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                     Section 
                     4 Union purchase arrangements
                  
                     
                        
                          4.1 General
                        
                           
                           
                              
                              
                              4.1.1 Where the
                                 derricks are arranged for operation in union purchase, the maximum
                                 resultant loads in the system are to be determined, in accordance
                                 with the requirements of this Section.
                               
                              
                              
                              4.1.2 The scantlings
                                 and arrangements of the derrick system are to be determined for union
                                 purchase operation and for operation as single slewing derricks. Each
                                 part of the rig is to be suitable for the most severe loading to which
                                 it may be subjected.
                               
                              
                              
                              4.1.3 The union
                                 purchase rig is generally to be designed so that the operation is
                                 possible on either side of the ship. A typical rig is shown in Figure 2.4.1 Typical union purchase rig.
                                 
                               
                                 
                                   Figure 2.4.1 Typical union purchase rig 
                              
                              
                              4.1.4 Union purchase
                                 rigs may be designed on the basis of either:
                               
                                 
                                    
                                    
                                    minimum headroom below
                                       the triangle plate; or
                                    
                                    
                                    
                                    maximum included angle
                                       between the cargo runners.
                                     
                              
                              
                              4.1.5 The following
                                 criteria are to be complied with at all times:
                               
                                 
                                    
                                    
                                    Minimum operating angle
                                       of either derrick is to be not less than 15° to the horizontal,
                                       and it is recommended this angle is not less than 30°.
                                    
                                    
                                    
                                    Minimum headroom to
                                       the triangle plate is to be not less than 4,0 m where the SWL(U) of
                                       the rig does not exceed 2,0 t, or 5,0 m for higher values of SWL(U).
                                    
                                    
                                    
                                    The maximum included
                                       angle between the cargo runners is not to exceed 120°.
                                    
                                    
                                    
                                    The outreach beyond
                                       the midship breadth of the ship is to be not less than 4,0 m.
                                     
                              
                              
                              4.1.6 The minimum
                                 headroom is defined as the least vertical in distance at any stage
                                 in the operating cycle of the rig, from the highest point of the ship’s
                                 deck structure (usually the top of the hatch coaming or the ship side
                                 bulwark or rails) to the centre of the triangle plate.
                               
                     
                        
                          4.2 Working range of the rig
                        
                           
                           
                              
                              
                              4.2.1 The derrick
                                 booms are to be of sufficient length and to be so positioned as to
                                 cover the required working area of the hatch while complying with
                                 the criteria given in Ch  2,  4.1 General 4.1.5.
                                 
                               
                              
                              
                              4.2.2 For this purpose,
                                 the booms are to be such that the boom heads may be located at the
                                 positions listed in Table 2.4.1 Boom head positions for union
                                    purchase calculations.
                                 These arrangements are illustrated in Figure 2.4.2 Positions of derricks for union
                                    purchase and Figure 2.4.2 Positions of derricks for union
                                    purchase for hatches
                                 with one pair and two pairs of derricks respectively.
                                 
                               
                                 Table 2.4.1 Boom head positions for union
                                       purchase calculations
                                    
                                       
                                          | Boom and direction | Symbol | Number of pairs of booms at the hatch |  
                                          | One | Two |  
                                          | Dimension, in metres |  
                                          | Outboard
                                             boom |  |  |  |  
                                          |  | Transverse | y
                                             o | 4 | 4 |  
                                          |  | Longitudinal | x
                                             o | 0,25lh | 0,20lh |  
                                          |  |  |  |  |  |  
                                          | Inboard
                                             boom: |  |  |  |  
                                          |  | Case
                                             1 | Transverse | y
                                             j | 1 | 1 |  
                                          |  |  | Longitudinal | xj | 0,75lh | 0,67lh |  
                                          |  | Case
                                             2 | Transverse | y
                                             j | 0,25b
                                             h | 0,25b
                                             h |  
                                          |  |  | Longitudinal | x
                                             j | 0,375lh | 0,33lh |  
                                          | 
                                                
                                                
                                                Note 
                                                   2. Case 2 is applicable to operation in
                                                   the maximum included angle mode only.
                                                 
                                                
                                                
                                                Note 
                                                   3. lh and b
                                                   h are defined as the length and breadth respectively of the
                                                   hatch openings, in metres. 
                                                 |  
                              
                              
                              
                                 
                                   Figure 2.4.2 Positions of derricks for union
                                       purchase 
                              
                              
                              4.2.4 Calculations
                                 of the forces and resultant loads in the system are to be made as
                                 follows:
                               
                                 
                                    
                                    
                                    Based on maximum headroom:
                                    
                                    
                                    Based on maximum included
                                       runner angle:
                                     
                              
                              
                              4.2.5 Where, at
                                 the request of the Owner, the rig is to operate over a working range
                                 different from that given in Ch  2,  4.2 Working range of the rig 4.2.2,
                                 including instances where the rig is designed for use in one fixed
                                 position only, calculations are to be made for the extreme positions
                                 of the specified range. The boom positions are to be clearly defined
                                 in the Register of Ship’s Lifting Appliances and Cargo
                                    Handling Gear. In all instances, the arrangement is to comply
                                 with the limiting criteria given in Ch  2,  4.1 General 4.1.5.
                                 
                               
                              
                              
                              4.2.6 It may be
                                 assumed that the maximum forces will be associated with the extreme
                                 positions of the rig. Intermediate positions within the working range
                                 need not, in general, be examined.
                               
                              
                              
                              4.2.7 The derrick
                                 booms are to be restrained by the use of preventer guys which are
                                 to be attached to eyeplates at the boom head or looped over the boom.
                                 The slewing guys are to be slackened off once the rig is set up and
                                 only the preventer guys are to be taken into account with regard to
                                 the calculation of forces in the rig.
                               
                              
                              
                              4.2.8 It is recommended
                                 that the deck eyeplate for the preventer to the inboard derrick should
                                 be approximately abreast the derrick head. The eyeplate for the preventer
                                 to the outboard derrick is to be positioned so as to obviate the risk
                                 of jack-knifing, see 
                                 Figure 2.4.5 Form of diagram when beam is in
                                    danger of jack-knifing, and to avoid excessive guy tension.
                                 
                               
                              
                              
                              4.2.9 The boom heads
                                 are to be connected by a boom head or schooner guy, the safe working
                                 load of which is to be as required by Ch  2,  8.4 Slewing and preventer guys 8.4.6.
                                 Alternative arrangements will be considered.
                                 
                               
                     
                        
                          4.3 Calculation of forces
                        
                           
                           
                              
                              
                              4.3.1 The dimensions
                                 and other particulars required for the calculation of forces in the
                                 rig are indicated in Figure 2.4.3 Typical data sheet.
                                 
                               
                                 
                                   Figure 2.4.3 Typical data sheet 
                              
                              
                              4.3.2 Where the
                                 forces are to be determined by the construction of force diagrams,
                                 it is recommended that the following procedure be adopted, corresponding
                                 to the parts of the typical diagrams as labelled in Figure 2.4.4 Typical union purchase
                                    calculations:
                                 
                               
                                 
                                    
                                    
                                    Projected plan of the
                                       rig.
                                    
                                    
                                    
                                    True side elevations
                                       of the derrick booms.
                                    
                                    
                                    
                                    Lines of the cargo runners
                                       at the minimum headroom position.
                                     
                                 
                                   Figure 2.4.4 Typical union purchase
                                       calculations 
                              
                              
                              4.3.4 Where a diagram
                                 of the character shown in Figure 2.4.5 Form of diagram when beam is in
                                    danger of jack-knifing is
                                 obtained (this is where the diagram does not ‘close’),
                                 the boom is in danger of jack-knifing. The boom will be in danger
                                 of jack-knifing if the total vertical load is less than the span tension
                                 x tan α, where α is the angle of the boom to the horizontal.
                                 Where this situation arises, the eyeplates for the preventer guys
                                 are to be repositioned. In general, it is recommended that the position
                                 of the guy eyeplate for the outboard boom is such that the load due
                                 to the vertical components of the runner and guy forces (but not the
                                 boom weight) is at least equal to span tension x tan α.
                                 
                               
                                 
                                   Figure 2.4.5 Form of diagram when beam is in
                                       danger of jack-knifing 
                              
                              
                              4.3.5 As an alternative
                                 to the graphical procedure, the forces in the rig may be determined
                                 by direct calculation.
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