conductt finite elemant enalyaix to verify the atraxi eancantration factor

for a plate with a hale in it$.$Use the last digitin yaur ID

ax the a$/$b ratio. Make appropriate axaumptiona

about motarial proparties and aymmatry.

Far an infinite plate, the xalutien ia:

$\backslash$sigma max$=(1+2$ab$)\backslash$sigma max

Where e repreasenta actexa, a end b are

dimengianz of the hale$]$

Far a plete with finite width D$,$the molution ix:

Rearks Equation for Elliptical Hole Strest Corcentration Factor

K$=$a$+$c$*(2-$a$\backslash$Delta $)+\backslash$sigma $*(2*$aD$)2+$ca$*(2$ab$)3$

a$=1,00+200-($ab$)$

$$c$2-0\mathrm{.}001-0001$ V V $-2000*($ab$)$

c$3-1621-5\mathrm{.}100*+4\mathrm{.}094*($ab$)$

c$4=-2200+5204*($ab$)-4011*($ab$)$

Nate: The atrezs eaneentration factar ealeulotion far the firat problem hes a amell deteil thet

mey reaslt in a hiaher velue for atreas eaneentration then the arelytiesl aelution. The

defieition of the ateras eareentration faetor ia the retio af atreas at a asemetriebl.

diasontinuity to the naminal atreas et the lacetion if ateras coneentretion did net exiat. New,

for en infinite$-$width plete, thiz will nat be a prablem ea the naminel atreaz will be the atrezs

that you ore applying ter away fram the atreaz locetion. Sa you can was the reminal atreas ex

the atreas thet you opplied in the FEM.

But for the finite plate, we are nerrewing the width by putting

o hale in the plete, $30$the uniform acrexa at the lecetion of

the hole will alas be eleveted ea the materiel aupparting ia

thinner. Sa$,$the naminal atreas thet you ahould was in the Ke

celeuletion ix:

a$\backslash$cap n$=$a$($bb$-2$a$)$

Where D $$is the width of the plete, a iz hoif$-$width of the elliptieal hale, and a is the atreaz you

spplied in the FEA anslyaiz.

Ereh aolution ahould have:

A santaur plat of appragriete narmal atreza eland the dirsetion af applied laed

Caleulation of the thearetieal and FEA bexed atreax eaneentration fretor

Dizcumian of why the atrexa eoneentretion fretoe from the two onalyaex $($FEA and

theareties $||$gre different or aimiler.

$(5$peinta$)$Haw will the atrexa cancentration fastar be uaed in dezialn if the part ia made

of:

Ceramis like alumine

Palyethylene $($PE$)$

Steel