Miscelleneous

C L DUBEY – EXERCISE – 11 (Grain Stability)

List Ordinate SM Product
0 0.0 1 0
10 0.263 4 1.052
20 0.472 2 0.944
30 0.604 4 2.416
40 0.631 1 0.631
      SOP = 5.043

Area = 10/3 ⨯ 5.043/57.3
= 0.293 m radian

Area of triangle = 0.5 ⨯ 6.5 ⨯ 0.1735/57.3
= 0.010m radian

Area of trapezium = 0.5 ⨯ (0.1735 + 0.14) ⨯ (4.0 – 6.5)/57.3
= 0.191m radian

Residual area = 0.192m > 0.075m radian
Therefore, All condition satisfied.

Hence, vessel satisfy intact stability requirement for grain cargo or grain loading criteria.
 
Q4. A vessel loaded with grain in bulk is at a displacement of 35186t, KG 7.809m, KM 11.30m. The stowage factor of the grain is 1.3m3/t and the total volumetric heeling Moments are 21321 m4. AT the displacement her KN values are as follows:
Heel (0)
5
12
15
30
45
60
GZ (m)
1.00
2.42
2.90
5.60
7.30
8.05
If her angle of flooding exceeds 400, ascertain whether the vessel complies with the intact stability requirements for such vessels.
Solution –

Given, KM = 11.30
KG = 7.809m

GM = (KM – KG)
        = 3.491m > 0.3m

Therefore, Condition 1 satisfied

Now total volumetric heeling moment = 21321
Weight heeling moment = VHM/SF
= 16400.7692

Heeling arm = λ0 = 16400.76923/35186
= 0.466m
λ40 = 0.373m

About the author

Manish Mayank

Graduated from M.E.R.I. (Mumbai). A cool, calm, composed and the brain behind the development of the database. The strong will to contribute in maritime education and to present it in completely different and innovative way is his source of inspiration.

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