ISO NON-SAILING BOATS OF LENGTH GREATER THAN OR EQUAL TO 6 m CALCULATION WORKSHEET No. 1 Design:

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1 ISO NON-SAILING BOATS OF LENGTH GREATER THAN OR EQUAL TO 6 m CALCULATION WORKSHEET No. 1 Design: Design Category intended: Monohull / multihull: Item Symbol Unit Value Ref. Length of hull as in ISO 8666 L H m Length waterline in loaded arrival condition L WL m Empty craft condition mass m EC kg standard equipment kg water ballast in tanks which are notified in the owner s manual to be filled whenever the boat is afloat kg Light craft condition mass = m EC + standard equipment + ballast m LC kg Mass of: Desired Crew Limit CL Mass of: desired Crew Limit at 75 kg each kg provisions + personal effects kg drinking water kg fuel kg lubricating and hydraulic oils kg black water kg grey water kg any other fluids carried aboard (eg: in bait tanks) kg stores, spare gear and cargo (if any) kg optional equipment and fittings not included in basic outfit kg inflatable liferaft(s) in excess of essential safety equipment kg other small boats carried aboard kg margin for future additions kg Maximum load sum of above masses m L kg Maximum load condition mass m LC m L m LDC kg mass to be removed for Loaded Arrival Condition kg Loaded arrival condition mass m LA kg Mass of: minimum number of crew according to kg 3.4.3a) non-consumable stores and equipment normally aboard kg 3.4.3b) inflatable liferaft kg Load to be included in Minimum Operating Condition m L kg Light craft condition mass m LC kg Mass in the Minimum Operating Condition m LC m L m MO kg Is boat sail or non-sail? 3.1.2, 5.2 reference sail area according to ISO 8666 A S m sail area / displacement ratio A S /(m LDC ) 2/ , 5.2 CLASSIFIED AS [non-sail if A S /(m LDC ) 2/3 < 0,07] SAIL/NON-SAIL? 3.1.2, 5.2 NB: If NON-SAIL, continue using these worksheets, if SAIL, use ISO Checklist Stability Power en Page 1 of 17

2 ISO CALCULATION WORKSHEET No. 2 TESTS TO BE APPLIED Question Answer Ref. Is boat fully enclosed? (see definition in ref.) YES/NO? Is boat partially protected? (see definition in ref.) YES/NO? Item Symbol Unit Value Ref. Windage area in m MO A LV m Length waterline in loaded arrival condition L WL m Beam of hull B H m Ratio A LV /(L WL B H ) Choose any ONE of the following options, and use all the worksheets indicated for that option. Option categories possible A and B C and D B C and D C and D C and D decking or covering fully enclosed fully enclosed any amount any amount partially protected any amount downflooding openings downflooding angle 3 3 downflooding all boats a 3 3 height test Annex A method a 4 4 offset load test resistance to waves + wind 6 6 heel due to wind action 7 b 7 b 7 b 7 b recess size 8 8 c habitable multihulls motor sailers flotation test flotation material detection & removal of water SUMMARY a. The downflooding height test is not required to be conducted on the following Category C and D boats: I. those which, when tested in accordance with normative annex F.4, have been shown to support, in addition to the mass required by F.2 and Table F.5, an additional equivalent dry mass (kg) of (75 CL + 10% of dry weight of stores and equipment included in the maximum total load), or II. those boats that do not take on water when heeled to 90 from the upright in the light craft condition. b. The application of Worksheet 7 is only required for boats where A LV /(L WL B H ) > 0,55. c. Only required for boats of design category C Option selected Checklist Stability Power en Page 2 of 17

3 ISO CALCULATION WORKSHEET No. 3 DOWNFLOODING Downflooding Openings: (all boats) Question Answer Ref. Have all appropriate downflooding openings been identified? YES/NO Have potential downflooding openings within the boat been identified? YES/NO Do all closing appliances satisfy ISO 12216? YES/NO Hatches or opening type windows are not fitted below minimum height above waterline? YES/NO Seacocks comply with requirements? YES/NO Are all openings on Category A or B boats fitted with closing appliances? (Except openings for ventilation and engine combustion) YES/NO Categories possible: A or B if all are YES, C or D if first five are YES Downflooding Angle: (Categories A and B only) Item Symbol Unit Value Ref. Required value: (where O attained angle from offset load test) Category A larger of ( O 25) or 30 D(R) degrees Table 3 Category B larger of ( O 15) or 25 D(R) degrees Table 3 Area of openings permitted to be submerged =1,2L H B H F M cm Actual downflooding angle: at mass m MO DA degrees at mass m LA DA degrees Method used to determine DA : Ann. C Design Category possible on Downflooding Angle Downflooding Height: (All except exempt boats) applicable to Requirement Basic requirement all options Reduced value for small openings all options (only using figures) Reduced value at outboard Increased value at bow options 3, 4 options 3, 4, 6 ref a) d) c) b) obtained from Figs. 2 3 or annex A? basic 0,75 basic 0,80 basic 1,15 maximum area of small openings (50L H 2 ) (mm 2 ) Required downflood Height h D(R) (m) Fig. 3/ann. A Fig. 3/ann. A Fig. 3/ann. A Fig. 4/ann. A Category A Category B Category C Category D Actual Downflooding Height h D Design Category possible Design Category possible on Downflooding Height lowest of above Checklist Stability Power en Page 3 of 17

4 ISO CALCULATION WORKSHEET No. 4 DOWNFLOODING HEIGHT Calculation using normative annex A assuming use of option. Item Symbol Unit Opening 1 Opening 2 Opening 3 Opening 4 Position of openings: Least longitudinal distance from bow/stern x m Least transverse distance from gunwale y m F 1 = greater of (1 x/l H ) or (1 y/b H ) F 1 Size of openings: Combined area of openings to top of any down-flooding opening a mm 2 Longitudinal distance of opening from tip of bow x D m Limiting value of a = (30L H ) 2 mm 2 If a (30L H ) 2, F 2 = 1,0 If a < (30L H ) 2, F 2 = x' D a F 1 0, 4 2 L H 75LH Size of recesses: Volume of recesses which are not quickdraining in accordance with ISO V R m 3 Freeboard amidships (see 3.3.5) F M m k = V R /(L H B H F M ) k If opening is not a recess, F 3 = 1,0 If recess is quick-draining, F 3 = 0,7 If recess is not quickdraining, F 3 = (0,7 + k 0,5 ) F 3 Displacement: Loaded displacement volume (see 3.4.5) V D m 3 B = B H for monohulls, B WL for multihulls B m F 4 = [(10 V D )/(L H B 2 )] 1/3 F 4 Flotation: For boats using option 3 or 4, F 5 = 0,8 For all other boats, F 5 = 1,0 F 5 Required calc. height: = F 1 F 2 F 3 F 4 F 5 L H /15 h D(R) m Required downflooding Height with Limits applied (see annex A, Table A.1) Category A h D(R) m Category B h D(R) m Category C h D(R) m Category D h D(R) m Measured Downflooding Height: h D m Design Category possible: lowest of above = Checklist Stability Power en Page 4 of 17

5 ISO CALCULATION WORKSHEET No. 5a OFFSET-LOAD TEST Mass of people used for test Name Ident A B C D E F G H Mass (kg) Name Ident I J K L M N O P Mass (kg) Crew area Areas included and access limitations (if any): Area P/S? 1 Incl? Persons Limit Area P/S? 1 Incl? Persons Limit main cockpit cuddy top aft cockpit forward cockpit saloon cabins side decks fore deck coachroof top wheelhouse top fly bridge swim platform Sketch: Indicate possible seating locations along the length of the side to be tested using numbers, so that these may later be used to record the positions that people actually occupy. Locations should not be closer than 0,5 m between centres, and not closer to outboard edge than 0,2 m unless on sidedecks less than 0,4 m wide. 1 Note whether it is asymmetric by adding P (port ort S (starboard) to denote the larger side) Checklist Stability Power en Page 5 of 17

6 ISO CALCULATION WORKSHEET - No. 5b (continued) OFFSET LOAD TEST Stability test Full procedure (Sheet to be used twice, once for stability, then for flooding) Boat being tested for: stability downflooding (use for either, please circle which) L H (m) Min. permitted freeb d margin (see Table 5) Max. permitted heel angle (º) 24 L = 11,5+ H Table 1 Intended crew limit (CL) Intended design category Mass test weights per person (kg) (Cat D only) Max. mass of test weights (kg) (= 98xCL) Does boat have a list? YES / NO If YES, to which side? P / S Is Crew Area Asymmetric? YES / NO If YES, to which side? P / S Is downflooding asymmetric? YES / NO If YES, to which side? P / S Boat tested: to P to S in both directions (please circle) Test data: Mass Iden. Location Total Heel Min. Freeb d Mass Lever Moment Mass Angle (m) (kg) (m) (kgm) area fore & aft (kg) (º) P/S fwd aft Max mass of people allowed per above hence CL = at kg/person Design category given: Safety signs required: Fig B.1 YES / NO Fig B.2 YES / NO Fig B.3 YES / NO Checklist Stability Power en Page 6 of 17

7 ISO CALCULATION WORKSHEET - No.5c SIMPLIFIED OFFSET LOAD TEST This method may only be applied by calculation; requirements must be fulfilled for both conditions LC1 and LC2 Preparation (curves of moments in Nm) Question Answer ref. Mass and centre-of-gravity of the boat calculated for conditions LC1 and LC2? YES/NO B Curves of righting moments calculated according to annex D? YES/NO B Crew heeling moment curve calculated with 961 CL (B C /2-0,2) cosφ or where the crew area includes side decks less than 0,4m wide with 480 CL B C cosφ? YES/NO B Test data: Item symbol unit LC1 LC2 ref. Maximum transverse distance between the outboard extremities of any part of the crew area Heel angle at the point of intersection between crew heeling moment curve and curve of righting moment C degrees B C m B & B Maximum permitted heel angle O(R) degrees B Value of downflooding angle D degrees B Value of minimum freeboard margin at C h F m Minimum required freeboard margin h F(R) m Righting moment at D Crew heeling moment at D Nm Nm table 4 Requirements: Question Answer ref. Is C < O(R) YES/NO B Is h F > h F(R) YES/NO B Is max righting moment up to D > crew heeling moment at D YES/NO B Offset load test passed, if all questions above are answered with 'Yes' PASS/ FAIL B Checklist Stability Power en Page 7 of 17

8 ISO CALCULATION WORKSHEET No. 6a RESISTANCE TO WAVES+WIND NB: This sheet is to be completed for both Minimum Operating and Loaded Arrival Conditions. Input data: Design Categories A and B only Item Symbol Unit m LA m MO Ref. Minimum operating mass m MO kg Loaded arrival mass m LA kg Displacement volume ( = m MO /1 025 or m LA /1 025 ) V D m Windage area (of above water profile of boat) A LV m Windage area to be used (not to be < 0,55 L H B H ) A LV m Length waterline L WL m Lever between centroids of above and below water areas h m Downflooding angle D degrees Item Symbol Unit Cat A Cat B Ref. Calculation wind speed v W m/s (continued on worksheet 6b) Checklist Stability Power en Page 8 of 17

9 ISO CALCULATION WORKSHEET No. 6b RESISTANCE TO WAVES+WIND NB: This sheet is to be completed for both Minimum Operating and Loaded Arrival Conditions. Rolling in beam waves and wind: Design Categories A and B only item symbol unit m LA m MO ref. Second wind heel equilibrium angle degrees Fig 6 Least value of D, 50 or second wind heel equilibrium angle A2 degrees Fig 6 2 Wind heeling moment = 0,53 A LV h v W 2 or = 0,30 A LV (A LV / L WL + T M ) v W M W Nm Assumed roll angle Category A = ( /V D ) Category B = ( /V D ) R degrees Area A 1 (see Figure 6) A 1 any Figure 6 Area A 2 (see Figure 6) A 2 any Figure 6 Ratio of A 2 /A Is ratio of A 2 /A 1 greater than or equal to 1,0? YES / NO Resistance to waves: item symbol unit m LA m MO ref Least value of D, V or 50 degrees Heel angle when righting moment is maximum GZmax degrees If GZmax is greater than or equal to 30 : Max. value of righting moment at 30 RM 30 knm 6.3.3a) Required value of righting moment knm a) Is RM 30º greater than or equal to required max. value? PASS/FAIL b) Value of righting lever at 30º = RM 30 /(9,806 m*) GZ 30 m Required value of righting lever at 30º m 0, a) Is GZ 30º greater than or equal to required max. value? PASS/FAIL a) If GZmax is less than 30 : max. value of righting moment RM max knm b) Required value RM max (A = 750/ GZmax, B = 210/ GZmax ) knm b) Is RM max greater than or equal to required max. value? PASS/FAIL b) max. value of righting lever = RM max /(9,806 m*) GZ max m Required max. value of righting lever = 6/ GZmax m b) Is GZ max greater than or equal to required max value? PASS/FAIL b) Design Category given: NB: Boat must have ratio of A 2 /A 1 greater than or equal to 1,0, and also get PASS twice under resistance to waves. *) m is the mass value of the corresponding loading condition m LA or m MO Checklist Stability Power en Page 9 of 17

10 ISO CALCULATION WORKSHEET No. 7 HEEL DUE TO WIND ACTION NB: This sheet is to be completed for both Minimum Operating and Loaded Arrival Conditions. Initial check: Design Categories C and D only Item Symbol Unit Value at m MO Ref. Windage area (NOT subject to minimum of 0,55 L WL B H ) A LV m Length waterline L WL m Beam of hull B H m Ratio A LV /(L WL B H ) Is ratio A LV /(L WL B H ) equal to or greater than 0,55? YES/NO 6.4 If answer is NO, no further assessment is required. Calculation of wind heeling moment: Item Symbol Unit m LA m MO Ref. Length waterline L WL m Draught at the mid-point of L WL T M m Lever between centroids of above and below water areas Calculation wind speed (17 m/s for cat C, 13 m/s for cat D) 2 Wind heeling moment = 0,53 A LV h v W or = 0,30A LV (A LV /L WL + T M ) v 2 W h v W M W m m/s Nm , Angle of heel due to wind: Item Symbol Unit m LA m MO Ref. FROM RIGHTING MOMENT CURVE: angle of heel due to wind W degrees OR ALTERNATIVELY: wind heeling moment M W divided by 9,806 Angle of heel due to wind when moment above applied Maximum permitted angle of heel during offset load test (from Worksheet 3) Downflooding angle Maximum permitted heel due to wind lesser of 0,7 O(R) and 0,7 D W kg m degrees O(R) degrees D degrees degrees Is angle of heel due to wind less than permitted value? YES/NO Design Category possible on wind heeling = Checklist Stability Power en Page 10 of 17

11 ISO CALCULATION WORKSHEET No. 8a RECESS SIZE NB: This sheet is to be completed for the Loaded Arrival Condition. Item Symbol Unit Value Recess 1 Recess 2 Angle of vanishing stability > 90? YES/NO 6.5.1a) Depth recess < 3% max breadth of the recess over >35% of periphery? YES/NO 6.5.1b) Bulwark height < B H /8 and has 5% drainage area in the lowest 25%? YES/NO 6.5.1c) Drainage area per side (m²) divided by recess volume (m³) Height position of drainage area (lowest 25% / lowest 50% / full depth) Ref d) 6.5.1d) Drainage area meets requirements 1) and 2)? YES/NO 6.5.1d) Recess exempt from size limit? YES/NO SIMPLIFIED METHOD: Use 1), 2) or 3) below. Zone 1 Zone 2 Requirement: from results below, design category possible = Average freeboard to loaded waterline at aft end of recess Average freeboard to loaded waterline at sides of recess Average freeboard to loaded waterline at forward end of recess Average freeboard to recess periphery = (F A + 2F S + F F ) / 4 Category A permitted percentage loss in metacentric height F A m F S m F F m F R m (GM T ) = 250 F R / L H Category B permitted percentage loss in metacentric height (GM T ) = 550 F R / L H Category C permitted percentage loss in metacentric height (GM T ) = F R / L H Continued on worksheet 8b Checklist Stability Power en Page 11 of 17

12 ISO CALCULATION WORKSHEET No. 8b RECESS SIZE NB: This sheet is to be completed for the Loaded Arrival Condition. Item Symbol Unit Value Ref. SIMPLIFIED METHOD: Use 1), 2) or 3) below. Zone 1 Zone 2 1) Loss of GM T used? YES / NO second moment of area of free-surface of recess SMA RECESS m metacentric height of boat at m LA GM T m Calculated percentage loss in metacentric height (GM T ) = SMARECESS m GM LA T 2) Second moment of areas used? YES / NO second moment of area of free-surface of recess SMA RECESS m second moment of area of waterplane of boat at m LA SMA WP m Calculated percentage loss in metacentric height (GM T ) = 220 SMARECESS SMAWP 3) Recess dimensions used? YES / NO maximum length of recess at the retention level l m (see ) maximum breadth of recess at the retention level (see ) b m Calculated percentage loss in metacentric height (GM T ) = 240 l b L H B H 3 0, DIRECT CALCULATION METHOD used? YES / NO percentage full of water = F/L H 6.5.3a) wind heeling moment for intended design category M W N m 6.5.3b) crew heeling moment at GZmax N m 6.5.3c) maximum swamped righting moment up to least of D V or 50 N m 6.5.3d) required margin of righting moment over heeling moment N m 6.5.3d) actual margin of righting moment over heeling moment N m 6.5.3d) design category possible 6.5.3d) Design category achieved Checklist Stability Power en Page 12 of 17

13 ISO CALCULATION WORKSHEET No. 9 HABITABLE MULTIHULLS & MOTOR SAILERS HABITABLE MULTIHULLS NB: Boats complying with the other requirements of this standard for design categories A, B or D are not considered to be vulnerable to inversion. Boats of design category C: Item Symbol Unit Value Ref. beam of hull B H m volume of displacement in the minimum operating condition cube root of above V D 1/3 V D m height of the centroid of A LV the above m MO waterline h C m actual value of h C / B H = Boat is vulnerable if: when V D 1/3 > 2,6 and h C / B H > 0,572 when V D 1/3 2,6 and h C / B H > 0,22 V D 1/ IS BOAT VULNERABLE TO INVERSION IN CATEGORY C? YES/NO If YES, boat must comply with ISO :2013 clauses 7.12 and 7.13 (use relevant ISO worksheet): Boat complies with ISO clause 7.12 buoyancy when inverted? m YES/NO YES/NO a) 6.6.1b) MOTOR SAILERS NB: Only applicable to non-sailing boats with sails of design categories A or B Item windage area plus the actual profile area, including overlaps, of the largest sail plan suitable for windward sailing in >10kt winds vertical distance between centre of A max and underwater area wind speed = 18 m/s for category A, and 14 m/s for category B 2 heeling moment due to wind = 0,53 A max h v W Boat complies with ISO clause 7.13 escape after inversion? Symbol Unit Cat A Value Cat B Ref. A max m h m v W m/s M W N m maximum righting moment of the boat at m LA up to DA RM max N m Is RM max greater than 2 M W? YES/NO Design category given Checklist Stability Power en Page 13 of 17

14 ISO CALCULATION WORKSHEET No. 10 FLOTATION TEST Annexes E and F Preparation: assumed Crew Limit (CL) = Item Unit Response Ref. Mass equal to 25 % of dry stores and equipment added? YES / NO F.2 a) Inboard or outboard engine fitted? IB / OB If inboard fitted, correct engine replacement mass fitted? YES / NO F.2 d) Assumed outboard engine power kw F.2 c) Mass fitted to represent outboard engine, controls and battery kg Tables F.1, F.2 Portable fuel tanks removed and/or fixed tanks are filled? YES / NO F.2 f) Cockpit drains open and drain plugs are fitted? YES / NO F.2 g) Void compartments which are not air tanks are opened? YES / NO F.2 i) Number of integral air tanks required to be opened Type of test weights used: lead, 65/35 brass, steel, cast iron, aluminium Material factor d Swamped stability test: Table F.3 F.3.2 Table F.4 Item Unit Response Ref. Dry mass of test weights = 6dCL but 15d kg Table F.6 Test weight hung from gunwale each of four positions in turn? YES / NO F min after swamping, boat heels less than 45? Swamped buoyancy tests: PASS / FAIL F F.3.5 Item Unit Response Ref. Load test: F.4 Design Category assessed Dry mass of test weights used kg Table F.5 5 min after swamping, boat floats approximately level with more than 2/3 of periphery above water? Flotation material and elements: PASS / FAIL F.4.3 Item Response Ref. All flotation elements comply with all the requirements? PASS / FAIL Table G.1 Design Category given: NB: boat must obtain PASS three times in above tables Checklist Stability Power en Page 14 of 17

15 ISO CALCULATION WORKSHEET No.11 DETECTION + REMOVAL OF WATER Item Unit Response The internal arrangement facilitates the drainage of water to bilge suction point(s), to a location from which it may be bailed YES / NO rapidly, or directly overboard? Is boat provided with means of removing water from the bilges in accordance with ISO 15083? YES / NO Table 2 option used for assessment: Can water in boat be detected from helm position? YES / NO Method(s) used: direct visual inspection transparent inspection panels bilge alarms indication of the operation of automatic bilge pumps other means (specify): Ref. Checklist Stability Power en Page 15 of 17

16 ISO CALCULATION WORKSHEET No. 12 SUMMARY Design Description: Design Category intended: Crew limit: Date: sheet Item Symbol Unit Value Length of hull: (as in ISO 8666) L H m Length waterline in loaded arrival condition: L WL m Mass: Empty craft mass m EC kg Maximum load m L kg 1 Light craft condition mass m LC kg Maximum load condition mass = m LC + m L m LDC kg Loaded arrival condition mass m LA kg Minimum operating condition mass m MO kg Is boat sail or non-sail? SAIL/NON-SAIL 2 Option selected: 3 Downflooding openings: Are all requirements met? YES / NO 3 Downflooding angle: (Cats A & B only) Downflooding height: Worksheet used: Unit deg basic requirement m 3 & 4 reduced height for small openings (sheet 4 only) m reduced height at outboard (options only) m increased height at bow (options 3, 4, 6 only) m Offset load test: testing for least stability: maximum heel angle degrees < 5 testing for least freeboard: heeled freeboard mm maximum crew limit for stability maximum crew limit for freeboard Resistance to waves+wind: (options 1, 3) at m LA and at m MO Requ d Rolling in beam waves and wind: ratio A 2 /A 1 1,0 6 Resistance to waves: value of GZmax degrees - value of RM 30 or RM max Nm > value of GZ 30 or GZ max m Heel due to wind: (options 2, 4, 5, 6) at m LA and at m MO 7 Is ratio A LV /(L WL B H ) 0,55? YES /NO If YES: at m LA : heel angle due to wind degrees < if required at m MO : heel angle due to wind degrees < 8 Recess size:(options 1 & 2 except category D) Simplified Method: max reduction in GM T % Direct Calculation: margin righting over heeling moment N.m m MO Actual m LA Pass/ Fail Checklist Stability Power en Page 16 of 17

17 ISO CALCULATION WORKSHEET No. 12 SUMMARY (continued) sheet Item Pass/Fail 9 Habitable Multihulls: Is Category C boat vulnerable to inversion? Complies with Part 2 clause 7.12 for inverted buoyancy? Complies with Part 2 clause 7.13 for means of escape? 9 Motor Sailers Complies with requirement for excess of RM MAX over M W? 10 Flotation test: (options 3 and 4 only) All preparations completed? Swamped stability: 5 min after swamping, does boat heel less than 45? Load test: 5 min after swamping, does boat float level with 2/3 periphery showing? Flotation elements: do all elements comply with all the requirements? 11 Detection & removal of water are all requirements satisfied? YES / NO PASS/FAIL PASS/FAIL PASS/FAIL YES / NO YES / NO YES / NO YES / NO NB: Boat must pass all requirements applicable to selected option to be given intended Design Category. Design Category given: Assessed by: Checklist Stability Power en Page 17 of 17