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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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WS9b-3CAT509, Workshop 9b, March 2002
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-$CAT509, Workshop 9b, March 2002
Hn! clc"ltions Ma%#mum shear s"ress a" "he sur&ace
Ma%#mum an'e o& "(#s"
WORKSHOP 9b SHOULDERED FILLET
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WS9b-5CAT509, Workshop 9b, March 2002
S"##este! E$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")
$) App! a momen" &orce)
5) Compu"e "he #n#"#a ana!s#s)
) Check 'oba and oca prec#s#on +an#ma"e de&orma"#on, adap"#.e
bo%es and e%"remas)
/) Chan'e 'oba and oca mesh s#e)
) Compu"e "he prec#se ana!s#s)
9) #sua#e na resu"s)
10) Sa.e "he ana!s#s documen")
WORKSHOP 9b SHOULDERED FILLET
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WS9b-CAT509, Workshop 9b, March 2002
Step %& 'rete ne( 'ATIA nl)sis !oc"ment
Steps*
%&pen "he e%#s"#n'
(s9bSha&")CAT4ar"
&rom "he "ra#n#n'
d#rec"or!)
+&App! s"ee ma"er#a
proper"#es "o "he par" as
reu#red +remember
moduus o& r#'#d#"! &or
"ors#on)
,&Launch "he6enera"#.e S"ruc"ura
Ana!s#s (orkbench &or
a S"a"#c Ana!s#s)
-&Spec#&! "he
Compu"a"#ons and
7esu"s s"ora'e
oca"#ons as sho(n)
2
1
3$
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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
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Step ,& Appl) clmp restrint
Steps*
%&Seec" "he Camp
res"ra#n" #con)
+&Seec" "he $ &aces
as sho(n, seec" ;)
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Step -& Appl) moment 0orce
Load on! one end)
Steps*
%&Seec" "he Momen"
#con)
+&Seec" &our &aces as
sho(n)
,&
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Step 1& 'omp"te t/e initil nl)sis
1
Sa.e rs")
Steps*
%&Compu"e A
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#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
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#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?)
Step 2& '/ec3 #lobl n! locl precision
1
2
3
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Step 2& '/ec3 #lobl n! locl precision
1
@#nd "he 'oba
eemen" (#"h "he
h#'hes" es"#ma"ed
error)
Steps*
%&Seec" "he Search
*ma'e
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Step 2& '/ec3 #lobl n! locl precision
1
8e"erm#ne ma%#mum
oca error ?)
Steps*
%& Seec" "he adap"#.#"!
bo% #con)
+& Seec" "he Seec"
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Step 2& '/ec3 #lobl n! locl precision
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
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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
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Step 6& 'omp"te t/e precise nl)sis
1
Sa.e rs")
Steps*
%&Compu"e A
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Check ho( much "he
'oba and oca
es"#ma"ed error has
#mpro.ed)
Steps*
%&Seec" on "he
#n&orma"#on #con "hen
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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
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Step 9& 7is"li5e 0inl res"lts
1
#sua#e 7on .ises
stress 0iel! ptterns&
Steps*
%&Seec" "he S"ress
on M#ses #con)
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WS9b-21CAT509, Workshop 9b, March 2002
Step 9& 7is"li5e 0inl res"lts
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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WS9b-22CAT509, Workshop 9b, March 2002
Step 9& 7is"li5e 0inl res"lts
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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WS9b-23CAT509, Workshop 9b, March 2002
Step 9& 7is"li5e 0inl res"lts
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
Step 9& 7is"li5e 0inl res"lts
#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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WS9b-25CAT509, Workshop 9b, March 2002
Step 9& 7is"li5e 0inl res"lts
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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WS9b-2CAT509, Workshop 9b, March 2002
Step 9& 7is"li5e 0inl res"lts
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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