《工程力学（国际化课程）》课件-Module 17 Learning Outcomes

EngineeringMechanics

20xx-x-xModule17LearningOutcomesDeriveequationsforstressesoninclined

planesforthecaseofplanestressingeneralSignConventionNormalStress(+)Tension(-)CompressionShearStressShear

stress

is(+)if

it

is

in

the(+)direction

of

the

coordinateaxis

AngleCounterclockwise

angleθis(+)

asmeasuredfrompositivex

axisasreferenceStressesonInclinedPlanesforPlaneStressingeneralloadingconditionApplyEquilibriumConvertstressestoforcesStresseson

Inclined

PlanesforPlaneStress

ingeneralIngeneral,knownor

canbefound

fromStresseson

Inclined

PlanesforPlaneStress

ingeneral二

×

+c05n

2

2Apply

EquilibriumApply

Equilibriumco5D5StressesonInclinedPlanesforPlaneStressingeneralApplyEquilibriumStressesonInclinedPlanesforPlaneStressingeneralWorksheet:Thestressesonthehorizontalandverticalplanesatapointareshowninthefigurebelow.ThenormalstressonaplaneA-Aatthispointisfoundtobe80MPaintension.Find:a)Themagnitudeanddirectionoftheshearstresses,Txy=Tyxb)ThemagnitudeanddirectionoftheshearstressontheinclinedplaneA-AWorksheet:Thestressesonthehorizontalandvertical

planesat

a

point

are

shown

in

thefigure

to

the

right.Thenormal

stress

on

a

plane

A-A

at

this

point

is

found

to

be80

MPa

in

tension.Find:a)The

magnltude

and

direction

of

the

shear

stresses,Tyx=Txyb)The

magnitudeanddirectionoftheshearstressonthe

incllned

planeA-AMyemphasiswillbeonunderstandingtheprinciplesofmechanicsofm