09b v5 Gpsfordesigner Ws 9b 030402

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WS9b-1

WORKSHOP 9b

TORSION OF A SHAFT WITH ASHOULDER FILLET

CAT509, Workshop 9b, March 2002


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WS9b-2CAT509, Workshop 9b, March 2002


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WORKSHOP 9b SHOULDERED FILLET

Material: Steel

Young Modulus = 29e6 psi

Modulus of Rigidity = 12e6 psi

Poisson Ratio = .266

Density = .284 l!in"

Yield Strengt# = "62$9 psi

Problem Description Load case: Assume on! pure "ors#on

1%% ls

1%% ls

6.&$ in'#


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WS9b-$CAT509, Workshop 9b, March 2002

Hn! clc"ltions Ma%#mum shear s"ress a" "he sur&ace

Ma%#mum an'e o& "(#s"



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S"##este! E$ercise Steps

1) Crea"e a ne( CAT*A ana!s#s documen" +)CATAna!s#s)

2) Mesh 'oba! (#"h #near eemen"s)

3) App! a camp res"ra#n")

$) App! a momen" &orce)

5) Compu"e "he #n#"#a ana!s#s)

) Check 'oba and oca prec#s#on +an#ma"e de&orma"#on, adap"#.e

bo%es and e%"remas)

/) Chan'e 'oba and oca mesh s#e)

) Compu"e "he prec#se ana!s#s)

9) #sua#e na resu"s)

10) Sa.e "he ana!s#s documen")



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WS9b-CAT509, Workshop 9b, March 2002

Step %& 'rete ne( 'ATIA nl)sis !oc"ment

Steps*

%&pen "he e%#s"#n'

(s9bSha&")CAT4ar"

&rom "he "ra#n#n'

d#rec"or!)

+&App! s"ee ma"er#a

proper"#es "o "he par" as

reu#red +remember

moduus o& r#'#d#"! &or

"ors#on)

,&Launch "he6enera"#.e S"ruc"ura

Ana!s#s (orkbench &or

a S"a"#c Ana!s#s)

-&Spec#&! "he

Compu"a"#ons and

7esu"s s"ora'e

oca"#ons as sho(n)

2

1

3$


7/28WS9b-/CAT509, Workshop 9b, March 2002

Step +& .es/ #lobll) (it/ liner elements

Steps*

%&8oube C#ck "heMesh #con on "he

par")

+&;e! #n 0)125#n &or

"he 6oba S#e and

0)013#n &or "he 6oba

sa', seec" ;)

1

2


8/28WS9b-CAT509, Workshop 9b, March 2002

Step ,& Appl) clmp restrint

Steps*

%&Seec" "he Camp

res"ra#n" #con)

+&Seec" "he $ &aces

as sho(n, seec" ;)

12


9/28WS9b-9CAT509, Workshop 9b, March 2002

Step -& Appl) moment 0orce

Load on! one end)

Steps*

%&Seec" "he Momen"

#con)

+&Seec" &our &aces as

sho(n)

,&



Step 1& 'omp"te t/e initil nl)sis

1

Sa.e rs")

Steps*

%&Compu"e A



#sua#e "he

De0ormtion and

an#ma"e)

Steps*

%&Seec" "he

8e&orma"#on #con)

+&Seec" on "he

An#ma"e #con)

er#&! "ha"

de&orma"#on #s (ha"

!ou e%pec")

Step 2& '/ec3 #lobl n! locl precision

1

2



#sua#e "hecomp"ttion error

mp&

Steps*

%&Seec" "he

4rec#s#on #con)

+&Seec" on "he

#n&orma"#on #con),& Seec" "he

o"e "he 'oba

es"#ma"ed error ra"e #s

no" 'ood +recommend

ma% 20?)


1

2

3




1

@#nd "he 'oba

eemen" (#"h "he

h#'hes" es"#ma"ed

error)

Steps*

%&Seec" "he Search

*ma'e


14/28WS9b-1$CAT509, Workshop 9b, March 2002


1

8e"erm#ne ma%#mum

oca error ?)

Steps*

%& Seec" "he adap"#.#"!

bo% #con)

+& Seec" "he Seec"




1

8e"erm#ne oca error ?

a" s"ress concen"ra"#on

area)

Steps*

%& Seec" "he adap"#.#"!

bo% #con)

+& se "he compass

and 'reen do"s "o oca"e

and s#e bo% around "he

shouder area)

,&Loca error #s =us" as

bad, recommended

10?)

2

3



Step 4& '/n#e #lobl n! locl mes/ si5e

Steps*

%&Chan'e 'obamesh as sho(n)

+& Seec" "he Loca "ab

and add oca mesh

s#e and sa' #n "he

shouder areas as

sho(n seec" ;)

1

2


17/28WS9b-1/CAT509, Workshop 9b, March 2002

Step 6& 'omp"te t/e precise nl)sis

1

Sa.e rs")

Steps*

%&Compu"e A



Check ho( much "he

'oba and oca

es"#ma"ed error has

#mpro.ed)

Steps*

%&Seec" on "he

#n&orma"#on #con "hen



Step 9& 7is"li5e 0inl res"lts

Add "he 7o"a"#ona

d#spacemen" #ma'es)

Steps*

%&7#'h" c#ck "he S"a"#c

Case Sou"#on)1 #n "he

&ea"ures "ree "hen seec"

"he 7o"a"#ona

d#spacemen" #ma'es)

1




1

#sua#e 7on .ises

stress 0iel! ptterns&

Steps*

%&Seec" "he S"ress

on M#ses #con)


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1

2

@#nd "he eemen" (#"h

ma%#mum on M#sesS"ress)

Steps*

%&Seec" "he search

#ma'e e%"rema #con)

+& 7#'h" c#ck 6oba

Ma%#mum)1 #n "he

&ea"ures "ree "hen seec"@ocus n)

S#nce "he oca error ?

#n "h#s area #s 32?

des#'n s"ress #s

ues"#onabe)


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8#spa! 4r#nc#pa

S"resses "o .er#&!

ma%#mum shear)

Steps*

%& Seec" "he d#spa!pr#nc#pa s"ress #con)

+&


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and cacua"#ons

#nd#ca"e ma% shear o&

39,000 ps# a" "he

shouder, soD

Steps*

%& 8oube c#ck coor

pae" and *mpose a

ma% 39,000 +"h#s (#

coor eemen"s (#"h

39ks# and h#'her red)

8#' deeper, ne%" pa'e)

1


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WS9b-2$CAT509, Workshop 9b, March 2002


#sua#e peak and

remo"e s"ress "o .er#&!

"he s"ress con'ura"#on

&ac"or ;" E1)$2 +&rom

4e"erson)

Steps*

%& B! pos#"#on#n' "he

cursor on a eemen" "hes"ress .aues sho()

4eak s"ressF7emo"e

s"ress E ;")

3)2/e$F2)25e$E1)$5

We ha.e a ma"ch)

1

Pea( Stress

Re)ote Stress


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1

@#nd 'oba ma%#mum

shear s"ress)

Steps*

%& Seec" "he search

*ma'e e%"rema "hen

&ocus on "he eemen")

+& Th#s des#'n s"ress

occurs a" "he smaer

cross sec"#on as (oud

be e%pec"ed)

2

S 9 7i li 0i l l


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Hn! 'lc"ltions &82 inc/ Liner lobl .es/: &882 inc/ s#

&8, inc/ Liner Locl .es/: &88, inc/ s#

lobl ; Precision error

Locl ; Precision error

NA

NA

%9 ;

+-&% ;

Error Estimte NA -&9,e4


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WS9b-2/CAT509, Workshop 9b, March 2002

Step %8& S@e t/e nl)sis !oc"ment

Steps*

%&Seec" Sa.e

Mana'emen" &rom "he

@#e menu)

+'h#'h" documen"

!ou (an" "o sa.e)

,&Seec" Sa.e As "o

spec#&! name and

pa"h, seec", ;) 23

1


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