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    DEPARTMENT OF MECHANICAL ENGINEERING

    VI SEMESTER

    COMPUTER AIDED MODELLING AND ANALYSIS

    ACADEMIC YEAR 2013-2014

    LABORATORY RECORD

    NAME OF THE STUDENT:____________________________________________________________

    __

    BRANCH: ___________________________________________________

    USN: ____________________________________________________

    SEMESTER: _________________________________________________

    BATCH: _____________________________________________________

    ______________________________

    Head of !e De"a#$e%

    ______________________

    Saff I%-&!a#'e

    INTRODUCTION

    25

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    S(%&e FEA (+ a de+('% oo), ( +!o)d e +ed &o%#e%)* (! !e de+('% "#o&e++. I

    +!o)d 5ee" " (!, o# ee# *e, drive !e de+('% "#o&e++. A%a)*+(+ (e#a(o%+ $+

    e "e#fo#$ed fa+, a%d +(%&e !e+e #e+)+ a#e +ed o $a5e de+('% de&(+(o%+, !e

    #e+)+ $+ e #e)(a)e e/e% !e% )($(ed (%" (+ a/a()a)e.

    Li!itati$ns $' FEA '$( Desi)n En)inee(s

    A+ *o &a% +ee, FEA +ed (% !e de+('% e%/(#o%$e% $+ $ee !('! #e(#e$e%+.

    A% o/(o+ e+(o% a#(+e+; o)d ( e ee# o !a/e ded(&aed +"e&(a)(+ "e#fo#$

    FEA a%d )e de+('% e%'(%ee#+ do !a !e* do e+ - de+('% %e "#od&+< T!e

    a%+e# de"e%d+ o% !e +(6e of !e +(%e++, *"e of "#od&+, &o$"a%* o#'a%(6a(o%

    a%d &)#e, a%d $a%* o!e# a%'()e a%d (%a%'()e fa&o#+. A 'e%e#a) &o%+e%++ (+

    !a de+('% e%'(%ee#+ +!o)d !a%d)e #e)a(/e)* +($")e *"e+ of a%a)*+(+, do (

    (&5)* a%d of &o#+e #e)(a)*. A%a)*+e+ !a a#e /e#* &o$")e9 a%d ($e &o%+$(%'

    &a%%o e e9e&ed &o%#e%)* (! !e de+('% "#o&e++, a%d a#e +a))* ee#

    !a%d)ed e(!e# * a ded(&aed a%a)*+ o# &o%#a&ed o o +"e&(a)(6ed &o%+)a%+.

    O*.e+ti/es $' FEA '$( Desi)n En)inee(s

    T!e )($ae oe&(/e of +(%' !e FEA a+ a de+('% oo) (+ o &!a%'e !e de+('%

    "#o&e++ f#o$ #e"e((/e &*&)e+ of :de+('%, "#oo*"e, e+: (%o +#ea$)(%ed "#o&e++

    !e#e "#oo*"e+ a#e %o +ed a+ de+('% oo)+ a%d a#e o%)* %eeded fo# f(%a) de+('%

    /e#(f(&a(o%. 8(! !e +e of FEA, de+('% (e#a(o%+ a#e $o/ed f#o$ !e "!*+(&a) +"a&e

    of "#oo*"(%' a%d e+(%' (%o !e /(#a) +"a&e of &o$"e# +($)a(o%+ =f('#e 1-1>.

    F('#e 1-1; T#ad((o%a) a%d. FEA- d#(/e% "#od& de/e)o"$e%

    F%n&a!enta ste-s in an FEA -($.e+t

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    T!e +a#(%' "o(% fo# a%*So)(d 8o#5+ S($)a(o% "#oe& (+ a So)(d 8o#5+ $ode),

    !(&! &a% e o%e "a# o# a% a++e$)*. A !(+ +a'e, $ae#(a) "#o"e#(e+, )oad+ a%d

    #e+#a(%+ a#e def(%ed. Ne9, a+ (+ a)a*+ !e &a+e (! +(%' a%* FEA a+ed a%a)*+(+

    oo), e +")( !e 'eo$e#* (%o #e)a(/e)* +$a)) a%d +($")* +!a"ed e%((e+, &a))ed

    f(%(e e)e$e%+. T!e e)e$e%+ a#e &a))ed :f(%(e: o e$"!a+(6e !e fa& !a !e* a#e %o

    (%f(%(e+($a))* +$a)), o%)* #ea+o%a)* +$a)) (% &o$"a#(+o% o !e o/e#a)) $ode)

    +(6e. C#ea(%' f(%(e e)e$e%+ (+ &o$$o%)* &a))ed $e+!(%'. 8!e% o#5(%' (! f(%(e

    e)e$e%+, !e So)(d 8o#5+ S($)a(o% +o)/e# a""#o9($ae+ !e +o)(o% e(%' +o'!

    =fo# e9a$")e, defo#$a(o%+ o# +#e++e+> * a++e$)(%' !e +o)(o%+ fo# (%d(/(da)

    e)e$e%+.

    F#o$ !e "e#+"e&(/e of FEA +ofa#e, ea&! a"")(&a(o% of FEA #e(#e+ !#ee +e"+;

    P#e"#o&e++(%' of !e FEA $ode), !(&! (%/o)/e+ def(%(%' !e $ode) a%d !e%

    +")((%' ( (%o f(%(e e)e$e%+

    So)(o% fo# &o$"(%' a%ed #e+)+

    Po+-"#o&e++(%' fo# #e+)+ a%a)*+(+

    E(($(s in FEA

    T!e "#o&e++ ())+#aed (% f('#e+ 1-2 a%d 1-3 (%#od&e+ %a/o(da)e e##o#+.

    Fo#$)a(o% of a $a!e$a(&a) $ode) (%#od&e+ $ode)(%' e##o#+ =a)+o &a))ed

    (dea)(6a(o% e##o#+>, d(+e(6a(o% of !e $a!e$a(&a) $ode) (%#od&e+ d(+e(6a(o%

    e##o#+, a%d +o)/(%' (%#od&e+ %$e#(&a) e##o#+. Of !e+e !#ee *"e+ of e##o#+, o%)*

    d(+e(6a(o% e##o#+ a#e +"e&(f(& o FEA. Mode)(%' e##o#+ affe&(%' !e $a!e$a(&a)$ode) a#e (%#od&ed efo#e FEA (+ ()(6ed a%d &a% o%)* e &o%#o))ed * +(%'

    &o##e& $ode)(%' e&!%(e+. So)(o% e##o#+ &a+ed * !e a&&$)a(o% of #o%d-off

    e##o#+ a#e d(ff(&) o &o%#o), a#e +a))* /e#* )o.

    F('#e 1-2; ()d(%' !e $a!e$a(&a) $ode)

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    F('#e 1-3; ()d(%' !e f(%(e e)e$e% $ode)

    What is +a+%ate& in FEA#

    Ea&! de'#ee of f#eedo$ of e/e#* %ode (% a f(%(e e)e$e% $e+! &o%+(e+ a%

    %5%o%. I% +#a) a%a)*+(+, !e#e e )oo5 a defo#$a(o%+ a%d +#e++e+, %oda)

    d(+")a&e$e%+ a#e !e "#($a#* %5%o%+. If +o)(d e)e$e%+ a#e +ed, !e#e a#e !#ee

    d(+")a&e$e% &o$"o%e%+ =o# 3 de'#ee+ of f#eedo$> "e# %ode !a $+ e &a)&)aed.

    8(! +!e)) e)e$e%+, +(9 d(+")a&e$e% &o$"o%e%+ =o#? de'#ee+ of f#eedo$> $+ e

    &a)&)aed.

    E/e#*!(%' e)+e, +&! a+ +#a(%+ a%d +#e++e+, a#e &a)&)aed a+ed o% !e %oda)

    d(+")a&e$e%+. Co%+ee%)*, #('(d #e+#a(%+ a"")(ed o +o)(d e)e$e%+ #e(#e o%)*

    !#ee de'#ee+ of f#eedo$ o e &o%+#a(%ed. R('(d #e+#a(%+ a"")(ed o +!e)) e)e$e%+

    #e(#e !a a)) +(9 de'#ee+ of f#eedo$ e &o%+#a(%ed. I% a !e#$a) a%a)*+(+, !(&!

    f(%d+ e$"e#a#e+ a%d !ea f)o, !e "#($a#* %5%o%+ a#e %oda) e$"e#a#e+.S(%&e e$"e#a#e (+ a +&a)a# /a)e =%)(5e !e /e&o# %a#e of d(+")a&e$e%+>, !e%

    #e'a#d)e++ of !a *"e of e)e$e% (+ +ed, !e#e (+ o%)* o%e %5%o% =e$"e#a#e>

    o e fo%d fo# ea&! %ode. A)) o!e# #e+)+ a/a()a)e (% !e !e#$a) a%a)*+(+ a#e

    &a)&)aed a+ed o% e$"e#a#e #e+)+. T!e fa& !a !e#e (+ o%)* o%e %5%o% o e

    fo%d fo# ea&! %ode7 #a!e# !a% !#ee o# +(9, $a5e+ !e#$a) a%a)*+(+ )e++

    &o$"a(o%a))* (%e%+(/e !a% +#a) a%a)*+(+.

    H$, t$ inte(-(et FEA (es%ts

    Re+)+ of +#a) FEA a#e "#o/(ded (% !e fo#$ of d(+")a&e$e%+ a%d +#e++e+.

    !o do e de&(de (f a de+('% :"a++e+: o# :fa()+: a%d !a doe+ ( a5e fo# a)a#$+ o 'o

    off< 8!a e9a&)* &o%+(e+ a fa()#e &a% e e/a)aed +(%' /o%

    M(+e+ +#e++. T!e $a'%(de of /o% M(+e+ +#e++ &a% e &o$"a#ed o $ae#(a) *(e)d o#

    o )($ae +#e%'! o &a)&)ae !e *(e)d +#e%'! o# !e )($ae +#e%'! +afe*

    fa&o#.

    Gettin) Sta(te& ,ith ANSYS 12

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    Pe#fo#$(%' a T*"(&a) ANSYS A%a)*+(+

    T!e ANSYS "#o'#a$ !a+ $a%* f(%(e e)e$e% a%a)*+(+ &a"a()((e+, #a%'(%' f#o$ a

    +($")e, )(%ea#, +a(& a%a)*+(+ o a &o$")e9, %o%)(%ea#, #a%+(e% d*%a$(& a%a)*+(+. T!e

    a%a)*+(+ '(de $a%a)+ (% !e ANSYS do&$e%a(o% +e de+(e +"e&(f(& "#o&ed#e+

    fo# "e#fo#$(%' a%a)*+e+ fo# d(ffe#e% e%'(%ee#(%' d(+&(")(%e+.

    A *"(&a) ANSYS a%a)*+(+ !a+ !#ee d(+(%& +e"+;

    ()d !e $ode).

    A"")* )oad+ a%d oa(% !e +o)(o%.

    Re/(e !e #e+)+.

    ()d(%' a Mode)

    ()d(%' a f(%(e e)e$e% $ode) #e(#e+ $o#e of a% ANSYS +e#@+ ($e !a% a%* o!e#

    "a# of !e a%a)*+(+. F(#+, *o +"e&(f* a o %a$e a%d a%a)*+(+ ()e. T!e%, *o +e !e

    PREP "#e"#o&e++o# o def(%e !e e)e$e% *"e+, e)e$e% #ea) &o%+a%+, $ae#(a)

    "#o"e#(e+, a%d !e $ode) 'eo$e#*.

    S"e&(f*(%' a o %a$e a%d A%a)*+(+ T()e

    T!(+ a+5 (+ %o #e(#ed fo# a% a%a)*+(+, (+ #e&o$$e%ded.

    Def(%(%' !e o %a$e

    T!e o %a$e (+ a %a$e !a (de%(f(e+ !e ANSYS o. 8!e% *o def(%e a o

    %a$e fo# a% a%a)*+(+, !e o %a$e e&o$e+ !e f(#+ "a# of !e %a$e of a)) f()e+ !e

    a%a)*+(+ eae+. =T!e e9e%+(o% o# +ff(9 fo# !e+e f()e+@ %a$e+ (+ a f()e (de%(f(e# +&! a+

    .D.> * +(%' a o %a$e fo# ea&! a%a)*+(+, *o (%+#e !a %o f()e+ a#e o/e##(e%.

    If *o do %o +"e&(f* a o %a$e, a)) f()e+ #e&e(/e !e %a$e FILE o# f()e,de"e%d(%' o% !e o"e#a(%' +*+e$.

    Co$$a%d=+>; FILNAME

    GI; ()(* Me%F()eC!a%'e o %a$e

    Def(%(%' E)e$e% T*"e+

    T!e ANSYS e)e$e% )(#a#* &o%a(%+ $o#e !a% 100 d(ffe#e% e)e$e% *"e+.Ea&!

    e)e$e% *"e !a+a %(e %$e# a%d a "#ef(9 !a (de%(f(e+ !e e)e$e% &ae'o#*;

    EAM4, PLANE,SOLIDJ?,e&. T!e fo))o(%' e)e$e% &ae'o#(e+ a#e a/a()a)e;

    Def(%(%' E)e$e% Rea) Co%+a%+

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    E)e$e% #ea) &o%+a%+ a#e "#o"e#(e+ !a de"e%d o% !e e)e$e% *"e, +&! a+ o++-

    +e&(o%a) "#o"e#(e+ of a ea$ e)e$e%. Fo# e9a$")e, #ea) &o%+a%+ fo# EAM3,!e 2-

    Dea$e)e$e%, a#e a#ea =AREA>, $o$e% of (%e#(a =IKK>, !e('! =HEIGHT>, +!ea#

    def)e&(o% &o%+a% =SHEARK>, (%((a) +#a(% =ISTRN>, a%d added $a++ "e# %( )e%'!

    =ADDMAS>. No a)) e)e$e% *"e+ #e(#e #ea) &o%+a%+, a%d d(ffe#e% e)e$e%+ of

    !e +a$e *"e $a* !a/e d(ffe#e% #ea) &o%+a% /a)e+. A+ (! e)e$e% *"e+, ea&!

    +e of #ea) &o%+a%+ !a+ a #efe#e%&e %$e#, a%d !e a)e of

    #efe#e%&e %$e# /e#++ #ea) &o%+a% +e (+ &a))ed !e #ea) &o%+a% a)e. 8!()e

    def(%(%' !e e)e$e%+, *o "o(% o !e a""#o"#(ae #ea) &o%+a% #efe#e%&e %$e# +(%'

    !e REAL&o$$a%d =Ma(% Me% P#e"#o&e++o#C#eaeE)e$e%+E)e$ A#(e+>.

    Def(%(%' Mae#(a) P#o"e#(e+

    Mo+ e)e$e% *"e+ #e(#e $ae#(a) "#o"e#(e+. De"e%d(%' o% !e a"")(&a(o%,

    $ae#(a) "#o"e#(e+ $a* e;

    L(%ea# o# %o%)(%ea#

    I+o#o"(&, o#!o#o"(&, o# a%(+o#o"(&

    Co%+a% e$"e#a#e o# e$"e#a#e-de"e%de%.

    A+ (! e)e$e% *"e+ a%d #ea) &o%+a%+, ea&! +e of $ae#(a) "#o"e#(e+ !a+ a $ae#(a)

    #efe#e%&e %$e#. T!e a)e of $ae#(a) #efe#e%&e %$e#+ /e#++ $ae#(a)

    "#o"e#* +e+ (+ &a))ed !e $ae#(a) a)e. 8(!(% o%e a%a)*+(+, *o $a* !a/e $)(")e

    $ae#(a) "#o"e#* +e+ =o &o##e+"o%d (! $)(")e $ae#(a)+ +ed (% !e $ode)>.

    ANSYS (de%(f(e+ ea&! +e (! a %(e #efe#e%&e %$e#.

    Ma(% Me% P#e"#o&e++o# Mae#(a) P#o"+ Mae#(a) Mode)+

    C#ea(%' !e Mode) Geo$e#*

    O%&e *o !a/e def(%ed $ae#(a) "#o"e#(e+, !e %e9 +e" (% a% a%a)*+(+ (+

    'e%e#a(%' a f(%(e e)e$e% $ode)-%ode+ a%d e)e$e%+-!a adeae)* de+(e+ !e

    $ode) 'eo$e#*.

    T!e#e a#e o $e!od+ o eae !e f(%(e e)e$e% $ode); +o)(d $ode)(%' a%d d(#e&

    'e%e#a(o%. 8(! +o)(d $ode)(%', *o de+(e !e 'eo$e#(& +!a"e of *o# $ode), !e%

    (%+#& !e ANSYS "#o'#a$ o ao$a(&a))* $e+! !e 'eo$e#* (! %ode+ a%d

    e)e$e%+. Yo &a% &o%#o) !e +(6e a%d +!a"e of !e e)e$e%+ !a !e "#o'#a$ eae+.

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    8(! d(#e& 'e%e#a(o%, *o :$a%a))*: def(%e !e )o&a(o% of ea&! %ode a%d !e

    &o%%e&(/(* of ea&! e)e$e%.

    Se/e#a) &o%/e%(e%&e o"e#a(o%+, +&! a+ &o"*(%' "ae#%+ of e9(+(%' %ode+ a%d

    e)e$e%+, +*$$e#* #ef)e&(o%, e&. a#e a/a()a)e.

    A"")* Load+ a%d Oa(% !e So)(o%

    I% !(+ +e", *o +e !e SOLTION "#o&e++o# o def(%e !e a%a)*+(+ *"e a%d a%a)*+(+

    o"(o%+, a"")* )oad+, +"e&(f* )oad +e" o"(o%+, a%d (%((ae !e f(%(e e)e$e% +o)(o%.

    Yo a)+o &a% a"")* )oad+ +(%' !e PREP "#e"#o&e++o#.

    A"")*(%' Load+

    T!e o#d )oad+ a+ +ed (% !(+ $a%a) (%&)de+ o%da#* &o%d((o%+ =&o%+#a(%+,+""o#+, o# o%da#* f(e)d +"e&(f(&a(o%+> a+ e)) a+ o!e# e9e#%a))* a%d (%e#%a))*

    a"")(ed )oad+. Load+ (% !e ANSYS "#o'#a$ a#e d(/(ded (%o +(9 &ae'o#(e+;

    DOF Co%+#a(%+

    Fo#&e+

    S#fa&e Load+

    od* Load+

    I%e#(a Load+

    Co")ed-f(e)d Load+

    Yo &a% a"")* $o+ of !e+e )oad+ e(!e# o% !e +o)(d $ode) =5e* "o(%+, )(%e+, a%d

    a#ea+> o# !e f(%(e e)e$e% $ode) =%ode+ a%d e)e$e%+>.

    To ($"o#a% )oad-#e)aed e#$+ *o %eed o 5%o a#e )oad +e" a%d + +e". A )oad

    +e" (+ +($")* a &o%f('#a(o% of )oad+ fo# !(&! *o oa(% a +o)(o%. I% a

    +#a) a%a)*+(+, fo# e9a$")e, *o $a* a"")* (%d )oad+ (% o%e )oad +e" a%d

    '#a/(* (% a +e&o%d )oad +e". Load +e"+ a#e a)+o +ef) (% d(/(d(%' a #a%+(e% )oad

    !(+o#* /e (%o +e/e#a) +e'$e%+.

    S +e"+ a#e (%e$e%a) +e"+ a5e% (!(% a )oad +e". Yo +e !e$ $a(%)* fo#

    a&a&* a%d &o%/e#'e%&e "#"o+e+ (% #a%+(e% a%d %o%)(%ea# a%a)*+e+. S +e"+ a#e

    a)+o 5%o% a+ ($e +e"+ a5e% o/e# a "e#(od of ($e.

    I%((a(%' !e So)(o%

    To (%((ae +o)(o% &a)&)a(o%+, +e e(!e# of !e fo))o(%';

    Co$$a%d=+>; SOLVE

    GI; Ma(% Me%So)(o%C##e% LS

    8!e% *o (++e !(+ &o$$a%d, !e ANSYS "#o'#a$ a5e+ $ode) a%d )oad(%'(%fo#$a(o% f#o$ !e daaa+e a%d &a)&)ae+ !e #e+)+. Re+)+ a#e #(e% o !e

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    #e+)+ f()e =o%a$e.RST, o%a$e.RTH, o%a$e.RMG, o# o%a$e.RFL> a%d a)+o

    o !e daaa+e. T!e o%)* d(ffe#e%&e (+ !a o%)* o%e +e of #e+)+ &a% #e+(de (% !e

    daaa+e a o%e ($e, !()e *o &a% #(e a)) +e+ of #e+)+ =fo# a)) + +e"+> o !e

    #e+)+ f()e.

    Re/(e !e Re+)+

    O%&e !e +o)(o% !a+ ee% &a)&)aed, *o &a% +e !e ANSYS "o+"#o&e++o#+ o

    #e/(e !e #e+)+.

    Gene(a Ste-s

    Se" 1; A%+*+ ()(* Me%

    F()e - &)ea# a%d +a# %e - do %o #ead f()e - o5

    F()e - &!a%'e o %a$e - e%e# %e o %a$e - 9999 - o5 F()e - &!a%'e ()e - e%e#

    %e ()e - *** - o5

    Se" 2; A%+*+ Ma(% Me% - P#efe#e%&e+ +e)e& - STRCTRAL - o5

    Se" 3; P#e"#o&e++o#

    E)e$e% *"e - +e)e& *"e of e)e$e% f#o$ !e a)e a%d !e #e(#ed o"(o%+

    Rea) &o%+a%+ - '(/e !e dea()+ +&! a+ !(&5%e++, a#ea+, $o$e% of (%e#(a, e&.

    #e(#ed de"e%d(%' o% !e %a#e of !e "#o)e$.

    Mae#(a) P#o"e#(e+ - '(/e !e dea()+ +&! a+ Yo%'+ $od)+, Po(++o%+ #a(o e&.

    de"e%d(%' o% !e %a#e of !e "#o)e$.

    Se" 4; Mode)(%' - eae !e #e(#ed 'eo$e#* +&! a+ %ode+ e)e$e%+, a#ea, a%d

    /o)$e * +(%' !e a""#o"#(ae o"(o%+.

    Se" ; Ge%e#ae - E)e$e%+ %ode+ +(%' Me+! Too) (f %e&e++a#* =(% 2D a%d 3D

    "#o)e$+>

    Se"?; A"")* o%da#* &o%d((o%+)oad+ +&! a+ DOF &o%+#a(%+, Fo#&eMo$e%$,

    P#e++#e e&.

    Se" ; So)(o% - So)/e !e "#o)e$

    Se" ; Ge%e#a) Po+ P#o&e++o# - ")o )(+ !e #e(#ed #e+)+.

    Se" J; P)o )+ - a%($ae - defo#$ed +!a"e - def%defo#$ed-o5

    Se" 10; To +a/e !e +o)(o% a%+*+ oo) a#- +a/e,,,,,,, $ode)

    PROLEMS SOLVED Y SING THE ANSYS SOFT8ARE

    CANTILE0ER BEAM WITH POINT LOADS

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    C$!-%te a *en&in) !$!ent 3 shea( '$(+e '$( the *ea! sh$,n in the 'i)%(e 3 'in&the !a4i!%! &e'e+ti$n Ass%!e (e+tan)%a( +6s a(ea $' 72879! "$%n);s!$&%%s $' 217G-a 3 -$is$ns (ati$ $' 72.

    Se" 4; So)(o%Def(%e )oad+ - a"")* - S#a) D(+")a&e$e%- o% Node+- "(&5 %ode 1 - a"")*

    DOF+ o e &o%+#a(%ed - ALL DOF - o5.

    Def(%e )oad+ - a"")* - S#a) - Fo#&eGMo$e% - o% Node+- "(&5 %ode 2 3 -

    a"")* -d(#e&(o% of Fo#Mo$ - FY - Fo#&eMo$e% /a)e =-20e3> =-/e /a)e> o5 -

    Node+- "(&5 %ode- 4 - a"")* - d(#e&(o% of Fo#Mo$ - FY - Fo#&eMo$e% /a)e =-

    10e3> =-/e /a)e> - O5.

    Se" ; So)(o%

    So)/e - #e% LS - o5 =So)(o% (+ do%e (+ d(+")a*ed> - &)o+e.

    Se"?; Ge%e#a) Po+ P#o&e++o#P)o Re+)+ - Defo#$ed S!a"e - def%defo#$ed - o5.

    P)o Re+)+ - Co%o# ")o - Noda) +o) - DOF +o)(o% Y &o$"o%e% of d(+")a&e$e%

    - o5.

    E)e$e% a)e - Def(%e a)e - Add - Re+)+ daa (e$ * See%&e %$ -

    SMISC - SMISC, 3 - a"")*, * See%&e %$ - SMISC - SMISC, 1? - a"")*,

    * See%&e %$ - SMISC - SMISC, ? - a"")*, * See%&e %$ - SMISC -

    SMISC, 1J - o5 - &)o+e.

    NOTE; Fo# S!ea# Fo#&e D(a'#a$ +e !e &o$(%a(o% SMISC ? SMISC 1J, fo#

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    e%d(%' Mo$e% D(a'#a$ +e !e &o$(%a(o% SMISC 3 SMISC 1?.

    Se"; Ge%e#a) Po+ P#o&e++o#

    P)o #e+)+ - &o%o# ")o - L(%e E)e$e% Re+)+ - E)e$ a)e (e$ a %ode I SMIS3

    - E)e$ a)e (e$ a %ode SMIS1? - o5 =S!ea# fo#&e d(a'#a$ ()) e d(+")a*ed>.

    P)o #e+)+ - &o%o# ")o - L(%e E)e$e% Re+)+ - E)e$ a)e (e$ a %ode I - SMIS?

    - E)e$ a)e (e$ a %ode SMIS1J - o5 =e%d(%' $o$e% d(a'#a$ ()) e d(+")a*ed>.

    L(+ Re+)+ - #ea&(o% +o)(o% - (e$+ o e )(+ed - A)) (e$+ - o5 =#ea&(o% fo#&e+

    ()) e d(+")a*ed (! !e %ode %$e#+>.

    L(+ Re+)+ - Noda) )oad+ - (e$+ o e )(+ed - A)) (e$+ - o5 =Noda) )oad+ ()) e

    d(+")a*ed (! !e %ode %$e#+>.

    Se"; P)o C#)+ - A%($ae - Defo#$ed #e+)+ - DOF +o)(o% - o5.

    Res%ts

    1. Ma9($$ def)e&(o%

    2. S!ea# fo#&e

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    3. e%d(%' $o$e%

    SIMPLY SUPPORTED BEAM WITH UNIFORMLY DISTRIBUTED LOAD

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    C$!-%te a *en&in) !$!ent 3 shea( '$(+e '$( the *ea! sh$,n in the 'i)%(e 3 'in&the !a4i!%! &e'e+ti$n Ass%!e (e+tan)%a( +6s a(ea $' 72879! "$%n);s!$&%%s $' 217G-a 3 -$is$ns (ati$ $' 72

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    SMISC -

    SMISC, 3 - a"")*, * See%&e %$ - SMISC - SMISC,1? - a"")*, *

    See%&e %$ -

    SMISC - SMISC, ? - a"")*, * See%&e %$ - SMISC - SMISC, 1J - o5 - &)o+e.

    NOTE; Fo# S!ea# Fo#&e D(a'#a$ +e !e &o$(%a(o% SMISC ? SMISC 1J, fo#e%d(%' Mo$e% D(a'#a$ +e !e &o$(%a(o% SMISC 3 SMISC 1?.

    Se"; Ge%e#a) Po+ P#o&e++o#

    P)o #e+)+ - &o%o# ")o - L(%e E)e$e% Re+)+ - E)e$ a)e (e$ a %ode I SMIS?

    - E)e$ a)e (e$ a %ode SMIS1J - o5 =S!ea# fo#&e d(a'#a$ ()) e d(+")a*ed>.

    P)o #e+)+ - &o%o# ")o - L(%e E)e$e% Re+)+ - E)e$ a)e (e$ a %ode I SMIS3

    - E)e$ a)e (e$ a %ode - SMIS1? - o5 =e%d(%' $o$e% d(a'#a$ ()) e d(+")a*ed>.

    L(+ Re+)+ - #ea&(o% +o)(o% - (e$+ o e )(+ed - A)) (e$+ - o5 =#ea&(o% fo#&e+

    ()) e d(+")a*ed (! !e %ode %$e#+>.

    L(+ Re+)+ - Noda) )oad+ - (e$+ o e )(+ed - A)) (e$+ - o5 =Noda) )oad+ ()) e

    d(+")a*ed (! !e %ode %$e#+>.

    Se" ;

    P)o C#)+ - A%($ae - Defo#$ed #e+)+ - DOF +o)(o% - SM - o5.

    Res%ts

    1. Ma9($$ def)e&(o%

    2. e%d(%' $o$e%

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    3. S!ea# fo#&e

    SIMPLY SUPPORTED BEAM WITH UNIFORMLY 0ARYING LOAD

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    C$!-%te a *en&in) !$!ent 3 shea( '$(+e '$( the *ea! sh$,n in the 'i)%(e 3 'in&the !a4i!%! &e'e+ti$n Ass%!e (e+tan)%a( +6s a(ea $' 72879! "$%n);s!$&%%s $' 217G-a 3 -$is$ns (ati$ $' 72.

    Se" 4; So)(o%

    Def(%e )oad+ - a"")* - S#a) - D(+")a&e$e% - o% Node+- "(&5 %ode 1 - a"")* DOF+ o e &o%+#a(%ed - "(&5 %ode 4 - DOF+ o e &o%+#a(%ed - Y -o5.

    Def(%e )oad+ - a"")* - S#a) - P#e++#e - o% ea$+ - "(&5 e)e$e% eee% %ode+

    1 2 - a"")* - "#e++#e /a)e a %ode I - 0 =/a)e> - "#e++#e /a)e a %ode - 40000 -

    o5.

    Def(%e )oad+ - a"")* - S#a) - Fo#&eGMo$e% - o% Node+- "(&5 %ode 3 - a"")*

    -d(#e&(o% of fo#Mo$ - FY - Fo#&eMo$e% /a)e - -0000 =-/e /a)e> - o5.

    Se"; So)(o%

    So)/e - #e% LS - o5 =So)(o% (+ do%e (+ d(+")a*ed> - &)o+e.

    Se" ?; Ge%e#a) Po+ P#o&e++o#

    P)o Re+)+ - Defo#$ed S!a"e - def%defo#$ed - o5.

    P)o Re+)+ - Co%o# ")o - Noda) +o) - DOF +o)(o% - d(+")a&e$e% /e&o# +$ - o5.

    E)e$e% a)e - Def(%e a)e - Add - Re+)+ daa (e$ - * See%&e %$ -

    SMISC -SMISC, 3 - a"")*, * See%&e %$ - SMISC - SMISC, 1? - a"")*, *See%&e %$ - SMISC - SMISC, ? - a"")*, * See%&e %$ - SMISC - SMISC,

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    1J - o5 - &)o+e.

    NOTE; Fo# S!ea# Fo#&e D(a'#a$ +e !e &o$(%a(o% SMISC 3 SMISC 1?, fo#

    e%d(%' Mo$e% D(a'#a$ +e !e &o$(%a(o% SMISC ? SMISC 1J.

    Se" ; Ge%e#a) Po+ P#o&e++o#

    P)o #e+)+ - &o%o# ")o - L(%e E)e$e% Re+)+ - E)e$ a)e (e$ a %ode I - SMIS2

    - E)e$ a)e (e$ a %ode - SMIS - o5 =S!ea# fo#&e d(a'#a$ ()) e d(+")a*ed>.

    P)o #e+)+ - &o%o# ")o - L(%e E)e$e% Re+)+ - E)e$ a)e (e$ a %ode I - SMIS?

    - E)e$ a)e (e$ a %ode - SMIS12 - o5 =e%d(%' $o$e% d(a'#a$ ()) e d(+")a*ed>.

    L(+ Re+)+ - #ea&(o% +o)(o% - (e$+ o e )(+ed - A)) (e$+ - o5 =#ea&(o% fo#&e+

    ()) e d(+")a*ed (! !e %ode %$e#+>.

    L(+ Re+)+ - Noda) )oad+ - (e$+ o e )(+ed - A)) (e$+ - o5 =Noda) )oad+ ()) e

    d(+")a*ed (! !e %ode %$e#+>.

    Se" ; P)o C#)+ - A%($ae - Defo#$ed +!a"e - o5.

    Res%ts

    1. Ma9($$ def)e&(o%

    1.

    e%d(%' $o$e%

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    2. +!ea# fo#&e

    SIMPLY SUPPORTED BEAM WITH U0L 3 UDL 3 POINT LOAD

    C$!-%te a *en&in) !$!ent 3 shea( '$(+e '$( the *ea! sh$,n in the 'i)%(e 3 'in&the !a4i!%! &e'e+ti$n Ass%!e (e+tan)%a( +6s a(ea $' 72879! "$%n);s!$&%%s $' 217G-a 3 -$is$ns (ati$ $' 72

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    /a)e .#. f(#+ %ode> -a"")* =!(#d %ode (+ eaed> -3 =9 /a)e .#. f(#+ %ode> - o5

    =fo#! %ode (+ eaed> - 9, *, 6 )o&a(o% (% CS - 4 =9 /a)e .#. f(#+ %ode> - a"")*

    =f(f! %ode (+ eaed> - =9 /a)e .#. f(#+ %ode> -a"")* =+(9! %ode (+ eaed>.

    C#eae - E)e$e%+ - Ao %$e#ed - T!# Node+ - "(&5 %ode+ 1 o - a"")* - o5

    =e)e$e%+ a#e eaed !#o'! %ode+>.

    Se" 4; So)(o%

    Def(%e )oad+ - a"")* - S#a) - D(+")a&e$e% - o% Node+- "(&5 %ode 2 - a"")* DOF+ o e &o%+#a(%ed o5 "(&5 %ode - DOF+ o e &o%+#a(%ed Y o5 &)o+e.

    Def(%e )oad+ - a"")* - S#a) - P#e++#e - o% ea$+ - "(&5 e)e$e% eee% %ode+2 3 - a"")* - "#e++#e /a)e a %ode I - 0 =/a)e> - "#e++#e /a)e a %ode - 000 -o5.

    Def(%e )oad+ - a"")* - S#a) - Fo#&eGMo$e% - o% Node+- "(&5 %ode 4 - a"")*

    -d(#e&(o% of fo#Mo$ - FY - Fo#&eMo$e% /a)e - -10000 =-/e /a)e> - o5.

    Def(%e )oad+ - a"")* - S#a) - P#e++#e - o% ea$+ - "(&5 e)e$e% eee% %ode+

    2 3 - a"")* - "#e++#e /a)e a %ode I -000 =/a)e> - "#e++#e /a)e a %ode - 000

    o5.

    Se";So)(o%

    So)/e - #e% LS - o5 =So)(o% (+ do%e (+ d(+")a*ed> - &)o+e.

    Se" ?; Ge%e#a) Po+ P#o&e++o#

    P)o Re+)+ - Defo#$ed S!a"e - def%defo#$ed - o5.

    P)o Re+)+ - Co%o# ")o - Noda) +o) - DOF +o)(o% - d(+")a&e$e% /e&o# +$ - o5.

    E)e$e% a)e - Def(%e a)e - Add - Re+)+ daa (e$ - * See%&e %$ -

    SMISC - SMISC, 3 - a"")*, * See%&e %$ - SMISC - SMISC, 1? - a"")*,

    * See%&e %$ - SMISC - SMISC, ? - a"")*, * See%&e %$ - SMISC -

    SMISC, 1J - o5 - &)o+e.

    NOTE; Fo# S!ea# Fo#&e D(a'#a$ +e !e &o$(%a(o% SMISC 3 SMISC 1?, fo#e%d(%' Mo$e% D(a'#a$ +e !e &o$(%a(o% SMISC ? SMISC 1J.

    Se" ; Ge%e#a) Po+ P#o&e++o#

    P)o #e+)+ - &o%o# ")o - L(%e E)e$e% Re+)+ - E)e$ a)e (e$ a %ode I - SMIS2

    - E)e$ a)e (e$ a %ode - SMIS - o5 =S!ea# fo#&e d(a'#a$ ()) e d(+")a*ed>.

    P)o #e+)+ - &o%o# ")o - L(%e E)e$e% Re+)+ - E)e$ a)e (e$ a %ode I - SMIS?

    - E)e$ a)e (e$ a %ode - SMIS12 - o5 =e%d(%' $o$e% d(a'#a$ ()) e d(+")a*ed>.

    L(+ Re+)+ - #ea&(o% +o)(o% - (e$+ o e )(+ed - A)) (e$+ - o5 =#ea&(o% fo#&e+()) e d(+")a*ed (! !e %ode %$e#+>.

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    L(+ Re+)+ - Noda) )oad+ - (e$+ o e )(+ed - A)) (e$+ - o5 =Noda) )oad+ ()) e

    d(+")a*ed (! !e %ode %$e#+>.

    Se" ; P)o C#)+ - A%($ae - Defo#$ed +!a"e o5.

    Res%ts

    1. Ma9($$ def)e&(o%

    2. e%d(%' $o$e%

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    3. S!ea# fo#&e

    BEAM WITH ANGULAR LOADS ONE END HINGED AND AT THE OTHEREND ROLLER SUPPORT

    C$!-%te a *en&in) !$!ent 3 shea( '$(+e '$( the *ea! sh$,n in the 'i)%(e 3 'in&the !a4i!%! &e'e+ti$n Ass%!e (e+tan)%a( +6s a(ea $' 72879! "$%n);s!$&%%s $' 217G-a 3 -$is$ns (ati$ $' 72

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    )o&a(o% (% CS - 1 =9 /a)e .#. f(#+ %ode> - a"")* =+e&o%d %ode (+ eaed> - 2 =9

    /a)e .#. f(#+ %ode> - a"")* =!(#d %ode (+ eaed> - 3 =9 /a)e .#. f(#+ %ode> -

    a"")* =fo#! %ode (+ eaed> - 4 =9 /a)e .#. f(#+ %ode> - o5 =f(f! %ode (+ eaed>.

    C#eae - E)e$e%+ - Ao %$e#ed - T!# Node+ - "(&5 1 2 - a"")* - "(&5 2 3 -

    a"")* -"(&5 3 4 - a"")* - "(&5 4 - o5 =e)e$e%+ a#e eaed !#o'! %ode+>.

    C#eae - Node+ - Roae %ode+ CS - * a%')e+ - "(&5 %ode 2 - a"")* - ao %oda) 6-

    a9(+ - ?0 - a"")* - "(&5 %ode 3 - a"")* ao %oda) 6- a9(+ - 4 - a"")* - "(&5 %ode 4

    - a"")* - ao %oda) 6 - a9(+ - 30 - o5.

    Se" 4; So)(o%

    Def(%e )oad+ - a"")* - S#a) - D(+")a&e$e% - o% Node+- "(&5 %ode 1 - a"")* -DOF+ o e &o%+#a(%ed - a"")* - "(&5 %ode - a"")* - DOF+ o e &o%+#a(%ed Y -

    o5.

    Load+ - Def(%e )oad+ - a"")* - S#a) - Fo#&eGMo$e% - o% Node+- "(&5 %ode 2- a"")* - d(#e&(o% of Fo#GMo$ - FQ - Fo#&eGMo$e% /a)e =-100> =-/e /a)e> -

    a"")* - "(&5 %ode 3 - a"")* - d(#e&(o% of Fo#GMo$ - FQ - Fo#&eGMo$e% /a)e =-200> =-/e /a)e> - a"")* - "(&5 %ode 4 - a"")* - d(#e&(o% of Fo#Mo$ - FQ -Fo#&eMo$e% /a)e =-300> =-/e /a)e> - o5.

    Se" ; So)(o%So)/e - #e% LS - o5 =So)(o% (+ do%e (+ d(+")a*ed> - &)o+e.

    Se" ?; Ge%e#a) Po+ P#o&e++o#

    P)o Re+)+ - Defo#$ed S!a"e - def%defo#$ed - o5.

    P)o Re+)+ - Co%o# ")o - Noda) +o) - DOF +o)(o% - d(+")a&e$e% /e&o# +$ - o5.

    E)e$e% a)e - Def(%e a)e - Add - Re+)+ daa (e$ - * See%&e %$ -

    SMISC - SMISC, 3 - a"")*, * See%&e %$ - SMISC - SMISC, 1? - a"")*,

    * See%&e %$ - SMISC - SMISC, ? - a"")*, * See%&e %$ - SMISC -

    SMISC, 1J - o5 - &)o+e.

    NOTE; Fo# S!ea# Fo#&e D(a'#a$ +e !e &o$(%a(o% SMISC ? SMISC 1J, fo#

    e%d(%' Mo$e% D(a'#a$ +e !e &o$(%a(o% SMISC 3 SMISC 1?.

    Se"; Ge%e#a) Po+ P#o&e++o#

    P)o #e+)+ - &o%o# ")o - L(%e E)e$e% Re+)+ - E)e$ a)e (e$ a %ode I SMIS?

    - E)e$ a)e (e$ a %ode SMIS1J - o5 =S!ea# fo#&e d(a'#a$ ()) e d(+")a*ed>.

    P)o #e+)+ - &o%o# ")o - L(%e E)e$e% Re+)+ - E)e$ a)e (e$ a %ode I SMIS3

    - E)e$ a)e (e$ a %ode - SMIS1? - o5 =e%d(%' $o$e% d(a'#a$ ()) e d(+")a*ed>.

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    3. +!ea# fo#&e

    BEAM WITH MOMENT AND O0ERHANG

    C$!-%te a *en&in) !$!ent 3 shea( '$(+e '$( the *ea! sh$,n in the 'i)%(e 3 'in&the !a4i!%! &e'e+ti$n Ass%!e (e+tan)%a( +6s a(ea $' 72879! "$%n);s!$&%%s $' 217G-a 3 -$is$ns (ati$ $' 72

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    Mode)(%' - C#eae - Node+ - I% A&(/e CS - A"")* =f(#+ %ode (+ eaed> - 9, *, 6

    )o&a(o% (% CS - 2 =9 /a)e .#. f(#+ %ode> - a"")* =+e&o%d %ode (+ eaed> - 4 =9

    /a)e .#. f(#+ %ode> -a"")* =!(#d %ode (+ eaed> - ? =9 /a)e .#. f(#+ %ode> -

    a"")* =fo#! %ode (+ eaed> - =9 /a)e .#. f(#+ %ode> - o5 =f(f! %ode (+ eaed>.

    C#eae - E)e$e%+ - Ao %$e#ed - T!# Node+ - "(&5 1 2 - a"")* - "(&5 2 3 -

    a"")* -"(&5 3 4 - a"")* - "(&5 4 - o5 =e)e$e%+ a#e eaed !#o'! %ode+>.

    Se"4; So)(o%

    Def(%e )oad+ - a"")* - S#a) - D(+")a&e$e% - o% Node+- "(&5 %ode 1 - a"")* -

    DOF+ o e &o%+#a(%ed "(&5 %ode 4 - DOF+ o e &o%+#a(%ed Y - o5.

    Load+ - Def(%e )oad+ - a"")* - S#a) - Fo#&eGMo$e% - o% Node+- "(&5 %ode 2 -a"")* -d(#e&(o% of Fo#Mo$ - MK - Fo#&eMo$e% /a)e - 12000 =a%(&)o&5(+e, /e

    /a)e> - a"")* -"(&5 %ode 3 - a"")* - d(#e&(o% of Fo#GMo$ - FY - Fo#&eGMo$e%/a)e - -?000 =-/e /a)e> -a"")* - "(&5 %ode - a"")* - d(#e&(o% of Fo#GMo$ - FY- Fo#&eGMo$e% /a)e - -?000 =-/e /a)e> - o5.

    Se" ; So)(o%

    So)/e - #e% LS - o5 =So)(o% (+ do%e (+ d(+")a*ed> - &)o+e.

    Se" ?; Ge%e#a) Po+ P#o&e++o#

    P)o Re+)+ - Defo#$ed S!a"e - def%defo#$ed - o5.

    P)o Re+)+ - Co%o# ")o - Noda) +o) - DOF +o)(o% - d(+")a&e$e% /e&o# +$ - o5.

    E)e$e% a)e - Def(%e a)e - Add - Re+)+ daa (e$ - * See%&e %$ -

    SMISC - SMISC, ? - a"")*, * See%&e %$ - SMISC - SMISC, 1J - a"")*,

    * See%&e %$ - SMISC - SMISC, 3 - a"")*, * See%&e %$ - SMISC -

    SMISC, 1? - o5 - &)o+e.

    NOTE; Fo# S!ea# Fo#&e D(a'#a$ +e !e &o$(%a(o% SMISC ? SMISC 1J, fo#

    e%d(%' Mo$e% D(a'#a$ +e !e &o$(%a(o% SMISC 3 SMISC 1?.

    Se" ; Ge%e#a) Po+ P#o&e++o#P)o #e+)+ - &o%o# ")o - L(%e E)e$e% Re+)+ - E)e$ a)e (e$ a %ode I - SMIS2

    - E)e$ a)e (e$ a %ode - SMIS - o5 =S!ea# fo#&e d(a'#a$ ()) e d(+")a*ed>.

    P)o #e+)+ - &o%o# ")o - L(%e E)e$e% Re+)+ - E)e$ a)e (e$ a %ode I - SMIS?

    - E)e$ a)e (e$ a %ode - SMIS12 - o5 =e%d(%' $o$e% d(a'#a$ ()) e d(+")a*ed>.

    L(+ Re+)+ - #ea&(o% +o)(o% - (e$+ o e )(+ed - A)) (e$+ - o5 =#ea&(o% fo#&e+

    ()) e d(+")a*ed (! !e %ode %$e#+>.

    L(+ Re+)+ - Noda) )oad+ - (e$+ o e )(+ed - A)) (e$+ - o5 =Noda) )oad+ ()) e

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    d(+")a*ed (! !e %ode %$e#+>.

    Se" ; P)o C#)+ - A%($ae - Defo#$ed #e+)+ - DOF +o)(o% - SM - o5.

    Res%ts1. Ma9($$ def)e&(o%

    2. S!ea# fo#&e

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    3. e%d(%' $o$e%

    STEPPED BARS

    A ste--e& *a( is s%*.e+te& t$ $a&in) as sh$,n in 'i)%(e Ta=in) it as *a( ee!ent

    a N$&a &is-a+e!ent* St(esses in ea+h ee!ent+ Rea+ti$n at the 'i4e& s%--$(t Ass%!e E>2e5 N6!!2#

    PROCEDURE

    Se" 1;

    P#efe#e%&e+ +e)e& - STRCTRAL - o5

    Se" 2;

    P#e"#o&e++o#

    E)e$e% *"e - AddGEd(GDe)ee - Add - L(%5 - 3D f(%( +% 10 - o5 - &)o+e.

    Rea) &o%+a%+ - Add - o5 - #ea) &o%+a% +e %o - 1 - &G+ a#ea - 20 - a"")* - #ea)&o%+a% +e %o - 2 - &G+ a#ea - 400 - o5 - &)o+e.

    Mae#(a) P#o"e#(e+ - $ae#(a) $ode)+ - S#a) - L(%ea# - E)a+(& - I+o#o"(& - EQ

    - 2e PRQY 0.3 - o5,

    Se" 3; P#e"#o&e++o#

    Mode)(%' - C#eae 5e* "o(%+ - I% A&(/e CS - A"")* =f(#+ %ode (+ eaed> - 9, *, 6

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    )o&a(o% (% CS - 10 =9 /a)e .#. f(#+ %ode> - a"")* =+e&o%d %ode (+ eaed> - 9, *, 6

    )o&a(o% (% CS -20 =* /a)e .#. f(#+ %ode> - o5 =!(#d %ode (+ eaed> - 9, *, 6

    )o&a(o% (% CS -40 =* /a)e .#. f(#+ %ode> - o5 =fo#! %ode (+ eaed>.

    C#eae - E)e$e%+ - E)e$ A#(e+ - Mae#(a) %$e# - 1 - Rea) &o%+a% +e

    %$e# - 1 - o5 Ao %$e#ed - T!# Node+ - "(&5 1 2 - "(&5 2 3 - o5 =e)e$e%+

    a#e eaed !#o'! %ode+>.

    C#eae - E)e$e%+ - E)e$ A#(e+ - Mae#(a) %$e# - 2 - Rea) &o%+a% +e

    %$e# - 2 - o5 Ao %$e#ed - T!# Node+ - "(&5 2 3 - O5 =e)e$e%+ a#e eaed

    !#o'! %ode+>.

    Se" 4; So)(o%

    Def(%e )oad+ - a"")* - S#a) - D(+")a&e$e% - o% Node+- "(&5 %ode 4 - a"")*- DOF+ o e &o%+#a(%ed - A)) DOF - o5.

    Def(%e )oad+ - a"")* - S#a) - Fo#&eGMo$e% - o% Node+ "(&5 %ode 2 -

    a"")*- d(#e&(o% of fo#Mo$ - FQ - Fo#&eMo$e% /a)e 200e3 =/e /a)e> - o5.

    Se"; So)(o%

    So)/e - #e% LS - o5 =So)(o% (+ do%e (+ d(+")a*ed> - &)o+e.

    Se" ?; Ge%e#a) Po+ P#o&e++o#

    E)e$e% a)e - Def(%e a)e - Add -Re+)+ daa (e$ - * See%&e %$ - LS - LS1

    - * See%&e %$ - SMISC SMISC 1 - o5.

    Se"; Ge%e#a) Po+ P#o&e++o#

    P)o Re+)+ - Defo#$ed S!a"e - def%defo#$ed - o5.

    P)o #e+)+ - &o%o# ")o - L(%e E)e$e% Re+)+ - E)e$ a)e (e$ a %ode I - LS1 -

    E)e$ a)e (e$ a %ode - LS1 - o5 =L(%e S#e++ d(a'#a$ ()) e d(+")a*ed>.

    P)o #e+)+ - &o%o# ")o - L(%e E)e$e% Re+)+ - E)e$ a)e (e$ a %ode I - SMIS 1

    - E)e$ a)e (e$ a %ode - SMIS 1 - o5 =L(%e S#e++ d(a'#a$ ()) e d(+")a*ed>

    P)o Re+)+ - &o%o# ")o %oda) +o) DOF +o) Y &o$"o%e% of d(+")a&e$e%

    o5.

    L(+ Re+)+ - #ea&(o% +o)(o% - (e$+ o e )(+ed - A)) (e$+ - o5 =#ea&(o% fo#&e+

    ()) e d(+")a*ed (! !e %ode %$e#+>.

    L(+ Re+)+ - Noda) )oad+ - (e$+ o e )(+ed - A)) (e$+ - o5 =Noda) )oad+ ()) e

    d(+")a*ed (! !e %ode %$e#+>.

    Se" ;

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    P)o C#)+ - A%($ae - Defo#$ed +!a"e - def%defo#$ed-o5.

    Res%ts1. Noda) d(+")a&e$e%

    2. L(%e +#e++

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    BARS OF TAPERED CROSS SECTION AREA

    Dete(!ine the &is-a+e!ent at the n$&e 3 the (ea+ti$n at the 'i4e& s%--$(t

    E/a%ate st(esses in ea+h ee!ent#

    PROCEDURE

    Se" 1 P#efe#e%&e+

    Se)e& - STRCTRAL - o5

    Se" 2; P#e"#o&e++o#

    E)e$e% *"e - AddEd(De)ee - Add - EAM 3D f(%( +% 10 - o5- &)o+e.

    Rea) &o%+a%+ - Add - o5 - #ea) &o%+a% +e %o - 1 - o++-+e&(o%a) AREA 1 -2. -a"")* -o++-+e&(o%a) AREA 2 3. - o5. Mae#(a) P#o"e#(e+ - $ae#(a) $ode)+ -

    S#a) - L(%ea# - E)a+(& - I+o#o"(& - EQ - 2e - o5 - &)o+e.

    Se"3; P#e"#o&e++o#

    Mode)(%' - C#eae - Node+ - I% A&(/e CS - A"")* =f(#+ %ode (+ eaed> - 9, *, 6

    )o&a(o% (% CS =-120> =* /a)e .#. f(#+ %ode> - o5 =+e&o%d %ode (+ eaed> - 9, *, 6

    )o&a(o% (% CS =-240> =* /a)e .#. f(#+ %ode> - o5 =!(#d %ode (+ eaed>.

    C#eae - E)e$e%+ e)e$e% a#(e+ #ea) &o%+a% +e %o. 1- Ao %$e#ed- T!# Node+ - "(&5 1 2 - #ea) &o%+a% +e %o. 2- Ao %$e#ed - T!#

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    2. L(%e +#e++

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    BARS OF CONSTANT CROSS?SECTION AREA @2

    F$( the si!-e *a( sh$,n in 'i)%(e Dete(!ine the &is-a+e!ents st(ess 3 the(ea+ti$n The +6s $' the *a( is 577!!2 en)th is 1777!! 3 the "$%n);s !$&%%sE>2e5 n6!!2 Ta=e $a& P>1777N#

    PROCEDURESe" 1; P#efe#e%&e+

    Se)e& - STRCTRAL - o5

    Se" 2; P#e"#o&e++o#

    E)e$e% *"e - AddEd(De)ee - Add - L(%5 3D f(%( +% 10 - o5 - &)o+e.

    Rea) &o%+a%+ - Add - o5 - #ea) &o%+a% +e %o - 1 - &+ a#ea - 00 - o5.

    Mae#(a) P#o"e#(e+ - $ae#(a) $ode)+ - S#a) - L(%ea# - E)a+(& - I+o#o"(& - EQ -

    2.1e - o5 - &)o+e.

    Se" 3; P#e"#o&e++o#

    Mode)(%' - C#eae - Node+ - I% A&(/e CS - A"")* =f(#+ %ode (+ eaed> - 9, *, 6

    )o&a(o% (% CS - 1000 =9 /a)e .#. f(#+ %ode> - o5 =+e&o%d %ode (+ eaed>.

    C#eae - E)e$e%+ - Ao %$e#ed - T!# Node+ - "(&5 1 2 - o5 =e)e$e%+ a#e

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    eaed !#o'! %ode+>.

    Se" 4; So)(o%

    Def(%e )oad+ - a"")* - S#a) - D(+")a&e$e% - o% Node+- "(&5 %ode 2 - a"")*

    -DOF+ o e &o%+#a(%ed - A)) DOF - o5.

    Def(%e )oad+ - a"")* - S#a) - Fo#&eGMo$e% - o% Node+- "(&5 %ode 1 - a"")* -

    d(#e&(o% of Fo#Mo$ - FQ - Fo#&eMo$e% /a)e - 1000 =/e /a)e> - o5.

    Se" ; So)(o%

    So)/e - #e% LS - o5 =So)(o% (+ do%e (+ d(+")a*ed> - &)o+e.

    Se" ?; Ge%e#a) Po+ P#o&e++o#E)e$e% a)e - Def(%e a)e - Add -Re+)+ daa (e$ - * See%&e %$ - LS - LS1

    - * See%&e %$ SMISC SMISC 1- o5.

    Se" ; Ge%e#a) Po+ P#o&e++o#

    P)o Re+)+ - Defo#$ed S!a"e - def%defo#$ed - o5.

    P)o #e+)+ - &o%o# ")o - L(%e E)e$e% Re+)+ - E)e$ a)e (e$ a %ode I - LS1 -

    E)e$ a)e (e$ a %ode - LS1 - o5 =L(%e S#e++ d(a'#a$ ()) e d(+")a*ed> E)e$ a)e

    (e$ a %ode I - SMISC 1- E)e$ a)e (e$ a %ode - SMISC 1 - o5 =L(%e S#e++

    d(a'#a$ ()) e d(+")a*ed>.

    P)o Re+)+ - #ea&(o% +o)(o% %oda) +o)(o% DOF +o) o5 &)o+e.

    L(+ Re+)+ - #ea&(o% +o)(o% - (e$+ o e )(+ed - A)) (e$+ - o5 =#ea&(o% fo#&e+

    ()) e d(+")a*ed (! !e %ode %$e#+>.

    L(+ Re+)+ - Noda) )oad+ - (e$+ o e )(+ed - A)) (e$+ - o5 =Noda) )oad+ ()) e

    d(+")a*ed (! !e %ode %$e#+>.

    Se" ; P)o C#)+ - A%($ae - Defo#$ed +!a"e - def%defo#$ed-o5.

    Res%ts

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    1. Noda) d(+")a&e$e%

    2. L(%e +#e++

    TRUSSES

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    A '$%( *a( t(%ss ee!ent is sh$,n in 'i)%(e Dete(!ine the '$$,in)a N$&a &is-a+e!ent* St(ess in ea+h ee!ent+ Rea+ti$n at the s%--$(t

    Ass%!e "$%n);s !$&%%s is 2e5 N6!!2 a(ea $' ea+h ee!ent is 177!!2#

    PROCEDURESe" 1; P#efe#e%&e+

    Se)e& - STRCTRAL - o5

    Se"2; P#e"#o&e++o#

    E)e$e% *"e - AddEd(De)ee - Add - L(%5 3D f(%( +% 10 - o5 &)o+e.

    Rea) &o%+a%+ - Add - o5 - #ea) &o%+a% +e %o - 1 - &+ a#ea 100 - a"")* - #ea)

    &o%+a% +e %o - 2 - &+ a#ea 100 a"")* - #ea) &o%+a% +e %o 3 - &+ a#ea 100

    a"")* - #ea) &o%+a% +e %o - 4 - &+ a#ea 100 - o5 - &)o+e.

    Mae#(a) P#o"e#(e+ - $ae#(a) $ode)+ - S#a) - L(%ea# - E)a+(& - I+o#o"(& - EQ

    2e - o5 - &)o+e.

    Se" 3; P#e"#o&e++o#

    Mode)(%' - C#eae - Node+ - I% A&(/e CS - A"")* =f(#+ %ode (+ eaed> 92, *2,

    )o&a(o% (% CS 40, 0 =92 *2 /a)e .#. f(#+ %ode> - a"")* =+e&o%d %ode (+ eaed>

    93, *3, )o&a(o% (% CS 40, 30 =93, *3 /a)e .#. f(#+ %ode> - a"")* =!(#d %ode (+

    eaed> 94, *4, )o&a(o% (% CS 0,30 =94, *4 /a)e .#. f(#+ %ode> - o5 =fo#! %ode (+

    eaed>.

    C#eae - E)e$e%+ - E)e$ A#(e+ - Mae#(a) %$e# - 1 - Rea) &o%+a% +e %$e#

    - 1 o5 - Ao %$e#ed - T!# Node+ - "(&5 1 2 - a"")* -Rea) &o%+a% +e

    %$e# - 2 - "(&5 2 3 - a"")* -Rea) &o%+a% +e %$e# 3 - "(&5 3 1 - a"")*

    - Rea) &o%+a% +e %$e# 4 -"(&5 3 4 - o5 =e)e$e%+ a#e eaed !#o'! %ode+>.

    Se"4; So)(o%

    Def(%e )oad+ - a"")* - S#a) - D(+")a&e$e% - o% Node+ - "(&5 %ode 1 4 -a"")* - DOF+ o e &o%+#a(%ed - A)) DOF - o5 - o% Node+ - "(&5 %ode 2 -a"")* - DOF+ o e &o%+#a(%ed - HY - o5.

    Def(%e )oad+ - a"")* - S#a) - Fo#&eGMo$e% - o% Node+- "(&5 %ode 2 - a"")*

    - d(#e&(o% of Fo#GMo$ - FQ - Fo#&eGMo$e% /a)e - 20000 =/e /a)e> - o5 -

    S#a) - Fo#&eGMo$e% - o% Node+- "(&5 %ode 3 - a"")* - d(#e&(o% of Fo#GMo$

    - FY - Fo#&eGMo$e% /a)e =-2000 > =-/e /a)e> - o5.

    Se" ; So)(o% -So)/e - #e% LS - o5 =So)(o% (+ do%e (+ d(+")a*ed> - &)o+e.Se" ?; Ge%e#a) Po+ P#o&e++o#

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    2. L(%e +#e++

    3. S#e++ /a)e+

    PRINT ELEMENT TALE ITEMS PER ELEMENT

    UUUUU POST1 ELEMENT TALE LISTING UUUUU

    STAT CRRENT CRRENT

    ELEM LS1 SMIS1

    1 200.00 20000.2 -21. -21.

    3 -2.03 -20.3

    4 41.?? 41??.

    MINIMM VALES

    ELEM 2 2

    VALE -21. -21.

    MAQIMM VALES

    ELEM 1 1

    VALE 200.00 20000.TRUSSES

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    A '$%( *a( t(%ss ee!ent is sh$,n in 'i)%(e Dete(!ine the '$$,in)& N$&a &is-a+e!ente St(ess in ea+h ee!ent' Rea+ti$n at the s%--$(t

    Ass%!e "$%n);s !$&%%s is 2e5 N6!!2#

    PROCEDURESe" 1; P#efe#e%&e+

    Se)e& - STRCTRAL - o5

    Se"2; P#e"#o&e++o#

    E)e$e% *"e - AddEd(De)ee - Add - L(%5 3D f(%( +% 10 - o5 &)o+e.

    Rea) &o%+a%+ - Add - o5 - #ea) &o%+a% +e %o - 1 - &+ a#ea 1200- a"")* - #ea)

    &o%+a% +e %o -2 - &+ a#ea 1000 -o5 - &)o+e.

    Mae#(a) P#o"e#(e+ - $ae#(a) $ode)+ - S#a) - L(%ea# - E)a+(& - I+o#o"(& - EQ

    2e - o5 - &)o+e.

    Se" 3; P#e"#o&e++o#

    Mode)(%' - C#eae - Node+ - I% A&(/e CS - A"")* =f(#+ %ode (+ eaed> 92, *2,

    )o&a(o% (% CS 0, 00 =92 *2 /a)e .#. f(#+ %ode> - a"")* =+e&o%d %ode (+

    eaed> 93, *3, )o&a(o% (% CS 0, 00 =93, *3 /a)e .#. f(#+ %ode> - a"")* =!(#d

    %ode (+ eaed>.

    C#eae - E)e$e%+ - E)e$ A#(e+ - Mae#(a) %$e# - 1 - Rea) &o%+a% +e %$e#

    - 1 o5 - Ao %$e#ed - T!# Node+ - "(&5 1 2 - a"")* -Rea) &o%+a% +e

    %$e# - 2 - "(&5 2 3 -o5 =e)e$e%+ a#e eaed !#o'! %ode+>.

    Se"4; So)(o%Def(%e )oad+ - a"")* - S#a) - D(+")a&e$e% - o% Node+ - "(&5 %ode 1 3 -a"")* - DOF+ o e &o%+#a(%ed - A)) DOF- o5.

    Def(%e )oad+ - a"")* - S#a) - Fo#&eGMo$e% - o% Node+- "(&5 %ode 2 - a"")*

    - d(#e&(o% of Fo#GMo$ - FY - Fo#&eGMo$e% /a)e - 20000 =/e /a)e> - o5.

    Se" ; So)(o% -So)/e - #e% LS - o5 =So)(o% (+ do%e (+ d(+")a*ed> - &)o+e.

    Se" ?; Ge%e#a) Po+ P#o&e++o#E)e$e% a)e - Def(%e a)e - Add - Re+)+ daa (e$ - * See%&e %$ - LS - LS1- * See%&e %$ SMISC SMISC 1 - o5.

    Se" ; Ge%e#a) Po+ P#o&e++o#

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    P)o Re+)+ - Defo#$ed S!a"e - def%defo#$ed - o5.

    P)o #e+)+ - &o%o# ")o - L(%e E)e$e% Re+)+ - E)e$ a)e (e$ a %ode I - LS1 -

    E)e$ a)e (e$ a %ode LS 1 =L(%e S#e++ d(a'#a$ ()) e d(+")a*ed> - E)e$ a)e

    (e$ a %ode I - SMISC 1 - E)e$ a)e (e$ a %ode SMISC 1 =L(%e S#e++ d(a'#a$

    ()) e d(+")a*ed>.

    P)o #e+)+ - &o%o# ")o - Noda) +o)(o% - DOF +o)(o% - d(+")a&e$e% /e&o# +$ -

    o5.

    L(+ Re+)+ - #ea&(o% +o)(o% - (e$+ o e )(+ed - A)) (e$+ - o5 =#ea&(o% fo#&e+

    ()) e d(+")a*ed (! !e %ode %$e#+>.

    L(+ Re+)+ - Noda) )oad+ - (e$+ o e )(+ed - A)) (e$+ - o5 =Noda) )oad+ ()) e

    d(+")a*ed (! !e %ode %$e#+>.

    Se" ; P)o C#)+ - A%($ae - Defo#$ed +!a"e - def%defo#$ed-o5.

    Res%ts1. Noda) def)e&(o%

    2. L(%e +#e++

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    3. S#e++ /a)e+

    PRINT ELEMENT TALE ITEMS PER ELEMENT

    UUUUU POST1 ELEMENT TALE LISTING UUUUU

    STAT CRRENT CRRENT

    ELEM LS1 SMIS1

    1 -30.04? -3?0?.

    2 30.000 30000.

    MINIMM VALESELEM 1 1

    VALE -30.04? -3?0?.

    MAQIMM VALES

    ELEM 2 2

    VALE 30.000 30000.

    STRESS ANALYSIS OF A RECTANGULAR PLATE WITH A CIRCULAR HOLE

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    In the -ate ,ith a h$e %n&e( -ane st(ess 'in& &e'$(!e& sha-e $' the h$e 3&ete(!ine !a4i!%! st(ess &ist(i*%ti$n +$nsi&e( thi+=ness as 17!! Ass%!e"$%n);s !$&%%s as 217G-a -$is$ns (ati$ as 79 &ia!ete( $' the +i(+e as 17!!Ass%!e -ane ,ith thi+=ness as sh$,n in 'i)%(e#

    PROCEDURESe" 1; P#efe#e%&e+ - STRCTRAL - o5

    Se" 2; P#e"#o&e++o#

    E)e$e% *"e - AddGEd(GDe)ee - Add - So)(d - ad 4 %ode 12 - - o5 - o"(o%+ -

    e)e$e%e!a/(o# W3 - P)a%e +#e++ (! !(&5%e++ - o5 - &)o+e.

    Rea) &o%+a%+ - Add - o5 - #ea) &o%+a% +e %o - 1 - T!(&5%e++ 10$$ - o5.

    Mae#(a) P#o"e#(e+ - $ae#(a) $ode)+ - S#a) - L(%ea# - E)a+(& - I+o#o"(& - EQ -

    210eJ - PRQY - 0.3 - o5 - &)o+e.Se" 3; P#e"#o&e++o#

    Mode)(%' - C#eae - A#ea - Re&a%')e - * d($e%+(o%+ - Q1, Q2, Y1, Y2 - 0, 40, 0,

    2 - o5. C#eae - A#ea - C(#&)e - +o)(d &(#&)e - Q, Y, #ad(+ - 0, 0, a%d - o5.

    O"e#ae - oo)ea%+ - S#a& - A#ea+ - "(&5 a#ea !(&! (+ %o o e de)eed

    =#e&a%')e> - a"")* - "(&5 a#ea !(&! (+ o e de)eed =&(#&)e> - o5.

    Me+!(%' - Me+! Too) - Me+! A#ea+ - Me+! - "(&5 a)) - o5.

    Me+! Too) - Ref(%e - "(&5 a)) - Le/e) of #ef(%e$e% - 1 - o5.

    Se" 4; So)(o%

    Def(%e )oad+ - a"")* - S#a) - D(+")a&e$e% * +*$$e#* o% C - o% )(%e+ -

    +e)e& )(%e+ )ef oo$ )(%e+ of !e o9 - a"")* - DOF+ o e &o%+#a(%ed - ALL

    DOF - o5.

    Load+ - Def(%e )oad+ - a"")* - S#a) - Fo#&eGMo$e% - o% )(%e+ - +e)e& )(%e

    #('! )(%e of !e o9 - a"")* - d(#e&(o% of Fo#GMo$ - FQ - Fo#&eGMo$e% /a)e -

    10000 =/e /a)e> - o5.

    Se" ; So)(o% -So)/e - #e% LS - o5 =So)(o% (+ do%e (+ d(+")a*ed> - &)o+e.

    Se" ?; Ge%e#a) Po+ P#o&e++o#P)o Re+)+ - Defo#$ed S!a"e - def%defo#$ed - o5.

    P)o #e+)+- &o%o# ")o - E)e$e% +o) - S#e++ - Vo% M(++e+ S#e++ - o5 =!e+#e++d(+#((o% d(a'#a$ ()) e d(+")a*ed>.

    L(+ #e+)+ %oda) +o)(o% +#e++ - Vo% M(++e+ S#e++ o5. =T!e +#e++d(+#((o% d(a'#a$ ()) e d(+")a*ed>.

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    Se" ; P)o C#)+ - A%($ae - Defo#$ed +!a"e - def%defo#$ed-o5.

    Res%ts1. Defo#$a(o% of !e !o)e

    2. Vo% $(+e+ +#e++

    STRESS ANALYSIS OF A RECTANGULAR PLATE WITH GROO0E

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    In the -ate ,ith a h$e %n&e( -ane st(ess 'in& &e'$(!e& sha-e $' the s$i& -ate 3&ete(!ine !a4i!%! st(ess &ist(i*%ti$n +$nsi&e( thi+=ness as 9!! Ass%!e"$%n);s !$&%%s as 2e5 -$is$ns (ati$ as 79 &ia!ete( $' the +i(+e as 9!! Ass%!e-ane ,ith thi+=ness as sh$,n in 'i)%(e#

    PROCEDURE

    Se" 1; P#efe#e%&e+ - STRCTRAL - o5

    Se" 2; P#e"#o&e++o#

    E)e$e% *"e - AddGEd(GDe)ee - Add - So)(d - ad 4 %ode 12 - o5 - o"(o%+ -

    e)e$e%e!a/(o# W3 - P)a%e +#e++ (! !(&5%e++ - o5 - &)o+e.

    Rea) &o%+a%+ - Add - o5 - #ea) &o%+a% +e %o - 1 - T!(&5%e++ 3$$ - o5.

    Mae#(a) P#o"e#(e+ - $ae#(a) $ode)+ - S#a) - L(%ea# - E)a+(& - I+o#o"(& - EQ 2e - PRQY - 0.3 - o5 - &)o+e.

    Se" 3; P#e"#o&e++o#

    Mode)(%' - C#eae 5e* "o(%+ (% a&(/e CS a"")* =f(#+ %ode (+ eaed> 9,

    * )o&a(o% (% CS - 100, 0 =9, * /a)e+ .#. f(#+ %ode> a"")* 100, ?0 a"")*

    ?0, ?0 a"")* -?0, 40 a"")* 0, 30 a"")* 40, 40 a"")* 40, ?0 a"")* 0,

    ?0 a"")* o5 =a)) e)e$e%+ a#e eaed !#o'! %ode+>.

    Me+!(%' - Me+! Too) - Me+! "(&5 a#ea o5.

    Me+! Too) - Ref(%e - "(&5 a)) - Le/e) of #ef(%e$e% -2 - o5.

    Se" 4; So)(o%

    Def(%e )oad+ - a"")* - S#a) - D(+")a&e$e% - o% )(%e+ - +e)e& )(%e+ )ef )(%e of

    !e o9- a"")* - DOF+ o e &o%+#a(%ed - ALL DOF - o5.

    Load+ - Def(%e )oad+ - a"")* - S#a) - "#e++#e - o% )(%e+ - +e)e& )(%e #('!

    )(%e of !e o9 - a"")* - "#e++#e /a)e a %ode I 100 - "#e++#e /a)e a %ode

    100 =/e /a)e> - o5.

    Se" ; So)(o%

    So)/e - #e% LS - o5 =So)(o% (+ do%e (+ d(+")a*ed> - &)o+e.

    Se" ?; Ge%e#a) Po+ P#o&e++o#

    P)o Re+)+ - Defo#$ed S!a"e - def%defo#$ed - o5.

    P)o #e+)+- &o%o# ")o - E)e$e% +o) - S#e++ - Vo% M(++e+ S#e++ - o5 =!e+#e++d(+#((o% d(a'#a$ ()) e d(+")a*ed>.

    L(+ #e+)+ %oda) +o)(o% +#e++ - Vo% M(++e+ S#e++ o5. =T!e +#e++

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    d(+#((o% d(a'#a$ ()) e d(+")a*ed>.

    Se" ; P)o C#)+ - A%($ae - Defo#$ed +!a"e - def%defo#$ed-o5.

    Res%ts1. Defo#$a(o% of '#oo/e

    2. Vo% $(+e+ +#e++

    HARMONIC ANALYSIS OF A 2D COMPONENT

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    1 C$n&%+t a ha(!$ni+ '$(+e& (es-$nse test *" a--"in) a +"+i+ $a& ha(!$ni+at the en& $' the *ea! the '(e%en+" $' the $a& ,i *e /a(ie& '($! 1 t$ 177HY$%n);s !$&%%s > 2777e N6!!2 !$!ent $' ine(tia > 99e?! &ensit" > 79#

    PROCEDURESe"1; P#efe#e%&e+ S#a) O5.

    Se"2; P#e"#o&e++o#

    E)e$e% T*"e AddEd(De)ee Add ea$ 2 %ode 1 O5.

    Se"3;

    Mae#(a) "#o"e#(e+ Mae#(a) Mode)+ S#a) L(%ea# E)a+(& I+o#o"(& EQ

    20?00e?7 PRQY 0.37 De%+(* 30 -O5.

    Se"4; P#e"#o&e++o#Se&(o% &o$$o% +e&(o%+ 0.017 H0.01 o5.

    Mode)(%' C#eae We* "o(%+ I% A&(/e CS A"")* =f(#+ %ode (+ eaed> - 9, *, 6

    )o&a(o% (% CS -1 =9 /a)e .#. f(#+ %ode> - o5 =+e&o%d %ode (+ eaed>.

    Mode)(%' C#eae L(%e+ L(%e+ S#a('! L(%e "(&5 1 2 O5.

    Se"; P#e"#o&e++o#

    Me+!(%' +(6e &o%#o)+ $a%a) +(6e ')oa)- +(6e- %o. of d(/(+(o%+ - 100 O5

    &)o+e.

    Me+! )(%e+ Se)e& !e )(%e O5.

    Se"?; So)(o%

    A%a)*+(+ T*"e Ne a%a)*+(+ Ha#$o%(& O5.

    A%a)*+(+ O"(o%+ f)) #ea) ($a'(%a#* O5.

    Se"; So)(o%

    Def(%e )oad+ A"")* S#a) D(+")a&e$e% O% We* "o(%+ Se)e& !e %ode 1

    O5 A)) DOF O5.

    Def(%e Load+ A"")* S#a) Fo#&eMo$e% O% We* "o(%+ Se)e& - T!e

    f#ee e%d of !e ea$ O5 FY - =100> - O5.

    So)(o% Load Se" O"+ T($eF#ee%&* F#e a%d S +e"+ Ha#$o%(&

    F#ee%&* Ra%'e 0-1007 No. of S +e"+ 100 Se)e& Se""ed O5.

    Se"; So)(o% So)/e C##e% LS O5 C)o+e.

    Se"J; T($e !(+ "#o&e++o#

    Add daa DOF +o)(o% Y &o$"o%e% of d(+")a&e$e% o5 +e)e& !e f#ee e%d of

    !e ea$ o5 &)(&5 o% '#a"!.

    Se"10; Ca"#e ($a'e +a/e (.Res%ts

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    G#a"!+

    1. D(+")a&e$e%

    2. T($e

    THERMAL ANALYSIS

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    1 A '%(na+e ,a is !a&e %- $' insi&e sii+a *(i+= ,ith the(!a +$n&%+ti/it"15,6!= an& $%tsi&e !a)nesia *(i+= $' the(!a +$n&%+ti/it" J,6!= ea+h177!! thi+= The inne( an& $%te( s%('a+es a(e e4-$se& t$ '%i&s at te!-e(at%(es$' 27K+ 3 117K+ (es-e+ti/e" The +$nta+t (esistan+e is 7771!2=6, the heatt(ans'e( +$?e''i+ient '$( inne( an& $%te( s%('a+es >95,6!2= Fin& the heat '$,(ate th($%)h the ,a -e( %nit a(ea -e( %nit ti!e an& te!-e(at%(e &ist(i*%ti$na+($ss the ,a Ass%!e a(ea>1!2 an& the the(!a +$n&%+ti/it" '$( a (esistan+e)a- is 1,6!=#

    PROCEDURE

    Se"1; P#efe#e%&e+ T!e#$a) O5.

    Se"2; P#e"#o&e++o#

    E)e$e% T*"e AddEd(De)ee )(%5 3d &o%d&(o% 33- a"")* &o%/e&(o% 34

    O5.

    Se"3; P#e"#o&e++o#

    Rea) &o%+a%+ add add )(%5 33 o5 a#ea 1 o5 add )(%5 34 o5 -

    &o%/e&(o% +#fa&e a#ea 1 o5.

    Mae#(a) P#o"+ Mae#(a) Mode) T!e#$a) Co%d&(/(* I+o#o"(& WQQ 1.

    O5. Mae#(a) Ne Mode) WQQ 1 O5. Mae#(a) Ne Mode) WQQ 4.J

    O5. Mae#(a) Ne Mode) &o%/e&(o% HF 3 O5.

    Se"4;

    P#e"#o&e++o#Mode)(%' C#eae We* "o(%+ I% A&(/e CS A"")* Q 0.001 A"")*7 Q

    0.101 A"")*7 Q 0.1027 Q 0.202 Q 0.203o5.

    Mode)(%' C#eae e)e$e% e)e$e% a#(e+ &o%/e&(o% 34 #ea) &o%+a% +e

    4 o5- o(% =1, 2> =-?>- a"")* &o%d&(o% 33 - #ea) &o%+a% +e 1 o5 - o(% =2-

    3> =3-4> =4->- o5 &)o+e.

    Se"; So)(o%

    Def(%e Load+ A"")* T!e#$a) Te$"e#a#e O% %ode+ Se)e& %ode 1 Te$"

    Va)e - 20 O5.

    Def(%e Load+ A"")* T!e#$a) Te$"e#a#e O% %ode+ Se)e& %ode ? Te$"

    Va)e - 110 O5.

    Se"?; So)(o% So)/e C##e% LS O5 C)o+e.

    Se"; Ge%e#a) Po+ P#o&e++o#

    P)o Re+)+ Co%o# P)o Noda) So) DOF So)(o% Noda) Te$"e#a#e O5.

    L(+ #e+)+ %oda) +o) DOF +o) %oda) e$" o5.

    L(+ #e+)+ %oda) )oad+ !ea f)o #ae o5.

    Se";

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    Ca"#e !e ($a'e a%d +a/e (.

    ()(* Me% P)o C#)+ Ca"#e I$a'e Sa/e A+.

    Res%ts1. Hea f)o

    PRINT HEAT SMMED NODAL LOADS

    UUUUU POST1 SMMED TOTAL NODAL LOADS LISTING UUUUU

    LOAD STEP 1 SSTEP 1

    TIME 1.0000 LOAD CASE 0

    NODE HEAT

    1 -4J.2

    ? 4J.2

    TOTAL VALESVALE 0.21E-10

    2. Te$"e#a#e d(+#((o%

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    3. Te$" d(+#((o% ao++ !e a))

    PRINT TEMP NODAL SOLTION PER NODE

    UUUUU POST1 NODAL DEGREE OF FREEDOM LISTING UUUUU

    LOAD STEP 1 SSTEP 1

    TIME 1.0000 LOAD CASE 0

    NODE TEMP

    1 20.00

    2 ?0.31

    3 34.3?

    4 34J.4

    24J.?J

    ? 110.00

    MAQIMM ASOLTE VALES

    NODE 1

    VALE 20.00

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    P)o "a! (e$ o% '#a"! TEMPER o5.

    P)o "a! (e$ o% 'eo$e#* TEMPER o5.

    P)o "a! (e$ o% '#a"! GRAD o5.

    P)o "a! (e$ o% 'eo$e#* GRAD o5.

    Se"J;

    Ca"#e !e ($a'e a%d +a/e (.

    ()(* Me% P)o C#)+ Ca"#e I$a'e Sa/e A+.

    Res%ts1. Te$" d(+#((o%

    2. Geo$e#* TEMPER

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    3. G#a"! TEMPER

    4. Geo$e#* GRAD

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    . G#a"! GRAD

    MODE FREUENCY ANALYSIS OF BEAMS @17

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    1 O*tain the '(e%en+" 3 &i''e(ent !$&es $' /i*(ati$n '$( a +antie/e( *ea! *"!$&a ana"sis ,ith a )i/en &ata Y$%n);s !$&%%s >2e11N6!!2 !$!ent $'ine(tia > 99e?!! a(ea $' the *ea! >771!2 an& the &ensit" $' !ate(ia>

    9, *, 6 )o&a(o% (% CS 1 =9 /a)e .#. f(#+ %ode> - a"")* =+e&o%d %ode (+ eaed>.

    Se"; "#e"#o&e++o#

    Def(%e )oad+ A"")* S#a) D(+")a&e$e% O% %ode+ Se)e& !e e%d "o(%

    o% !e )ef O5 A)) DOF O5.

    Se"; +o)(o%A%a)*+(+ T*"e Ne a%a)*+(+ Moda) O5.

    A%a)*+(+ *"e - A%a)*+(+ O"(o%+ PCG )a%'o+ No. of $ode+ o e9#a& 3 %o.

    of $ode+ o e9"a%d 3 - &)o+e O5

    So)(o% So)/e C##e% LS O5 C)o+e.

    Se"?; Ge%e#a) Po+ P#o&e++o#

    a. Read Re+)+ La+ Se.

    Ge%e#a) Po+ P#o&e++o# P)o Re+)+ defo#$ed +!a"e def%defo#$ed o5.

    . Read Re+)+ f(#+ +e.

    Ge%e#a) Po+ P#o&e++o# P)o Re+)+ defo#$ed +!a"e def%defo#$ed o5.

    &. Read Re+)+ %e9 +e.

    Ge%e#a) Po+ P#o&e++o# P)o Re+)+ defo#$ed +!a"e def%defo#$ed o5.

    Noe; (f !e %o. !e $ode+ a#e $o#e !a% 3, !e% #e"ea !e "o(% C a'a(% a'a(%

    a&&o#d(%' o %o. of $ode+.

    Se";Re"o# 'e%e#ao# o/e##(e o5.

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    ()(* Me% P)o C#)+ Ca"#e I$a'e F()e Sa/e A+ O5.

    Res%tsMode+ of f#ee%&*

    1. F(#+ +e

    2. Ne9 +e

    3. La+ +e

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