P rogram Komputer Ana lisis Ra n g ka Ruang

5.9 P rogram Komputer Ana lisis Ra n g ka Ruang

Prog ram k omputer sistem struk tur P01 tal Ruang d irancang berdasarkan bagan alir yang d i­ k embang k an oleh W illiam W eaver, Jr. & James M. G erc .. penulis buk u Afutrix Analysis of

Framed Stmcture (,)'econd Edition,

D. Van Nostrund, 1 980). Runcangan prog ram d ikem­ bang k an o leh mahasiswa S1 kelas A nalisa Struk tur I V, dan mahasiswa S2 k elas Metoda E­ lemen Hing g a, Prog ram Studi T eknik Sipil IT B.

Membuat kode program a nalisa stru ktu r untuk rangka ruang.

Prog ram yang d igunakan adalah T urbo Pascal for W indows v1.5 Dalam prog ram ini d ibuat/ l le:f i/ e pembantu (*.i nc) yang d ipang g il dengan procedure pada prog ram utama. Adapunfi le:f i le yang d iperlukan di dalam prog ram ini adalah:

1. main _JJro,pas : merupakan bad an prog ram uta m a

2. sdutarr. inc

: berisi prosedur input d ata

3. ldatarr. inc

: berisi input data dan pengkombinasian be ban titik

4. stijjiT. inc

: berisi perakitan matrik k ekakuan

5. hanfac. inc : berisi prosedur fakorisasi matrik

6. hansol. inc

: berisi penyelesaian vektor

7. resulrr. inc

: berisi penul isan basil perhitung an Sedang k an untuk input dan outputnya d iletakk an padaj i / e text (*.txt), yaitu:

I. datarr. txt

: ber isi input data struk tur dan pembebanan

: berisi laporan input beserta hasil perhitungan. Berdasarkan bagan alir yang t clah d iberikan. maka k od e prog ram secara keseluruhan dapat

2. report. txt

d isusun. Kode prog ram lengk<p scbagai berikut.

Source code dari

fi le main_ pro.pas

p rogram ANAL I S I S_RANGKA_RUANG ; u s e s w i nc r t ;

K , J , 1 R , 1 C , 1 1 , 1 2 , I 3 , I t em , T A

: i n teger ;

X , Y , Z , AC , AJ , AE , DJ , DF , XI , Y I

ma t r i k_real l ;

ma t r i k_::-e a l l ;

SFF , SM S , AML

mat: r i k_re a l 2 ;

mat r i k __ real l ;

i np u t _d a t a , a l pha

: cha r ;

a r s i p_da r a , a r s i p_has i l

: s r sdatarr . inc } ', $ 1 s t i f frr . inc } · $ 1 bcm fac . inc } ; s r l datarr . i nc }

i $ 1 hansol . inc }

f $ I resulrr . i nc } 3EG::: N

clrscr; w r i t. e l n

( '++++�++++t+++++++++++++++++++++++�++++++++++++++++++++++');

wr i t e l n

r, I

I' I;

writeln

I, I

PROGRAJ"' KO�lPUTER UNTUK RANGKA RUANG

I' I;

vni teln wr i t e l n

r, I I' I;

('+++++��+++++++++•·+++++++++++++++++++++++++++++++++++++++'); wri teln ('

,I;

w r i t e l n ( d ays [ dow ] , ' , ' , t g l : O , ' \ ' , bln : O , ' \ ' , thn : O I ; writeln;

( M em i l i h I n p u t D a t a ) wr i t e l n ( ' P i l i han Masukan da t a :

l . Manua l ( s a t u p e r s a tu ) 'I;

wriLeln ('

2 . Da r i Ars i p f i l e ' ) ;

wri teln (' , I;

i np u t _d a t a : = readkey ; writeln; whi l e n o t ( ( i nput_da t a = ' l ' ) o r ( i np u t __ cla t a = ' 2 ' 1 1 do

Begin w r i t e l n ( ' P i l i han anda s a l ah ' ) ; w r i t e l n ( ' S i l ahkan masukan p i l i h s n y s ng benar : ' I ;

r e ad l n ( i np u t_da t a ) ; writeln;

End ; if

l np1J t�_da ta= ' 1 '

then

Bey in Bey in

wr i t e l n ( ou t , ' I I'); wr i t e l n ( ou t , ' I HAS I L ANAL I S I S STRUKTUR RANGKA RUANG

I');

w r i t e l n ( ou t , '

I w r i t e l n ( ou t , ' + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + ' ) ; I');

wr i t e l n ( ou t , '); w r i t e l n ( ou t , days [ dow ] , ' , ' , t g l :

0, ' \ ' , bln : O , ' \ ' , thn : O ) ; { Pros edur i n t i Program }

writeln; sdata4; stiff4;

f a k t o r i s a s i _ma t r i k ; ldata4; s o l us i_vek t o r_x ; result4;

{ Se l es a i }

i f i nput_da t a = ' 2 ' then c l o s e ( d t ) ;

c l o s e ( ou t ) ; wr i t e l n ( ' Program t e l ah s e l e s a i d i e k s e ku s i ' ) ; w r i t e l n ( ' H a s i l nya dap a t d i l i h a t pada f i l e ' , a r s i p_ha s i l ) ; wr i t e

( ' TERIMA KAS I H ' ) ; readkey ; END .

Source code dari file sdatarr. inc

Procedu r e sdata4 ; Begin

{ Judu l Outpu t } { Parame t e r S t ruktu r }

wr i t e l n ( ou t , ' PARAMETER STRUKTUR ' ) ; wr i t e l n ( ou t , ' M

E'); w r i. t e l n ;

i f i nput_da t a � ' l ' t h en Begin wr i t e l n ( '

S a t uan : kN -me t e r ' ) ;

wr i t e l n

('

Parame t e r S t ruktur ' ) ;

(M): ' ; readln ( M ) ; write

write

('

Juml ah e l emen

( N J ) : ' ) ; readln ( NJ ) ; )

('

Jum l ah t i t i k kump u l

write

( NR,J ) : ' ) ; readln ( NR,T ) ; write

('

Juml ah t i t i k p e l e takan

('

Jumlah reaks i p e l e t akan

( NR ) :

' ) ; read l n ( NR ) ; ' ) ; read l n ( E ) ;

Beg i n readln ( dt ) ; readln ( dt ) ; readln ( dt ) ; End ;

f o r J : � l to NJ do Begi n

c a s e i nput_da ta o f 'l'

Beg i n wr i te

( ' Koordinat t i t i k ' , J , ' ber t u ru t - t u r u t X ' , J , ' , Y ' , J , dan

z' 'J,'

readln ( X [ J ] , Y [ J ] , Z [ J ] ) ; End ;

'2' read l n ( dt , J , X [ J ] , Y [ J ] , Z [ J ] ) ; Encl ; w r i t e l n ( ou t , J : 7 , X [ ,J ] : 1 3 : 2 , Y [ J ] : 1 1 : 2 , Z [ J ] : 1 1 : 2 ) ; End ;

( In f o rmas i E l emen ) w r i t e l n ( ou t ) ; wr i te l n ( ou t ,

INFORMAS I ELEMEN ' ) ; w r i t e l n ( ou t , '

CY cz ' ) ; wr i te l n ;

E l emen

i f i npu t_da t a � ' l ' then w'ri t e l n ( ' I n f ormas i E l emen ' ) ;

i f i nput_da t a � ' 2 ' then Begi n readln ( d t ) ; reacl l n ( dt ) ; read l n ( d t ) ; End ; MD : � 2 *NDJ ; NB : � 0 ; for

I : � l t o M do Begin

c a s e i nput_d a t a o f '1'

Begin wri te

( ' Uj ung - u j ung e l emen ' , I , ' ( i - j ) ' I ; read l n ( JJ [ I ] , JK [ I ] ) ; wr i t e

' ) ; readln ( AX [ I ] ) ; End ;

( ' Luas penampang e l emen

',I, '

'2' read l n ( cl t ,

J [ I ] , ,JK [ I ] , AX [ I ] ) ; I, J

Encl ; NBI : � NDJ * ( ABS ( JK [ I ] - JJ [ I ] ) + 1 ) ;

i f NBI >NB then NB : �NBI ; XCL . - X [ JK [ I ] ] - X [ JJ [ I ] ] ; YCL : � Y [ JK [ I ] ] - Y [ JJ [ I ] ] ;

ZCL : � Z [ ,JK [ I ] ] - Z [ J J [ I ] ] ; EL [ I ] . - sqrt ( XC L * XCL + YCL * YCL + ZCL* ZCL ) ; CX [ I ] . - XCL / EL [ I ] ; CY [ I ] . - YCL / EL [ I ] ;

Begin read l n ( dt ) ; r e a d l n ( d t ) ; readln ( d t ) ; End ;

f o r I : = 1 to ND do JEL [ I ]

: = 0; for

1:=1 t o NEJ do Begin

c a s e i npu t _data o f

1 ' Beqin wri t e

' ) ; readln ( K ) ; write

I ' No . T i t i k Kumpul

I ' JRL1 , JRL2 , JRL3

' I ; readln ( JRL [ 3 *K-2 ] , JRL [ 3 *K-l ] ,

JRL [ 3 * K ] ) ;

End ; '2'

readln i d t , K , JRL [ ] * K - 2 ] , JRL [ 3 * K - l ] , JRL [ 3 * K ] ) ;

End ; wri t e l n ( ou t , K : 4 , JRL [ 3 * K - 2 ] : 9 , J EL [ 3 * K - 1 ] : 6 , ,JRL [ 3 * K ] : 6 ) ; End ;

( l ndeks Perp i ndahan T i t i k Kumpu l } N1: =0;

f o r J : = 1 t o ND do Beqin Nl : =N l +-JRL [ J J ;

i f JRL [ J ] > O then I D [ J ] : =N + N 1

e l s e I D [ J ] : = J- N 1 ; End ;

End ;

Source code dari file stiffrr.inc Pro cedure s t � f f 4 ; Beqin

(Inisialisasi}

f o r J : = 1 t o N do Beg i n for

K:=l t o N B do SFF [ ,T , Kj

End ; ( Kekakuan E l emen }

f o r I : = 1 to M do Beg i n SCM . - E * AX [ I ] / E L [ I ] ; S MS [ l , l ] . - SCM * CX [ I ] * CX f i ] ; SMS [1, 2]

SCM * CX [ I J *CY [ I ] ;

{ Uhah Ke Ma t r i ks K0kaua n T i t i k Kumpu l } IM[l]

3* ,T J [I ] ; IM[4]

i f I JRL [ I l ] <= 0 ) then Begin

f o r K : = J t o MD do Begin

I2 :=

I M [K] ;

i f ( JRL [ l 2 ] <= 0 ) then Beg i n IR := ID [ I l ] ; IC := ID[l2];

End ; End ; End ; End ; End;

Source code dari file /datarr. inc

Procedure l da t a 4 ; Beg i n

{ Pa rame t e r hehan } writeln (out); w r i t e l n ( ou t , ' PAFAMETER BEBAN ' ) ; wr i t e l n

( ou t , ' NLJ

NLM ' ) ;

writeln; writeln;

i f input_data= ' 1 ' then w r i t e l n ( ' Beban T i t i k Kumpu1 ' I;

i f i nput_data= ' 2 ' then Begin readln ( dt l ; read1n ( dt ) ; read1n ( dt ) ; End ;

f o r J : = 1 to NLJ do Begin case i nput_data o f '1'

Begin wri te

( ' T i t i k Kumpu1

' I ; readln ( K ) ;

write

( ' Beban Arah X,

Y , dan Z

read1n ( AJ [ 3 * K - 2 ] , AJ [ 3 * K- 1 ] , AJ [ 3 *K ]

I;

End ;

'2' readln ( dt , K , AJ [ 3 * K - 2 ] , AJ [ 3 * K- 1 ] , AJ [ 3 * K ] ) ; End ; wri te1n ( ou t , K : 7 , AJ [ 3 * K - 2 ] : 1 6 : 2 , AJ [ 3 * K- 1 ] : 9 : 2 , AJ [ 3 * K ] : 9 : 2 ) ; End ;

( Beban Bentang }

i f NLH < > O then Begin ( I n i s i a l i sa i LHL dan AHL }

wr i te l n ( ou t ) ; w r i t e 1 n ( ou t , ' GAYA UJUNG

ELEHEN TERKEKANG PENUH AKI BAT BE BAN

B ENTANG ' I;

w r i t e l n ( ou t ,

E l emen

AHL4 ANL5

AHL 6 ' I;

wri te l n ;

i f inpu t_dat a= ' 1 ' then w r i t e l n ( ' Gaya U j ung E 1 emen Terkekang Penuh Akibat Beban Ben t ang ' ) ;

i f i nput_da ta= ' 2 ' then Beg i n readln ( dt ) ; read1n ( dt ) ; read l n ( dt ) ; End ; for J : = 1 to NLH do

Begi n

c a s e i nput_d a t a o f

'1'

Begi n wr i te ( ' E 1 emen no .

' ) ; readl n ( I ) ;

Begi n for I : = 1 t o M do Begi n

I f LML [ I ] < > O then

Beg i n

CXZ : = SQRT ( CX [ I ] * CX [ I ]

CZ[I]*CZ[I]);

J 1 : = 3 *JJ [ I ] - 2 ; J2 : = 3 *JJ [ I ] - 1 ; J 3 : = 3 *JJ [ I ] ; K l : = 3 * JK [ I ] - 2 ; J 1 : = 3 * JK [ I ] - 1 ; K3 : = 3 * JK [ I ] ;

I f ( CXZ> = O . O O l ) then Beg i n AE [Jl]

- AE [ J l ] - CX [ I ] *AML [ l , I ]

+ ( CX [ I ] * CY [ I ] *AML [ 2 , I ] +C Z [ I ] *AML [ 3 , I ] ) / CXZ ;

AE [ ,J2 ]

- AE [ J 2 ] - CY [ I ] *AML [ l , I ] - C X Z * AML [ 2 , I ] ;

AE [ J 3 ]

- AE [ J3 ] - C Z [ I ] * AML [ l , I ] + ( CY [ I ] * CZ [ I ]

* AML [ 2 , I ] -CX [ I ] *AML [ 3 , I ] ) /CXZ ;

AE [ Kl ]

- AE [ Kl ] - CX [ I ] *AML [ 4 , I ]

( CX [ I ] * CY [ I ] *AML [ S , I ]

+ C Z [ I ] *AML [ 6 , I ] ) / CXZ ;

AE [ K2 ]

AE [ K2 ] - CY [ I ] *AML [ 4 , I ] - CXZ*AML [ S , I ] ;

AE [ K3 ]

- AE [ K3 ] - C Z [ I ] *AML [ 4 , I ] + ( CY [ I ] * CZ [ I ] *AML [ S , I ]

-CX [ I ] *AML [ 6 , I ] ) / CX Z ;

AE [ K l ] + CY [ I ] *AML [ S , I ] ;

AE [ K2 ]

- AE [ K 2 ] - CY [ I ] *AML [ 4 , I ] ;

End ; End ; End ; End ; ( Komb i n a s i Beban T i t i k Kumpul } for J : = 1 t o ND do

Beg in JR : = I D [ J ] ; AC [ J R ] : = AJ [ J ] +AE [ J ] ;

End ; End ;

Source code dari file banfac.inc

procedure faktor i s a s i _ma t r i k ;

Begin

SUM : = S FF [ I , J - I + l ] ;

f o r K : =J2 to I l do S UM : = SUM- S F F [ K , I -K + l ] * S F F [ K , J - K + l ] ; S F F [ l , J- I + l ] : = SUM ;

End ; End ; End ; SU11 : =

SFF [J, 1] ;

f o r K : =J2 to Jl do Beg i n TEMP : = SFF [ K , J - K + l ] / S F F [ K , l ] ; SUM : = SUM - TEM P * S F F [ K , J - K + l ] ; S F F [ K , J - K+ l ] : = TEMP ;

End ;

i f ( SUM< = O . O ) then Beg i n w r i t e l n ( ' Ma t r i k s Kekakuan T i dak Pos i t i f De f i ni t i f ' ' ) ; wr i te l n ( ' = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = ' ) ;

ha l t ( 1 ) ; End ; S FF [ J , l ] : = SUM ;

End ; End ;

Source code dari file banso/.inc

procedure s o l u s i _vektor_x ; Beg i n

for I : = l t o N do Begin

J : = I -NB+ l ;

i f ( I <=NB ) then J : = l ; SUM : = AC [ I ] ; Kl := I-1;

i f ( ,J < = K l ) then Beg i n

f o r K : =J to K l d o SUM : = SUM - S FF [ K , I -K + l ] * DF [ K ] ; End ; DF [ I ]

S UM ; End ;

Source code dari file resultrr.inc

procedure r e s u l t 4 ; Begin

{ Perpi ndahan T i t i k Kumpu l ) J:=N+1;

f o r K : = 1 to ND do Begin JE := ND -K + 1; i f JRL [ J E ] = O . O then beg i n J:=J-1; DJ [ JE ]

: = DF [ J ] ;

end else Beg L n

DJ [ J E ] . -

End ; End ; wr i te l n ( out ) ; w r i t e l n ( ou t , ' PERPINDAHAN T I T I K KUMPUL ' ) ; w r i t e l n ( ou t , ' T i t i k

( Ak s i U j ung E l emen } wr i t e l n ( ou t ) ; wr i t e l n ( ou t , ' AKS I UJUNG ELEMEN THD KOORD LOKAL ' ) ; w r i t e l n ( ou t , ' E l emen

AMS AM6 ' I; for 1 : � 1 to M do Begin

SCM : = E * AX I I ] / EL [ I ] ; AMD i l ] . - SCM* ( ( DJ [ J l ] - DJ [ K l ] ) * CX I I J + ( DJ I J 2 ] -DJ I K2 ] ) * CY [ I ] ) + ( DJ I J 3 ] -

DJ [ K 3 ] * C Z I I ] ) ; AMD I 4 ]

. - - AMD [ 1 ] ;

AMD I 2 ] . -0 .

0 ; AMD I 3 ]

. -0 . 0 ;

AMD I 5] . - 0 . 0 ; AMD [ 6 ]

.-0. 0;

f o r J : = l to MD do

Begin J l : = 3 * J - 2 ; J 2 : = 3 * J - 1 ; J3 : = 3 * J ; N l : = JRL [ Jl ]

JRL [ J 2 ] + JRL [ J 3 ] ;

i f N l < > O then wri t e l n ( ou t , J : 2 5 , AR [ J l ] : 9 : 2 , AR [ J 2 ] : 8 : 2 , AR [ J3 ] : 8 : 2 1 ;

End ; End ;

Contoh : File input: