C L DUBEY – EXERCISE – 11 (Grain Stability)

Heel	Ordinate	SM	Product
0	0	1	o
10	0.35	4	1.4
20	0.764	2	1.53
30	1.227	4	4.91
40	1.551	1	1.55
		SOP = 9.30

Area of triangle = 0.5 ⨯ 7 ⨯ 0.265/57.3
= 0.016m radian

Area of trapezium = 0.5 ⨯ (0.265 + 0.22) ⨯ 33/57.3
= 0.139m radian

Residual area = 0.397m radian > 0.075m radian
Therefore, condition 3 satisfied

Hence, vessel satisfy intact stability requirement for grain cargo or grain loading criteria.

Q3. The values of GZ vessel for various angles of heel are as follows:

Heel (0)	00	05	12	20	30	40	60	75
GZ (m)	0.000	0.136	0.315	0.472	0.604	0.631	0.562	0.248

The heeling arm at 0⁰ = 0.18m. The angle of flooding is 40⁰ and maximum difference between the righting arm and heeling arm occurs at 43⁰. Verify whether the vessel satisfied the criteria of stability for a cargo ship carrying grain in bulk (Assume the deck edge immerses at 10⁰  heel).

Solution –

Given, λ₀ = 0.18m, λ₄₀ = 0.14m