mono rail -design

7/26/2019 Mono Rail -design

1/93

Saudi Electricity Company

Central Region Branch

CONTENTS

SL.NO DESCRIPTION NO OF P!ES

" DESI!N OF CRNE !IRDER " # $

% DESI!N OF CORBEL " # %


2/93

Saudi Electricity Company

Central Region Branch

CONTRCT NO DTE "$

DOC()ENT TITLE INDEX PLANT DOCUMENT NO. SHEET N

ANALYSIS & DESIGN OF 132/13.8 kv S/S BUILDINGX RD8140 CE-019309

AL-KHALEE ! 132/13.8 kv S/S " 81#$

%IYADH SAUDI A%ABIA .O. NO - DG. CONT. SHT. -


3/93


4/93

.'$

%E'.

2


5/93

Saudi Electricity Company " "

Central Region Branch " "

DESI!N OF CRNE !IRDER 1

DT

Crane Capacity cc = 50.000 kN Refer Annexure-I

Weight of hoist (10 of Crane capacity! "# = 5.000 kN

Weight of Crane = $%.&00 kN Refer Annexure-I

'pan of the Crane ir)er " = %.&00 *

Centre to centre )istance of rai" (span of = 10.+50 *

crane ,ri)ge!

ini*u* approach of crane hook to the gantry = 0.%10 * Refer Annexure-I

Centre to centre )istance of crane #hee"s = $.000 * Refer Annexure-I

Impact Factor & ertica" = 1.$5

/oronta" = 0.100

Load Factor & I*pose) "oa) ertica" = 1.000

I*pose) "oa) /ori. = 1.000

2ea) "oa) = 1.000

2esign 'trength of stee" fy = $50 N3**4 A % ra)e stee"

0.%1 * (55! kN $%.&00 kN

10.+5 *

FI! '" CRNE SECTION

Reaction at "eft en) = (55x10.&6$%x10.+53$!310.+5

= %5.1% kN

7#o crane #hee"s on each gantry gir)er = $.5%8 kN3#hee"

LOD CLC(LTIONS&

* +ertical Load,

axi*iu* static #hee" "oa) say = $.5%8 kN

ax. I*pact "oa) = 1.$5 x $.5%8

= &0.91 kN

:actore) ;oa) = 1.00 x &0.910

= &0.91 kN

Assu*ing se"f #eight of rai" = 0.00 kN3*

'e"f #eight of gir)er /


6/93



DOC()ENT TITLE

DOC()ENT NO Sheet No

222 " OF $ %

= 5.500

:our #hee"s are resisting the tota" "atera" "oa) = 1.95

:actore) "atera" "oa) = 1.00 x 1.8

= 1.95 kN

)3I)() BENDIN! )O)ENT ND S0ER FORCE&

* +ertical Load,

Bending )oment

7he *axi*u* ,en)ing *o*ent un)er *oing "oa)s occurs #hen "ine of action of "oa)

an) centre of graity of the "oa)s are at eua" )istance fro* the centre of span.

$.900 * $ *

C. >: ;>A2'

&0.91 kN &0.91 kN

= = 1.$8kN3*

c

%.&00 *

Reaction,

= (&0.91 x($.9006&.900! 61.$9%x%.&03$!3 %.&00

= 51.15& kN

= (( $ x &0.91! 6 (1.$8 x %.&0!! -51.15&

= 8.&$ kN

axi*u* ?en)ing *o*ent occurs at c.

c (8.& x $.90! - (1. x $.9043$!

= 44."" kN-*

Shear Force

$ *

&0.91kN &0.91kN 1.$8kN3*

%.&0*

Reaction,& = (&0.91(%.&06&.&00! 6 (1.$8 x %.&043$!!3%.&0

Re5NoCONSTR(CTION OF "6%7"6.8 9+ S7S 2 8"%4 T !0(RND:

RI;D0

STR(CT(RL NL;SIS ND DESI!NCLC(LTION OF "6%7"6.8 9+ S7S B(ILDIN!

W/

W/

W)f

RA

antry

C.

R?

Reaction R?

R?

RA

C

RA

R?

RA

R


7/93



axi*u* Reaction R = -%.-8" kN

CONTRCT NO DTE &"$.'$.'$

DOC()ENT TITLEDOC()ENT NO Sheet No

CONSTR(CTION OF "6%7"6.8 9+ S7S 2 8"%4 T !0(RND: RI;D0

8'87NCC7DC7CS7''" % OF $ %

B* 0ori1ontal load,

Bending )oment

1.95 kN 1.95 kN

= =

c $*

%.&00 *

Reactions @- = (1.95 ($.900 6 &.900!!3%.&0

= 1.5+0 kN

= $ x 1.95 - 1.5+0

= 1.1%0 kN

axi*u* ?en)ing o*ent at c = 1.5+0 x $.9000

= &.$+ kN.*

Shear


8/93



/


9/93



Check if ax. shear stress A""o#a,"e shear stress 0ENCE SFE

DEFLECTION

A""o#a,"e )eFection for ertica" "oa)s = 'pan 3 %00 7a,"e 5 of ?' 5+50

= %&003%00

= 10.%%9 **




8'87NCC7DC7CS7''" = OF $ %

A""o#a,"e )eFection for horionta" "oa)s

= 'pan 3 500

= %&003500

= 1$.800 **

+ertical De@ection

$.$00 * $*

C. >: ;>A2'

$.5%8 kN $.5%8kN

1.$9% kN3*

c

%.&00 *

) =

) ((538&!(1.$9% x %&00E&!3($05000 x $$+000000!!6

(($5%8.000 x %&00J!3( % x $05000 x $.$+00


10/93



= 0.++ **

0.++ 1$.800 0ENCE SFE




8'87NCC7DC7CS7''" $ OF $ %

/

C/WA?;< />RID>N7A; 2


11/93

Ceel = 3#.11 P> = P;> (loa0 +e/ /olle' >eel)

P = 2.248 i+ = 1#.## P = L&CP (o/iAonal loa0)

a = #.853 in. = 21.66 mm a = - b;24 D a;6 (o/ S-a+e)

#.163

xo = -#.845

x1 = #.613

Ao = #.16$

A1 = 1.926

RR(max)=

RL(min)=

= = 2Ca;(b->)

xo = -1.#96D1.#95CD#.192Ce:(-6.#C)

x1 = 3.965-4.835C-3.965Ce:(-2.6$5C)

Ao = -#.981-1.4$9CD1.12#Ce:(1.322C)

A1 = 1.81#-1.15#CD1.#6#Ce:(-$.$#C)


14/93

MONORAIL BEAM ANALYSIS AND DESIGN

Bendin* Mo+ent) for Si+ple/Span'

x = 16.218 . = 4.94 m x = 1;2C(L-S;2) (locaion o max. momen /om le en0 o

*x = 233.29 -i+ = 316.34 .m *x = (P;2);(2CL)C(L-S;2):2D>;1###Cx;2C(L-x)

*' = 18.#2 -i+ = 24.44 .m *' = (P;2);(2CL)C(L-S;2):2

Lateral 0lan*e Bendin* Mo+ent fro+ 1or)ion for Si+ple/Span' (+e/ SS Seel ein *an

e = 12.25# in. #.31 m e = 0;2 (ame o/iA. loa0 aen a bo. lane)

a = 48.#22 a = SFR;(BCG)) , E=29### i an0 G=112## i

* = 2.35 -i+ 3.19 .m * = PCeCa;(2C(0-))C


15/93


,/a2i) Stre))e) for Si+ple/Span'

bx = 1#.85 i $4.82 *+a bx = *x;SxLb;/ = 211.68 Lb;/ = LbC12;/

&bx = 1#.91 i $5.24 *+a &bx = 12###Cb;(LbC12;(0;)) H= #.6#C&'

Y/a2i) Stre))e) for Si+ple/Span'

b' = 1#.5# i $2.38 *+a b' = *';S'

>n = 2.$4 i 18.9# *+a >n = *C12;(S';2) (>a/+in no/mal /e)

b'(oal) = 13.24 i 91.28 *+a b'(oal) = b'D>n

&b' = 2$.19 i 18$.5# *+a &b' = #.$5C&'

Co+.ined Stre)) Ratio for Si+ple/Span'

S.R. = 1.481 S.R. = bx;&bxDb'(oal);&b'

8ertical Deflection for Si+ple/Span'

P = 23.$## i+ 1#5.42 P = PDWDW (>io e/ical im+ac)

#.363# in. 9.22 mm P;2C(L-S);2;(24CECI)C(3CL:2-4C((L-S);2):2)D5C>;12###C

L;1#85

#.8$49 in. 22.22 mm Defl#+a2& 34

Bendin* Mo+ent) for O:erhan*'

*x = 124.51 -i+ 168.83 .m *x = (P;2)C(LoD(Lo-S))D>;1###CLo:2;2

*' = 1#.22 -i+ 13.85 .m *' = (P;2)C(LoD(Lo-S))

Lateral 0lan*e Bendin* Mo+ent fro+ 1or)ion for O:erhan*' #per ;SS Steel De)i*n Ma

e = 12.25# in. 311.15 mm e = 0;2 (ame o/iA. loa0 aen a bo. lane)

a = 48.#22 a = SFR;(BCG)) , E=29### i an0 G=112## i

* = 4.$1 -i+ 6.38 .m * = PCeCa;(0-)Ca/+in no/mal /e)

b'(oal) = 11.44 i $8.85 *+a b'(oal) = b'D>n

(max) = (max)

(/aio) = (/aio) = LC12;(max)

(allo>) = (allo>) = LC12;45#


16/93


&b' = 2$.19 i 18$.5# *+a &b' = #.$5C&' f.7 34 0

Co+.ined Stre)) Ratio for O:erhan*'

S.R. = #.663 S.R. = bx;&bxDb'(oal);&b' SR 34

8ertical Deflection for O:erhan*' (amin ll 0ein loa0, P >io im+ac, a en0 o o

P = 23.$## i+ 163.41 *+a P = PDWDW (>io e/ical im+ac)

#.1212 in. 3.#8 mm PCLo:2C(LDLo);(3CECI)D>;12###CLoC(4CLo:2CL-L:3D3CLo:3);(2

L;48$

#.1312 in. 3.33 mm Defl#+a2& 34

(max) = (max)

(/aio) = (/aio) = LoC12;(max)

(allo>) = (allo>) = LoC12;45#


17/93


Botto+ 0lan*e Bendin* #)i+plified&'

be = 9.### in. 228.6# mm *in. o! be = 12C o/ SC12 (eecie lane ben0in lenam = 3.#1$ in. $6.63 mm am = (b;2->;2)-(-) (>e/e! - = /a0i o ille)

* = 2#.42# in.-i+ 2.31 .m * = P>Cam

S = 1.$82 in.:3 292#4 mm S = beC:2;6

b = 11.46 i $9.## *+a b = *;S

&b = 2$.19 i 18$.5# *+a &b = #.$5C&'

Botto+ 0lan*e Bendin* per CMAA Specification No !" #$%%"&' (oe! o/ion i nelece0)

Local 0lan*e Bendin* Stre)) = Point %' (Sin conenion! D = enio

-$.8$ i -54.24 *+a

1.56 i 1#.$2 *+a

Local 0lan*e Bendin* Stre)) = Point -'

5.$# i 39.3# *+a

1$.91 i 123.52 *+a

Local 0lan*e Bendin* Stre)) = Point $'

$.8$ i 54.24 *+a

-1.56 i -1#.$2 *+a

Re)ultant Bia2ial Stre)) = Point %'

22.51 i 155.24 *+a

-5.9# i -4#.68 *+a

#.## i #.## *+a

25.9$ i 1$9.#$ *+a

> 0. 4

Re)ultant Bia2ial Stre)) = Point -' SR -% 0. 4

Re)ultant Bia2ial Stre)) = Point $' SR -!$9?

2#.18 i 139.15 *+a

5.9# i 4#.68 *+a

#.## i #.## *+a

1$.9$ i 123.93 *+a

xo = xo = xoCP>;a:2

Ao = Ao = AoCP>;a:2

x1 = x1 = x1CP>;a:2

A1 = A1 = A1CP>;a:2

x2 = x2 = -xo

A2 = A2 = -Ao

A = A = bxDb'D#.$5CAo

x = x = #.$5Cxo

xA = xA = # (ame0 neliible)

o = o = SFR


18/93


34 0. 4 %??@0

SR %!-%?

Chec for Structural Steel .olted connection'

ia o bol e0 o/ connecion = 5;87 ( 36 GRE)

= 16 mm


19/93

in.:4

in.:3

in.:4

in.:3

in.:4

in.:6


20/93

+le-+an)

, 1981)

(conine0)


21/93

2 34 0.25 O6

7 34 0.75 O6

SR > -%

384CECI)

l#allo&5 O6

l5 -9


22/93

O6

5 O6

an)

I)

l#allo&5 O6

(conine0)


23/93

f. 34 0.5 O6

= com+/eion)

?@07 4 $9 )i

Not O6

?@07 4 $9 )i

Not O6


24/93

$9 )i5 O6


25/93


Per AISC 9th Edition ASD Manual and CMAA Specification No !" #$%%"&

Input'

RL(min)=-4.2 RR(max)=23.6$

Monorail Si(e' L=14.$6 Lo=4.

Selec! S2#"96 x=$.193

De)i*n Para+eter)' S=#.$5

%eam &' = 36.258 i = 25# *+a

%eam Sim+le-S+an, L = 14.$6# . = 4.5## m

nb/ace0 Len, Lb = 14.$6# . = 4.5## m S2#"96

%en0in oe., b = 1.### = 1.### P=1$.633

e/an Len, Lo = 4.43# . = 1.35# m No+enclature

nb/ace0 Len, Lbo = 4.43# . = 1.35# m imenion in 77.

%en0in oe., bo = #.$39 = #.$39 S$%,9? Me+.er Propertie)'

Lie0 Loa0, P = 13.49# i+ = 6#.### = 28.2# in.:2 0; = 3.#$

= 4.4#8 i+;>eel = 19.61 P> = P;> (loa0 +e/ /olle' >eel)

P = 1.349 i+ = 6.## P = L&CP (o/iAonal loa0)

a = #.$18 in. = 18.25 mm a = - b;24 D a;6 (o/ S-a+e)

#.184

xo = -#.831

x1 = #.652

Ao = #.1$5

A1 = 1.854

RR(max)=

RL(min)=

= = 2Ca;(b->)

xo = -1.#96D1.#95CD#.192Ce:(-6.#C)

x1 = 3.965-4.835C-3.965Ce:(-2.6$5C)

Ao = -#.981-1.4$9CD1.12#Ce:(1.322C)

A1 = 1.81#-1.15#CD1.#6#Ce:(-$.$#C)


26/93



x = $.193 . = 2.19 m x = 1;2C(L-S;2) (locaion o max. momen /om le en0 o

*x = 64.41 -i+ = 8$.34 .m *x = (P;2);(2CL)C(L-S;2):2D>;1###Cx;2C(L-x)

*' = 4.$3 -i+ = 6.41 .m *' = (P;2);(2CL)C(L-S;2):2

Lateral 0lan*e Bendin* Mo+ent fro+ 1or)ion for Si+ple/Span' (+e/ SS Seel ein *an

e = 1#.15# in. #.26 m e = 0;2 (ame o/iA. loa0 aen a bo. lane)

a = 38.#22 a = SFR;(BCG)) , E=29### i an0 G=112## i

* = 1.1# -i+ 1.49 .m * = PCeCa;(2C(0-))C


27/93



bx = 4.68 i 32.3# *+a bx = *x;SxLb;/ = 1#8.66 Lb;/ = LbC12;/

&bx = 21.$5 i 15#.## *+a &bx = 12###Cb;(LbC12;(0;)) H= #.6#C&'


b' = 4.#8 i 28.14 *+a b' = *';S'

>n = 1.9# i 13.#8 *+a >n = *C12;(S';2) (>a/+in no/mal /e)

b'(oal) = 5.98 i 41.22 *+a b'(oal) = b'D>n

&b' = 2$.19 i 18$.5# *+a &b' = #.$5C&'


S.R. = #.435 S.R. = bx;&bxDb'(oal);&b'


P = 14.26# i+ 63.43 P = PDWDW (>io e/ical im+ac)

#.#361 in. #.92 mm P;2C(L-S);2;(24CECI)C(3CL:2-4C((L-S);2):2)D5C>;12###C

L;491#

#.3936 in. 1#.## mm Defl#+a2& 34


*x = $2.44 -i+ 98.23 .m *x = (P;2)C(LoD(Lo-S))D>;1###CLo:2;2

*' = 5.4$ -i+ $.42 .m *' = (P;2)C(LoD(Lo-S))

Lateral 0lan*e Bendin* Mo+ent fro+ 1or)ion for O:erhan*' #per ;SS Steel De)i*n Ma

e = 1#.15# in. 25$.81 mm e = 0;2 (ame o/iA. loa0 aen a bo. lane)

a = 38.#22 a = SFR;(BCG)) , E=29### i an0 G=112## i

* = 2.24 -i+ 3.#4 .m * = PCeCa;(0-)Ca/+in no/mal /e)

b'(oal) = 8.59 i 59.21 *+a b'(oal) = b'D>n

(max) = (max)

(/aio) = (/aio) = LC12;(max)

(allo>) = (allo>) = LC12;45#


28/93


&b' = 2$.19 i 18$.5# *+a &b' = #.$5C&' f.7 34 0


S.R. = #.536 S.R. = bx;&bxDb'(oal);&b' SR 34

8ertical Deflection for O:erhan*' (amin ll 0ein loa0, P >io im+ac, a en0 o o

P = 14.26# i+ 98.32 *+a P = PDWDW (>io e/ical im+ac)

#.#62$ in. 1.59 mm PCLo:2C(LDLo);(3CECI)D>;12###CLoC(4CLo:2CL-L:3D3CLo:3);(2

L;84$

#.1181 in. 3.## mm Defl#+a2& 34

(max) = (max)

(/aio) = (/aio) = LoC12;(max)

(allo>) = (allo>) = LoC12;45#


29/93



be = 9.### in. 228.6# mm *in. o! be = 12C o/ SC12 (eecie lane ben0in lenam = 2.63$ in. 66.9$ mm am = (b;2->;2)-(-) (>e/e! - = /a0i o ille)

* = 11.623 in.-i+ 1.31 .m * = P>Cam

S = 1.2$# in.:3 2#8#5 mm S = beC:2;6

b = 9.15 i 63.12 *+a b = *;S

&b = 2$.19 i 18$.5# *+a &b = #.$5C&'

Botto+ 0lan*e Bendin* per CMAA Specification No !" #$%%"&' (oe! o/ion i nelece0)

Local 0lan*e Bendin* Stre)) = Point %' (Sin conenion! D = enio

-$.1# i -48.92 *+a

1.5# i 1#.33 *+a


5.5$ i 38.42 *+a

15.84 i 1#9.22 *+a


$.1# i 48.92 *+a

-1.5# i -1#.33 *+a


9.89 i 68.19 *+a

-5.32 i -36.69 *+a

#.## i #.## *+a

13.3$ i 92.19 *+a

34 0. 4 %??@0

Re)ultant Bia2ial Stre)) = Point -' SR %

2#.65 i 142.36 *+a

4.18 i 28.81 *+a

#.## i #.## *+a

18.91 i 13#.36 *+a

34 0. 4 %??@0

Re)ultant Bia2ial Stre)) = Point $' SR %!9%%;a:2

Ao = Ao = AoCP>;a:2

x1 = x1 = x1CP>;a:2

A1 = A1 = A1CP>;a:2

x2 = x2 = -xo

A2 = A2 = -Ao


x = x = #.$5Cxo


o = o = SFR


30/93


34 0. 4 %??@0

SR %$


31/93

in.:4

in.:3

in.:4

in.:3

in.:4

in.:6


32/93

+le-+an)

, 1981)

(conine0)


33/93

2 34 0.25 O6

7 34 0.75 O6

34 -%5 O6

384CECI)

l#allo&5 O6

l5 -9


34/93

O6

5 O6

an)

I)

l#allo&5 O6

(conine0)


35/93

f. 34 0.5 O6

= com+/eion)

$9 )i5 O6

$9 )i5 O6


36/93

$9 )i5 O6


37/93



Input'

RL(min)=-3 RR(max)=1

Monorail Si(e' L=14.$6

Selec! S24"1#6 x=$.193


%eam &' = 36.258 i = 25# *+a

%eam Sim+le-S+an, L = 14.$6# . = 4.5## m

nb/ace0 Len, Lb = 14.$6# . = 4.5## m S24"1#6

%en0in oe., b = 1.### = 1.### P=1$.643



%en0in oe., bo = #.$39 = #.$39 S$",-%? Me+.er Propertie)'

Lie0 Loa0, P = 13.49# i+ = 6#.### = 31.1# in.:2 0; =

= 4.411 i+;>eel = 19.62 P> = P;> (loa0 +e/ /olle' >eel)

P = 1.416 i+ = 6.3# P = L&CP (o/iAonal loa0)

a = #.86# in. = 21.85 mm a = - b;24 D a;6 (o/ S-a+e)

#.163

xo = -#.845

x1 = #.613

Ao = #.16$

A1 = 1.926

RR(max)=

RL(min)=

= = 2Ca;(b->)

xo = -1.#96D1.#95CD#.192Ce:(-6.#C)

x1 = 3.965-4.835C-3.965Ce:(-2.6$5C)

Ao = -#.981-1.4$9CD1.12#Ce:(1.322C)

A1 = 1.81#-1.15#CD1.#6#Ce:(-$.$#C)


38/93



x = $.193 . = 2.19 m x = 1;2C(L-S;2) (locaion o max. momen /om le

*x = 51.9$ -i+ = $#.46 .m *x = ( &/om S


39/93



bx = 2.6# i 1$.92 *+a bx = *x;SxLb;/ = 95.23 Lb;/ = LbC12;/

&bx = 21.$5 i 15#.## *+a &bx = 12###Cb;(LbC12;(0;)) H= #.6#C&'


b' = 2.44 i 16.84 *+a b' = *';S'

>n = 1.85 i 12.$3 *+a >n = *C12;(S';2) (>a/+in no/mal /e)

b'(oal) = 4.29 i 29.56 *+a b'(oal) = b'D>n

&b' = 2$.19 i 18$.5# *+a &b' = #.$5C&'


S.R. = #.329 S.R. = bx;&bxDb'(oal);&b'


#.#11# in. #.28 mm (Ree/ S) = LC12;6## Defl#

ori(ontal Deflection for Si+ple/Span'

#.#321 in. #.82 mm (Ree/ S) = LC12;6## Defl#

P = 14.2$# i+ 63.48 P = PDWDW (>io e/ical im+ac)

#.#2#6 in. #.52 mm P;2C(L-S);2;(24CECI)C(3CL:2-4C((L-S);2):2)D5C

L;8586

#.3936 in. 1#.## mm


*x = 58.#9 -i+ $8.$6 .m *x = ( &/om S) =

(max) =

(allo>) =

(max) = (max)

(/aio) = (/aio) = LC12;(max)

(allo>) = (allo>) = LC12;45#


40/93


&bx = 23.93 i 165.## *+a &bx = #.66C&'

Y/a2i) Stre))e) for O:erhan*'

b' = 2.82 i 19.48 *+a b' = *';S'

>n = 3.93 i 2$.13 *+a >n = *C12;(S';2) (>a/+in no/mal /e)

b'(oal) = 6.$6 i 46.61 *+a b'(oal) = b'D>n

&b' = 2$.19 i 18$.5# *+a &b' = #.$5C&'


S.R. = #.426 S.R. = bx;&bxDb'(oal);&b'

8ertical Deflection for O:erhan*' (amin ll 0ein loa0, P >io im+ac, a

#.#224 in. #.5$ mm (Ree/ S) = LC12;6## Defl#

(max) =

(allo>) =


41/93


ori(ontal Deflection for O:erhan*'

#.#65# in. 1.65 mm (Ree/ S) = LC12;6## Defl#


be = 9.### in. 228.6# mm *in. o! be = 12C o/ SC12 (eecie lane ben0

am = 3.#1$ in. $6.63 mm am = (b;2->;2)-(-) (>e/e! - = /a0i o ille

* = 13.3#$ in.-i+ 1.5# .m * = P>Cam

S = 1.$82 in.:3 292#4 mm S = beC:2;6

b = $.4$ i 51.48 *+a b = *;S

&b = 2$.19 i 18$.5# *+a &b = #.$5C&'

Botto+ 0lan*e Bendin* per CMAA Specification No !" #$%%"&' (oe! o/ion i ne

Local 0lan*e Bendin* Stre)) = Point %' (Sin conenion! D

-5.#4 i -34.$3 *+a

1.## i 6.8$ *+a


3.65 i 25.1$ *+a

11.4$ i $9.1# *+a


5.#4 i 34.$3 *+a

-1.## i -6.8$ *+a


5.$9 i 39.9# *+a

-3.$8 i -26.#5 *+a

#.## i #.## *+a

9.51 i 65.55 *+a

34 0.

Re)ultant Bia2ial Stre)) = Point -' SR

13.64 i 94.#8 *+a

2.$4 i 18.8$ *+a

#.## i #.## *+a

13.$3 i 94.68 *+a

34 0.

Re)ultant Bia2ial Stre)) = Point $' SR

(max) =(allo>) =

xo = xo = xoCP>;a:2

Ao = Ao = AoCP>;a:2

x1 = x1 = x1CP>;a:2

A1 = A1 = A1CP>;a:2

x2 = x2 = -xo

A2 = A2 = -Ao


x = x = #.$5Cxo


o = o = SFR


42/93


4.29 i 29.6# *+a

3.$8 i 26.#5 *+a

#.## i #.## *+a

4.9# i 33.82 *+a

34 0.

SR



= 16 mm


43/93

9.46

Lo=4.43

2.86

294#.## in.:4

24#.## in.:3

$6.8# in.:4

19.5# in.:3

1#.1## in.:41#5##.# in.:6


44/93

en0 o im+le-+an)

in *anal, 1981)

2## i

(conine0)


45/93

f.2 34 0.25 O6

f.7 34 0.75 O6

SR 34 -%5 O6

a2& 34 Defl#allo&5 O6


;12###CL:4;(384CECI)

)i*n Manual5 -9


46/93

f.2 34 0.25 O6

f.7 34 0.75 O6

SR 34 -%5 O6

n0 o oe/an)



47/93


in len)

)

f. 34 0.5 O6

lece0)

= enion, - = com+/eion)

4 %??@07 4 $9 )i5 O6

%9!$?-"

4 %??@07 4 $9 )i5 O6

%!


48/93

4 %??@07 4 $9 )i5 O6

%$%"9?"


49/93



Input'

RL(min)=-3 RR(max)=1

Monorail Si(e' L=24.61

Selec! S18"$# x=12.118


%eam &' = 36.258 i = 25# *+a

%eam Sim+le-S+an, L = 24.61# . = $.5## m

nb/ace0 Len, Lb = 24.61# . = $.5## m S18"$#

%en0in oe., b = 1.### = 1.### P=$.145



%en0in oe., bo = #.$16 = #.$16 S- = #.$11 in. Sx =

?e/. Im+ac &aco/, ?i = 25.### @ = 25.### @ b = 6.25# in. I' =

o/A. Loa0 &aco/, L&(Lon) = 1#.### @ = 1#.### @ = #.691 in. S' =

o/A. Loa0 &aco/, L&(La) = 1#.### @ = 1#.### @ = 1.5## in. B = = 4.### = 4.### / = 1.36# in. > =

Weel S+acin, S = #.$5# . = #.23# m

iance on &lane, a = #.59 in. = 15 mm

Re)ult)' Support Reaction)' (>i oe/an)

19.46 i+ 86.58 = PC( &/om Seel)

P = #.56$ i+ = 2.52 P = L&CP (o/iAonal loa0)

a = #.529 in. = 13.43 mm a = - b;24 D a;6 (o/ S-a+e)

#.213

xo = -#.8#9

x1 = #.692

Ao = #.188

A1 = 1.$$1

RR(max)=

RL(min)=

= = 2Ca;(b->)

xo = -1.#96D1.#95CD#.192Ce:(-6.#C)

x1 = 3.965-4.835C-3.965Ce:(-2.6$5C)

Ao = -#.981-1.4$9CD1.12#Ce:(1.322C)

A1 = 1.81#-1.15#CD1.#6#Ce:(-$.$#C)


50/93



x = 12.118 . = 3.69 m x = 1;2C(L-S;2) (locaion o max. momen /om le

*x = 51.9$ -i+ = $#.46 .m *x = ( &/om S


51/93



bx = 6.#5 i 41.$5 *+a bx = *x;SxLb;/ = 21$.15 Lb;/ = LbC12;/

&bx = 9.$5 i 6$.22 *+a &bx = 12###Cb;(LbC12;(0;)) H= #.6#C&'


b' = 6.19 i 42.69 *+a b' = *';S'

>n = 1.29 i 8.91 *+a >n = *C12;(S';2) (>a/+in no/mal /e)

b'(oal) = $.48 i 51.6# *+a b'(oal) = b'D>n

&b' = 2$.19 i 18$.5# *+a &b' = #.$5C&'


S.R. = #.814 S.R. = bx;&bxDb'(oal);&b'


#.#11# in. #.28 mm (Ree/ S) = LC12;6## Defl#

ori(ontal Deflection for Si+ple/Span'

#.#321 in. #.82 mm (Ree/ S) = LC12;6## Defl#

P = 5.$4# i+ 25.53 P = PDWDW (>io e/ical im+ac)

#.1365 in. 3.4$ mm P;2C(L-S);2;(24CECI)C(3CL:2-4C((L-S);2):2)D5C

L;2164

#.6563 in. 16.6$ mm


*x = 58.#9 -i+ $8.$6 .m *x = ( &/om S) =

(max) =

(allo>) =

(max) = (max)

(/aio) = (/aio) = LC12;(max)

(allo>) = (allo>) = LC12;45#


52/93


&bx = 23.93 i 165.## *+a &bx = #.66C&'

Y/a2i) Stre))e) for O:erhan*'

b' = $.16 i 49.39 *+a b' = *';S'

>n = 2.59 i 1$.82 *+a >n = *C12;(S';2) (>a/+in no/mal /e)

b'(oal) = 9.$5 i 6$.22 *+a b'(oal) = b'D>n

&b' = 2$.19 i 18$.5# *+a &b' = #.$5C&'


S.R. = #.3$1 S.R. = bx;&bxDb'(oal);&b'

8ertical Deflection for O:erhan*' (amin ll 0ein loa0, P >io im+ac, a

#.#224 in. #.5$ mm (Ree/ S) = LC12;6## Defl#

(max) =

(allo>) =


53/93


ori(ontal Deflection for O:erhan*'

#.#65# in. 1.65 mm (Ree/ S) = LC12;6## Defl#


be = 8.292 in. 21#.62 mm *in. o! be = 12C o/ SC12 (eecie lane ben0

am = 2.191 in. 55.66 mm am = (b;2->;2)-(-) (>e/e! - = /a0i o ille

* = 3.914 in.-i+ #.44 .m * = P>Cam

S = #.66# in.:3 1#813 mm S = beC:2;6

b = 5.93 i 4#.9# *+a b = *;S

&b = 2$.19 i 18$.5# *+a &b = #.$5C&'

Botto+ 0lan*e Bendin* per CMAA Specification No !" #$%%"&' (oe! o/ion i ne

Local 0lan*e Bendin* Stre)) = Point %' (Sin conenion! D

-5.1$ i -35.63 *+a

1.2# i 8.29 *+a


4.42 i 3#.48 *+a

11.31 i $$.95 *+a


5.1$ i 35.63 *+a

-1.2# i -8.29 *+a


13.15 i 9#.66 *+a

-3.88 i -26.$2 *+a

#.## i #.## *+a

14.11 i 9$.2$ *+a

34 0.

Re)ultant Bia2ial Stre)) = Point -' SR

2#.$3 i 142.9# *+a

3.32 i 22.86 *+a

#.## i #.## *+a

1$.92 i 123.53 *+a

34 0.

Re)ultant Bia2ial Stre)) = Point $' SR

(max) =(allo>) =

xo = xo = xoCP>;a:2

Ao = Ao = AoCP>;a:2

x1 = x1 = x1CP>;a:2

A1 = A1 = A1CP>;a:2

x2 = x2 = -xo

A2 = A2 = -Ao


x = x = #.$5Cxo


o = o = SFR


54/93


11.35 i $8.23 *+a

3.88 i 26.$2 *+a

#.## i #.## *+a

8.$# i 59.9$ *+a

34 0.

SR



= 16 mm


55/93

9.46

Lo=4.43

4.1$

923.## in.:4

1#3.## in.:3

24.## in.:4

$.69 in.:3

4.1## in.:418##.# in.:6


56/93

en0 o im+le-+an)

in *anal, 1981)

2## i

(conine0)


57/93

f.2 34 0.25 O6

f.7 34 0.75 O6

SR 34 -%5 O6



;12###CL:4;(384CECI)

)i*n Manual5 -9


58/93

f.2 34 0.25 O6

f.7 34 0.75 O6

SR 34 -%5 O6

n0 o oe/an)



59/93


in len)

)

f. 34 0.5 O6

lece0)

= enion, - = com+/eion)

4 %??@07 4 $9 )i5 O6

%


60/93

4 %??@07 4 $9 )i5 O6

%?"""


61/93

C ?< M'RC>N'7RMC7I>N >:

:>R >R2


63/93

CN'7RMC7I>N >:

:>R >R2


65/93

CN

:I

R'7I''M ?< M'RC>N'7RMC7I>N >:

:>R >R2


67/93

C ?< M'RC>N'7RMC7I>N >:

:>R >R2


79/93


80/93

$

2)1


81/93

1 2 3 4 5 6 $ 8 9 1# 11 12

ecion W -mm2 -mm -mm %-mm


82/93

E$## 1.498 191## 6$# 582 3## 1$ 13 1.43ED##9 $6$3#### 4259$#1 511533

E$##% 2.4## 3#6## $## 582 3## 32 1$ 2.5$ED##91444##### $34#### 96266$

E$##* 3.##4 383## $16 582 3#4 4# 21 3.29ED##9188###### 9198324 1236842

E8## 2.243 286## $9# 68# 3## 28 15 3.#3ED##91264##### $681#13 84266$

E8## 1.$1# 218## $$# 68# 3## 18 14 2.#9ED##9 8134#### 54259$4 54226$

E8##% 2.62# 334## 8## 68# 3## 33 1$.5 3.59ED##9149###### 89$$5## 993333

E8##* 3.169 4#4## 814 6$4 3#3 4# 21 4.43ED##91863##### 1#8$4693 1229$#3

E9## 2.518 321## 89# $$# 3## 3# 16 4.22ED##91355##### 9485393 9#3333

E9## 1.9$$ 252## 8$# $$# 3## 2# 15 3.#1ED##9 9#41#### 6921839 6#2$33

E9##% 2.91# 3$1## 9## $$# 3## 35 18.5 4.94ED##91582##### 1#98#### 1#5466$

E9##* 3.326 424## 91# $$# 3#2 4# 21 5.$#ED##91845##### 12536264 1221854


83/93


84/93


85/93

/

in

#.4$

#.4$

#.4$

#.4$

#.4$

#.4$

#.4$#.4$

#.4$

#.59

#.59

#.59

#.59

#.59

#.59

#.59

#.59

#.$1

#.$1

#.$1

#.$1#.$1

#.$1

#.$1

#.$1

#.83

#.83

#.83

#.83

#.94

#.94

#.94

#.94

#.94

#.94

#.94#.94

1.#6

1.#6

1.#6

1.#6

1.#6

1.#6

1.#6

1.#6

1.#6

1.#6

1.#6

1.#6

1.#61.#6

1.#6

1.#6

1.#6

1.#6

1.#6

1.#6

1.#6

1.#6

1.#6

1.#6

1.#6

1.#6

1.#6

1.#61.#6

1.#6


86/93

1.18

1.18

1.18

1.18

1.18

1.18

1.18

1.18

1.18

1.18

1.18


87/93

cm4 0m6 /

B > I 1;3 1;3 / inK

/ 1 0; **& **$ mm

12 2# 14.5 #.12 5.28 #.##259 659114.6$ 96# 26.2#2629 3.29

12 18 14.1 #.1654545 2.33 #.##168 444##2.48 6$$.4 25.6#1$$6 2.42

12 22 15 #.1 9.33 #.##339 843324.#$ 12## 26.5#9811 4.#3

12 2# 14.5 #.118$5 6.#4 #.##649 116$#8# 115# 31.856$45 3.92

12 18 14.1 #.1651515 2.59 #.##425 $91259.$ 812.6 31.2#4$$9 2.88

12 23 15.25 #.#9#9#91 13.9 #.##943 165###3 158# 32.315$19 5.2$

12 21 14.$5 #.111$64$ 8.1 #.#151 2#15$38 1433.8333 3$.494516 4.8$12 18 14.15 #.152381 3.43 #.#1#2 14#1526 1#23.466$ 3$.##5288 3.5$

12 24 15.5 #.#833333 2#.2 #.#225 291$349 2##6.666$ 38.1291#3 6.6$

15 24 18 #.1#55556 12.1 #.#315 3243#8$ 1$44 43.122$13 6.#1

15 22 1$.25 #.1321429 6.43 #.#238 248212$ 1342 43.##6661 4.$1

15 28 19 #.#$69231 31.3 #.#48 48#3463 25#6.666$ 43.$$52$8 8.42

15 38 22 #.#4$1451 161 #.1#8 948$914 4658 45.1321#9 15.#5

15 25 18 #.1 14.9 #.#6#3 49224#4 2#52 48.9$$8$$ $.#2

15 23 1$.5 #.123$#3$ 8.31 #.#464 3848684 1628.3333 48.61659 5.66

15 29 19.25 #.#$14286 42.2 #.#939 $4511$# 3#3# 49.58963$ 1#.12

15 39 22.25 #.#448#29 2#1 #.2 14#$$56# 543#.666$ 5#.913989 1$.52

18 28 21.25 #.#95 21 #.1#8 $19##25 2411.666$ 54.6#1$49 8.34

18 26 2#.$5 #.11625 12.5 #.#846 5$#5861 1941 54.218543 6.84

18 33 22.5 #.#66666$ 59.$ #.1$1 11#52181 36## 55.4#8#33 12.11

18 43 25.5 #.#42$184 258 #.34$ 2##95$$5 625# 56.$#3828 2#.3118 29 21.5 #.#86$$69 28.6 #.194 1#628861 291# 6#.436161 9.9$

18 2$ 21 #.1#9625$ 15.5 #.146 815$186 228# 59.813989 $.98

18 34 22.$5 #.#625 $$ #.296 158#85$3 4216.666$ 61.229639 14.11

18 44 25.$5 #.#4#8441 313 #.5$4 2$$96$$6 $116 62.499888 23.1#

21 33 24.$5 #.#$98611 42.1 #.329 151$4239 3455 66.2$19#1 11.9#

21 3# 24.25 #.1#3$#3$ 22.1 #.24 1131592# 2645.3333 65.4#4#63 9.36

21 38 26 #.#588235 1#4 #.488 21941544 488# 6$.#53845 16.43

21 53 3# #.#34#222 626 1.15 45$6291$ 9556 69.2#2#21 31.##

24 3$ 2$.$5 #.#$69231 54.2 #.51$ 2#343$#5 38$5 $2.4568#3 13.45

24 34 2$.25 #.#98$854 3#.1 #.383 153$564$ 2998.666$ $1.6#652$ 1#.$#

24 42 29 #.#5$1429 12$ #.$55 29#3#55$ 5416.666$ $3.2#852 18.29

24 5$ 33 #.#332951 $2# 1.$3 59246$35 1#45# $5.2963$4 34.1#

24 3$ 28 #.#$41$58 63.5 #.$86 26$82559 436# $8.3$5946 15.#8

24 34 2$.5 #.#94285$ 35.5 #.591 2#511#81 3416 $$.48816 12.#9

24 42 29.25 #.#555556 146 1.13 3$$2##69 6#2# $9.156$5$ 2#.3124 5$ 33.25 #.#3261$8 8#$ 2.52 $538263# 11415.66$ 81.261532 3$.2#

2$ 41 31.25 #.#69#4$6 8$.8 1.2 3561$#$6 5#21.666$ 84.218#52 1$.52

2$ 38 3#.$5 #.#898413 4$.8 #.8$9 26619$11 385$.5 83.#$#858 13.$8

2$ 46 32.5 #.#526316 189 1.69 49116165 68## 84.988#31 23.1#

2$ 56 35 #.#361$86 6#4 2.91 $891##86 1#551.66$ 86.4$8#18 34.88

2$ 66 3$.5 #.#281224 1411 4.39 698 144$# 8$.952#89 46.9$

2$ 43 31.5 #.#66666$ 112 1.51 44848282 558# 89.651138 19.22

2$ 38 31 #.#912121 53.6 1.#4 31$661#9 41#2.666$ 8$.99315$ 14.66

2$ 48 32.$5 #.#52#325 23# 2.#$ 6#2388#5 $3$6.666$ 9#.366632 24.96

2$ 6$ 3$.5 #.#29#453 15#6 5.#1 115 148$3 93.215$5 48.36

2$ 44 31.$5 #.#66666$ 131 1.83 54254922 5995 95.131639 2#.62

2$ 39 31.25 #.#92$536 6# 1.23 3$81#$43 4356.666$ 93.16#2#6 15.66

2$ 49 33 #.#52$132 263 2.46 $1$2#481 $81# 95.8288#$ 26.51

2$ 6$ 3$.5 #.#3#5#16 1512 5.6 469 14999 98.49912$ 48.982$ 45 32 #.#66666$ 153 2.18 64913428 6416.666$ 1##.58#21 22.1$

2$ 39 31.5 #.#94166$ 6$.1 1.45 4459532$ 461$ 98.2$99#8 16.59

2$ 5# 33.25 #.#533333 298 2.89 8459#912 825# 1#1.25929 28.#6

2$ 6$ 3$.5 #.#32#61$ 1513 6.15 56# 15#85 1#3.$38#8 49.45

2$ 46 32.5 #.#684211 193 2.95 88536$95 $13# 111.43385 24.65

2$ 4# 31.$5 #.#969231 81.3 1.95 6#66981$ 5#9$ 1#9.1#1#$ 18.29

2$ 51 33.$5 #.#555556 361 3.8211312#192 9### 112.11115 3#.69

2$ 6$ 3$.5 #.#351$92 152# $.43 861 153#4 114.45$93 5#.53

2$ 48 32.$5 #.#698413 25# 4.15 #51 $986.666$ 125.3642$ 2$.59

2$ 41 32 #.1#49383 91.4 2.58 812984$2 5466.666$ 121.94946 19.69

2$ 53 34 #.#5$6923 448 5.2$ 451 99## 125.94469 33.$9

2$ 6$ 3$.5 #.#389251 1534 9.28 131 15626 12$.691#8 51.93

2$ 5# 33 #.#$1#145 318 5.65 564 886# 139.19819 3#.69

2$ 41 32.25 #.112381 1#3 3.31 632 5852 134.5$2$1 21.24

2$ 55 34.25 #.#595238 548 $.#3 952 1#816.66$ 139.6$813 3$.#52$ 6$ 3$.5 #.#4281#5 1544 11.2 94$ 159#8 14#.$5235 53.32

2$ 51 33.25 #.#$5 36# $.2221#55984 945# 152.94498 32.86


88/93

3# 4$ 36.5 #.1313$25 186 8.18 6#2 8##3.3333 185.61612 29.61

3# 62 38.5 #.#$2916$ 839 16.1 #19 13566.66$ 193.#6$44 4$.43

3# $# 4#.5 #.#588816 1595 21.5 223 1$1$2 193.9322$ 59.3$

3# 58 3$.5 #.#94#4$6 6#9 18.3 839 1235# 219.1898$ 44.33

3# 48 3$ #.1425926 243 11.5 226 8993.3333 21#.4#843 33.$9

3# 63 38.$5 #.#8#8#81 959 21.9 125 14566.66$ 219.5$8$2 51.$$

3# $# 4#.5 #.#6$161$ 165$ 2$.9 3$2 1$818 22#.2$893 62.62

3# 6# 38 #.#988889 $49 25 8#2 13$46.66$ 244.8#5$6 49.$6

3# 5# 3$.5 #.145 322 16.3 5$4118### 1#35# 235.52142 39.#6

3# 65 39.25 #.#85$143 115# 29.6 #5$ 16#5# 245.146#3 5$.51

3# $# 4#.5 #.#$53311 1683 34.9 1.11ED##9 1845# 245.61852 65.$2


89/93

> b / 0; Ix Sx /x I' S' /'

in in in in in in4 in3 in4 in3

#.2# 3.94 #.31 #.$9 1.#3 3.#5 8.38 4.44 1.6# 3.22 1.64 #.99 #

#.1$ 3.94 #.22 #.69 1.#1 4.2# 5.69 3.18 1.53 2.21 1.12 #.96 #

#.24 3.94 #.39 #.8$ 1.#4 2.54 1#.81 5.49 1.64 4.#1 2.#4 1.## #

#.2# 4.$2 #.31 #.$9 1.25 3.#2 14.56 6.49 1.93 5.55 2.35 1.19 #

#.1$ 4.$2 #.22 #.69 1.23 4.19 9.92 4.62 1.86 3.82 1.62 1.15 #

#.26 4.$2 #.43 #.91 1.2$ 2.31 2#.$6 8.$9 1.98 $.64 3.23 1.2# #

#.22 5.51 #.33 #.81 1.48 2.84 24.82 9.48 2.26 9.35 3.39 1.39 ##.1$ 5.51 #.24 #.$1 1.46 3.8$ 1$.2$ 6.86 2.2# 6.61 2.4# 1.36 #

#.28 5.51 #.4$ #.94 1.5# 2.12 36.25 13.15 2.33 13.21 4.$9 1.41 #

#.24 6.3# #.35 #.94 1.$# 2.68 4#.19 13.43 2.59 14.8# 4.$# 1.5$ #

#.18 6.3# #.28 #.8$ 1.69 3.36 3#.82 1#.58 2.56 11.51 3.65 1.56 #

#.31 6.3# #.51 1.1# 1.$2 1.95 59.8$ 19.#1 2.6$ 21.36 6.$8 1.59 #

#.55 6.54 #.91 1.5# 1.$8 1.2# 122.48 34.5$ 2.85 42.26 12.93 1.68 3

#.24 $.#9 #.3$ #.96 1.93 2.54 6#.3# 1$.91 2.93 22.22 6.2$ 1.$8 #

#.2# $.#9 #.3# #.89 1.91 3.14 4$.26 14.38 2.89 1$.54 4.95 1.$6 #

#.33 $.#9 #.55 1.14 1.95 1.81 92.#4 25.98 3.#2 32.$5 9.24 1.8# 1

#.5$ $.32 #.94 1.54 2.## 1.14 1$9.$8 45.66 3.2# 61.98 16.93 1.88 4

#.26 $.8$ #.39 1.1# 2.15 2.41 88.$# 23.$2 3.26 32.1# 8.15 1.96 #

#.22 $.8$ #.31 1.#2 2.13 2.95 $#.$3 19.32 3.22 25.66 6.52 1.94 #

#.35 $.8$ #.59 1.3# 2.18 1.69 136.85 34.$6 3.36 48.12 12.22 1.99 1

#.59 8.11 #.98 1.69 2.23 1.#9 255.63 59.#3 3.55 8$.$2 21.63 2.#8 6#.28 8.66 #.43 1.14 2.38 2.2# 129.98 31.44 3.61 46.9$ 1#.85 2.1$ #

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1

mono rail -design

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