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A loadout using a SPMT trailer (source: www.nesoffshore.com)

These ramps appear to be rectangular, but wedge shaped. We can also notice that there are four files of SPMT trailers and there is one ramp placed for each file (only two ramps are fully visible, while the third is partially visible). Looking at these ramps and imagining the SPMT going over the ramp, we can gauge the kind and distribution of forces the Ramp will be undertaking during the operation.
• As the wheels of the SPMT leave the quay side and get on to the ramp, load starts getting transferred to the ramp.
• When the first wheel moves in, the ramp will experience the quantum of load which the first wheel of the SPMT carries.
• Generally, the load of the cargo is spread onto the wheels of the SPMT and it can be considered that each wheel/axle carries a uniform load which equals the weight of cargo divided by the number of axles.
• The load from each wheel/axle can be considered as a point load on the ramp as a simplification
• The load distribution on the ramp will depend upon
• Length of gap between SPMT and vessel
• The distance between the axles/wheels of SPMT.
• Depending on the above factors, there can be different cases of loading on the ramp
• One wheel at the center of the ramp
• Two wheels equidistant from the sides of the gap
• Three, four or more wheels, depending on relative difference between the length of gap and distance between two wheels/axles.
The Ramp should be analyzed for all such scenarios in which different configuration of wheels can be conceived. The simplest ramp – the flat plate The simplest form of ramp can be just a rectangular flat plate over which the SMPT trailer passes. The figure below depicts the scenario in which an axle of the SPMT is at the center of the ramp. The ramp will have to be analyzed for its strength for this load case. There can be another case in which there are two wheels on the ramp, and so on. Strength check needs to be done for all these cases.

Figure depicting a SMPT loadout trailer on a flat plate ramp

Example calculations To demonstrate the different load scenarios, lets take an example of a scenario of loadout with the following parameters:
• Length of gap = 3000 mm
• Distance between two axle lines = 1600 mm
• Load per axle = 16 MT
• Plate dimensions = 6000 mm x 2000 mm x 50 mm THK
The distance between two axle lines is 1600 mm, which is less than the gap length. Also, if we divide the gap length by axle distance, the result is less than 2. Thus, there will be two loading cases:
• Case 1 – one wheel on ramp
• Case 2 – two wheels on ramp
Case 1 is depicted below. We can see that the wheel has moved 1600 mm from the side of the gap, and the next wheel is just about to leave the quay side. The resulting shear force and bending moment calculations/graph are also shown.   Case 2 is also depicted below. We can see that now there are two wheels equidistant from each end of the gap. Each wheel carries a load of 16 MT, and the resulting bending moment and shear force curves are also shown.

We can see that in this case, there can’t be three wheels on the ramp, since there is not enough gap length to accommodate three wheels. The above methodology can be employed to design and deploy a simple rectangular flat plate as a link plate/ramp for a loadout operation. TheNavalArch has its own simple spreadsheet to design/evaluate rectangular flat plate ramps for loadouts. It automatically generates and evaluates the load cases in excel after the user provides the basic inputs like gap length, axle spacing, plate dimensions, load etc. You can check it out from the link below.
Disclaimer: The views, information, or opinions expressed during [the] series are solely those of the author and do not necessarily represent those of Thenavalarch Pte Ltd and its employees

#### Prem Shankar

Founder, TheNavalArch

The author is the founder of www.thenavalarch.com, a website providing useful low-cost software and other online resources for Naval Architects. A graduate in Naval Architecture from Indian Institute of Technology (IIT), Kharagpur, he has worked on the design, engineering, construction and installation of a variety of marine and offshore structures, ranging from ships to offshore platforms and FPSO’s. TheNavalArch is part of his endeavour to bring rich and low-cost online content for the oil & gas and marine communities. The author can be contacted at info@thenavalarch.com