DESIGN CALCULATION CALCULATION FOR National Aluminium
PROPOSED GLAZING SYSTEM for CURTAIN CURTAIN WALL WALL CW
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DESIGN CALCULATIONS FOR THE ALUMINIUM PROFILES I
G!n!ral " D!#i D!#i$n $n P%il P%ilo# o#o& o&%' %' T#e $%&$ose o! t#is 'a('%(ation is to desin A(%)ini%) G(a*in St&%'t%&e !o& its inte&it+, inte&it+, st&ent# and sta-i(it+ ve&i!i'ation. T#e &es%(t o! t#is 'on'(%sion is t#at t#e st&%'t%&e 'onside&ed ade%ate in )eetin t#e &e%i&ed o! desin '&ite&ia. ( Unit Unit of M!a# M!a#ur ur!!m!nt m!nt Unit o! )eas%&e)ent in desin s#a(( -e in et&i' s+ste).
II
D!#i$n Cal)ulation# " D!#i$ D!#i$n n Co*! Co*! an* an* r!f r!f!r !r!n !n)! )!++ S 11 Pa&t 1314413 St&%'t%&a( %se o! A(%)ini%). Code o! $&a'ti'e !o& desin 5ind 5ind (oads as $e& CP CP '#a$te& 8 1472 ( Mat!rial# A(%)ini%) A((o+ A((o+ $&o!i(e Se' No. 174" o! A((o+ 606 9 T6 !o& -ot# %((ion : T&anso) $ane(s T#e )od%(%s o! e(asti'it+ o! A(%)ini%) E ; 70000 Pa U(ti)ate endin st&ess 9 Po 8 < ; 160 Pa ; 160 N/))2 U(ti)ate Tensi(e St&ess 9 P a ; 1= Pa ; 1= N/))2 U(ti)ate S#ea& St&ess 9 Pv ; 0.6> Po ; 0.6>160 ; 46 Pa ; 46 N/))2 , Loa*in$ Dead Load 9 Se(! ?ei#t is 'onside&ed
5ind 5ind (oads @5L 'a('%(ated as $e& CP3 '#. asi' ?ind s$eed ass%)ed as "= )/s. asi' ?ind s$eed ; "=.0 )/se' - Loa* Loa* Com. Com.in inat atio ion# n# U(ti)ate (oad !a'to&s a&e 'onside&ed. / D!#i D!#i$n $n M!t% M!t%o* o* T#e ?ind (oad 'a('%(ations a&e done $&io& to '#e'B t#e a(%)ini%) $&o!i(es aainst t#e ?ind (oads. Win* loa* )al)ulation#+ 5ind 5ind (oads @5L 'a('%(ated as $e& CP3 '#.
asi' ?ind s$eed ; "=.0 )/se' Desin ?ind s$eed s ; S1 S2 S Revision 0 dated 27/11/2016
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5#e&e, To$o&a$#+ To$o&a$#+ !a'to&, S1 ; 1.0 Fo& t#e 'a('%(ation o! S2, &o%nd &o%#ness, -%i(din si*e and #ei#t a-ove &o%nd, !a'to& S2 ; 0.=2, as $e& CP3 C#a$te& 3 Pa&t 2, C(a%se " @S%&!a'e ?it# (a&e and !&e%ent o-st&%'tions i.e. Cit+ Cent&e, '(ass !o& ) ave&ae #ei#t as $e& t#e atta'#ed s#eets !o& t#e ?ind (oads see a$$endi a$$en di A. A. Statisti'a( !a'to&, S ; 1.0 Desin ?ind s$eed s ; "=.0 1.0 0.=2 1.0 Desin ?ind s$eed s ; 2."0 )/se' 5ind 5ind $&ess%&e ; B s2 9 'onstant ; 0.61 5ind $&ess%&e ; 0.61 @2."02 5ind 5ind $&ess%&e ; 6 N/)2 o& 0.6 N/)2 T#e )ai)%) and )ini)%) $&ess%&e 'o8e!!i'ients a&e, C$ ; H0.7, and 80., Sin'e 0.7 is (ess t#an 0. and 'onside&in t#e (a&e 'o8e!!i'ients to 'a('%(ate t#e )ai)%) ?ind $&ess%&e a'tin on t#e s%&!a'e eit#e& %$?a&ds o& do?n?a&ds to &esist t#e %(ti)ate ?ind (oad -+ t#e st&%'t%&e. ai)%) 5ind 5ind P&ess%&e @s%'tion ; C$ > ai)%) 5ind 5ind P&ess%&e @s%'tion ; 80.0 > 0.6 ai)%) 5ind 5ind P&ess%&e @s%'tion ; 0.264 N/)2
DESIGN CALCULATIONS FOR THE MULLION ALUMINIUM PROFILE SECTION ",01D!#i$n of Aluminium S!)tion# 2Mullion# &an!l#3+
T#e A(%)ini%) $&o!i(e %sed !o& %((ion and T&anso) $ane(s a&e sa)e i.e. 174" a(%)ini%) $&o!i(e %sed -%t on(+ t#e di!!e&en'e is t#e t&anso) $ane(s a&e o! )ai)%) (ent# o! 1.2=0 ) 'onne'ted 'o nne'ted -et?een t#e %((ions, ?#e&e as t#e %((ion is 'onside&ed to -e s%$$o&ted at s(a-s 2.60).
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en'e, on(+ t#e %((ion is to -e '#e'Bed !o& t#e )o)ent o! &esistan'e, s#ea& &esistan'e and de!(e'tion. S$a'in -et?een t#e %((ions ; 1.2=0 ) '/' ai)%) ?ind (oad on %((ion ; 1.2=0 > 0.264 ai)%) ?ind (oad on %((ion ; 0.6 N/) ai)%) endin o)ent d%e to ?ind (oad !o& a s$an o! 2.60 ) . @)a ; ? (2 / . @)a ; 0.6 > @2.602 / . @)a ; 0.2"N) T#e se'tion %sed is 174" !&o) G%(! Et&%sions @atta'#ed s#eet T#e o)ent o! &esistan'e o! t#e %((ion se'tion )%st -e (a&e& t#an a-ove va(%e. Cal)ulation of Mom!nt of R!#i#tan)! 2M R 3
R ; ; J > Po J ; Se'tiona( od%(%s T#e se'tion %sed is 174" !&o) G%(! Et&%sions and t#e se'tiona( )od%(%s J ; 1=.1"= '), J ; 1=1"= )) R ; ; 1=1"= > 160 R ; ; 2."2N) ?#i'# is &eate& t#an t#e 0.2"N) T#e o)ent o! Resistan'e is &eate& t#an t#e ai)%) endin )o)ent. C%!)4 for #%!ar r!#i#tan)!
d/t K "4 !o& se'tion to -e 'o)$a't d/t ; 44 / ; "4 ; "4 > 1.=0 ; 7. en'e t#e se'tion %sed is 'o)$a't. Revision 0 dated 27/11/2016
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ai)%) S#ea& !o&'e )a ; ?(/2 ai)%) S#ea& !o&'e )a ; 0.6 > 2.60 / 2 ai)%) S#ea& !o&'e )a ; 0."7 N S#ea& &esistan'e ; Av > Pv / M) S#ea& &esistan'e &esistan'e ; @2>>== > 46 / 1.2 st&ess
8 S%&!a'e a&ea is is 'onside&ed %nde& s#ea&
S#ea& &esistan'e ; 26." N and it is &eate& t#an t#e )ai)%) s#ea& !o&'e. en'e t#e a-ove se'tion is sa!e to %se as %((ions C%!)4 for D!fl!)tion+
; = 5L" / @" EI Note3 !o& (on te&) de!(e'tion %n8!a'to&ed (oad is 'onside&ed. K L / 17= E ; 70000 Pa 5 ; 0. > 1.2=0 > 0.264 ; 0.264 N/) Sin'e t#e %((ion is s%$$o&ted at a distan'e o! 2.60), S$an ; 2600)) I ; 7000 ))" as $e& t#e atta'#ed data !o& P&o!i(e 174" se'tion. ; = > @0.264 > @2600" /@" > 70000 > 7000 ; .1 )) L/17= ; 2600 / 17= L/17= ; 1".= )) K 1".=)) en'e t#e de!(e'tion is (ess t#an t#e $e&)issi-(e va(%es.
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Mullion Conn!)tion D!#i$n 5ra)4!t an* Conn!)tion to Mullion at 5ottom T#e -&a'Bet at -otto) o! t#e %((ion #as to &esist s#ea& !o&'e o& &ea'tion 'o)in !&o) t#e %((ion desin 'a('%(ations. &a'Bet 'onsists o! t?o t?o An(es An(es 120>100>10)) t#i'B and 1=0)) ?ide is 'onne'ted ?it# t#e 'on'&ete s%$$o&t ?it# 2 Nos 10 An'#o& An'#o& o(t and ?it# 2 Nos 10 t#o&o%# -o(t t#e $&o!i(e se'tion. ai)%) Rea'tion at t#e end ; 0."7 N T#e )ai)%) &ea'tion #as to -e &esisted -+ t#e -&a'Bet ?#i'# s#a(( -e in t%&n s%$$o&ted -+ t#e t#o&o%# and An'#o& o(ts. T#e &a'Bet ?i(( &esist t#e s#ea& !o&'e a'tin at t#e 'onne'tion ?#i'# s#a(( -e '#e'Bed !o& -endin st&esses. T#e Se'tiona( od%(%s is 'a('%(ated as )entioned -e(o?3 J ; I / + I ; o)ent o! Ine&tia I ; -d/12 I ; =>120 / 12 I ;720000 ))" J ; 720000 / 60 ; 12000 )) Se'tiona( od%(%s !o& t?o An(es ; 12000 > 2 ; 2"00 0 )) F(e%&a( st&esses !o& Stee( ; 27= N/))2 F(e%&a( St&ent# o! t#e )e)-e& ; Se'tiona( od%(%s > F(e%&a( st&esses o)ent a'tin on t#e ea'# -&a'Bet ; Load > distan'e o)ent ; "7 > 40/2 ; 1466=N)) T#e a-ove )o)ent #as to -e &esisted -+ t#e &esistin )o)ent as )entioned -e(o? R ; J > F+ Revision 0 dated 27/11/2016
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R ; 2"000 > 27= R ; 6600000N)) en'e, t#e )o)ent o! &esistan'e is )o&e t#an t#e &e%i&ed. D!#i$n of T%orou$% 5olt ( No# 6 M"7+
T#e t#o&o%# -o(ts a&e desined to &esist t#e )ai)%) s#ea& !o&'e a'tin at t#e -otto) oint ?it# t#e )ai)%) (oadin 'ondition as $e& t#e d&a?in t#is !o&'e #as to -e &esisted -+ t#e s#ea& 'a$a'it+ o! t#e -o(t. ai)%) S#ea& !o&'e at t#e %((ion end ; 0."7 N Usin 2 9 10)) dia -o(t, -o (t, S#ea& 'a$a'it+ o! ea'# -o(t ; 0."0 > 0.7= > 100 > 7=/1000 ; 11.7 N en'e, 28 10)) dia t#o&o%# -o(t %sed a&e sa!e aainst S#ea&.
C%!)4 t%! an)%or .olt *!#i$n+
ai)%) S#ea& !o&'e at t#e %((ion end ; 0.77 N Usin 2 9 10)) dia -o(t, S#ea& 'a$a'it+ o! ea'# -o(t ; 0."0 > 0.7= > 100 > 7=/1000 ; 11.7 N en'e, 28 10)) dia an'#o& an'# o& -o(ts %sed a&e sa!e aainst S#ea&.
5ra)4!t an* Conn!)tion to Mullion at To& T#e -&a'Bet at to$ o! t#e %((ion #as to &esist s#ea& !o&'e o& &ea'tion 'o)in !&o) t#e %((ion desin 'a('%(ations. %((ion is 'onne'ted ?it# a -&a'Bet 'onsists o! t?o An(es 120>100>10)) t#i'B and 1=0)) ?ide is 'onne'ted ?it# 2 Nos 10 t#o&o%# -o(t t#e $&o!i(e se'tion. T#is an(e -&a'Bets a&e 'onne'ted ?it# a o&i*onta( P(ate o! 2"0)) (ent#, 1=0)) ?ide o! 10)) t#i'B ?e(ded to a e&ti'a( e&ti'a( SS T%-e 100>100>")) t#i'B s%$$o&ted to t#e so!!it o! t#e 'on'&ete s(a- -+ a -ase $(ate $(ate o! 200>100>10)) t#i'B ?it# 2 Nos 10 An'#o& o(t and ?e(ded ?it# t#e SS T%-e T%-e se'tion. T#e )ai)%) &ea'tion #as to -e &esisted -+ t#e a-ove 'onne'tion is 0."7 N.
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T#e Conne'tion is -ein 'a&&ied o%t !o& t#e !o((o?in ite)s3 i. ii. iii. iii. iv. iv. v. vi. vii. vii. viii. i.
&a'Be &a'Bett An(e An(ess 120>1 120>100> 00>10) 10)) ) t#i'B t#i'B and 1=0)) 1=0)) ?ide ?ide 'onne 'onne'te 'ted d to %((ion T#o&o%# T#o&o%# o(ts o(ts -et? -et?een een &a' &a'Bet Bet An(e An(ess and and %((io %((ion n P&o!i( P&o!i(ee 2 Nos Nos 9 10 10 o(ts o&i*o o&i*onta nta(( P(ate P(ate o! 2"0)) 2"0)) (en (ent#, t#, 1=0)) 1=0)) ?ide ?ide and and 10)) 10)) t#i' t#i'B B T#o&o%# T#o&o%# o(t o(tss -et?ee -et?een n o&i*o o&i*onta nta(( P(ate P(ate and and &a'Be &a'Bett An( An(es es 2 Nos Nos 9 10 10 C#e'B C#e'B !o& !o& 5e 5e(d -et?e -et?een en o&i* o&i*ont onta( a( P(ate P(ate and SS SS T%-e T%-e 100>100 100>100>") >")) ) t#i'B St&ent St&ent# # and and Sta-i Sta-i(it (it+ + '#e'B '#e'B !o& SS T%-e T%-e 100>100 100>100>") >")) ) t#i' t#i'B B C#e'B C#e'B !o& !o& 5e 5e(d -et?e -et?een en ase ase P(at P(atee and SS T%-e T%-e 100>1 100>100> 00>")) ")) t#i'B t#i'B C#e'B e'B !o& ase P(ate C#e' C#e'B B !o& !o& An'#o n'#o&& o( o(tt 9 2 Nos Nos 10
5 0
1 0 0
0 1 0 5 0
1 0 0 7 2 4 5 0
5ra)4!t An$l!# "(78"778"7mm t%i)4 an* "/7mm 9i*! )onn!)t!* to Mullion
T#e &a'Bet ?i(( &esist t#e s#ea& !o&'e a'tin at t#e 'onne'tion ?#i'# s#a(( -e '#e'Bed !o& -endin st&esses. T#e Se'tiona( od%(%s is 'a('%(ated as )entioned -e(o?3 J ; I / + I ; o)ent o! Ine&tia
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I ; -d/12 I ; =>120 / 12 I ;720000 ))" J ; 720000 / 60 ; 12000 )) Se'tiona( od%(%s !o& t?o An(es ; 12000 > 2 ; 2"00 0 )) F(e%&a( st&esses !o& Stee( ; 27= N/))2 F(e%&a( St&ent# o! t#e )e)-e& ; Se'tiona( od%(%s > F(e%&a( st&esses o)ent a'tin on t#e ea'# -&a'Bet ; Load > distan'e o)ent ; "7 > 40/2 ; 277=N)) T#e a-ove )o)ent #as to -e &esisted -+ t#e &esistin )o)ent as )entioned -e(o? R ; J > F+ R ; 2"000 > 27= R ; 6600000N)) en'e, t#e )o)ent o! &esistan'e is )o&e t#an t#e &e%i&ed. T%orou$% 5olt# .!t9!!n 5ra)4!t An$l!# an* Mullion Profil! ( No# : M"7 5olt# D!#i$n of T%orou$% 5olt ( No# 6 M"7+
T#e t#o&o%# -o(ts a&e desined to &esist t#e )ai)%) s#ea& !o&'e a'tin at t#e oint ?it# t#e )ai)%) (oadin 'ondition as $e& t#e d&a?in t#is !o&'e #as to -e &esisted -+ t#e s#ea& 'a$a'it+ o! t#e -o(t. ai)%) S#ea& !o&'e at t#e %((ion end ; 0."7 N Usin 2 9 10)) dia -o(t, -o (t, S#ea& 'a$a'it+ o! ea'# -o(t ; 0."0 > 0.7= > 100 > 7=/1000 ; 11.7 N en'e, 28 10)) dia t#o&o%# -o(t %sed a&e sa!e aainst S#ea&. C%!)4 for Hori;ontal Plat! of (-7mm l!n$t%< "/7mm 9i*! an* "7mm t%i)4
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T#e o&i*onta( P(ate ?i(( &esist t#e -endin st&ess deve(o$ed -+ S#ea& !o&'e a'tin at t#e oint. T#e Se'tiona( od%(%s is 'a('%(ated as )entioned -e(o?3 J ; I / + I ; o)ent o! Ine&tia I ; -d/12 I ; 1=0>10 / 12 I ;12=00 ))" J ; 12=00 / = ; 2=00 )) Se'tiona( od%(%s ; 2=00 )) F(e%&a( st&esses !o& Stee( ; 27= N/))2 F(e%&a( St&ent# o! t#e )e)-e& ; Se'tiona( od%(%s > F(e%&a( st&esses o)ent a'tin on t#e ea'# -&a'Bet ; Load > distan'e o)ent ; "7 > 40 ; 4"2=N)) T#e a-ove )o)ent #as to -e &esisted -+ t#e &esistin )o)ent as )entioned -e(o? R ; J > F+ R ; 2=00 > 27= R ; 67=00N)) en'e, t#e )o)ent o! &esistan'e is )o&e t#an t#e &e%i&ed. T%orou$% 5olt# .!t9!!n Hori;ontal Plat! an* 5ra)4!t An$l!# ( No# : M"7 D!#i$n of T%orou$% 5olt ( No# 6 M"7+
T#e t#o&o%# -o(ts a&e desined to &esist t#e )ai)%) s#ea& !o&'e a'tin at t#e oint ?it# t#e )ai)%) (oadin 'ondition as $e& t#e d&a?in t#is !o&'e #as to -e &esisted -+ t#e s#ea& 'a$a'it+ o! t#e -o(t. ai)%) S#ea& !o&'e at t#e %((ion end ; 0."7 N
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Usin 2 9 10)) dia -o(t, -o (t, S#ea& 'a$a'it+ o! ea'# -o(t ; 0."0 > 0.7= > 100 > 7=/1000 ; 11.7 N en'e, 28 10)) dia t#o&o%# -o(t %sed a&e sa!e aainst S#ea&. C%!)4 for W!l* .!t9!!n Hori;ontal Plat! an* SHS Tu.! "778"778-mm t%i)4 C%!)4 for 9!l*+
A((o?a-(e S#ea& St&ess in 5e(d ; 220 N/))2 Ass%)in ")) t#i'B ?e(d, St&ent# o! 5e(d 5e(d $e& )) (ent# o! 5e(d 5e(d ; 0.707 > " > 220 ; 622 N St&ent# o! 5e(d 5e(d $e& )) (ent# o! 5e(d 5e(d ; 622 N Tota( Tota( St&ent# o! t#e 5e 5e(ded (ded Lent# ; Lent# > St&ent# o! 5e(d 5e(d $e& )) Re!e&&in to s#o$ d&a?in, T#e (ent# o! ?e(d avai(a-(e as $e& t#e s#o$ d&a?ins L ; 2>100 ; 200 )) en'e, t#e Tota( St&ent# o! t#e 5e(ded 5e(ded Lent# ; 622 > 200 ; 12"."0 N T#e ai)%) S#ea& !o&'e a'tin on t#e sa)e $osition is (ess t#an t#e St&ent# o ! 5e(d 5e (d at t#at $osition ?#i'# is sa!e. Resistin o)ent deve(o$ed -+ t#e 5e(d 5e(d ; 5e(d Ca$a'it+ > (eve& a&) 5e(d Ca$a'it+ ; 622 > 100 ; 62200N Leve& A&) 9 Distan'e ; 7=)) Resistin o)ent deve(o$ed -+ t#e 5e(d ; 62200 > 7= ; ".66=N) o)ent 'a%sed -+ t#e S#ea& !o&'e a'tin at a distan'e o! 7=)) on t#e o&i*onta( P(ate ; "7 > 7= ; 277=N)) en'e, t#e ")) t#i'B ?e(d a&o%nd t#e SS T%-e is sa!e aainst -ot# S#ea& and o)ent. Str!n$t% an* Sta.ilit' )%!)4 for SHS Tu.! "778"778-mm t%i)4
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T#e SS T%-e ?i(( &esist t#e -endin st&ess deve(o$ed -+ S#ea& !o&'e a'tin at t#e oint. T#e Se'tiona( od%(%s is 'a('%(ated as )entioned -e(o?3 J ; I / + I ; o)ent o! Ine&tia I ; -d/12 I ; @100>100 9 46 > 46 / 12 I ;12==""=. ))" J ; 12==""=. / =0 ; 2=10.4067 )) Se'tiona( od%(%s ; 2=10 )) F(e%&a( st&esses !o& Stee( ; 27= N/))2 F(e%&a( St&ent# o! t#e )e)-e& ; Se'tiona( od%(%s > F(e%&a( st&esses o)ent a'tin on t#e ea'# -&a'Bet ; Load > distan'e o)ent ; "7 > 00 ; 11100N)) T#e a-ove )o)ent #as to -e &esisted -+ t#e &esistin )o)ent as )entioned -e(o? R ; J > F+ R ; 2=10 > 27= R ; 6.40"N) en'e, t#e )o)ent o! &esistan'e is )o&e t#an t#e &e%i&ed.
C%!)4 for 5a#! Plat! "778(778"7mm t%i)4
T#e ase $(ate ?i(( &esist t#e -endin st&ess deve(o$ed -+ S#ea& !o&'e a'tin at t#e oint. T#e Se'tiona( od%(%s is 'a('%(ated as )entioned -e(o?3 J ; I / +
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I ; o)ent o! Ine&tia I ; -d/12 I ; 100>10 / 12 I ;. ))" J ; . / = ; 166.67 )) Se'tiona( od%(%s ; 1666.67 )) F(e%&a( st&esses !o& Stee( ; 27= N/))2 F(e%&a( St&ent# o! t#e )e)-e& ; Se'tiona( od%(%s > F(e%&a( st&esses o)ent a'tin on t#e ea'# -&a'Bet ; Load > distan'e o)ent ; "7 > 12= ; ="62=N)) T#e a-ove )o)ent #as to -e &esisted -+ t#e &esistin )o)ent as )entioned -e(o? R ; J > F+ R ; 1666.67 > 27= R ; "=,.N)) en'e, t#e )o)ent o! &esistan'e is )o&e t#an t#e &e%i&ed. C%!)4 for W!l* .!t9!!n 5a#! Plat! an* SHS Tu.! "778"778-mm t%i)4 C%!)4 for 9!l*+
A((o?a-(e S#ea& St&ess in 5e(d ; 220 N/))2 Ass%)in ")) t#i'B ?e(d, St&ent# o! 5e(d 5e(d $e& )) (ent# o! 5e(d 5e(d ; 0.707 > " > 220 ; 622 N St&ent# o! 5e(d 5e(d $e& )) (ent# o! 5e(d 5e(d ; 622 N Tota( Tota( St&ent# o! t#e 5e 5e(ded (ded Lent# ; Lent# > St&ent# o! 5e(d 5e(d $e& )) Re!e&&in to s#o$ d&a?in, T#e (ent# o! ?e(d avai(a-(e as $e& t#e s#o$ d&a?ins Revision 0 dated 27/11/2016
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L ; 2>100 ; 200 )) en'e, t#e Tota( St&ent# o! t#e 5e(ded 5e(ded Lent# ; 622 > 200 ; 12"."0 N T#e ai)%) S#ea& !o&'e a'tin on t#e sa)e $osition is (ess t#an t#e St&ent# o ! 5e(d 5e (d at t#at $osition ?#i'# is sa!e. C%!)4 t%! an)%or .olt *!#i$n ( : M"7+
ai)%) S#ea& !o&'e at t#e %((ion end ; 0.77 N Usin 1 9 10)) dia -o(t, S#ea& 'a$a'it+ o! ea'# -o(t ; 0."0 > 0.62 > 100 > 7=/1000 ; 4.0 N en'e, 18 10)) dia -o(t %sed a&e sa!e aainst S#ea&. Con)lu#ion+
A(( A(%)ini%) A(%)ini%) $&o!i(es a&e st&%'t%&a((+ s%!!i'ient and )eet its intended $%&$ose.
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Pae 1" o! 1"
