ht bahan kuliah hidraulika terapan okt14

7/23/2019 HT Bahan Kuliah Hidraulika Terapan Okt14

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"#$%&'($)*( +*,-*. /*,*FAKULTAS TEKNIK

JURUSAN TEKNIK SIPIL DAN LINGKUNGAN

Jalan Grafika No. 2, Kampus UGM, Yogyakarta 55281Tel. (0274) 902241, 545675 Fax. (0274) 545676 email: [email protected]

0*.*# 1"2$*.

.$,'*"2$1* )&'*3*#)1(4565

7(1(

0*+$*# $$

($/"2*($ *2$'*# 58,$/($

,+*# 0*#)"*#

3*1&) 3'9+'*/ .$,'9,$#*/$1* .&:8'*(

$()$*')9;


2/221

3NOHBO


3/221

,BF


4/221

,BF


5/221

,BF


6/221

,BF


7/221

,BF 2BSBC =NON 2BSBC =NOHB


8/221

,BF 2BSBC NK@


9/221


10/221

,BF


11/221

,BF


12/221

,BF /GRB B@C =BKB UBI RN87 K@ /GRB B@C =BKB UBI RN87 K@ +CDGOKA@QQ '( 565P EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE EEEEEE 57P

+BITBC 545> 2BSBC =NOS@I=BOBO KB


13/221

,BF


14/221

,BF )BI=BOH Q@O


15/221

,BF


16/221

,BF


17/221

,BF +NDIN 1GCbB GRGC KNT@< K@ TB


18/221

3NOKB;GQGBO5c

(NIE %$$ M6548M65P )1( 4565 .@KCBGQ@RB )NCB=BO 7 ARA

!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


19/221

3NOKB;GQGBO5d


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%(3)"'+-

*-(8-$3 $)#%1$7%


20/221

3NOKB;GQGBOM6


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/% 5&%3+%22> @%&$.3 ;2'AZE 3CDHCBI IBI=G

INIDKNQRBO UBC@OH AGOHB@V AGOHB@ KNOKC@


21/221

3NOKB;GQGBOM5


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


22/221

9CHBO@ABA@ W@QNMM


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


23/221

9CHBO@ABA@ W@QNM7


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


24/221

9CHBO@ABA@ W@QNM4


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


25/221

)BI=@QBO 2BSBC "


26/221

3NOHB


27/221

3NOHB


28/221

3NONQGAGCBO *Q@CBO 3NCIBONO (NKNC;BOBMc


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


29/221

3NONQGAGCBO *Q@CBO 3NCIBONO (NKNC;BOBMd


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


30/221

3NONQGAGCBO *Q@CBO 3NCIBONO (NKNC;BOB76


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


31/221



!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


32/221

3NONQGAGCBO *Q@CBO 3NCIBONO (NKNC;BOB7M


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


33/221



!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


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!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%/# '___

"#$%#& 'X( )#=#& 74*+#/.* 0:-4$#/1: 725/ 4Q/4*/ 7#3# 431/5& 3#/# +45$4/&1


35/221

3NONQGAGCBO *Q@CBO 3NCIBONO (NKNC;BOB7P


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


36/221

3NONQGAGCBO *Q@CBO 3NCIBONO (NKNC;BOB7a


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


37/221

3NONQGAGCBO *Q@CBO 3NCIBONO (NKNC;BOB7X


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


38/221

3NONQGAGCBO *Q@CBO 3NCIBONO (NKNC;BOB7c


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


39/221

3NONQGAGCBO *Q@CBO 3NCIBONO (NKNC;BOB7d


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%.%:&1/1:#2GO


40/221



!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


41/221



!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%4:/15*0 RB


42/221

3NONQGAGCBO *Q@CBO 3NCIBONO (NKNC;BOB4M


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


43/221



!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


44/221



!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


45/221

3NONQGAGCBO *Q@CBO 3NCIBONO (NKNC;BOB4P


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/% 62'A N,%2>"$"ZV RDO


46/221

3NONQGAGCBO *Q@CBO 3NCIBONO (NKNC;BOB4a


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


47/221

3NONQGAGCBO *Q@CBO 3NCIBONO (NKNC;BOB4X


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


48/221

3NONQGAGCBO *Q@CBO 3NCIBONO (NKNC;BOB4c


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


49/221

3NONQGAGCBO *Q@CBO 3NCIBONO (NKNC;BOB4d


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


50/221

3NONQGAGCBO *Q@CBO )BR 3NCIBONO (NKNC;BOBP6


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


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!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


52/221

3NONQGAGCBO *Q@CBO )BR 3NCIBONO (NKNC;BOBPM


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


53/221



!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


54/221



!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


55/221

3NONQGAGCBO *Q@CBO )BR 3NCIBONO (NKNC;BOBPP


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


56/221

3NONQGAGCBO *Q@CBO )BR 3NCIBONO (NKNC;BOBPa


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


57/221

3NONQGAGCBO *Q@CBO )BR 3NCIBONO (NKNC;BOBPX


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%434&-#*#f._Nh 34*+#* $4*+.%#- 9.3.2 3#/#

@@@Z 1Q@R =BKB RD
'___SBOH

TNC


58/221

3NONQGAGCBO *Q@CBO )BR 3NCIBONO (NKNC;BOBPc


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


59/221

3NONQGAGCBO *Q@CBO )BR 3NCIBONO (NKNC;BOBPd


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


60/221

3NONQGAGCBO *Q@CBO )BR 3NCIBONO (NKNC;BOBa6


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


61/221



!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


62/221

3NONQGAGCBO *Q@CBO )BR 3NCIBONO (NKNC;BOBaM


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


63/221



!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


64/221



!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


65/221

3NONQGAGCBO *Q@CBO )BR 3NCIBONO (NKNC;BOBaP


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


66/221

3NONQGAGCBO *Q@CBO )BR 3NCIBONO (NKNC;BOBaa


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


67/221

3NONQGAGCBO *Q@CBO )BR 3NCIBONO (NKNC;BOBaX


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


68/221

3NONQGAGCBO *Q@CBO )BR 3NCIBONO (NKNC;BOBac


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


69/221

3NONQGAGCBO *Q@CBO )BR 3NCIBONO (NKNC;BOBad


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


70/221

3NONQGAGCBO *Q@CBO )BR 3NCIBONO (NKNC;BOBX6


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


71/221



!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


72/221

3NONQGAGCBO *Q@CBO )BR 3NCIBONO (NKNC;BOBXM


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


73/221



!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


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!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


75/221

3NONQGAGCBO *Q@CBO )BR 3NCIBONO (NKNC;BOBXP


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


76/221

3NONQGAGCBO *Q@CBO )BR 3NCIBONO (NKNC;BOBXa


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


77/221

3NONQGAGCBO *Q@CBO )BR 3NCIBONO (NKNC;BOBXX


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


78/221

3NONQGAGCBO *Q@CBO )BR 3NCIBONO (NKNC;BOBXc


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


79/221

3NONQGAGCBO *Q@CBO )BR 3NCIBONO (NKNC;BOBXd


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


80/221

3NONQGAGCBO *Q@CBO )BR 3NCIBONO (NKNC;BOBc6


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%%,?.Z IBA@OH8IBA@OH


81/221

(GOHB@ 0NCJBTBOHc5


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


82/221

(GOHB@ 0NCJBTBOHcM


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


83/221

(GOHB@ 0NCJBTBOHc7


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


84/221

(GOHB@ 0NCJBTBOHc4


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%.*+#1 F1&/#=#

XE5EM

2*#+1*. 1&'-* 3&/0"*)*# /9,&2 ("#+*$

2BOHRB; =NITGB


85/221

(GOHB@ 0NCJBTBOHcP


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%-(22 ? #(,3%'"0%,$#

2+


86/221

(GOHB@ 0NCJBTBOHca


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


87/221

(GOHB@ 0NCJBTBOHcX


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


88/221

(GOHB@ 0NCJBTBOHcc


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


89/221

(GOHB@ 0NCJBTBOHcd


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


90/221


91/221

(GOHB@ 0NCJBTBOHd5


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


92/221

(GOHB@ 0NCJBTBOHdM


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


93/221

(GOHB@ 0NCJBTBOHd7


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


94/221

(GOHB@ 0NCJBTBOHd4


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


95/221

(GOHB@ 0NCJBTBOHdP


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


96/221

(GOHB@ 0NCJBTBOHda


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


97/221

(GOHB@ 0NCJBTBOHdX


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%.*+#1

F1&/#=#

XE5EX 3'&()*($ .*($2 .$)"#+*#

.&:8'*( INOBI=@QRBO ;BA@Q ;@


98/221


99/221

(GOHB@ 0NCJBTBOHdd


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


100/221

(GOHB@ 0NCJBTBOH566


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


101/221

(GOHB@ 0NCJBTBOH565


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


102/221

(GOHB@ 0NCJBTBOH56M


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


103/221

(GOHB@ 0NCJBTBOH567


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


104/221

(GOHB@ 0NCJBTBOH564


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


105/221

(GOHB@ 0NCJBTBOH56P


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


106/221

(GOHB@ 0NCJBTBOH56a


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


107/221

(GOHB@ 0NCJBTBOH56X


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


108/221

(GOHB@ 0NCJBTBOH56c


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


109/221

(GOHB@ 0NCJBTBOH56d


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


110/221

(GOHB@ 0NCJBTBOH556


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


111/221

(GOHB@ 0NCJBTBOH555


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%.*+#1 F1&/#=# 3#* ,43.# #*#, 0.*+#1Z

F1&/#+1&1 3#* F1&/#%#&.

"#$%#& '_^( )#=#& 74*4/#7#* -#012 -1/.*+#* 01$.2#01 g>=#/ #@#2 0.*+#1 3.# :#%#*+h 04%#+#1

0=#/ #@#2 -1/.*+#* 01$.2#01 %#*91& 0.*+#1 3.# :#%#*+

JZ (@I=BO F@QN KB


112/221

(GOHB@ 0NCJBTBOH55M


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


113/221

(GOHB@ 0NCJBTBOH557


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


114/221

(.*+#1 F1&/#%#&.

"#$%#& ''V( J.,# #1& $#,01$.$ 31 ;> N^\X =#*+ %4# 31 -121& j.*:/15* "42#*+ 04%42.$S82#* A_'U 3#* 040.3#- S82#* _NU #3#*=# ,#*#2 %#*91& >.*+#1 F1&/#%#&.

c

()'"1)"' /&2$#)*#+ ("#+*$

0NO


115/221

(


116/221

(


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(


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(


119/221

(


120/221

(


121/221

(


122/221

(.*+#1 F1&/#=# =#*+ $4$121,1 94$%#/#*

31 &.#0 D.2.

cE5E4

3'&()*($ .*($2 .$)"#+*#3CNANO


123/221

( X^__

"#$%#& 'NX( J.,# #1& 7#3# 9#$ ,4CV 31 0101 -.2. 94$%#/#* ;> X^__


124/221

(


125/221

(


126/221


127/221

(


128/221

(


129/221

(


130/221

(.*+#1 F1&/#=# =#*+ $4$121,1 94$%#/#*

31 &.#0 F1&/#=# D.2. 3#* +5&5*+C+5&5*+ 31 F1&/#+1&1

cEME4

3'&()*($ .*($2 .$)"#+*#.BA@Q ;@


131/221

(

'W^X

"#$%#& 'VX( J.,# #1& 7#3# 9#$ ,4CV 31 /#$7#*+ 21*/#*+ 31 04%42#- -.2. +5&5*+C+5&5*+ ;>

'W^X


132/221

( (GOHB@ )@C


133/221

(


134/221

(.*+#1 F1&/#=# =#*+ $4$121,1 94$%#/#*

31 &.#0 F1&/#=# D.2.Z +5&5*+C+5&5*+ 31 F1&/#+1&1Z 3#* +&5.*30122 31 F1&/#=# D121&

cE7E4

3'&()*($ .*($2 .$)"#+*#.BA@Q ;@


135/221

(


136/221

(


137/221

(


138/221

(


139/221

(


140/221

(


141/221

(4:/15*0 RKBO =@Q@; '@bNC )@C


142/221

(


143/221

3NQ@I=B; (BI=@OH KBO 1B\BABO )BI=GOHBO *@C547


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


144/221

3NQ@I=B; (BI=@OH KBO 1B\BABO )BI=GOHBO *@C544


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


145/221

3NQ@I=B; (BI=@OH KBO 1B\BABO )BI=GOHBO *@C54P


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%.*+#1 F1&/#=#h

"#$%#& 'XN( 84$%.,##* 6124 72#* g`4*3.*+ +4,h $42#2.1 2#=#& 431/5& A*0/4#3= ?25@

I*#2=010


146/221

3NQ@I=B; (BI=@OH KBO 1B\BABO )BI=GOHBO *@C54a


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


147/221

3NQ@I=B; (BI=@OH KBO 1B\BABO )BI=GOHBO *@C54X


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


148/221

3NQ@I=B; (BI=@OH KBO 1B\BABO )BI=GOHBO *@C54c


!"#$%')*+&+"%,-./,$/0$1$23%,4$,5/+,5%,6-789)*2:8&%;$/%


149/221

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