crane hook, including slings, shackles and spreaders as appropriate. 1.5 Padeye Resolved Lift Weight The padeye resolved lift weight (PRLW) is the vertical load at each padeye, taking into account lift weight and centre of gravity only. Where allowable centre of gravity position is specified as a cruciform or other geometric shape, then the most conservative centre of gravity position within the allowable area should be taken until the position can be determined with confidence. Padeye resolved lift weight (PRLW) = Resolved lift weight for CoG (λW) x CF x DAF = λW x CF x DAF 1.6 Skew Load Factor (SKL) Skew load is the extra loading in slings caused by effect of inaccurate sling lengths and other uncertainties with respect to force distribution in the slinging arrangement. For indeterminate 4-sling lifts using matched slings, a skew load factor (SKL) of 1.25 shall be applied to each diagonally opposite pair of lift points in turn. For determinate lifts, the SKL may be taken to be 1.0 for matched slings. The skew load factor of 1.25 is representative of a 3” variation between shortest and longest sling in accordance with API RP2A. If the fabrication and sling tolerances exceed these limits a detailed analysis taking into account these tolerances should be performed. Vertical padeye load = padeye resolved lift weight x SKL = λW x CF x DAF x SKL 1.7 Resolved Padeye Load The resolved padeye load is the vertical padeye load divided by the sine of the sling angle: Resolved padeye load= = (vertical padeye load) sin (sling angle) λW x CF x DAF x SKL sinθ where sling angle is angle between sling and horizontal plane prior to lifting and rotation of the structure. 3 Selected sections from McDermott In-house Design Guide for Lift Systems – Y.S. Choo – Apr04 1.8 Lateral Padeye Load Provided the lift point is correctly orientated with the sling direction, then a horizontal force equal to 5% of resolved padeye load shall be applied, acting through the centerline and along the axis of the pin-hole or trunnion. If the lift point is not correctly orientated with the sling direction, then the computed force acting along the axis of the pin-hole or trunnon plus 5% of the resolved padeye load shall be used. 1.9 Sling Force The sling force is the vertical padeye load plus the sling weight (per sling) divided by the sine of the sling angle. (vertical padeye load+sling weight) sin (sling angle) λW x CF x DAF x SKL + SLW = sinθ Sling force = 1.10 Skew Load factor (SKL) for Multi-Hook Lifts For multi-hook lifts, the total skew load factor should be the SKL calculated in accordance with Clause 1.6, which accounts for fabrication tolerances, multiplied by the yaw effort factor and the tilt effect factor. The yaw effect factor of 1.05 should be used to account for increased sling loading due to rotation of the object about a vertical axis. The tilt effect should account for the increased sling loading caused by rotation of the object about a horizontal axis and the effect of longitudinal deviation of the hooks from their theoretical positions. The tilt effect factor may be calculated for a tilt of 3 degrees when the cranes are on the same vessel, and for a tilt of 5 degree when the cranes are on separate vessels (longitudinal deviation of the hooks included). 1.11 2-Part (doubled) Sling Factor Where a 2-part sling (doubled sling) passes over, round or through a shackle, trunnion, padear or crane hook, other than at a termination, the total sling force shall be distributed into each part in the ratio of 55:45. The application of the 55/45 distribution will cause a moment which must be considered in the design of the lift point. This ratio is also applicable to slings attached to sister plates and clevis plates in lifting aids. Sling load = Sling force x 0.55 (for 2-part slings) 4 Selected sections from McDermott In-house Design Guide for Lift Systems – Y.S. Choo – Apr04 1.12 Bending Efficiency Factor Where any rope is bent round a shackle, trunnion, padear or crane hook, the break load shall be assumed to be the calculated rope breaking load multiplied by a bending efficiency factor. 0.5 Bending efficiency factor=1pin diameter rope diameter This is outlined in the following table. Pin diameter/Rope diameter Bending Efficiency Factor <0.8 Not advised 0.8 0.44 0.9 0.47 1.0 0.50 1.5 0.59 2.0 0.65 3.0 0.71 4.0 0.75 5.0 0.78 Sling breaking load = rope breaking load x bending efficiency factor It should be noted that termination and bending factors should not both be applied, the one which results in the lower value of breaking load will govern and should be used. 1.13 Grommets Grommets require special consideration to ensure that the rope breaking load and bending efficiency have been correctly taken into account. The core of a grommet should be discounted when computing breaking load. The breaking load of each part of a grommet is therefore usually taken as 6 times the unit rope breaking load, after spinning reduction. Grommet BL = 6 x rope breaking load Typically a grommet will be used with one end over the crane hook, and the other end connected to a padeye by a shackle. The bending efficiency factors at each end may differ, and the more severe value should be taken. The total breaking load of the grommet used in this manner is: 2 x 6 x (lower bending efficiency factor) x rope breaking load 1.14 Safety Factors The minimum safety factor to calculate breaking load in a sling or grommet, after § Resolution of load based on centre of gravity position and sling angle § Consideration of the factors shown in Sections 1.1 to 1.11 as appropriate, and § Consideration of the governing efficiency factor from Section 1.12 Shall be not less than 3.0 for new slings, and not less than 4.0 for older slings. 5 Selected sections from McDermott In-house Design Guide for Lift Systems – Y.S. Choo – Apr04 1.15 Sling Manufacturing Tolerances The manufacture of slings and grommets should be to a recognized code or standard, International Standard ISO 2408 and for cable laid slings Guidance Notes PM20. The length of the slings or grommets should normally be within tolerances of plus or minus 0.25% of the nominal length. During measurement a tension load of 2.5 – 5.0% of the minimum breaking load should be applied. A matching set of slings will satisfy the above criteria. 1.16 Consequence Factors The following consequence factors (CNF) shall be further applied to the structure, including the lift points and their attachments into the structure: Lift points including spreaders Attachments of lift points to structure Members directly supporting or framing into the lift points Other structural members Offshore 1.35 1.35 1.15 Onshore 1.15 1.15 1.10 1.00 1.00 The above factors shall be applied to the forces used for component design which are based on the calculated lift point loads after consideration of all the factors shown in Sections 1.1 through 4.11. Lift point design load=Resolved padeye load x consequnce factor λW x CF x DAF x SKL x CNF = sinθ Examples: For a 3000 tonne module lifted offshore CF = 1.1 DAF = 1.1 SKL =1.25 CNF= 1.35 λW Lift point design load = x 1.1 x 1.1 x 1.25 x 1.35 sinθ λW = x 2.04 sinθ For a 1000 tonne module lifted offshore 6 Selected sections from McDermott In-house Design Guide for Lift Systems – Y.S. Choo – Apr04 CF = 1.1 DAF = 1.2 SKL =1.25 CNF= 1.35 λW x 1.1 x 1.2 x 1.25 x 1.35 sinθ λW = x 2.23 sinθ Lift point design load = NOTE: Recommended sling angle θ ≥ 60 degrees. 2. Sling Selection Level of Package The majority of erectors prefer level or nearly level lifts (rule of thumb, maximum outof- level 2.5o across a diagonal). A package will lift such that it will rotate until its Centre of Gravity (C.G.) is beneath the hook of the crane. Knowing the length of slings, vertical position of the package C.G., and package geometry, by simple triangulation, the out of level from one corner to another can be determined. If equal length slings are used, the slings will align to a point equidistant from the lifting eye positions. Note this must not be confused with the geometric centre of the package or the Centre of Gravity. The angle between sling and top of package must not be less than 45o. If the lift is unacceptably out of level, then the sling lengths can be modified to bring the hook close to or directly above the C.G. so that the package lifts level. This can be accomplished by specifying individual lengths for each sling. It is difficult to fabricate slings all of the same length. The resulting inequality will produce an uneven distribution of load. Slings are normally purchased as matching sets, so that they can be reused on other projects. If out of level must be adjusted, this should be accomplished by using pairs of equal length slings which will in effect reduce out of level in one direction only. The length of slings can be adjusted by means of link plates or shackle to shackle connection. (Shackle to shackle connection only to be used after discussion with the erector). Out-of-plane Loading on Padeye The sling and lifting eye should be aligned in the same plane and a careful check may be required on out of plane bending of the lifting eye if pairs of different length slings are used or the lifting eyes point to their (not package) geometric centre, or the dimension of the crane hook is large. Large eyes should be designed for out of plane bending. 7 Selected sections from McDermott In-house Design Guide for Lift Systems – Y.S. Choo – Apr04 8 Selected sections from McDermott In-house Design Guide for Lift Systems – Y.S. Choo – Apr04 2.3 Practical Fabricated Sling Lengths In order to design the rigging system, and estimate the weight of the slings, it is necessary to know the minimum practical fabricated length of the slings, which is governed by the lengths of the eye, the splice and the body between the termination of the splices. For hand spliced cable laid sleeve, their lengths in terms of norminal sling diameter, are given below. Note that two values are given for each part, normal minimum lengths are represented by the lower values but the higher values are currently used by manufacturers for large diameter slings (D greater than 12 inches). Lower Higher Eye Splice Min. Body Splice Eye 12D 16D 27D 30D 15D 15D 27D 30D 12D 16D Min. Total Length of Sling 93D 107D 9 Selected sections from McDermott In-house Design Guide for Lift Systems – Y.S. Choo – Apr04 3. Shackle Selection The calculated sling load as defined in Section 1.9 will define the required shackle safe working load. The calculated safe working load must be referred to standard Green Pin or McKissick (Crosby) or other manufacturers tables from which will be selected the shacle to be used for the lift. Example: calculated sling load 275 tonne, use 300 tonne SWL shackle. Careful reference should also be given to Section 1.12 bend radius of sling which may dictate a larger shackle than that selected from load consideration alone. 10 Selected sections from McDermott In-house Design Guide for Lift Systems – Y.S. Choo – Apr04 11 Selected sections from McDermott In-house Design Guide for Lift Systems – Y.S. Choo – Apr04 4. Structural Calculations Load Cases and Structural Modelling Structural calculations, based on load factors discussed in previous sections, shall include adequate load cases to justify the structure. For example, for an indeterminate, 4-point lift, the following load cases should normally be considered. § § § § § Base case, using lift weight, resolved to the lift points, but with no skew load factor Lift weight, with skew load factor applied to one diagonal Lift weight, with skew load factor applied to the other diagonal Lift weight with 75 mm tolerance applied to one diagonal set of slings Lift weight with 75 mm tolerance applied to the other diagonal set of slings In all cases, the correct sling angle and line of action, and any offset or torsional loading imposed by the slings shall be considered. Structure The overall structure shall be analysed for the loadings indicated in Section 4.1 The primary supporting members shall be analysed using the most severe loading resulting from Section 4.1, with a design factor of 1.15 applied (see Section 1.16) Lift Points An analysis of the lift point and attachments to the structure shall be performed using the most severe load resulting from Section 4.1, and a design factor of 1.35 (see Section 1.16). A 5% side load should also be applied, as should any torsional load resulting from the 55:45 2-part sling loading. Where the lift point forms a structural node, then the calculations shall also include the loads imposed by the members framing into it. Spreader Bars or Frames Spreader bars or frames, if used, should be similarly treated with load cases as above, and consequence factors in accordance with Section 1.16. The effect of fabricator tolerance in set up should be included. 5. Lift Eye (Padeye or Trunnion) Design 5.1 Positioning of Lifting Eyes Lifting eyes should be positioned where possible at or near the main nodes of the structure so that load can be distributed into the main framing and thus hopefully reduce or eliminate additional reinforcement for the lift phase. 12 Selected sections from McDermott In-house Design Guide for Lift Systems – Y.S. Choo – Apr04 The lifting eyes should be located as symmetrically as possible about the Centre of Gravity position. The distance between lifting eyes should not be less than half the dimension of the total module to avoid a significant sling force increase by a small offset of the Centre of Gravity. 5.2 Permissible Stresses The lifting eye will be checked against AISC permissible stresses. increase will be allowed. Tension Compression Bending Shear Combined Bearing Hertz Stress (bearing stress at pin hole) Averaged tension at section through pin hole No one-third 0.6Fy 0.6Fy 0.6Fy 0.4Fy 0.75Fy 0.9Fy 2.0Fy 0.45Fy For through thickness loadings, the allowable stress should be reduced to 0.2 Fy, where Fy is the minimum yield stress of the material. 5.3 Attachment to Structure The lifting eye main plate will be checked in a manner similar to that expounded in text books for typical beam to beam connections (see AISC and Steel Designer’s manual for typical examples), checking effects of shear and bending. Maximum shear stress rather than average shear stress shall be used. The design of lifting eye involving transfer of load “through the thickness” of plates should be avoided. If unavoidable, the allowable stress will be reduced to conform to Section 5.2. In the following sections, a simple padeye design is illustrated with associated checks highlighted. The geometric parameters in the figure are: P = design sling load Pc= cheek plate load D = diameter of lifting eye hole d = diameter of shackle pin T = thickness of main plate t = thickness of cheek plate R = Radius of main plate r = radius of cheek plate W = jaw width of shackle a = thickness of main plate + cheek plates = T + 2t 13 Selected sections from McDermott In-house Design Guide for Lift Systems – Y.S. Choo – Apr04 5.4 Hole Size The hole size will be larger than the shackle pin or link plate to be used depending upon pin size. Use 3mm for diameter up to 50 mm, and 6mm up to 120 mm diameters, and 4% for larger diameters up to 12 mm maximum. D = d + (3 to 6 mm) 14 Selected sections from McDermott In-house Design Guide for Lift Systems – Y.S. Choo – Apr04 5.5 Bearing Stresses Bearing stresses will be calculated by dividing the design lifting eye load by the pin diameter multiplied by total thickness of cheek plate and lifting eye main plate. If the clearance of the pin is greater than the limits specified in 5.4, the stresses should be checked according to the Hertz formula. Bearing stress = f p = 5.6 P D ( T+2t ) Cheek Plate Selection Cheek plates should be selected to provide a nominal 12 mm (0.5”) clearance between cheek plate and jaw opening of shackle (i.e. 0.25” each side). Cheek plates should not exceed main plate thickness. Centralisers should be added where appropriate to satisfy these requirements. The load carried by a cheek plate should be proportioned directly according to total cheek plate plus lifting eye plate thickness. The circumferential weld between cheek plate and lifting eye plate will be sized by dividing the proportioned load by half the circumference of the cheek plate. Where the width of the main plate and check plates < 0.8 of the shackle jaw opening, the capacity of the shackle should be de-rated (to 50% capacity for mid-span point load). W = a + 12 mm Load in cheek plate = Pc = Pt T+2t Stress in cheek plate weld= 5.7 Pc πr Pull-out Shear Pull out shear should be checked by dividing the design lifting eye load by twice the total cross sectional area of metal between hole and outer edge of lifting eye including cheek plate. Pull out shear stress = fps = (P/2) / {2t (r-0.5D) + T(R-0.5D)} 5.8 Tension Failure The lifting eye should be checked against tension failure in any plane within or outside the cheek plate area. tension stress = f t = P failure length x T 15 Selected sections from McDermott In-house Design Guide for Lift Systems – Y.S. Choo – Apr04 5.9 Side Load Lifting eye design should allow for a side load of magnitude 5% of the design lifting eye load acting at the centre of the pin hole. If there is a horizontal component of sling load acting normal to the main padeye plate, then this is to be added, plus 5%. 5.10 Edge Distance The minimum distance from the centre of any hole to the edge of the lifting eye plate shall be 1.25D, where D is the hole diameter, or 75 mm between edge of hole to edge of lifting eye plate, whichever is larger. R ≥ 1.25D 5.11 Combined Stresses A von Mises yield criterion should be used to check against the combined effects of coincident shear, axial load and bending f c = f x2 +f y2 -f x f y +3f s2 where fx and fy are the algebraic sum of the axial and bending stresses in the x and y planes respectively, and fs is the algebraic sum of the coincident shear stresses due to torsion and/or bending. 16 Selected sections from McDermott In-house Design Guide for Lift Systems – Y.S. Choo – Apr04 Project Examples for plate trunnions and padeyes Placement of doubled slings onto plate trunnion for deck structure Two examples of padeye with main plate slotted into the circular deck member 17