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Determinación de la estabilidad de una pequeña embarcación pesquera de madera de diseño predominante en la zona norte del litoral peruano
Julio - Diciembre 2018
490
Los brazos adrizantes obtenidos en cada una de las
condiciones de carga para escoras mayores de 30°, superan
los 0,20 m excepto en la condición de carga C7 que alcanza
solamente 0,18 m. La Tabla 5 resume las áreas “a” y “b”
calculadas para cada una de las condiciones de carga,
observándose que todas las áreas “b” son mayores que las
áreas “a”, cumpliendo satisfactoriamente con la exigencia.
Criterio de Rahola
Los números en negrita son los valores que no cumplen
con los requerimientos del criterio. La magnitud de los
brazos adrizantes requeridos por el Criterio de Rahola
(Tabla 6), son menores a los exigidos, solamente en la
condición de carga C7 (retorno al Puerto con 100 % de
captura en bodega y 10 % de combustible y agua dulce).
Igualmente el máximo brazo adrizante (GZ
max
) en las
condiciones de carga C3, C4, C5 y C6 ocurren para escoras
menores de 30° (Anexo 9). Esta exigencia no es totalmente
satisfactoria. Con referencia a los brazos dinámicos,
superan ampliamente el mínimo exigido, cumpliéndose
satisfactoriamente con esta exigencia (Anexo 10). En
consecuencia, la condición de carga C7 no cumple para
los requerimientos de brazos adrizantes en escoras de 20°
y puede considerarse para calicar como una condición de
estabilidad un poco crítica para la embarcación.
Criterio de Nickum
En la Tabla 7 se observa que los valores de la altura
metacéntrica (GM) de la embarcación son mayores que los
valores calculados con las fórmulas. De igual forma, los
valores obtenidos mediante la relación
, en todas las condiciones de
carga, son mucho mayores a 0,15,
cumpliendo satisfactoriamente con este
criterio.
Criterio Holandés
Para que la embarcación cumpla con esta
exigencia, bastará que el brazo adrizante
para una escora de 35° sea igual o mayor
de 0,22 m. En la Tabla 8 y Anexo 11 se
observa que la condición de carga C7 es
la única que no satisface esta exigencia.
Criterio Japonés
En la Tabla 9 se resume las exigencias
de este criterio frente a los resultados
obtenidos para cada una de las condiciones
de carga. Las alturas metacéntricas y
los francobordos calculados con las
fórmulas propuestas, son menores que las
correspondientes alturas metacéntricas
y francobordos de la embarcación en
cada una de las condiciones de carga,
cumpliéndose ampliamente con este
criterio.
Criterio de Takagui
En la Tabla 10 se observa que el GM
de la embarcación es superior al rango
propuesto por el criterio (0,45 m ≤ 0,60
m), lo cual indica una buena estabilidad.
Con respecto a los máximos periodos de
balance exigidos por este criterio (Tabla
10) se observa en la, que los periodos
de balance de la embarcación son
efectivamente menores, cumpliendo bien
con esta recomendación. La constante
de estabilidad “C” calculada mediante la
fórmula (16), se ubica muy a la derecha de
la curva de seguridad (Anexos 12), lo cual
indica una buena estabilidad.
Tabla 4. Resultados de los valores calculados para la embarcación referentes
a los valores mínimos requeridos por la OMI (Altura metacéntrica (GM),
Brazos adrizantes (GZ) y los Brazos dinámicos
Requerimientos del Criterio
Condiciones de carga
C1 C2 C3 C4 C5 C6 C7
GM
0
≥ 0,35 m
0,90 0,97 0,92 0,99 0,88 0,93 0,80
GZ ≥ 0,20 m en θ ≥ 30°
0,41 0,44 0,28 0,32 0,24 0,29
0,18
GZ
max
en θ ≥ 30 y no <25°
30,5° 32,7° 27,0° 28,5° 25,6° 25,5° 30,0°
0,13 0,15 0,10 0,11 0,09 0,11 0,07
0,20 0,23 0,15 0,19 0,13 0,15 0,10
0,07 0,08 0,05 0,08 0,04 0,04 0,03
Tabla 5. Resultados obtenidos de las áreas “b” y “a” (requerimiento del
Criterio Meteorológico) para cada una de las condiciones de carga
Requerimientos del
Criterio
Condiciones de carga
C1 C2 C3 C4 C5 C6 C7
Area “b” (m.rad)
0,07 0,08 0,05 0,06 0,04 0,05 0,03
Area “a” (m.rad)
0,04 0,05 0,03 0,04 0,03 0,03 0,02
(*) Los cálculos nales se realizaron hasta q
1
= 25° utilizado por la Marina de EEUU (Díaz
1972), (**) q
2
= 50° porque q
f
y q
c
son mayores de 50°. Lw
1
, Lw
2
, q
1
fueron calculados
mediante las ecuaciones (5), (6) y (7) con los datos obtenidos de Anexo 4. Las áreas “a” y
“b”, fueron calculadas aplicando la 1ra Regla de Simpson.
Tabla 6. Resultados de los brazos adrizantes y brazos dinámicos requeridos
por el Criterio de Rahola
Requerimientos del
Criterio
Condiciones de carga
C1 C2 C3 C4 C5 C6 C7
GZ
20°
≥ 0,14 m
0,34 0,38 0,27 0,30 0,22 0,28 0,17
GZ
30°
≥ 0,20 m
0,41 0,44 0,28 0,32 0,24 0,29 0,18
Tabla 7. Resultados de la altura metacéntrica de la embarcación comparado
con los requerimientos del Criterio de Nickum
Requerimientos del Criterio
Condiciones de carga
C1 C2 C3 C4 C5 C6 C7
GM ≥ 0,1*M o GM ˃ 0, 61 m
0,407 0,405 0,411 0,410 0,412 0,412 0,412
GM = [(0,8*M)/T]
2
0,816 0,873 0,879 0,932 0,868 0,914 0,811
GM embarcación (m) 0,902 0,974 0,922 0,986 0,878 0,930 0,803
(f/m) + (A /lf * M) ≥ 0,15
0,658 0,698 0,567 0,592 0,494 0,512 0,429
Los valores en negrita corresponden a la altura metacéntrica y periodo de balance de la
embarcación.