8/14/2019 rubble mound breakwater design.doc
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COASTAL AND HARBOR ENGINEERING
Rubble Mound Breakwater Design
Given:
Design Conditions
Water depth (SWL) : 5.0 m
Beach !"pe : #:$0
Str%ct%re !"pe : #:$
De&' h&'h ater (DHW) : #.5 m
De&' a*e+ H, $ m
H#-#0, $.5 m
Tm, ec
A!!"a/!e "*ert"pp&' :0. m1-ec-m
Armor unit : Dolos stone
S"&! Data+
#
8/14/2019 rubble mound breakwater design.doc
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COASTAL AND HARBOR ENGINEERING
Assume:
Arm"r ad %der !a2er mater&a! & 3%arr2 t"e:3
5.2m
ta =
Str%ct%re !"pe: #:$
Str%ct%re &!! /e 2mmetr&c (th& ma2 /e cha'ed t" red%ce tr%ct%re &4e &ecear2)
Specify Design Condition:
SWL , 5.0 m DHW , #.5 m+
h , 5.0 6 #.5 , .5 m
Assume listed conditions are at structure toe.
S&'&7&cace Wa*e He&'ht H , H#-1 , $ m+ 8er&"d T , ec+ Deep Water Le'thL", #00 m
L", #.5 T$, #.5 (.0)$ , 5.# m 9 5 m h-L", d-L", .5-5 , 0.##+
;r"m Ta/!e "7 7%ct&"+
d-L" , 0.## " 'et d-L , 0.#51 (Deep Water)+
L , .5-0.#51 , $.5 m 9 1 m
$
8/14/2019 rubble mound breakwater design.doc
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COASTAL AND HARBOR ENGINEERING
Wave Conditions
Method 1
h-L < #- tah =d , ;"r a*e cr&ter&a /e&' N">Brea=&'
h-L ? #- tah =d , ;"r a*e cr&ter&a /e&' Brea=&'S"
Ta=e H , $ m
, $.0-1 < #- @ 0.50
0.05 < 0.#00 hece non-breaking wave condition.
Method
Ca!c%!ate depth !&m&ted /rea=&' a*e he&'ht at tr%ct%re &te c"mpare &th the
%/r"=e t"rm a*e he&'ht ad %e the !eer "7 the t" a the de&' a*e+
H/- h/ , h/-'T$ , .5- (.# 1) , 0.0# 9 0.0$
G&*e !"pe m , #:$0 " H/-h/ , 0.+ H , $m
at DHW : H/ , 0. @ .5 , 5.$ m 9 5. m
at SWL : H/ , 0. @ 5.0 , . m 9 . m
B"th a*e he&'ht are 'reater tha H " waves are not breakingad de&' H
, H , $ m.
Set Break !ater Dimensions "controlled by height # slope$:
Set>%p: a*e are "t /rea=&' per the pre*&"% ca!c%!at&" " et>%p
1
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COASTAL AND HARBOR ENGINEERING
NOTE: there &!! /e a et>d" /%t th& &!! /e e'!ected ad c"&dered a added
7act"r "7 a7et2 %!e re3%&red t" red%ce the tr%ct%re &4e , 0
Allowable Overtopping Discharge
H , S&'&7&cat Wa*e He&'ht
T"p , Wa*e per&"d a"c&ated &th the pectra! pea= & deep ater.
Rc , ;ree B"ard
r , S%r7ace r"%'he red%ct&" 7act"r
Baed " Oe "de!+
S%/Fected t" tr%ct%re *&a 7"!!"&' pec&7&cat&" %ch &mpermea/!e m""thr"%'h tra&'ht ad /ermed !"pe.
O*ert"pp&' m"de! , a e@p (>/R)
D&me&"!e d&char'e , 3- ('H t"m)
D&me&"!e 7ree/"ard Rc , (Rc-H)(S"m-$)0.5(#-)
Stra&'ht /ermed &mpermea/!e !"pe ( ;&'%re JI K 5 K #a /) Irre'%!ar ad Head
" a*e.
Oe m"de! & Ta/!e JI>5>+
=
r
OM
SOMS
S
H
Rcba
TgH
q
1
2exp
;r"m Ta/!e JI>5>:
8/14/2019 rubble mound breakwater design.doc
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COASTAL AND HARBOR ENGINEERING
S!"pe #:$+ a , 0.0#1 / , $$ 3 , 0. m1- per m
R"c= R&prap &th th&c=e 'reater tha $D50 r 9 0.55
S"!*&' e3%at&" Oe "de!+
Rc , R-H (Sm-$) Sm , H- L"
Rc , R-H (H-'Tm$
Rc , (>r-/) L (3-a'H t"m) + re!at&*e 7ree/"ard
, (>0.55-$$) L (0.-0.0#1 @ .# @ $ @ ) , 0.0155
R , H Rc ('Tm$-H)
, $.0 @ 0.0155 @ ((.#@$)-$) , 0. m 9 0. m
A!!"a/!e Rr%>%p , 0.
!a%e Run&up
S%r7 &m&!ar&t2 parameter a!" re7erred a /rea=er parameter "7 Ir&/arra %m/er
&d&cate the t2pe "7 /rea=er re'ard&' the a*e r%>%p ad r%>d" " a
tr%ct%re.
79.2
tan
== OMom S
Where & +
M , S!"pe a'!e
5
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COASTAL AND HARBOR ENGINEERING
S", Deep ater a*e teepe (H"-L")
H", Deep ater he&'ht
L", Deep ater a*e !e'th ('T$- $)
T , Wa*e per&"dG , Acce!erat&" d%e t" 'ra*&t2
, #. @ 0.55 @ # @ # @ # , #.05
, #.# @ $. 0. , #. m 9 $m
R , H , $m
S&ce ca!c%!at&" "7 R"*er>r% the R"*er>t"p a!" t" /e reca!c%!ated & "rder t"&d&cate act%a! ("*er>t"pp&' he&'ht ad a!!"a/!e "*er>t"pp&' d&char'e)+
3 , 0.# m1-ec-m+ a%me t"ta! ett!emet a 0.# m+ , 0 9" a*e et%p &ce" /rea=&' ha /ee ec"%tered. The ma!!et et>d" &!! /e e'!ected.
The de&' e!e*at&" & determ&ed t"
Rde&', DHW 6 6 R 6 pt"ta!, .5 6 0 6 $ 60.# , . m
Design of Structure Cross&Section
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COASTAL AND HARBOR ENGINEERING
A r%//er m"%d tr%ct%re & "rma!!2 c"mp"ed "7 a /edd&' !a2er ad a c"re "7
3%arr2>r% t"e c"*ered /2 "e "r m"re !a2er "7 !ar'er t"e ad a e@ter&"r
!a2er "r !a2er "7 !ar'e 3%arr2t"e "r c"crete arm"r %&t.
;"r ">/rea=&' a*e 095 dama'e rad"m p!acemet.
N , H- (SG>#)(W-a)#-1
W , a H1- (=D)(SG>#)1c"t M
Where &+
W , ed&a e&'ht "7 arm"r %&t
D , D&ameter "7 arm"r %&t
a , P&t We&'ht "7 arm"r
H , De&' a*e he&'ht
Qd , Sta/&!&t2 c"e77&c&et
M , S!"pe a'!e "7 h"r&4"ta!
S" W , $.5 $1- (# ($.5>#)1 $) , $0-.5 , 0.$ t"
SG , a- , $.5 t-m1
Arm"r th&c=e t , =(W-a)#-1 +
Where &+
N%m/er "7 c"crete arm"r %&t & the th&c=e , $
a , We&'ht "7 &d&*&d%a! arm"r %&t
W , Spec&7&c e&'ht "7 arm"r %&t
=, La2er c"e77&c&et th&c=e
S"
t , $ @ 0. @ (0.$-$.5)#-1 , 0.#m 9 0. m
8/14/2019 rubble mound breakwater design.doc
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COASTAL AND HARBOR ENGINEERING
Cret &dth B , =(W- a)#-1, 1 @ 0. @ (0.-$.5)#-1 , $ m
Where &+
B , Cret &dth
N , N%m/er "7 t"e- arm"r c"crete (m& , 1)=, La2er c"e77&c&et
W , 8r&mar2 arm"r %&t e&'ht
a , Spec&7&c He&'ht "7 arm"r %&t mater&a!
N%m/er "7 arm"r %&t per %&t %r7ace area+ 8 , a*era'e p"r"&t2 7"r D"!" , 5
Na-A , =(#>(8-#00))(a-W)$-1, $ 0. (#>0.5)($.5-0.$)$-1, .5 9 5 %&t-m$
J"!%me "7 arm"r per %&t !e'th+
J-L , t(B 6$(h 6 R) c"t M , 0.($ 6 $(.6$)$) , 1. 9 0 m1-m
Design 'irst under (ayer "using )uarry stone$
&&m%m t" t"e th&c= ( ,$)
Pder !a2er %&t e&'ht , W-#0 , 0.$t-#0 , 0.0$ @ #000 , $0 ='
8/14/2019 rubble mound breakwater design.doc
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First under laerul!"
W10 , $$. ='
t 1ul , 0.5 m
1ulL
V
, # m 3 -m
COASTAL AND HARBOR ENGINEERING
Ne@t !ar'er a*a&!a/!e &4e & , $$. =' 9 $$. ='
Th&c=e mW
nkta
42.05.2
0277.012
3/13/1
=
=
=
J"!%me per %&t "7 /rea=ater+
H , .5 m K t arm"r , .5m > 0.m , . m
mt
t armorul 45.02
1 ==
A ,B cret , $m c"t M , $
a , A 6 $ T (c"t > cc ) , $ 6 $(0.)($>$.$) , #. m
c , h 2cot1+ , . 41+ , # m
L
V , t (a 6 $c) , 0.5 (#. 6$(#)) , # m 3 -m
Second *nder (ayer
&&m%m t" t"e th&c= (,$)
Pder !a2er %&t e&'ht ,20
W "7 the !a2er a/"*e+
8/14/2019 rubble mound breakwater design.doc
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#econd under laerul$"
W 20 , # ='
t 2ul , 0.#5 m
2ulL
V, . m 3 -m
COASTAL AND HARBOR ENGINEERING
20
W10
W ,
200
W"7 arm"r !a2er ,
200
2.0 t , # ='
Ne@t !ar'er a*a&!a/!e &4e & #.#1 ='
Th&c=e t , =
3/1)(a
W
, $ @ # @ ( 5.2001.0
) 3/1
, 0.#5 m
J"!%me per %&t !e'th "7 /rea=ater+
H , .5m > t = armorul t1 .5 m >0.m K 0.5 m , .# m
mmTAa 7.0)2.22)(5.0(29.0)csc(cot2 =+=+=
mmcatLV /39.4)327.0(15.0)2( =+=+=
Core Design
D2am&c !"ad re3%&remet+ 2515 coreWW
W , # =' W kgkgcore 5.25.1 =
kgt
W 05.04000
2.04000 ==
Ne@t !ar'er a*a&!a/!e &4e & 0. ='#0
mhc 16411.7cot1 2
=+=+=
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Core"
W 4000 , 0.05 ='
L
V, #0$ m 3 -m
COASTAL AND HARBOR ENGINEERING
Th&c=e t , 15.05.2
001.012
3/1
==
A
Wnk
J"!%me per %&t !e'th "7 /rea=ater+
mmmmmtttmhulularmor
95.615.05.09.05.85.821 ===
mTTmhH
maA
ulul
ul
15.0,1.7
;2cot,7.0
22
2
=======
mmTAa 64.0)2.22)(15.0(27.0)csc(cot2 =+=+=
mmTHAb 44.28)2.215.021.7(27.0)csccot(2 =+=+=
Trape4"&da!+
( ) ( ) mmbah
d
V/10244.2864.095.6
2
1
2
1 3=+=+=
+oe Design
B t , t"e /erm &dth ma@ ($H 0.h) + h , SWL
$H , $ $ ,
0. h , 0. @ 5.0 , $
A%me 4=tB m+
A%me he&'ht "7 t"e , mtarmor 9.0=
= SWLhb He&'ht "7 t"e , 5m K 0. m
##
4=tB
8/14/2019 rubble mound breakwater design.doc
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COASTAL AND HARBOR ENGINEERING
6082.05
1.4 3==
S
b Nh
h
( ) ( )
=
=
= t
SGN
HW
S
S 1.0
15.260
25.2
1
3
3
33
3
Nearet &4e are #1 t14.0
=
= 38.0
3/1
S
WD
$ St"e he&'ht m4.176.038.02
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%oe "
W toe , #1 ='
T"e he&'ht , 0.m
mBt 4=
COASTAL AND HARBOR ENGINEERING
( )
+=
2
1.5
23.0
23.015.1exp8.1
2
1.5
23.0
23.013.1,8.1
3/1
2
3/1MaNS
( ){ } { } 21.421.4,8.104.017.4,8.1 =+=MaNS
( ) ( ) ( )ton
SGN
HW
S
SS 08.0252
20
15.221.4
5.2
1 33
3
33 ==
=
=
Ped tW 14.0= ad reca!c%!ate &th+
84.05
2.42.48.00.5 ====
h
hmh b
S" 603 SN
+oe ,olume
A%me !"pe & #:$ /ae !e'th , cot)(2 bt hSWLB +
, 6 $ (0.) @ $ , .$ m
A%me trape4"&da!+
( )( ) ( ) mmba"eBhSWLLV tb /92.748.0
3=+=+=
+oe&to toe width
( ) cot)(2cot22 ++++++= RDHWhBhSWLBW bbt
#1
8/14/2019 rubble mound breakwater design.doc
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COASTAL AND HARBOR ENGINEERING
( ) ( ) m4.4421.025.11.42221.45242 =++++++=
Cross&Section of Breakwater Design
D-(-S S+-./ D/S0.
Brea=a'e 7"rm%!a 7"r D"!" B%rcharth #1/ ad L&% #5
321
0
#
S
#
t
# H$M#B=
Where &+
B , Re!at&*e Brea=a'e
, Arm"r %&t ma & t" 505.2 m
=T% C"crete tat&c te&!e tre'th & pa 42 T%
=SH S&'&7&cace a*e he&'ht
=3210 ,,, #### ;&tted 8arameter
#
.5 m ,
$.0 m
$.0 m , , #. m ,
.# m ,
.0 m
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COASTAL AND HARBOR ENGINEERING
Th& 7"rm%!a c"&dered the e77ect "7 tat&c ad &mpact tre.
Design Method
#5
Co C1 C C2 !aist Ratio
+runk ofDolosses
0.001 >0. >$.5 .#1 0.1$50.005 >0.#$ >#.$$ 1.# 0.1
0.0#10 >0.50 >0.50 $.# 0.$
Round endDolos
0.0$5 >0.5 >0. $.$ 0.1
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COASTAL AND HARBOR ENGINEERING
#
+ype of Armor Stones
8/14/2019 rubble mound breakwater design.doc
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COASTAL AND HARBOR ENGINEERING
#
Dimension for Dolos Stone
!a%e 3eight %s Ma45 fle4ural tensile stress for se%eral Dolos
waist ratios
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8/14/2019 rubble mound breakwater design.doc
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COASTAL AND HARBOR ENGINEERING
N , "de! Sca!e ;act"r
( ) =!S
Stat&c pr&c&pa! tre & m"de! D"!" &th pr"/a/&!&t2 "7 a e@ceedece p
T$ 8r"t"t2pe c"crete tat&c te&!e tre'th (pa)
S"
( ) ( )( ) ( )[ ]( )!S e"t!S
131.0log10
+
=
Where & +
( ) 34.045.03.091.028.2 +
++=
n
D&Log
e"tS +
3/1
1549.043.9
=
aW
Wn + = ta'et "7 eaard arm"r !"pe+
= La2er ( 0 7"r t"p # 7"r /"tt"m) , & here &ce t"p , 0+
=V
D Jert&ca! d&tace 7r"m cret t" treed D"!" !"cat&"+
( ) = '1 Ta/%!ated &*ere "rma! *ar&at&"
=W 8r"t"t2pe arm"r %&t e&'ht
=a
W Arm"r c"crete pec&7&c e&'ht
A%me the pr"/a/&!&t2 "7 a e@ceedece , 0.# ( ) 28.11 = '
Checking Criteria 'or Mcrand +cr
( )crMSM MK 7.01 ( )
ScrTST TTK +< 7.01
Where &+
#
8/14/2019 rubble mound breakwater design.doc
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COASTAL AND HARBOR ENGINEERING
=MS 0.#051 ( ) 3
rc Sect&" m"d%!e 7"r 7!e@%re
( ) = 32105.0 rcST Sect&" m"d%!e 7"r t"r&"
J , D"!" a&t rat&"+ C, D"!" 7!%=e !e'th+
== 6.0TM KK "met ad t"r&" d&tr&/%t&" 7act"r
== ctcrcr $TM 7.0 Cr&t&ca! tre'th "7 c"crete & m"met ad t"r&"
=S
T Stre'th c"tr&/%t&" 7r"m the t"r&" tee!
=1 8r&c&pa! tre re&7"rcemet
Check Steel Reinforcement 'or +orsion
( ) ( )
h(
crTTS
R$
TKSA
7.01 >
Where &+
A , T"ta! area "7 tee! &terect&' the crac=
Rh , D&tace t" the ceter "7 the ect&"
;2 , &e!d Stre'th "7 the tee!
Bed&' re&7"rcemet de&' eed t" /e ca!c%!ated /2 Wh&te2 recta'%!artre that & "%t "7 th& ca!c%!at&" 7"r th& pr"Fect.
Structure Summary:
T"ta! he&'ht (h 6 R) : . m
S!"pe (ta M) : #:$
Cret W&dth (B) : $ m
;ree/"ard (R) : $ m
Et&mated "*ert"pp&' (3) : 0.$ m1-ec-m
Sett!emet () : 0.# m (a%med)
T"e>t">T"e &dth : . m
$0
8/14/2019 rubble mound breakwater design.doc
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COASTAL AND HARBOR ENGINEERING
Arm"r: W50 , 0. t , $ t , $ mNa-A , 5 %&t-m$
J-L , 0 m1-m
;&rt Pder>La2er: W50 , $$. =' , $ t , 0.5 mJ-L , # m1-m
Sec"d Pder>La2er: W50 , # =' , $ t , 0.#5 mJ-L , . m1-m
C"re: W50 , 0.05 ='J-L , #0$ m1-m
T"e: W50 , #1 ='h/ , .# m /e!" SWLt"e he&'ht , 0. mBt , mt"e /ae &dth , .$ mJ-L , m1-m
Bedd&': W50 , .5 ='th&c=e , 0. mh"r&4"ta! !e'th , . mJ-L , 10.# m1-m
Check Settlement # Bearing Capacity:
Brea=ater L"ad
J"!%me We&'ht a/"*e SWL (dr2 %%/mer'ed !"ad):
He&'ht , . K 5.0 , 1. m B , $
W&dth at WL , B 6 $hc"t M , $ 6 $U1.U$ , #. m
J-L , V 1.($ 6 #.$) , 1. m1-m
We&'ht "7 mater&a! , Wa/"*e WL , (#>8-#00) J-L , $.5 (# K 0.1)1., 5.5 t-m
S%/mer'ed J"!%me We&'ht+
S%/mer'ed J-Lt"ta! , (J-L)arm"r 6 (J-L)%!# 6 (J-L)%!$ 6 (J-L)c"re 6(J-L)t"e 6(J-L)/ed
, 0 6 # 6 . 6 #0$ 6 6 10.# , $0 m1-m
$#
8/14/2019 rubble mound breakwater design.doc
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COASTAL AND HARBOR ENGINEERING
J-L%/mer'ed , $0 K 1. , #. m1-m
W , X(# K 8-#00) 6 (8-#00)Y J-L%/mer'ed , X$.5(#>0.1) 6
#U0.1Y#.
W/e!" WL , 1$ t-m
T"ta! L"ad Z[ , (Wa/"*e WL 6 W/e!" WL)-(7"%dat&" &dth)
Sad La2er: Z[ , (5.5 6 1$)-. , . t-m$
C!a2 La2er c"rrect 7"r d&tr&/%t&" "7 !"ad thr"%'h ad !a2er(ee d&a'ram) C!a2 La2er Z[ , (5.5 6 1$)-X. 6 $U(5.0>
0.)U$Y , .# t-m$
Bearing Capacity
E*a!%ate the %!t&mate /ear&' capac&t2 3% 7"r each !e*e! (*er2 c"er*at&*e
/%t &mp!e)
;"r at%rated %/mer'ed "&!+
Strip foundations: BNqNcNqqqq qcqcult '5.0++=++=
NOTE: This formula is not for multiple layer soils. This calculation will onlygive a rough approximation.
#and &aer: , # =N-m1 \ , 10] c , 0+
Ter4a'h& Ta/!e: Nc , 1.# N3 , $$. N , #.#1
$$
50!ac
4"/m#' 3
==
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COASTAL AND HARBOR ENGINEERING
D7 , ;"%dat&" depth (/edd&' !a2er th&c=e) , 0. m
A%me , #0 =N-m1
Brea=ater 7"%dat&" &dth (e'!ect /ed) , . m
3c , cNc , 0
3, ^D7N3 , (#>#0)U0.U$$. , =N-m$ 3
3 , V ^BN , V U(#>#0) U.U#.#1 , $1 =N-m$
3% , 0 6 6 $1 , 10 =N-m$ , 1$5 t-m$
Z[ , . t-m$
;S , 3%- Z[ , 10-. , 15.
;Sad , 1
Cla &aer: , # =N-m1 \ , 0 c , 50 =N-m$
Ter4a'h& Ta/!e: Nc , 5. N3 , # N , 0
D7 , 0
3c , cNc , 50U5. , $5 =N-m$
3, ^D7N3 , 0 3
3 , V ^BN , 0
3% , $5 6 0 6 0 , $5 =N-m$ , $.5 t-m$
c!a2 !a2er a!" %pp"rt the ad !a2er: Z[ad , 0.U. t-m$ , .0$ t-m$
Z[ , .# t-m$ 6 .0$ t-m$ , #$.$# t-m$
;S , 3%- Z[ , $.5-#$.$# , 1.$
;Sc!a2 , $.1
'reliminar #a(et Factor ) F# * $.+
$1
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COASTAL AND HARBOR ENGINEERING
Settlement
Sad La2er: 2/6.8 mt=
C!a2 La2er: 2/2.6 mt=
Check settlement in #and"
A%me 10>B
L 2.010 == )) ** +
Depth "7 10.1$ 10 === )B++*+'
( ) 2'' /314.447.017.1 mtB)Bu+'+' =====
( ) 20'' /2.86.017.16.8 mtq) ===
55.031
2.81.05.01.05.0
'
=+=
+=+'
++'*
Depth "7 &7!%ece: mB+ 1784.4444 ===
A%me "e !a2er m+ 9.4=
$
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COASTAL AND HARBOR ENGINEERING
24.045.24.44
2.055.022.0
2.02.045.2
2
9.4 =+=
+=== ++
**m+
'
)!)
A%me2
60
/5025% mtbarN
qc = (ee ta/!e & "te)
2/175505.35.310 mtq,B
Lc ====
(N"te: E ta/!e & "te '&*e E #0@ h&'her 7"r !""e ad)
( )97.0
2.8
6.017.15.015.01
'
'
0
1 =
=
=
)
#
+
a""umet
# (r"
,5.11.0
25log2.01
1.0log2.01 10102 =
+=
+= $5>2ear !&7e+
m+,
*
## --
n
-
)
01.09.4175
22.0
5.197.0121 =
=
= =
Check settlement in cla"
8r&mar2 c""!&dat&" ett!emet ( )c
3/14 mkN= 00= c , 50 =8a 2.20 =e "cmk /10 5= kNma&
/23103
=
3.0=#
#
2/2.6 mt=
( ) ( ) 2'0 /7.75.2114.12
19.417.1 mt=+=
A%me 06.02.0 == #R ##
$5
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COASTAL AND HARBOR ENGINEERING
O*er>c""!&dated+ mc 9.07.7
0.57.7log
2.21
5.2106.0=
+
+=
C"&der t&me t" c""!&date+
(rm(rda("da(hr"hr"cmm"cmk /15.3/365/24/3600/10/10
25
==
( ) ( )(rm
a
ekc
VW
V /33610310
2.2115.31 23
0 =+
=+
=
1=N ( ) 129.1&95 =VT
(r"c
HTt
N
H
tcT
&
V
&
V 55.1336
5.21129.1
22
2 ===
=
Sec"dar2 c""!&dat&" ett!emet ( )S
A%me 01.0%03.0% ac
a ##
#
A%me (r"t' 2= ad the /rea=ater !&7et&me & $5 2r+
mt
t
e
H#
'
%
S 07.0
2
25log
2.21
5.2101.0log
10
=
+
=
+
=
m"c 16.007.009.001 =++=++=
S" that
T"ta! Sett!emet mcla("and 17.016.001.0 =+=+= 9 0.$ m
,t should recalculate design with m2.0% vice .! m
$
8/14/2019 rubble mound breakwater design.doc
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COASTAL AND HARBOR ENGINEERING
R/'/R/.C/S
- Coastal Engineering Manual - Part IV, USACE, 1 August 2008
- Iranian Coastal Engineering Code manual N!"00-# $ I%AN Ministr& o'
(rans)ortation,200#
$