Basf snap_fits.pdf
Transcript of Basf snap_fits.pdf
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BASF P la s tic s
Snap-Fit
De s ign Manu al
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Topic Part
Intro d uc tion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Intro d uc tion
S na p- Fit Des ign App lica tion s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I
Typ es of Sn ap -Fits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . II
Sn ap -Fit Bea m Des ign Us ing C las sica l Bea m Theory . . . . . . . . . . . . . III
Im pro ved Ca ntileve r Sn ap -Fit Des ign . . . . . . . . . . . . . . . . . . . . . . . . . . . IV
“U“& “L“S ha pe d S na p s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . V
Ge ne ral Des ign Gu ide line s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . VI
English /Metric Co nversion Ch art . . . . . . . . . . . . . . . . . . . . . . . Ins ide Ba ck C over
Table of Conte nts
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About BASF Performance Polyme rsBAS F P la s tic s is a fully inte gra ted , glob a l su pp lier of en gine ering res ins “from p rodu ction o f fee ds toc ks to theco m po und ing, m an ufac ture an d distribution of hund redsof resin grad es .
BASF is com m itted to co nt inuous produc t developm ent tsu sta in rap id g rowth in the n ylon re sin ma rket. In ou rPlas tics Techn ology Lab oratory, a highly expe rienc ed stafof resea rch a nd d evelopm ent eng inee rs c ont inues tode velop new resins to further extend the horizons of product performanc e.
BASF offers high -q ua lity en gine ering res ins , inc lud ing :
“Ultramid® / Capron® (nylon 6 a nd 6/6 )
Nypel® (a po st-ind us trial nylon 6)
“Petra“® (po st-co ns um er rec ycled P ET)
““Ultradur® “PB T Therm op las tic P olyme r
Ultraform ® “Aceta l (P OM)
Ultrason® “High Tem p P olyme rs
These resins from B ASF, co upled with the co m pa ny’sconcept-through-commercialization expertise, canco m bine to he lp m ake p os sible the m os t efficient, cos t-effec tive sn ap -fit for your prod uc t. Ou r tec hnica l su pp ort rea dy to help you with all your nee ds . And for mo reinforma tion , you ca n a lwa ys visit ou r web site a twww.plasticsportal.com.
Snap-Fit Des ign
This manual will guide you through the
basics of snap-fit design, including: types
of snap-fit designs and their applications;
how to calculate the strength of the unit and
amount of force needed for assembly; and the
three common causes of failure in snap-fits
and how to overcome them.
Introduction
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Sna p-Fit Des ign Applications
Why us e s na p-fits? This cha pter will give you a thum bna ilske tch o f the b ene fits of snap -fits a nd the m aterials u se dto make them.
Sna p-fits are the s im ples t , quickes t and mo st co st-effec tive m ethod o f as se m bling two parts. Whe n des igne dprope rly, par ts with sna p-fits c an be as se mb led anddisa ss em bled num erous t im es without any adverse e ffecton the ass em bly. Sna p-fits are also the m osten vironm en tally frien dly form o f as se m bly bec au seof their eas e of disa ss em bly, m aking c om pone nts of d iffere nt m ate rials ea sy to rec ycle.
Although sna p-fits ca n be de signe d w ith ma ny ma terials,the ide al m ate rial is the rmo plastic b ec au se of its highflexibility an d its ab ility to b e e a s ily a nd ine xpe ns ivelym olde d into com plex geom etries . Other ad vantage sinc lud e its relatively high e lon ga tion , low c oe ffic ie nt o f friction , a nd su fficient s tren gth an d rigidity to m ee t therequirem ents of mos t ap plica tions .
The des igner should b e a ware that the ass em bly may haves o m e “play“du e to toleranc e s tack-up of the two m atingpa rts . So m e sna p-fits can also increas e the costof an injec tion m olding too l du e to the n ee d for slide s in the
m old. An expe rienc ed de signe r ca n often elim ina te thene ed for s lide s by a dd ing a s lot in the wa ll direc tly be lowthe unde rcut or by plac ing the s nap s o n the ed ge o f thepa rt, so they fac e outwa rd (se e Figure I-1).
REQUIRES SLIDE IN MOLD
UNDERCUT
NO SLIDE REQUIRED
SLOT
NO SLIDE REQUIRED,MOLD LESS COMPLEX
Figure I-1
I-1
Part I
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S N A P - F I T D E S I G N AP P L IC AT IO N S
I-2
Concluding points: Sn ap -fits so lve the prob lem of crea ting a n ine xpen sive com po nen t that can b e q uicklyand ea sily joined with ano ther piec e. Thermo plas ticsare the ide al m aterial for sn ap -fits b ec aus e the y have the
flexibility an d res ilien ce ne ce ss ary to allow for n um ero usas se m bly and disa ss em bly operat ions.
Door handle be zel
Backside of bezel Detail of backside of bezel, cantilever design
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II-1
Type s of Sna p-Fits
This c ha pte r provide s a n ove rview of the differe nt type s o f ca ntilever sna p-fits a nd gives a n ide a o f whe n they are u se d.
Mos t e nginee ring m aterial app lica tions with s nap -fits u se theca ntileve r de sign (s ee Figu re II-1) and , thus , this m an ua l willfoc us o n that de sign. The cylindrica l de sign c an b eem ployed whe n an unfilled thermo plas tic m ate rial withhigh er e lon ga tion will be us ed (a typica l ap p lica tion is anas pirin b ottle/c ap as se m bly).
Y
CANTILEVER
“U” SHAPED CANTILEVER
“L” SHAPED CANTILEVER
Figu re II-1
Whe n d es ign ing a ca ntileve r sna p, it is n ot unu su al for thde signe r to go throug h s everal iterations (ch ang ing lengthickne ss , de flec tion dim ens ions , etc .) to d es ign a sn apwith a low er a llow ab le strain for a given m ate rial.
Other types of sna p-fits which c an b e us ed are the “U“o r “L“sh ap ed ca ntileve r sna ps (se e P art V for m ore d eta il)These are us ed whe n the s train of the straight ca ntileversna p c ann ot be de signe d b elow the a llow ab le s train for given material.
Concluding points: Mos t app lica tions ca n em ploy aca ntileve r type sn ap -fit in the de sign. In a p plica tion s w ittight pa cka ging req uirem ents , the “U“or “L“shap ed snap ma ybe req uired.
Automotive oil filter snaps
Cordless screw driver housing, cantilever snap-fit
Pa rt II
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III-1
;
OVERHANG DEPTH
ENTRANCE SI DE
RETRACTION SI DE
A des ign e nginee r ’s job is to find a b alanc e b etwe eninteg rity of the a ss em bly an d s treng th of the c an tileve rbe am . While a ca ntilever bea m with a de ep o verhangca n m ake the unit sec ure, it also puts m ore strain on thebe am during as se mb ly and d isa ss em bly. This cha pterexplains how this b alanc e is a chieved .
A typica l sn ap -fit as se m b ly con sis ts of a c an tileve r be amwith an overha ng at the en d o f the b ea m (se e Figure III-1).The de pth of the o verhang de fines the am ount of de flec tion during as se m bly.
Frict ion Co efficien t µ = tanβ
Mating Force = W
W = P ta n(α + β)µ + tan α W = P ———————— 1–µ tan α
Figu re III-2
Figu re III-1
The overhang typica lly has a ge ntle ram p o n the e ntranc eside a nd a s harpe r ang le on the retrac tion side . The sm allangle a t the e ntranc e s ide (α ) (see Figure III-2) helps toreduc e the as se m bly effort, while the sh arp a ngle a t theretrac tion s id e (α“) m ake s disas se m bly very difficu lt orim po ss ible d ep end ing o n the intend ed func tion. Both theas se m bly and disa ss em bly force c an b e op t im ized bym od ifying the a ngles m entione d ab ove.
The m ain de s ign co ns ide ration of a sn ap -fit is integ rityof the as se m bly and s treng th of the be am . The integrity ofthe a ss em bly is c ontrolled by the stiffne ss (k) of the be amand the am ount of deflec tion req uired for as se m bly ordisa ss em bly. Rigidity ca n be increa se d e ither by using ahigh er m od ulus m ate rial (E) or by inc rea sing the c ros sse ctiona l m om ent of inertia (I) of the be am . The p roduc t othes e two pa ram ete rs (EI) will de term ine the total rigidity oa given be am length.
;
α ' α
R
W
P
W
P
RFRICTION CONE
α
α +β
}
β
MATING FORCE
Snap-Fit Des ign Using Class ical Beam Theory
Part III
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S N A P - F I T D E S I G N U S I N G C L A S S I C AL B E A M TH E O R Y
III-2
The integrity of the a ss em bly can also be im proved byincrea sing the overhang d ep th. As a resu lt, the be amhas to de flec t further an d, therefore, req uires a grea tereffort to clea r the o verhan g from the interloc king h oo k.
However, as the b ea m de flect ion increas es , the bea mstres s a lso inc rea se s. This w ill res ult in a failure if the be amstress is ab ove the yield strength o f the m aterial.
Thus, the d eflec tion m ust b e op tim ized with resp ec t to theyield streng th or s train o f the m ate rial. This is ac hieve d byop tim izing the b ea m se ction g eo m etry to ens ure that thede sired d eflec tion c an b e rea che d w ithout excee ding thestre ng th o r strain lim it of the m ate rial.
The a ss em bly and disa ss em bly force will inc reas e withbo th stiffne s s (k) an d m axim um de flec tion o f the b ea m (Y).The force (P ) required to de flec t the b ea m is prop ortiona lto the p roduc t of the two fac tors:
P= kY
The stiffnes s value (k) de pe nd s on b ea m g eo m etry ass ho wn in F igu re III-3 .
S tress or strain ind uc ed by the d eflec tion (Y) is a lso sh ow nin Figu re III-3. The c alculate d s tress or strain value sh ou ldbe les s tha n the yield stren gth o r the yield strain of thematerial in order to prevent failure.
When selecting the flexural modulus of elasticity (E)
for hygrosc op ic m aterials, i.e. , nylon, c are sho uld be taken.In the d ry as m olde d s tate (DAM), the d atas hee t value m aybe us ed to ca lcu late stiffne ss , de flec tion o r rete ntion forceof sn ap de sign. Unde r norma l 50% relative hum idityco nd itions , howe ver, the ph ysica l prop erties de crea seand , therefore, the s tiffnes s a nd retention force reduc ewhile the d eflec tion increa se s. Both sc en arios s hou ld b ec h e c k e d .
Where:E = Flexura l Mod ulusP = ForceY= Deflec tionb = Width of Bea m
Figu re III-3
b
b
tP
L
L
t
2P
t
L
t
b4
P
I Uniform Cross Section,Fixed End to Free End
Stiffness:
Strain:
II Uniform Width, Height Tapersto t/2 at Free End
Stiffness:
Strain:
III Uniform Height,Width Tapersto b/4 at Free End
Stiffness:
Strain:
k =P
Y
Eb
4
t
L= ( )
3
e = Y1.50 t
L 2 ( )
k =P
Y
Eb
6.528
t
L= ( )
3
e =
b
0.92 Yt
L 2 ( )
k =P
Y
Eb
5.136
t
L= ( ) 3
e = 1.17 Yt
L 2 ( )
)
)
)
Cantilever Beam : Deflec tion-Strain Formulas
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S N A P - F I T D E S I G N U S I N G C L AS S I C AL B E A M TH E O R Y
III-3
Concluding points: In a typica l sn ap -fit, the s treng thof a be am is d ep end ent on its geom etry and m axim umde flec tion du ring as se m bly. The force to as se m ble anddisa ss em ble sn ap -fit ass em blies is highly de pe nde nt on
the overhang entranc e and retrac t ion angles .
Close -up of automotive fuse box snap
Close-up o f automotive fuse box, full view
Close -up of automotive fuse box, snap on s ides of box
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IV-1
The c antilever be am formu las us ed in c onventiona lsn ap -fit des ign und eres tim ate the a m oun t of strain atthe be am /wa ll interfac e b ec aus e they do n ot include thed eforma tion in the wa ll itse lf. Ins tea d, the y as su m e the w allto b e co m pletely rigid with the de flec tion oc cu rring on ly inthe be am . This a ss um ption m ay be valid whe n the rat io of be am length to thicknes s is greater than ab out 10:1.How ever, to ob tain a m ore ac curate p rediction of totalallowa ble de flec tion and strain for short be am s, am ag nifica tion fac tor sh ould be ap pliedto the c on vention al form ula. This w ill en ab le g rea terflexibility in the d e s ign wh ile tak ing full a d van tag e of
the strain-ca rrying ca pa bility of the m ate rial.BASF Plas tics has de velop ed a m ethod for esti-m atingthe se de flec tion m ag nifica tion fac tors forvarious sn ap -fit be am /wa ll co nfigurations as sho wnin Figu re IV-1. The res ults o f this te ch niqu e, w hichha ve be en verified bo th by finite e lem en t ana lysis a ndac tual part tes ting1, a re s ho wn grap hica lly in Figu re IV-1.Figu re IV-2 s ho ws similar res ults for bea m s o ftapered cross s ec t ion (be am thicknes s d ec rea singb y 1/2 a t the tip).
S na p- Fit Design Exam ples 1 & 2 illus trate this p roce du refor de signing sn ap -fits, inc lud ing c alculating the m axim umstrain de velop ed during a ss em bly and pred icting the s nap -in force req uired .
1 Chul S. Lee , Alan Dub in an d Elme r D. Jo nes , “Sho rt Cantilever Be amDeflec tion Analysis App lied to Therm op las tic S na p-Fit Des ign,“19 87 S PEANTEC, he ld in Los Angeles, Ca lifornia, U.S.A.
Improved Cantilever Snap-Fit Des ign
Pa rt IV
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IV-2
D E F L E C T I O N M A G N I F I C A T I O N F A C T O R
Q
ASPECT RATIO, L/t
8.0
7.0
6.0
5.0
4.0
3.0
2.0
1.0
0.0
0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0 11.0
ON A BLOCK
(SOLID WALL)
1
ON A PLATE(OR THIN WALL)
2 4
5
3
Uniform Beam , Q FactorFigu re IV-1
I M P R O V E D C A N T I L E V E R S N A P - F I T D E S I G N
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IV-3
I M P R O V E D C A N T I L E V E R S N A P - F I T D E S I G N
8.0
7.0
6.0
5.0
4.0
3.0
2.0
1.0
0.0
0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0 11.0
2T
5T
D E F L E C T I O N M A G N I F I C A T I O N F A C T O R
Q
ASPECT RATIO, L/t
2T
5T
;
t /2
t
Tap ered Bea m, Q FactorFigu re IV-2
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IV-4
MATERIAL UNFILLED 3 0% G LAS SP EI 9 .8 %(2)
P C 4 %(1) - 9 .2%(2)
Ac e ta l 1 .5 %(1)
Nylon 6(4) 8 %(5) 2.1%(1)
P BT 8 .8%(2)
P C /P ET 5 .8 %(2)
ABS 6 % - 7%(3)
P ET 1 .5%(1)
MATERIAL µ P EI 0 .2 0 - 0 .2 5P C 0 .2 5 - 0 .3 0Ac e ta l 0 .2 0 - 0 .3 5Nylo n 6 0 .1 7 - 0 .2 6P BT 0 .3 5 - 0 .4 0P C /P ET 0 .4 0 - 0 .5 0ABS 0 .5 0 - 0 .6 0P ET 0 .1 8 - 0 .2 5
Table IV-I
NOTES:(1) 70 % of tens ile yie ld s train value(2) G.G . Tran tina . Plastics Engineering.
Augus t 1989 .(3) V.H. Trum bu ll. 19 84 AS ME Winter Annu al Co nferenc e(4) DAM - “Dry As M olde d “co nd ition(5) BASF test lab ; Note 4% should b e us ed in Mating Force
Formula
Tab le IV-II
NOTES:(1) Ma terial tes ted ag ains t itse lf
Co efficient o f Fric tion (1)
Allowab le Stra in Value , e o
Figure IV-3
MAXIMUM S TRAIN (@ BASE)
tY∈= 1.5 ———-L2 Q
MATING FORC E
µ + tan α W = P ——————— 1–µ tan α
bt2 E∈P = ——————— 6L
Where:
W = Push-on ForceW’ = P ull-o ff Forc eP = Pe rpendicular Forceµ = C oe ffic ie nt o f Fric tionα = Lea d Angle
α ’ = Re turn Angleb = Beam Widtht = Bea m Thicknes s
L = Beam LengthE = Flexura l Mod ulus∈= Strain at Ba se∈o = Allow a b le M a teria l S train
Q = Deflec tion Mag nifica tion Fac tor(refer to Figu re IV-2 for p rop e rQ values )
Y = De flec tion
t
Y
b
L
α
P
W
Improved Formulas
Wheel cover with cantilever snaps
I M P R O V E D C A N T I L E V E R S N A P - F I T D E S I G N
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I M P R O V E D C A N T I L E V E R S N A P - F I T D E S I G N
DETERMINE:
A) THE MAXIMUM DEF LEC TIO N OF S NAPB) THE MATING FORCE
SOLUTION:
A) TH E MAXIMUM ALLOWAB LE DEFLECTION OF S NAP
tY max ∈o L2 Q∈o = 1.5 ———- ⇒ Y max = ———— L2 Q 1.5 tL — = 5.0 ⇒ Q = 2.0 (from Q Factor Graph)t
(0.015)(0.5)2 (2.0) Y max = ——————————= 0.050 in(1.5)(0.1)
Therefore, in an ac tual de sign , a s m aller value for deflec tion(Y) wou ld be cho se n for an a dd ed fac tor of sa fety.
B) THE MATING FORCE
bt2 E∈oP = —————— 6L(0.25)(0.1)2 (1.3)(106 ) (0.015)P = —————————————————— = 16.2 lb
6(0.5)µ + tan a W = P ——————— 1–µ tan a
0.2 + tan30º W = 16.2 ————————— = 14.2 lb1 – 0.2 (tan30º)
There fore, it will take 14 .2 lb m ating force toas se m ble pa rts, if the p art de flec ted to the m aterial’sallow ab le strain.
(From Q Fac tor Grap h,Figure IV-1)
IV-5
DETERMINE:
IS THIS TYP E O F S NAP-FIT ACCEP TABLE FOR USE INYLON 6 (CAP RO N“82 00 NYLON)
SOLUTION:
tY∈= 1.5 ———-L2 Q
L — = 3.57 ⇒ Q = 2.7t(0.063)(0.090)
∈= 1.5 ————————— = 6.2%(0.225)2(2.7)
Therefore, it is ac ce pta ble for unfilled Nylon 6(S e e Allow a b le S train Value , Tab le IV-1 ).
Concluding points: Unlike co nven tion al form ulas , BASFinc lud es the de flec tion m ag nific ation fac tor in all ca lcu latioThe exam ples show how to calculate the m axim um stradur ing a ss em bly and ho w to p red ic tthe force ne ed ed for ass em bly.
Close -up of automotive whee l cover snap s
Snap -Fit Des ign Example #1
GIVEN:
Material ⇒ Petra 130(PET)
t = 0 .1 0 inL = 0 .5 0 inb = 0.2 5 inE = 1 .3 (1 06) ps iµ = 0 .2 (F ro m Ta b le
IV-II, Coefficient of Friction)
α = 3 0.0 °∈o= 1.5% (From Table
IV-I, Allowa b leS train Value )
Figure IV-4
t
Y
b
Lα
PW
Snap-Fit Des ign Example #2
GIVEN:
Material ⇒ UnfilledNylon 6
t = 0 .0 6 3 inY = 0.0 90 inL = 0.2 2 5 inb = 0.2 4 2 in
Figure IV-5
tb
L
Y
;
P
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V-1
The c antilever b ea m sn ap -fit de sign isn ’t ap prop riatefor all ap p lica tion s. This c ha pte r de fine s “L“a nd “U“sha pe dsna ps and tells whe n they are use d.
Oc ca siona lly, a d es igne r will not b e ab le to d es ign aca ntileve r sn ap -fit co nfigu ration with a strain be low thea llow a b le lim it of the inten d e d m a teria l. This is u s ua lly d ueto lim ited pa cka ging s pa ce which ca n restrict the leng th of the s nap . This is the ide al tim e to c ons ide r using e ither an“L“sha pe d s nap or a “U“sha pe d sna p.
The “L“sha pe d sn ap (se e Figure V-1) is forme d by d es igningin s lots in the ba se wa ll wh ich effec tively inc reas es the
be am leng th and flexibility com pa red to a sta nd ardca ntilever be am . This allow s the de signe r to red uce thestrain during as se m b ly be low the a llow ab le lim it of these lec ted m aterial. It should b e no ted tha t add ing a slot tothe ba se wall m ay not be a cce ptab le in som e d es igns forco sm etic o r air flow co nc erns.
The “U“sh ap ed sn ap (se e Figure V-2) is ano ther wa y toincrea se the e ffec tive b ea m leng th within a lim ited sp ac een velop e. With this d es ign , even m ate rials w ith lowallowable strain limits (such as highly glass-filled materials)ca n be des igned to me et asse mb ly req uireme nts . The
“U“sha pe d d es ign us ually inc orporates the und ercut on theouter e dg e of the pa rt to e lim inate the n ee d for slide in them old, u nles s a slot is ac ce ptab le in the wa ll from which thesna p projec ts .
Figure V-1
Figure V-2
“U“& “L“Sha pe d Sna ps
“L” SHAPED CANTILEVER
; ;
“U” SHAPED CANTILEVER
;
Part V
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“U “ & “L “ S H AP E D S N AP S ( C O N S T AN T C R O S S S E C T I O N )
L Shaped Snap-Fit Example
A) C alculate the m inim um len gth (L2) of the s lot (se eske tch , Figu re V-3) in the m ain wall for Ca pron“823 3 nylonin the co nfigu ration b elow . The req uired d eflec tion is .3inches.
B) Ca lcu late th e req uired force (P) to de flec t thesna p .38 inche s.
GIVEN:
∈8233 = .021t = .1 inL1 = .5 inR = .12 inI = Moment of Inertia (rectangle)
I = 12 = 12 = 8.333(10-5
)E = 1.31 (10 6 )b = 1.0 in
Y = .38
(6/∈ ) Yt(L1+ R) - 4L 13 - 3R(2πL12 + πR 2 + 8L1R) A) L2= —–––––—————————————————————— 12(L1 +R)2
(6/.021)(.38)(.1)(.62)- 4(.5)3 - .36[.5π+.122π +4(.12)]= ————————————————————————–– 12(.62)2
L2 = 1.187 in
B) Y= 12EI [4L13+3R(2πL12 +πR 2 + 8L1R) + 12L2(L1 + R)2 ]
.38 = (12)(1.31)(106 )(8.333)(10-5 ) [4(.5)3+(.36)[.5π+
.122π+ 8(.5).12]+ 12(1.187)(.62)2 ]
.38 = 1.31(103 ) (6.718)
P = 74.1 lb
b t3 1(.1)3
P
V-2
“L“SHAPED SNAP–FIT
Figure V-3
(6/∈o ) Yt(L1+ R) - 4L 13 - 3R(2πL12 + πR 2 + 8L1R)L2 = ————————————————----------–––——–———— 12(L1 +R)2
o r,
Y= 12EI [4L13+3R(2πL12 +πR 2 + 8L1R) + 12L2(L1 + R)2 ]
Where:L2 = Leng th of slot as sho wn in ske tch∈o = Allow ab le strain o f m ate rial
Y = Ma xim um de flec tion req uired in d irec tionof forc e
t = Thickne ssL1 = Length as show n in sketchR = Ra dius a s s hown in sketch
(at neutral axis)P = Forceb = Beam WidthE = Flexura l Mod ulusI = Mom en t of Ine rtia
P
P
L1
R
L2
A A
SectionA-A
b
t
P
P
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“U Shaped SnapExample #1
Case 1
A) Ca lcu late the a m ou nt of de flec tion a t the tip o f thebe am for a 1.0 pound load
GIVEN:
P = 1 .0 lbI = 0.83 3 x 10-4 in4 = b t3 /1 2 (rec ta ng ular c ro s s s e c tionE = 5 3 4 , 0 0 0 p s iR = 0 .15 inL1= 1.4 inL2= 0.973 int = 0 .1 inb = 1.0 in
A) Y =18EI
[ 6L13 + 9R{L 1(2πL1+ 8R) + πR 2} + 6L 2(3L12- 3L1L2+ L
Y =18(534,000)(0.833 x 10-4 )
[6(1.4)3 +9(0.15){(1.4)
(2π•1.4 + 8 • 0.15) + π(0.15)2} + 6(0.973){3(1.4)2 - 3(1.4)(0.973) + (0.973)2}]
= 0.064 in
Case 2
Y = 3(L1 + R)t[4L13 + 2L 33 +3R {L 1(2πL1 + 8R) + πR 2}]
or,
Y = 6EI [4L13 + 2L 33 +3R {L 1(2πL 1 + 8R) + πR 2}]
Where:
Variab les de fine d o n p revious pa ge .
V-3
“U“& “L“S HAP E D S NAP S
1
b
SectionA-A
t
R
PL1
L3
L2
A A
R
L1L2
P
P
U Shaped Snap–Fit
Case 1
Y = 9(L1 + R)t[6L13 + 9R {L 1(2πL1 + 8R) + πR 2}+
6L2 (3L12 - 3L1L2 +L 22 )]
or,
Y = 18EI [6L13 + 9R {L 1(2πL1 + 8R) + πR 2}+
6L2 (3L12 - 3L1L2 +L 22 )]
∈
∈
P
P
R
L1L2
P
b
SectionA-A
t
A A
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Concluding points: Sn ap -fits ca n use either the “U“o r “L“sha pe d d es ign to overcom e s pa ce lim itat ions. Both theL“a n d “U“sh ap ed sn ap s e ffec tively red uc e s train du ringas se m bly, thus m aking it ide al for m ate rials with low er
a llow a b le s train lim its .
“U“ & “L“S HAP ED S NAP S
V-4
“U“Shape d SnapExam ple #2
Case 2A) Ca lcu late the a m ou nt of de flec tion a t the tip o f the
be am for a 1.0 pound load
GIVEN:
I = 0.833 x 10 -4 in4E = 534,000 psiR = 0.15 inL1 = 0.7 inL1 = L 2L3 = 0.273 int = 0.1 in
Y = 6EI[4L13 + 2L33 + 3R {L 1(2πL1 + 8R) + πR 2}]
=6(534,000)(0.833 x 10
-4
)[4(0.7)3 + 2(0.273)3 +
3(0.15){0.7(2π • 0.7 + 8(0.15)) + π (0.15)2}]= 0.012 in
P
1
R
PL1
L3
L2
Automotive wheel cover
Close -up of above cover backside featuring the “ L“shaped snap -fitdes ign (from a top a ngle)
Inse t shot of a “ U“shap ed snap -fit d esign
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VI-1
be twee n the pa rts, relaxation at the joint c an result in los sof se al pre ss ure, res ulting in lea kag e o f the c on taine d fluidAnothe r prob lem often se en is e xces sive play be twee n thpa rts du e to toleranc e variations , so m etim es resulting innoise and vibration. Se veral wa ys to m inim ize the sephe nom ena include : de signing a low s tres s s nap be am ,de signing the sna p-fit to inco rporatea 90 ° return an gle so that it relaxes in ten sion versusbe nd ing (s ee Figu re VI-2). This will pre vent the m ating pa rfrom s lipp ing p as t or be co m ing loo se . Another wa y is touse a large return a ngle a nd increa se the land leng th in thereturn ang le a rea (see Figu re VI-3). Inc rea sing the
overhang de pth a nd evaluat ing the worst ca se sc ena rio ina tolera nc e stud y will allow the de sign to retain g iven pu ll-off force eve n a fter relaxa tion o cc urs.
Figu re VI-2
Figu re VI-3
Three ba sic iss ue s sh ould be review ed be fore fina lizinga s nap -fit des ign: stress co nce ntration, cree p/relaxation,and fat igue . Below a re des cript ions of these problem sand sug ge st ions to prevent them . All sho uld b econ side red as p art of good de sign pract ice for anythermo plas tic de sign.
The s ingle m os t co m m on ca us e of failure in s nap -fits iss t res s c once ntrat ion due to a sha rp c orner be tween thesn ap -fit bea m and the wa ll to which it is a ttac hed . Sincethis loc ation no rma lly co inc ide s with the po int of ma xim umstres s , a sha rp corner ca n increas e the s t ress b eyond thestren gth o f the m ate rial, ca us ing po int yielding orbre aka ge . This is m ore critica l for rigid plastics like g las s -reinforce d n ylon , wh ic h ha ve relatively low ultim a teelonga tion . More du ctile m ate rials, like u nreinforced nylon ,tend to yield an d de form be fore they brea k, redistribu tingthe pe ak stress over a broad er reg ion. One so lution is toinco rporate a fillet rad ius at the junc ture be twee n the be aman d the wa ll (se e Figu re VI-1), so tha t the ra tio o f rad ius towa ll thickne ss (R/t) is a t lea st 50 % . Going b eyond 50 %results in a m arginal increa se in streng th and m ay ca useothe r prob lem s like interna l voids an d s ink m arks . If sinkm arks are an iss ue, a sm aller rad ius c an b e us ed , but it
m ay increa se the s tres s in this a rea. Anothe r option is toad d the radius o nly on the tens ile s ide of the b ea m .
Figure VI-1
Cree p, o r mo re ac curate ly stres s relaxation, c an result ina red uction o f the ho lding force be twee n the twocom pon ents co nnec ted b y the s nap -fit . Stress relaxat ionwill oc cu r grad ua lly over tim e. If the re is a ga s ket or s ea l
Gene ral Des ign Guide lines
SHARPCORNER
;;
R =.5t MINIMUM
t;
POOR DESIGN GOOD DESIGN
; ;
RELAXED POSITION(EXAGGERATED)
P = MATING PART FORCE
UNDEFORMEDPOSITION
UNDEFORMEDPOSITION
PP
RELAXATION IN TENSION RELAXATION IN BENDIN
RETURN ANGLE
LAND LENGTH
;
OVERHANG DEPTH
Part VI
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VI-2
G E N E R A L D E S I G N G U I D E L I N E S
Fatigu e, o r rep etitive loa d ing , is th e third m ajor cau seof failure. Fatigu e c on ce rns p rim arily ap ply if hun dre ds orthous and s of cycles are an ticipa ted. While the d es igns tres s leve l m igh t be we ll within the stren gth o f them aterial, the repe ated ap plica tion o f this s tres s c anres ult in fatigu e failure at so m e po int in the future.S om e p olyme rs pe rform b etter than o thers in this rega rd,m aking the m ide al ca nd id ate s for sna p- fits or living h ing estha t mu st flex rep ea ted ly. The first wa y to a void a fatigu efailure is to c ho os e a m ate rial known to p erform we ll infatigue . This ca n be do ne by com pa ring the so-c alled S -Ncurves of the m ater ials , which s how the expec ted num be rof cycles to failure a t variou s stres s levels an d at d iffere nttem pe ratures o f expo sure. The se co nd w ay, still using theS -N curves , is to ch oos e a d es ign s tres s level, at the
co rrec t tem pe rature, that res ults in the requ ired num be r of loa d a p p lic a tion s p rior to fa ilure . This m e tho d w ill us ua llybe c ons ervative sinceS -N curves a re typica lly gene rated a t muc h highe rfreque ncies than wo uld b e a nticipa ted for repe atedap plica tion of a sna p-fit as se m bly.
For hygros co pic m ate rials like n ylon , the e ffec ts o f m oisture on final pa rt dim ens ions and m ec ha nica lprop erties a lso m ust be co ns ide red. For furthe rinforma tion, plea se co nsu lt the BASF P las tics Des ignSolutions Guide.
Conc luding points: There are a num be r of ways toovercom e the iss ues of s tres s conc entrat ion, s t ressrelaxa tion a nd fatigu e. A we ll thou gh t-ou t d es ign a ndus ing the righ t po lym e r for a give n a p p lic a tion will m inim izethe se iss ue s . This a llow s the a p plica tion to b en efit from a llthe ad vantage s of a sna p-fit des ign.
Circular sa w handle inset shot featuring s nap-fit c losure and mating
Close -up o f truck mirror patch cover
Close-up of automotive fuel rail cover, snap-fit design
Aerator
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Notes
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English/Metric Convers ion ChartTo Convert To MultiplyEnglish Sys tem Metric System English Value by. ..
DISTANCEinc hes m illim e te rs 25 .3 8fee t m e te rs 0 .304 78
MASSounc e (avd p ) gra m 28.3 495p ound gra m 453 .5925p ound kilogra m 0.45 36U.S . to n m e tric ton 0 .907 2
VOLUMEinch3 centimeter3 16.3871inch3 lite r 0 .016 387fluid ounc e c entim e te r3 29.5735q ua rt (liq uid ) d e c im e te r3 (lite r) 0 .946 4ga llon (U.S .) d e c im e te r3 (lite r) 3 .78 54
TEMPERATUREd e gre e F d e gre e C (°F –3 2) / 1 .8 = °C
PRESSUREp s i b a r 0 .06 89p s i kP a 6 .89 48ks i MN/m2 6.8948p s i MP a 0 .006 89
ENERGY AND POWERin lbf J o ule s 0 .113ft lbf J o ule s 1 .35 58kW m e tric hors e p owe r 1 .35 96U.S . hors e p o we r Kw 0.74 57Btu J o ule s 1055 .1BTU “in / (hr “ft2“ºF) W/m “°K 0.144 2
VISCOSITYp ois e P a “s 0 .1
BENDING MOMENTOR TORQUEft lb N “m 1.356
DENSITYlb/in3 g / c m3 27.68lb/ft3 k g / m3 16.0185
NOTCHED IZODft lb/in J /m 53 .4
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