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第1題Theresultantforceoftwointersectingforces
and
is
,i.e.,
.Themagnitudeof
mustbelargerthanthoseof
and
.第2題Aslongastwoforceshavethesamemagnitudeandareinoppositedirections,thesetwoforcesformacouple.第3題Foranycoplanarforcesystem,aslongasitsprincipalvectorisnotequaltozero,theforcesystemcanbereducedtoonesingleforce.第4題Asshownintheparallelogram,allforcesareatpointA.Inwhichfigure
FR
canbeconsideredastheresultantof
F1
and
F2?
ABCD第5題Neglecttheweightsofallmembers.InwhichcasebarBDisnotatwo-forcemember?
ABCD第6題Tostudythewholesystem,whichfree-bodydiagramiscorrect?
ABCD第7題Tostudythewholesystem,whichfree-bodydiagramiscorrect?ABCD第8題Tostudythewholesystem,whichfree-bodydiagramiscorrect?
ABCD第9題ForbarAD,whichfree-bodydiagramiscorrect?
ABCD第10題Inthisequilibriummechanism,thefree-bodydiagramofcrank
OA
canbedrawnasABCD正確答案:BCD第1題Anactionanditsreactionhavethesamemagnitudeandareinoppositedirectionsandcollinear,sotheyformanequilibriumforcesystem.第2題Allweightsandfrictionscanbeneglected.IfaforcePisappliedatthemid-pointofbarAB,inwhichcasethebarcanbeinaequilibriumstate?
ABCD第3題Arigidbodyisinequilibriumstateunderthecoplanarforcesystem.Whichsetofequilibriumequationsarenotindependentofeachother?ASF_x
=0,
SF_x
=0,
SM_A(F)=0BSM_O(F)=0,
SM_A(F)=0,
SM_B(F)=0CSM_O(F)=0,
SM_C(F)=0,
SF_y=0DSF_x=0,
SF_y=0,
SM_O(F)=0第4題Arigidbodyisinequilibriumstateunderthecoplanarforcesystem.Whichsetofequilibriumequationsarenotindependentofeachother?ASF_x=0,
SM_O(F)=0,
SM_A(F)=0BSM_O(F)=0,
SM_A(F)=0,
SM_B(F)=0CSM_A(F)=0,
SM_C(F)=0,
SF_y=0DSF_x=0,
SM_A(F)=0,
SM_B(F)=0第5題ConsidertheequilibriumofbarAB.ThecorrectmomentequationaboutpointAshouldbeASM_A(F)=m+Psinq
×
L/2+M+M_A=0BSM_A(F)=-m-Psinq
×
L/2+M=0CSM_A(F)=-mL-P
×
L/2+M+M_A=0DSM_A(F)=-m-Psinq
×
L/2+M+M_A=0第6題Considertheequilibriumofthewholesystem.Whichsetsofequilibriumequationsarecorrect?A?M_O(F)=-m-Fx_A×L×sinj
+Fy_A×L×cosj
-Q×2L×cosj
-P×
L×sinj
+F_B×3L×cosj
=0B?M_O(F)=-m-Q×2L×cosj
-P×
L×sinj
+F_B×3L×cosj
=0C?M_B(F)=-m-Fx_A×2L×sinj
-Fy_A×2L×cosj
+Q×L×cosj
=0D?M_B(F)=-m
-Fx_O×
L×sinj
-Fy_O×3L×cosj+
Q×L×cosj
=0正確答案:DB第7題Thewholesystemisinequilibriumstate.Whichsetofequilibriumequationsiscorrect?AStudy
ADB:
?M_A(F)=F_B×2L+Fy_D×L=0BStudythewholesystem:
?M_A(F)=-P×(L+r)+F_B×2L=0CStudy
CDEandthepully:
?M_D(F)=-P×r-T×(L–r)+Fx_E×L+F_BC×L×sin30°
=0DStudythewholesystem:
?M_A(F)=-P×(L+r)+F_B×2L-T×(L–r)=0第8題Aplanarmechanismconsistsofthreerigidbodiesandissubjectedtoaforcesysteminitsplane.Howmanyindependentequilibriumequationscanbecreatedatmost?A6B9C12D3第9題For
afree-bodydiagraminoneplane,whichsetsofequilibriumequationscouldbeindependentofeachother?AthreeforceequationsBtwoforceequationsandonemomentequationConeforceequationandtwomomentequationsDthreemomentequations正確答案:BCD第10題Thewholesystemisinequilibriumstate.Assumethememberforceinbar
i
(i=1,2,…5)isSi.Whichsetofequilibriumequationsiscorrect?AStudy
AB:
?M_A(F)=-q×L×L/2+S2
×L/2-P×3L/4=0BStudy
ABCDE:
?M_A(F)=-q×2L×L+S2
×L/2+S3×3L/2-P×3L/4+Fy_B×L+F_C×2L=0CStudy
BC:
?M_B(F)=-q×L×L/2–S3
×L/2–S5×L/2+F_C×L=0DStudy
ABCDE:
?M_A(F)=-q×2L×L-P×3L/4+F_C×2L=003Test第1題Themotionpathequationofapointiss=b+
ct,wherebandcareconstant.Whichstatementiscorrect?AThemotionpathmustbeastraightline.BThemotionpathmustbeacurve.CThespeedmustbeconstant.DTheaccelerationmustbezero.第2題Whichstatementiscorrectforamovingpoint?AIfat
isalwaysequalto
0andan
isnotequalto
0,thenthepointmovesalongacurvewithvaryingspeed.
BIfat
is
constant
andan
isnotequalto
0,thenthepointmovesalongacurvewithuniformlyvaryingspeed.CIfat
isnotequalto
0andan
isalwaysequalto
0,thenthepointmovesalongacurvewithvaryingspeed.DIfat
isnotequalto
0andan
isalwaysequalto
0,thenthepointmovesalongastraightlinewithconstantspeed.第3題Apointmovesalongacurvewithreducingspeed.Whichofthefourdrawingsforthevelocityandaccelerationispossible?ABCD第4題Apointmovesalongacirclewithpathcoordinate
s.Themotionequationofthepointcanbeexpressedas
.Whenthepointmovestothehighestpoint(M),the
x
and
y
coordinatesoftheaccelerationshouldbeABCD04Test第1題ThethreebarsO1A,O2BandABarepin-connectedinoneplane.Atthepositionshown,O1A//O2B.InwhichcasebarABundergoestranslationwhenbarsO1AandO2B
rotate
intheplane.ABCD第2題Ifarigidbodyundergoestranslation,thenthemotionpathofapointontherigidbodyAmustbeastraightline.Bmustbeaplanarcurve.Ccannotbeaspatialcurve.Dcouldbeaspatialcurve.第3題ThevelocitiesoftwoarbitrarypointsAandBonarigidbodyare
vA
and
vB,respectively.Whichstatementiscorrect?AIftherigidbodyisintranslation,then
?vA?=?vB?
mustbesatisfied.BIf
?vA?=?vB?
issatisfied,
thentherigidbodymustbeintranslation.CIftherigidbodyisintranslation,then
?vA?=?vB?
mustbesatisfiedandthedirectionsofthetwovelocitiescouldbedifferent.DIftherigidbodyisintranslation,then
thedirectionsof
vA
and
vB
mustbethesamebutprobably
|vA|1|vB|.第4題Ifarigidbodyisrotatingaroundafixedaxis,thenAatsomeinstant,theaccelerationsofallpointsonalineperpendiculartotheaxisofrotationarenotparalleltoeachother.Batsomeinstant,thevelocitymagnitudesofanytwopointsareproportionaltotheirverticaldistancestotheaxisofrotation.Catsomeinstant,thevelocitiesofanytwopointsareparalleltoeachother.Ditisimpossiblethatthemotionpathsofallpointsarecirculararcs.第5題Aright-anglebarisrotatingaroundafixedaxis.Thedirectionsoftheangularvelocity
ω
andangularacceleration
α
areshowninthefigures.Whichonegivesthecorrectdirectionsforvelocity,normalandtangentialcomponentsofaccelerationofpointB?ABCD第6題Inthemechanism,
,
,
.Crank
rotateswithaconstantangularvelocity
inclockwisedirection.Atthepositionshown,points
,
and
areononeverticalline.Whichequationiscorrectforthevelocity/accelerationofpoint
or
?ABCD第7題ThedisksarerotatingaroundaxespassingthroughpointO.TheaccelerationsofpointMonthedisksareshown.Whichsetofequationsarecorrect?ABCD05Test第1題Incompositemotionofapoint,thetransportvelocityandaccelerationataninstantarethevelocityandaccelerationofthepointinthemovingreferenceframecoincidingwiththemovingpoint.第2題Howmanyunknownscanbesolvedforbasedonthevectorequation
Va=Ve+Vr?
A1B2C3D4第3題ThetheoremofcompositionofvelocitiesAis
onlyvalidwhenthetransportmotionisatranslation.Bisonlyvalidwhenthetransportmotionisarotation.Cisnotvalidwhenthetransportmotionisarotation.Disvalidforanytypeoftransportmotion.第4題Inthevelocityparallelogramdrawnbasedonthetheoremofcompositionofvelocities,Athe
absolutevelocityisdiagonaloftheparallelogramformedbythetransportvelocityandrelativevelocity.Bthetransportvelocityisdiagonaloftheparallelogramformedbytheabsolutevelocityandrelativevelocity.Ctherelativevelocityisdiagonaloftheparallelogramformedbythetransportvelocityandabsolutevelocity.Dthealgebraicsumoftheprojectionsoftheabsolutevelocity,transportvelocityandrelativevelocityonanyaxisisequaltozero.第5題Inthemechanism,barOArotateswithangularvelocity
w
incounterclockwisedirection.WhichvelocityparallelogramiscorrectifpointBonbarBCDischosenasthemovingpointandthemovingreferenceframeisattachedtobarOA?ABCD第6題Inthemechanism,thediskrotateswithangularvelocity
w
incounterclockwisedirection.WhichvelocityparallelogramiscorrectifpointAonbarABischosenasthemovingpointandthemovingreferenceframeisattachedtothedisk?ABCD第7題CrankOArotateswithangularvelocity
w
andangularacceleration
α.TheaccelerationsaredrawninthefigureifpointAoncrankOAischosenasthemovingpointandthemovingreferenceframeisattachedtotheT-shapedmember.Whichequationiscorrectaccordingtothetheoremofcompositionofaccelerations?ABCD06Test第1題Points
and
areanytwoarbitrarypointsinaplanefigure.Theprojectionsofthevelocitiesofthesetwopointsonline
are
and
,respectively.
Theprojectionsofthe
accelerations
ofthesetwopointsonline
are
and
,respectively.Thenwecanget
and
.第2題Theplanarmotionofarigidbodycanberesolvedintoatranslationandarotation.Theangularvelocityandangularaccelerationwithrespecttobasepoint
are
and
,respectively.Theangularvelocityandangularaccelerationwithrespecttobasepoint
are
and
,
respectively.Whichsetofthefollowingequationsiscorrect?ABCD第3題Fortheplanarmechanismatthepositionshown,bar
isinhorizontaldirectionandbar
isinverticaldirection.Atthisinstant,thevelocityandaccelerationofslider
are
and
,respectively;theangularvelocityandangularaccelerationofbar
are
and
,respectively;
theangularvelocityandangularaccelerationofbar
are
and
,respectively.
Whichsetofthefollowingequationsiscorrect?ABCD第4題Points
and
areanytwoarbitrarypointsinaplanefigure.
Atainstant,thevelocitiesofthesetwopoints
are
and
,respectively;
The
accelerationsofthesetwopoints
are
and
,respectively.Which
of
thefollowingequationsiscorrect?ABCD正確答案:AD第5題Atainstant,themagnitudesofvelocitiesofpoints
and
inaplanefigureare
and
,respectively,and
.
Whichdrawingsareimpossibleforthevelocitydirections?ABCD正確答案:DA第6題Therelationsofvelocitiesofpoints
and
inthecrank-connectingrodmechanismareshown.Whichonecouldbecorrect?ABCD第7題Whicharethecorrectmethodstocalculatetheangularvelocity
ofbar
inthemechanism?ABCD正確答案:ABD第8題Intheplanarmechanism,thethreebars(,
and
),wheel
andslider
arepin-connectedtogether.Bar
rotatesaroundpoint
.Wheel
rotateswithoutslippingonthehorizontalsurface.Slider
movesinverticaldirection.Whichstatementsarecorrect?APoint
istheinstantaneouscenterforvelocitiesofwheel
.BPoint
istheinstantaneouscenterforvelocitiesofbar
.CPoint
istheinstantaneouscenterforvelocitiesofbar
.DPoint
istheinstantaneouscenterforvelocitiesofbar
.正確答案:ACD第9題Intheplanarmechanism,thesmallgear
rotateswithoutslippingonthebigfixedgear
.Crank
rotatesaroundpoint
.Bar
ispin-connected
togear
andbar
.Whichstatementsarecorrect?AThecontactpoint
ofthetwogearsistheinstantaneouscenterforvelocitiesofgear
.BPoint
istheinstantaneouscenterforvelocitiesofgear
.CPoint
istheinstantaneouscenterforvelocitiesofbar
.
DPoint
istheinstantaneouscenterforvelocitiesofbar
.正確答案:AD第10題Aplanefiguremovesinitsplane.Thevelocityvectorsoftwodifferentpointsontheplanefigurearethesameatainstant.Whichstatementsarecorrect?AAllpointsintheplanefigurehavethesamevelocityatthisinstant.BAllpointsintheplanefigurehavethesameaccelerationatthisinstant.CTheangularaccelerationoftheplanefiguremustbezero,buttheangularvelocitymaynotbezeroatthisinstant.DTheangularvelocityoftheplanefiguremustbezero,buttheangularaccelerationmaynotbezeroatthisinstant.正確答案:AD07Test第1題A
particleissubjectedtoforcesof
,
,
?
and
,andtheresultantoftheseforcesis
.
Whichstatementiscorrect?AThemovingdirectionoftheparticlemustbethesameasthatoftheresultantforce
.BThegreatertheresultantforce
,thegreaterthespeedoftheparticle.CThegreatertheresultant
force
,
thegreaterthe
acceleration
ofthe
particle.DTheaccelerationdirectionoftheparticlemayormaynotbethesameasthatoftheresultantforce
.第2題Acarpassesthroughpoints
,
and
onaroad.Thepressuresontheroadfromthecar
are
,
and
,respectively,thenABCD第3題Aspherewithweight
issuspendedbytwocables
and
.Basedonequilibriumanalysis,thetensileforceinthetwocablesshouldbe
.Ifcable
iscutsuddenly,thetensileforceincable
willbe
atthisinstant.Whichstatementiscorrect?ABCD第4題Asshown,acannonballwithmassmisfiredwithinitialvelocity
andemissionangle
.Theairresistanceisproportionaltothe
cannonball
velocity,i.e.,
,where
isaconstant.ThedifferentialequationofmotionofthecannonballcanbeABCD08Test第1題Fortwoparticleswithmassesof
and
,theirspeedsatsomeinstantare
and
,respectively.Whichstatementiscorrect?AIf
and
,themomentaofthesetwoparticlesmustbethesame.BIf
and
,themomentaofthesetwoparticlescanalsobethesame.CIfand
,themomentaofthesetwoparticlescanalsobethesame.DIfand
,themomentaofthesetwoparticlesmustbedifferent.第2題Amovingrigidbodywithmass
hasamomentum
andmasscentervelocity
,then
shouldbesatisfied.第3題Threehomogeneousdisks
,
and
havethesameradius
,thesameweight
andthesameangularvelocity
.Asshown,disk
rotatesarounditsmasscenter;disk
rotatesaroundafixedaxisonitsedge;diskrotateswithoutslippingonahorizontalsurface.Ifthemomentaofthethreedisksare
,
and
,respectively,thenABCD第4題Ahomogeneousbar
hasaweight
.Oneendofthebarcontactswiththesmoothgroundandtheotherendissuspendedbyacable.Ifthecableiscutatthepositionshown(),thenAThemotionpathofthemasscenter
willbeacirculararcduringthesubsequentmotion.B
whenthebarfallstotheground.C
whenthebarfallstotheground.D
whenthebarfallstotheground.第5題Ahomogeneousdiskrestsonasmoothhorizontalsurface.Ifacoupleformedby
and
isappliedonthedisk,thereshouldbenodisplacementforthediskcenter.第6題Whichstatementiscorrect?AThemomentaofasystemofparticlesmustbelargerthanthemomentumofoneparticleinthesystem.BThemomentumofeachparticleinasystemisequaltozero,thenthemomentaofthewholesystemmustbeequaltozero.CThemomentumofeachparticleinasystemisnotequaltozero,thenthemomentaofthewholesystemmustnotbeequaltozero.DThemagnitudeofthemomentumofaparticlesystemmustbeequaltothesummationofthemagnitudesofthemomentaofallparticlesinthesystem.09Test第1題Ahomogeneousdiskwithmass
M
andradius
R
isrotatingaroundanaxispassingthroughpoint
O.TheangularmomentumofthediskaboutthisaxisshouldbeABCD第2題Ahomogeneousdiskwithmass
M
andradius
R
isrotatingwithoutslippingalonganinclinedplane.Thevelocityofthediskcenteris
V.Theangularmomentumofthediskabouttheitscontactpoint
C
withtheplaneshouldbeABCD第3題Asshown,
-axispassesthroughthemasscenterofonebodywithmass
m.
-and
-axesareparallelto
-axis.Thedistancesbetween
-and
-axes,
-and
-axes,and
-and
-axesare
a,
b
and
d,respectively.Basedon
theparallel-axistheoremformassmomentofinertia,wecangetABCD第4題Aslenderbarwithmass
iscomposedoftwohomogeneoussegments,whicharemadeofsteelandwood,respectively.Themassmomentofinertiaofbarabout
-,
-and
-axesare
,
and
,respectively.ThenwecangetABCD第5題Thetwowheels
and
havethesamemassmomentofinertia.Ablockwithweight
issuspendedonwheel
andaforce
isappliedonwheel
.
.Iftheangularaccelerationsofthetwowheelsare
and
,respectively,then
mustbeequalto
.第6題Thehomogeneouspullyhasamass
andradius
.BlockAofmass
andblock
ofmass
aresuspendedonthepullythroughaweightlesscable.Iftheangularacceleration
ofthepullyisinclockwisedirection,thenthedifferentialequationofrotationofthepullyshouldbeABCD第7題ThetwohomogeneousringsinFigs.(a)and(d)andthetwohomogeneousdisksinFigs.(b)and(c)havethesameweight
andradius
.Force
isappliedinFigs.(a)and(b).Amoment
isappliedinFig.(c).Ablockwithweight
issuspendedinFig.(d).Whichstatementiscorrect?ATheangularaccelerationoftheringinFig.(a)isequaltothatofthediskinFig.(b).BTheangularaccelerationoftheringinFig.(a)isequaltothatofthediskinFig.(c).CTheangularaccelerationoftheringinFig.(a)isequaltothatoftheringinFig.(d).DTheangularaccelerationofthediskinFig.(b)isequaltothatoftheringinFig.(d).第8題AhomogeneousdiskCwithweight
P
andradiusrisrotatingaroundpointOwithangularvelocity
w.TheeccentricityisOC=e.TheangularmomentumofthediskaboutpointOshouldbeABCD10Test第1題The
undeformed
lengthofaspring
is
.Oneendofthespringisfixedandtheotherendisattachedtoablock.Whentheblockmovesfrom
point
to
,frompoint
to
andfrompoint
to
,theworkdonebythespringforceis
,
and
,respectively.Whichofthefollowingiscorrect?ABCD第2題Asmallspheremovesfrompoint
topoint
alongacircularpathinaverticalplane.Ifitmovesalongpath
,theworkdonebyitsgravityforce
is
.Ifitmovesalongpath
,theworkdonebyitsgravityforceis
.ThenwecangetABCD第3題Ahomogeneousbarhasmassmandlength
.Atthepositionshown,theangularvelocityofthebaris
.Thevelocitiesofpoints
,
and
are
,
and
,respectively.Point
istheinstantaneouscenterforvelocitiesofthebar.ThekineticenergyofthebaratthisinstantshouldbeABCD第4題Asmallsphere
withmassmmovesfromthesameheighttothegroundalongthreedifferentpaths.Itisassumedthattheinitialvelocityiszeroandallfrictionscanbeneglected.Ifthemagnitudesofvelocitiesofthespherewhenitreachesthegroundare
,
and
,respectively,thenABCD第5題Twoblocks
and
connectedbyaspringareputonahorizontalsmoothsurface.Thespringiscompressedandthenreleasedfromrestsuddenly.Ifthekineticenergyandmomentumofthesystemare
and
,respectively,thenABCD第6題Asmallspherewithmassmmovesalongasmoothsemi-circularpath
.Theinitial
velocity
pointsdownward.Whichofthefollowingstatementsarecorrect?AThemomentaofthespherearethesameatpoint
andpoint
.BThemomentaofthesphereare
differentat
point
andpoint
.CThe
kineticenergies
ofthesphereare
thesameatpoint
andpoint
.DThekineticenergiesofthesphereare
differentat
point
andpoint
.正確答案:BC第7題Asmallspherewithmassmmovesalongasmoothsemi-circularpath
.Theinitialvelocity
pointsdownward.Whichofthefollowingstatementsarecorrect?AThemomentumisnotconservedduringthemotion.BThe
angularmomentumaboutpoint
is
conservedduringthemotion.CTheangularmomentumaboutpoint
is
notconserved
duringthemotion.DThemomentum
is
conservedduringthemotion.正確答案:AC第8題Thekineticenergyofarigidbodyinplanemotioncanbedeterminedbyone-halfoftheproductofitsmassandthesquareofits
velocityatthecentroid.第9題Theinternalforceof
a
particlesystemcanchangethekineticenergyoftheparticle
system.第10題Thethreehomogeneousrigidbodies(ring,diskandbar)havethesamemass.Theyareallreleasedfromrestfromthedashlinepositions,i.e.,theirmasscentersandpoint
areinahorizontalline.Ifthevelocitiesoftheirmasscentersare
,
and
,respectively,whentheymovetothelowestposition,thenABCD11Test第1題Aprincipalvector
andprincipalmoment
canbeobtainedbyreducinganinertialforcesystemtoonepoint(reductioncenter).Whichstatementsarecorrect?ATheprincipalvector
dependsonthepositionofthereductioncenter.BTheprincipalmoment
dependsonthepositionofthereductioncenter.CTheprincipalvector
doesn’tdepend
onthepositionofthereductioncenter.DTheprincipalmoment
doesn’tdependonthepositionofthereductioncenter.正確答案:BC第2題Twoblockswith
weights
and
aresuspendedonahomogeneouspulleywithweight
byaweightlesscable.
.Amoment
isappliedonthepulleyandthewholesystemisinastationarystate.Thecableforcesonblocks
and
are
and
,respectively.Ifthemoment
isremovedsuddenly,then
mustbelargerthan
providedthereisnorelativeslidingbetweenthecableandthepulley.第3題Underahorizontalforce
,twoblockswith
masses
and
()aremovingonasmoothsurface.ThetwoblocksinFig.(a)areacceleratingandthetwoblocksinFig.(b)aredecelerating.Iftheforceexertedonblock
byblock
is
,
then
mustbelargerthan
.第4題Aparticleissubjectedtoitsgravityforceonly.Theinertialforceis
whentheparticleisinfreefallingmotion.
Theinertialforceis
whentheparticleis
thrownupright.WecanhaveABCD第5題Under
aforce
appliedatpoint
,thetrolleywithweight
ismovingwithacceleration
a
onahorizontalsurface.Point
isthemasscenterofthetrolley.By
D’Alembert’s
Principle,theinertialforceonthetrolleyshouldbeABCD第6題Ahomogeneousslenderbar
withlength
andmass
rotatesaroundpoint
.Atthepositionshown,bar
has
an
angularvelocity
and
angularacceleration
.TheinertialforcesystemcouldbeABCD第7題Ahomogeneous
wheel
with
mass
andradius
rotates
withoutslippingonahorizontalsurface.Point
istheinstantaneouscenterforvelocities
ofthewheel.The
acceleration
ofthewheelcenter
is
.
TheinertialforcesystemcouldbeABCD正確答案:BD12Test第1題Basedontheisotropyassumption,inalldirectionsthematerialhasthesameAstressBdeformationCdisplacementDmechanicalproperties第2題Whichstatementiscorrect?AThe
internalforce
on
acrosssectionofabaristhe
algebraicsummationofthestresseson
thiscrosssection.BThestressonacrosssectionofabaristheaverageinternalforceonthiscrosssection.
CStressistheintensityoftheinternalforce.DTheinternalforcemustbelargerthanthestress.第3題TherelationshipbetweeninternalforceandstressisthatATheinternalforceissmallerthanthestress.BTheinternalforceis
thealgebraicsummationofthe
stress.
CTheinternalforceisavectorandthestressisascalar.
DThestressistheinternalforceperunitarea.
第4題Themagnitudeoftheinternalforceofabardependsonnotonlytheexternalforcebutalsotheshapeofitscrosssection.第5題Thestressistheintensityoftheinternalforceperunitarea.13Test第1題Thevolumeelementdeformsfromthesolidlinepositiontothedashlineposition.Theshearstrainmustbe
.14Test第1題Hooke’slawcanbeusedforAductilematerialsonly.
Baxialtensiononly.Cacasewiththestresssmallerthantheproportionallimit.Dacasewiththestresssmallerthantheyieldingstress.第2題Afterstrainhardening(coldhardening),thematerialshowsAhigherproportionallimitandlowerductility.Bhigher
proportionallimit
andductility.Clowerproportional
limitand
higherductility.Dlowerproportional
limitand
ductility.15Test第1題The
crosssection
areaofabarintensionis
A.Thenormalstress
ontheinclinedplanewithinclinedangle
shouldbeABCD第2題Theaxialloadonsectionn-nofthebarshouldbeA-3PB-4PC4PD8P第3題Forabarunderaxialtension,thesectionswiththemaximumnormalstressandmaximumshearstressareAthecrosssectionandinclinedsectionwithinclined
angle45°,respectively.Bboththecrosssections.Ctheinclinedsectionwithinclinedangle45°andcrosssection,
respectively.Dboththe
inclined
sections
withinclinedangle45°.第4題ThemaximumtensileforceinthebarshouldbeA12KNB20KNC8KND13KN第5題Ifthetotalelongationofabariszero,thentheremustbenodisplacementforeachcrosssectionofthebar.第6題Twobarsmadeoftwodifferentmaterialshavethesamelengthandcrosssectionarea.Iftheaxialloadsinthetwobarsarethesame,thenthestressesontheircrosssectionsmustbealsothesame.第7題Onewoodenbarandonesteelbarhavethesamecrosssection.Iftheexternalforcesonthesetwobarsarethesame,thentheinternalforcesinthesetwobarsshouldbealsothesame.第8題Thetensilerigidityofthebarwithlength2l
is
EA.ThetotalelongationofthebarshouldbeABCD第9題Thebarissubjectedtoaforceasshown.Oneendofthebarisfixed.Whichstatementiscorrect?AThereisnodeformationinsegmentAB.BThereisnodeformationinsegment
BC.CThereisnodisplacementforanycrosssectioninsegment
AB.DThereisnodisplacementforanycrosssectioninsegment
BC.第10題ThebarwithaslotinsegmentBCissubjectedtotensileloading.WhichofthefollowingiscorrectfortheaxialforcesandstressesinsegmentABandBC?ABCDNoneoftheseiscorrect.16Test第1題Ahollowshaftissubjectedtoanexternaltorque.Whichofthefollowingfiguresiscorrectfortheshearstressdistributiononthecrosssectionoftheshaft?ABCD第2題Whichiscorrectforthesignsoftheinternaltorquesintheshaftshown?ATheinternaltorqueispositiveinsegment
AB
andnegativeinsegment
BC.BTheinternaltorqueis
negativein
segment
AB
and
positivein
segment
BC.CTheinternaltorquesinsegments
AB
and
BC
arepositive.DTheinternaltorquesinsegments
AB
and
BC
are
negative.第3題ThefactorsaffectingthemagnitudeoftheangleoftwistofacircularshaftincludeAtheinternaltorque,materialandlengthoftheshaft.Btheinternaltorque,
length
and
torsionalrigidity(GJ)of
the
shaft.Ctheinternaltorque,materialand
crosssectiongeometry
ofthe
shaft.Dthe
internaltorque,lengthandcrosssectiongeometry
of
theshaft.第4題TheinnerandouterdiametersofahollowcircularshaftaredandD,
respectively.
a=d/D.ThepolarmomentofinertiaoftheshaftshouldbeABCD第5題Asolidcircularshaftissubjectedtoanexternal
torque
Mn.Iftheshaftisinlinearelasticregion,theshearstressdistributiononitscrosssectionshouldbeABCD第6題Twocircularshaftswiththesamelengtharesubjectedtothesameexternaltorque.Thediameterofthefirstshaftisonehalfofthatofthesecondone.TheratioofthemaximumshearstressesinthesetwoshaftsshouldbeA2:1B4:1C8:1D16:1第7題Ifacircularshaftisundertorsion,thenthereshouldbeonlyshearstressesandnonormalstressesonitscrosssection.第8題Ifacircularshaftisundertorsion,then
allpointshavingthesamedistancetothecrossse
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