Example B.4.1 – Uprights on a 16,600 DWT Vessel
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Statutory Documents - IMO Publications and Documents - International Codes - 2011 TDC Code – Code of Safe Practice for Ships Carrying Timber Deck Cargoes, 2011 – Resolution A.1048(27) - Annex B – Samples of Stowage and Securing Arrangements - B.4 Example Calculation – Uprights for packages of sawn wood - Example B.4.1 – Uprights on a 16,600 DWT Vessel

Example B.4.1 – Uprights on a 16,600 DWT Vessel

Figure B.4 Midship section of ship with timber packages secured with uprights

 Ship particulars

Length between perpendiculars, LPP: 134 metres
Moulded breadth, BM: 22 metres
Service speed: 14.5 knots
Metacentric height, GM: 0.7 metres

 The deck cargo has the dimensions L x B x H = 80 x 19.7 x 2.4 metres. The total weight of the deck cargo is taken as 1,600 tons.

 With ship particulars as above and considering a stowage position on deck low, Annex 13 of the CSS Code gives a transverse acceleration of at = 5.3 m/s2 , using the following basic acceleration and correction factors:

at basic = 6.5 m/s2 = Basic transverse acceleration
fR1 = 0.80 = Correction factor for length and speed
fR 2 = 1.00 = Correction factor for BM/GM
at = at basic fR1 fR2 = 6.5 • 0.81 • 1.00 = 5.3 m/s 2

 Cargo properties

m = 1,600 ton = Mass of the section to be secured in tons, including absorbed water and possible icing
μinternal = 0.30 = Coefficient of internal friction between the timber packages
H = 2.4 m = Height of deck cargo in metres
b = 1.1 m = Width of each individual stack of packages
np = 18 pcs = Number of stacks of timber packages abreast in each row
q = 2 pcs = Number of layers of timber packages
RS   3.5 kN/M = Racking Strength per timber package in kN/
N = 36 pcs = Number of uprights supporting the considered section on each side
H = 2.4 m = Height above deck at which hoglashings are attached to the uprights in metres
K = 1.8 = Factor for considering hog lashings
  k = 1 if no hog lashings are used
    k = 1.8 if hog lashings are used

 Bending moment in uprights

The design bending moment per upright supporting timber packages is to be taken as the greatest of the three moments given by the following formulas:

CM bending1 = (Moment required to prevent tipping)
where = (fi = Factor for considering internal moment)
CM bending 2 = (Moment required to prevent sliding)
CM bending 3 = (Moment required to prevent racking)

 With cargo properties and acceleration as given above, the following bending moments are calculated:

fi =
= 0.275
CM bending 1 =
CM bending 2 =
= 17.5 kNm
CM bending 3 =
= 78.5 kNm

 The design bending moment, taken as the maximum bending moment calculated by the three formulae above multiplied with the safety factor of 1.35, thus becomes 106 kNm:

  • M bending
= 1.35•78.5
= 106 kNm

 Suitable dimensions for uprights

With MSL taken as 50% of the MBL for steel with the ultimate strength 360 MPa (N/mm2), the required bending resistance, W, can be calculated as:

W =
=
= 589·103 mm3
= 589 cm3

 Thus, uprights made from either HE220A profiles or a cylindrical profile with an outer diameter of 324 mm and a wall thickness of 10.3 mm are suitable (see section B.7).

 Strength in hoglashings

The required MSL of each hog lashing is calculated by the following formula:

 In this case, the hoglashings are attached at a height of h = 3.5 m and the required strength is calculated as:

MSL = = 15 kN ≈ 1.5 ton


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