Chapter 6 Jms

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    6.1 Unique Aspects of Ship Structures

    Ships are BIG!

    Three dimensional complex shape.

    Multiurpose Support Structure and S"in.

    Ships see a #ariet$ of d$namic and randomloads.

    Ships operate in a %ide #ariet$ ofen#ironments.

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    6.& Ship Structural 'oad

    (istri)uted *orces + %ei,ht - )uo$anc$

    G

    B

    WL

    s.

    B*

    < Floating Body in Static Equilibrium>

    Resultant weight force due to

    the distributed weight

    Result Buoyancy force due to

    the distributed buoyancy

    - Two forces are equal in magnitude.- The centroid of the forces are vertically in line.

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    (istri)uted ei,ht

    - "eight of shi# can be #resented as a distributed force.- $ase % & Uniformly distributed weight

    2 L!ft

    barge

    2 L!ft

    50 ft

    Bs*1//'T0/ft

    ft

    &'T. ===

    (istri)uted *orces

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    (istri)uted ei,ht

    2 L!ft

    barge

    ' L!ft

    50 ft

    Bs *1//'T1/ft

    ft

    1'T1/ft

    ft

    &'T1/ft

    ft

    2'T1/ft

    ft

    &'T1/ft

    ft

    1'T. ==++++=

    - $ase %% &Non-uniformly distributed weight

    2 L!ft

    ( L!ft

    2 L!ft' L!ft

    10ft

    wB! B"L #distri$uted load ! B"length%wB! 100LT ! & LT"ft 50ft

    (istri)uted *orces

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    Shear stress'resent at 'oints () *) +) , T due to un$alanced forces

    at to' and $ottom.

    Load diagramcan $e drawn $y summing u' the distri$uted force

    vertically. ( L!ft

    2 L!ft

    ' L!ft2 L!ft 2 L!ft

    ' L!ft

    1LT"ft&LT"ft

    1LT"ft

    ( * + , T

    Shear Stress

    Load /iagram ( * + , T

    (

    Shear Force at #oint )

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    aimum shear stresses occur where the load diagram crossesthe -ais #or equals 0%.

    ' L!ft ' L!ft

    2 L!ft

    (

    * +

    , T

    -10 LT

    210 LT

    Load/iagram

    ,hear/iagram

    Shear Stress

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    3o% to 4educe Shear Stress of ship

    To chan,e the under%ater hull shape so that )uo$anc$

    distri)ution matches that of %ei,ht distri)ution.

    The step li"e shape is #er$ inefficient %ith re,ard to

    the resistance.

    Since the loadin, condition chan,es e#er$ time5 this method

    is not feasi)le.

    To concentrate the ship hull strength in an area %here lar,e

    shear stress exists . This can )e done )$

    using higher strength material

    increasing the cross sectional area of the structure.

    Shear Stress

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    'on,itudinal Bendin, Stress

    'on,itudinal Bendin, Moment and Stress

    Une#en load distri)ution %ill produce a lon,itudinal

    Bending Moment.

    Bendin, Moment

    Buo$ant force concentrates at )o% and stern.

    ei,ht concentrates at middle of ship.

    The lon,itudinal )endin, moment %ill create a si,nificant

    stress in the structure called bending stress.

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    A ship has similar )endin, moments5 )ut the

    )uo$anc$ and man$ loads are distri)uted o#er the

    entire hull instead of ust one point.

    The up%ard force is )uo$anc$ and the do%n%ard

    forces are %ei,hts.

    Most %ei,ht and )uo$anc$ is concentrated in themiddle of a ship5 %here the #olume is ,reatest.

    'on,itudinal Bendin, Stress

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    Sagging

    *ogging

    Bendin,

    Moment

    BowStern Keel : tension

    Weather deck : compression

    Bendin,

    Moment

    BowStern

    Keel : compression

    Weather deck : tension

    'on,itudinal Bendin, Stress

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    Sa,,in, - 3o,,in, on a#es

    Sagging condition

    *ogging condition

    Trough3rest

    Trough3rest

    3rest

    Trough

    Buoyant force is greater at wa+e crests.

    'on,itudinal Bendin, Stress

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    IM y=

    here7M, Bending -oment

    I , 2nd-oment of area of the cross section

    y , ertical distance from the neutral a/is

    , tensile 01 or com#ressi+e03 stress

    The longitudinal bending moment creates a significant

    structural stress called the bending stress

    'on,itudinal Bendin, Stress

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    8uantif$in, Bendin, Stress

    $om#ression

    ension

    Sagging condition

    Neutral !is

    y

    4

    B

    4

    B

    I

    M y=

    Bendin, Stress 7

    M& Bending -oment

    I & 2nd-oment of area of the cross section

    y & ertical distance from the neutral a/is

    & tensile 01 or com#ressi+e03 stress

    y

    'on,itudinal Bendin, Stress

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    8uantif$in, Bendin, Stress

    *ogging conditiony

    $om#ression

    ension

    Neutral !is

    4

    B

    4

    B

    9eutral Axis& geometric centroid of the cross section or

    transition between com#ression and tension

    'on,itudinal Bendin, Stress

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    :xample 7Bendin, Stress of Ship 3ull

    "hip could be at sagging condition e#en in calm water $

    %enerally& bending moments are largest at the midship area$

    eutral4is

    Bow,tern

    4

    B

    /ec6

    7eel

    B

    4

    4ec5 & $om#ression

    6eel & ension

    Tic6nesscrosssection

    'on,itudinal Bendin, Stress

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    :xample 7Bendin, Stress of Ship 3ull

    eutral 4is

    Bow,tern

    4

    B

    /ec6

    7eel

    B

    4

    Tic6nesscrosssection

    y

    7eel

    This shi' has lager $ending

    stress at 6eel than dec6.

    .4.

    'on,itudinal Bendin, Stress

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    4educin, the :ffect of Bendin, stress

    Bendin, moment are lar,est at amidship of a ship.

    Ship %ill experience the ,reatest )endin, stress at the dec"

    and "eel.

    The )endin, stress can )e reduced )$ usin,7 hi,her stren,th steel

    lar,er cross sectional area of lon,itudinal structural elements

    'on,itudinal Bendin, Stress

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    3ull Structure Interaction

    Bendin, stress at the superstructure is lar,e )ecause of its

    distance from the neutral axis.

    In Sa,,in, or 3o,,in, condition5 se#ere shear stresses )et%een

    dec" of hull and )ottom of the superstructure %ill )e created.

    This shear stresses %ill cause crac" in area of sharp corners

    %here the hull and superstructure connect.

    This stress can )e reduced )$ an Expansion Joint

    'on,itudinal Bendin, Stress

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    Compression orTension on deck

    Expansion Joint

    By using Expansion Joint, the super structure will be

    allowed to flex along with the hull.

    Compression or

    Tension on bottom

    'on,itudinal Bendin, Stress

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    ;ther 'oads

    eapon 'oads

    'oadin, due to explosion of %eapons or shoc"

    impact,)oth in air and under%ater

    9a#al ?essel should resist these forces

    9a#al #essel %ill often ,o throu,h a series of shock

    trials durin, initial sea trials.

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    Example Problem

    !""ft long box shaped barge has an empty weight distribution of#$T%ft. &hat is the total buoyant force floating the empty bargein calm water'

    The barge is then loaded with the additional cargo weightdistribution shown abo(e. &hat is the buoyant force distributionin calm water for the loaded barge'

    t which point, ), B, C or *+ is the barge under the greatest shear

    stress'

    s the barge in a hogging or sagging condition'

    f a wa(e hits which peaks at the center of the barge and troughs at

    the ends, is the condition abo(e mitigated or exacerbated'

    100ft

    &0ft &0ft 80ft 10ft &0ft

    &LT"ft

    9LT"ft

    8LT"ft

    4 B 3 /

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    Example nswer

    -B Total Empty!""ft/#$T%ft#""$T

    -B Total $oaded#""$T0#"ft/#$T%ft0

    1"ft/2$T%ft0!"ft/1$T%ft13"$T

    -B *ist4n13"$T%!""ft1.3$T%ft

    Point 5 *6 $oad *iagram Crosses 78 xis

    Ends curling up 8 9agging

    ):itigated by pro(iding additional support at center of barge+

    100ft

    &0ft &0ft 80ft 10ft &0ft

    &LT"ft

    9LT"ft

    8LT"ft

    4 B 3 /

    1.:LT"ft 1.:LT"ft

    0.1LT"ft &.1LT"ft 1.1LT"ftLoad /iagram

    6 @ Shi St t

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    6.@ Ship Structure

    Structural omponents

    Girder

    3i,h stren,th structure runnin, lon,itudinall$

    eel

    'ar,e center plane ,irder

    4uns lon,itudinall$ alon, the )ottom of the ship

    latin,

    Thin pieces enclosin, the top5 )ottom and side of structure

    ontri)utes si,nificantl$ to lon,itudinal hull stren,th 4esists the h$drostatic pressure load =or side impact>

    *rame

    A trans#erse mem)er runnin, from "eel to dec"

    4esists h$drostatic pressure5 %a#es5 impact5 etc

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    Structural omponents

    *loor

    (eep frame runnin, from the "eel to the turn of the )il,e

    *rames ma$ )e attached to the floors

    =*rame %ould )e the part a)o#e the floor>

    'on,itudinal

    Girders runnin, parallel to the "eel alon, the )ottom

    Intersects floors at ri,ht an,les

    ro#ides lon,itudinal stren,th

    Ship Structure

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    Ship Structure

    Structural omponents

    Strin,er

    Girders runnin, alon, the sides of the ship

    T$picall$ smaller than a lon,itudinal

    ro#ides lon,itudinal stren,th

    (ec" Beams

    Trans#erse mem)er of the dec" frame

    (ec" Girder

    'on,itudinal mem)er of the dec" frame

    =dec" lon,itudinal>

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    * i S t

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    *ramin, S$stem

    Increase shipCs stren,th )$7

    Addin, framin, elements more densel$ Increasin, the thic"ness of platin, and structural

    components

    All this %ill increase cost5 reduce space utiliDation and

    allo% less missionrelated equipment to )e added

    ;ptimi

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    'on,itudinal *ramin, S$stem

    'on,itudinal *ramin, S$stem 7

    'on,itudinals are spaced frequentl$ )ut shallo%er

    *rames are spaced %idel$

    eel5 lon,itudinals5 strin,ers5 dec" ,irders5 plates

    Primary roleof lon,itudinal mem)ers 7 to resist the

    longitudinal bending stress due to sagging and hogging.

    A t$pical %a#e len,th in the ocean is @//ft. Ships of this len,th

    or ,reater are li"el$ to experience considera)le lon,itudinal )endin, stress.

    Ship that are lon,er than a)out @//ft =lon, ship> tend to ha#e a

    ,reater num)er of lon,itudinal mem)ers than trans#erse

    mem)ers.

    *ramin, S$stem

    * i S t

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    Trans#erse *ramin, S$stem

    Trans#erse *ramin, S$stem 7

    'on,itudinals are spaced %idel$ )ut deep.

    *rames are spaced closel$ and continuousl$

    Trans#erse mem)ers 7 frame5 floor5 dec" )eam5 platin,

    Primary roleof trans#erse mem)ers 7 to resist h$drostatic

    loads. Ships shorter than @//ft and su)mersi)les

    *ramin, S$stem

    * i S t

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    om)ined *ramin, S$stem

    om)ination of lon,itudinal and trans#erse framin, s$stem

    urpose7

    To optimiDe the structural arran,ement for the expected

    loadin,

    To minimiDe the cost

    T$pical com)ination 7 'on,itudinals and strin,ers %ith shallo% frame

    (eep frame e#er$ @rd or 2thframe

    *ramin, S$stem

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    ( )l B tt

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    (ou)le Bottoms

    T%o %aterti,ht )ottoms %ith a #oid space in )et%een to %ithstand the upard pressure

    bending stresses

    bottom damage by grounding and underater shock.

    The dou)le )ottom pro#ides a space for storin,

    fuel oil

    )allast %ater - fresh %ater

    smooth inner )ottom %hich ma"e it easier to arran,e car,o -

    equipment and clean the car,o hold.

    t ti ht B l"h d

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    aterti,ht Bul"heads

    'ar,e )ul"head %hich splits the the hull into separate sectionsrimar$ role

    !tiffening the ship

    "educing the effect of damage

    The careful positionin, the )ul"heads allo%s the ship to fulfill

    the dama,e sta)ilit$ criteria.

    The )ul"heads are often stiffened )$ steel mem)ers in the#ertical and horiDontal directions.

    6 2 M d f St t l * il

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    6.2 Modes of Structural *ailure

    1. Tensile or ompressi#e Eield

    "low plastic deformation of a structural component due to an

    applied stress greater than yield stress

    o a+oid the yield7 Safety factors are considered for shi#

    constructions.

    "afety factor ' ( or )#Maximum stress on ship hull ill be $%& or $%' of yield

    stress.(

    M d f St t l * il

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    &. Buc"lin,

    "ubstantial dimension changes and sudden loss of stiffness

    caused by the compression of long column or plate

    Buc5ling load on shi# & cargo7 wa+es7 im#act loads7 etc.

    E/&

    )eck buckling * by sagging or hogging, loading on deck !ide plate buckling * by a+es, shock, groundings

    column bucking * by excessi+e axial loading

    Modes of Structural *ailure

    M d f St t l * il

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    @. *ati,ue *ailure

    The failure of a material from repeated application of stresssuch as from +ibration

    :ndurance limit 7 stress )elo% %hich %ill not fail from fati,ue

    *ati,ue failure is affected )$ material composition =impurities5 car)on contents5

    internal defects>

    surface finish

    en#ironments =corrosion5 salinities5 sulfites5 moisture5..>

    ,eometr$ =sharp corners5 discontinuities>

    %or"manship =%eldin,5 fitup>

    *ati,ue ,enerall$ createscracks on the ship hull.

    Modes of Structural *ailure

    M d f St t l * il

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    2. Brittle *racture

    sudden catastrophic failure ith little or no plastic deformation

    Brittle fracture depends on

    Material7 'o% tou,hness - hi,h car)on material

    Temperature7 Material operatin, )elo% its transition temperature

    Geometr$7 ea" point for crac" 7 sharp corners5 ed,es

    T$pe F 4ate of 'oadin,7 TensileFimpact loadin,s are %orse

    Modes of Structural *ailure

    M d f St t l * il

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    0. reep

    The slo plastic deformation of material due to continuously

    applied stresses that are belo its yield stress.

    reep is not usuall$ a concern in ship structures.

    Modes of Structural *ailure

    Example Problem6

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    Example Problem6dentify the following ship structural elements6

    ;;;;;;;;;;;;

    9trength :embers ;;;;

    ;;;;;;;;;;

    ;;;;;;; ;;;;;;;;;;

    ;;;;;

    ;;;;;;;;;;

    9trength :embers ;;;;;

    ;;;;;

    ;;;;;;;;; ;;;;;;;

    Example nswer6

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    Example nswer6dentify the following ship structural elements6

    $ongitudinal9trength :embers

    =eel

    $ongitudinal

    9tringer

    *eck >irder

    Plating

    Trans(erse

    9trength :embers

    -rame

    -loor

    *eck Beam

    Plating

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    Example Problem-or the following components, what is the

    primary failure mode of concern and how do

    we address that concern'

    Thick low carbon steel nuclear reactor pressure(essel

    luminum airplane wings where they ?oin the

    fuselage

    &eapons handling gear

    9teel water tower legs

    Example nswer

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    Example nswerThick low carbon steel nuclear reactor pressure (essel

    Brittle -racture

    ;perate primarily abo(e transition temperature :inimi

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    e(iew of Chapters 28D

    Chapter 26 9tability

    Chapter 6 Properties of Fa(al :aterials

    Chapter D6 9hip 9tructures

    e(iew EAuation 5 Con(ersion 9heet

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    Chapter 26 9tability

    nternal ighting :oment

    Cur(e of ntact 9tatical 9tability

    9tability Characteristics from Cur(e Effect of ertical :otion of > on >G

    Effect of Trans(erse :otion of > on >G

    *amage 9tability -ree 9urface Correction

    :etacentric @eight and 9tability

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    Chapter 2 +!G< !G< B G (ositive) eutral) egative ,ta$ility

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    Cur(e of ntact 9tatical 9tability

    +ange of ,ta$ility

    a +ighting 4rm #G

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    Chapter 6 Properties of Fa(al :aterials

    Classifying $oads

    9tress and 9train

    9tress89train *iagrams and :aterialBeha(ior

    :aterial Properties

    Fon8*estructi(e Testing

    ;ther Engineering :aterials

    Ch t

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    Chapter ,tressC !"4 #l$"inD) 'si or 6si%

    ElongationCe!L-L0F ,trainC !e"L0#ft"ft% Elastic odulusC E!"#l$"inD) 'si) 6si%

    ,tress

    ,train

    T,

    ,lo'e!E

    racture(lastic +egion

    Elastic

    +egion,train

    ardeningy

    ,tress",train /iagram

    aterial

    Toughness

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    Chapter

    *uctile to Brittle

    TransitionC

    -atigue Beha(iorC

    3har'y

    #Hm'act%

    Toughness

    #in-l$s%

    Tem'erature#I%

    TransitionTem'erature

    Brittle

    Behavior

    /uctile

    Behavior ,tress

    #'si%

    3ycles

    Endurance Limit

    ,teel

    4luminum

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    Chapter

    F*T External6 T, PT, :T

    nternal6 T, HT, Eddy Current ;p tests6 @ydro, &eight%$oad

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    Chapter D6 9hip 9tructures

    HniAue spects of 9hip 9tructures

    9hip 9tructural $oads

    9hip 9tructure

    :odes of -ailure

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    Chapter D

    *istributed -orces

    *istributed &eight

    *istributed Buoyancy

    *istribution/*istanceTotal !$T%ft/Dft02$T%ft/1ft!I$T

    #$T%ft/3ft!I$T

    9hear 9tress $ocali

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    Chapter D6 9hip 9tructural Components

    $ongitudinal 9trength

    :embers =eel

    $ongitudinal

    9tringers *eck >irders

    Plating

    Trans(erse 9trength

    :embers -rame

    -loor

    *eck Beams Plating

    ,tanchion

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    Chapter D6 :odes of 9tructural -ailure

    Tensile or Compressi(e ield Exceed ield 9tress

    Buckling

    Bowing induced bylongitudinal load on

    slender structure

    ,tress

    ,train

    y

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    Chapter D

    -atigue -ailure

    Brittle -racture :aterial

    Temperature >eometry

    ate of $oading

    ,tress

    #'si%

    3ycles

    Endurance Limit

    ,teel

    4luminum

    /uctile

    Brittle

    ,tress

    ,train

    3har'y

    #Hm'act%

    Toughness#in-l$s%

    Tem'erature#I%

    Transition

    Tem'erature

    Brittle

    Behavior

    /uctile

    Behavior

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    9ummary

    EAuation 9heet

    ssigned homework problems

    @omework problems not assigned Example problems worked in class Example problems worked in text