SlideShare une entreprise Scribd logo
1  sur  39
Design of Rubble Mound Seawall
Harbour Structure Analysis
Project
By :
Shailesh Shukla
M.Tech – D&H
Under the Guidance of :
Mrs. K. Muthuchelvi Thangam,
Scientist B, IMU
OBJECTIVE :
 The main objective of constructing a seawall is to
protect the structures or properties along the shore
from being hit by the waves coming from the sea.
 Depending upon the type of sea conditions different
types of seawall are constructed.
 It also acts as a barrier for soil erosion.
INTRODUCTION :
 Seawall is a protective structure, made of stone or concrete; extends
from shore into the sea to prevent a beach or coastal boundary from
washing away.
 It is designed to prevent coastal erosion and other damages due to
wave action and storm surge, such as flooding.
 Seawalls are normally very massive structures because they are
designed to resist the full force of waves and storm surge.
 A structure separating land and water areas.
PURPOSE OF SEA WALLS :
protect areas of human habitation
impede the exchange of sediment between land and sea.
Figure: Seawall at Bandra in Mumbai
 Coastal erosion is wearing of land and removal of beach or dune
sediments by wave action, wave currents and tidal currents.
 Erosion of the coast depends on many factors like
 nature of the beach
 beach material
 the shape of the coast
 tidal level changes
 human interference
 Coastal Structures :
 Seawalls, revetments, anti-sea erosion bunds
 System of groynes or jetties – shore connected
 System of offshore breakwaters - away from the shore
Types of sea walls :
 A seawall is typically a sloping concrete structure; it can be
smooth, stepped-faced or curved-faced.
 A seawall can also be built as a rubble-mound structure, as a
block seawall, steel or wooden structure.
There are three types of sea walls-
 Vertical sea walls
 Curved sea walls
 Mounted sea wall
1. Vertical sea walls:
 The first implemented, most easily designed and constructed type of
seawall.
 Vertical sea walls deflect wave energy away from the coast.
 Loose rubble can absorb wave energy
2. Curved sea walls:
 Concave structure introduces a dissipative element.
 The curve can prevent waves from overtopping the wall and provides
extra protection for the toe of the wall.
 Curved seawalls aim to re-direct most of the incident energy, resulting
in low reflected waves and much reduced turbulence.
3. Mounted sea walls :
 Current designs use porous designs of rock, concrete armour.
 Slope and loose material ensure maximum dissipation of wave
energy.
 Lower cost option.
Advantages of sea walls:
 Long term solution in comparison to soft beach nourishment.
 Effectively minimizes loss of life in extreme events and damage to
property caused by erosion.
 Can exist longer in high energy environments in comparison to
‘soft’ engineering methods.
 Can be used for recreation and sightseeing.
 Forms a hard and strong coastal defense.
Disadvantages of sea walls:
 Very expensive to construct.
 Can cause beaches to dissipate rendering them useless for beach goers.
 Scars the very landscape that they are trying to save and provides an
‘eyesore.’
 Reflected energy of waves leading to scour at base.
 Can disrupt natural shoreline processes and destroy shoreline habitats
such as wetlands and intertidal beaches.
 Altered sediment transport processes can disrupt sand movement that
can lead to increased erosion down drift from the structure.
DESIGN CONSIDERATIONS :
The function of the seawall is to dissipate the wave energy and
allow formation of beach in front of it. As such, the sloping
rubble mound seawall is the most suitable type of seawall.
Figure : Wave Action on curved seawall
Rubble mound Seawall :
 The rubble mound seawall is generally designed to consist of three
layers i.e. core, secondary layer and an armour layer.
 A minimum of two layers of stones (units) in the armour and
secondary layer is always necessary.
 While the thicknesses of these layers are determined by the size
of stones used, the levels including that of the core are
determined based on maximum water level, design wave height,
wave run-up, permissible overtopping and method of construction.
steps to design an adequate and efficient rubble mound seawall :
Determine the water level range for the site.
Determine the wave heights .
Determine the beach profile after the storm condition / monsoon.
Select the suitable location and configuration of the seawall .
Select suitable armour to resist the design wave .
Select size of the armour unit .
Determine potential run-up to set the crest elevation.
Determine amount of overtopping expected for low structures.
Design under-drainage features if they are required.
Provide for local surface runoff and overtopping runoff and make
any required provisions for other drainage facilities such as culverts
and ditches.
Consider end condition to avoid failure due to flanking.
Design toe protection .
Design filter and under layers.
Provide for firm compaction of all fill and back-fill materials.
This requirement should be included on the plans and in the
specifications. Also, due allowance for compaction must be made in
the cost estimate .
 Develop cost estimate for each alternative.
Provision for regular maintenance and repairs of the structure.
Position of the seawall :
Determination of the beach profile and the water levels are
important.
The highest and the lowest water levels at the site must be known. The
highest water level helps in deciding the exact crest level while
the lowest water level guides the location of the toe.
With steeper slopes, damage to armour stones is more as
compared to flat bed slope.
The seawall should be located in such a position that the
maximum wave attack is taken by the armour slope and the toe.
If located above the high water level contour, the waves will
break in front of the seawall causing scouring and subsequent failure.
Under estimation of maximum water level, incorrect information
of beach slope considered, steeping of foreshore.
Presence of a large number of smaller stones than design size are
a few of them. large percentage of undersized armour.
Stones having excessively rounded corners attribute to repetitive
displacements and consequent attrition and abrasion.
The displacement of the armours has resulted in the exposure of
secondary layer, which is completely exposed to the fury of waves
Under design of Armour :
Figure 3: Under Design of Armour layer Leads to Failure of Seawall
TOE PROTECTION :
 Toe stability is essential because failure of the toe will generally lead to
failure throughout the entire structure. Toe is generally governed by
hydraulic criteria.
 Factors that affect the severity of toe scour:
 wave breaking (near the toe),wave run-up and backwash, wave
reflection and grain size.
 Toe protection must consider geo-technical as well as hydraulic factors.
 The toe apron should be at least twice the incident wave height for sheet-pile
walls and equal to the incident wave height for gravity walls.
Figure 4: Seawall with toe protection
provision of filters :
In seawall there is removal of fill material by overtopped water,
there is no proper filter between the sloping fill and the seawall.
Failure of toe leads to dislodging of armour, makes seawall ineffective.
Reformation of profile is to be done and it is necessary to provide a
proper filter before reforming the section.
This can be done by dumping additional stones or retrieving some of
the displaced stones.
Rounded Stones :
In order to achieve efficient interlocking, the rock should
be sound and the individual units should have sharp edges.
Blunt or round edges result in poor interlocking and hence
poor stability (lower stability factor KD)
Rounded stones result in lower porosity and are less efficient
in dissipation of wave energy.
Figure 7: Rounded Stones in
Armour Layer of a Seawall
WEAK POCKETS :
Several weak spots are often present in rubble mound structures,
which may be attributable to reasons such as lack of supervision,
quarry yielding smaller stones or deliberate attempts to dispose of
undersized stones etc.
Concentration of stones much smaller than the required armour should
therefore be avoided at any cost
Concentration of stones much smaller than the required armour should
therefore be avoided at any cost
Design Wave Estimation, Wave Height and Stability Considerations :
Wave heights and periods should be chosen to produce the
most critical combination of forces on a structure .
Wave characteristics may be based on –
 Analysis of wave gauge records
 Visual observations of wave action
 Published wave hind casts
 Wave forecasts or the maximum breaking wave at the site
Using refraction and diffraction techniques
 When selecting the height of protection, one must consider-
 the maximum water level
 any anticipated structure settlement
 freeboard
 wave run-up and overtopping.
 Elevation of the structure is perhaps the single most important
controlling design factor and is also critical to the
performance of the structure.
Height of Protection :
Wave Run-up :
Run-up is the vertical height above the still-water level (SWL) to
which the uprush from a wave will rise on a structure.
It is not the distance measured along the inclined surface.
Overtopping:
Overtopping is generally preferable to design shore protection
structures to be high enough to preclude overtopping.
In some cases, however, prohibitive costs or other considerations
may dictate lower structures than ideally needed.
In those cases it may be necessary to estimate the volume of
water per unit time that may overtop the structure.
Overtopping :
Figure 6: Overtopping of Waves Over Seawall
 The usual steps needed to develop an adequate seawall design
follow.
 Determine the water level range for the site
 Determine the wave heights
 Significant wave height Hs = mean of 1/3 of the maximum waves
 Depth of water = H
 Design pile foundations using EM 1110-2-2906.
26
DESIGN PROCEDURE :
Location = India / Kerala / Alappuzha / Kamalapuram
Length of Seawall = 1550 m
Latitude and Longitude = 9̊ 24’ 13.93” N 76̊ 20’33.66” E
LENGTH AND LOCATION OF SEAWALL :
The above site has been selected due to the erosion of land along
the coast as compared in the pictures above.
2003 2013
Reason for Site Selection :
Design Calculation:
DETERMINING SIGNIFICANT WAVE HEIGHT :
DETERMINING WAVE PERIOD :
Select a suitable armor unit type and size
Weight of armour unit,
Wa = 𝛒a H3 / KD∆3cotø
where 𝛒a = unit wt. of armour unit
H = significant wave height
KD = stability coefficient
∆ = relative mass density
∆ = ( 𝛒a / 𝛒w ) – 1
𝛒w = density of sea water = 1.025 T/m3
31
DESIGN PROCEDURE :
Crest width of armour layer
B = n K∆(Wa / 𝛒a)1/3
where n = number of stones
K∆ = layer coefficient
Thickness of armour layer
t = n K∆ (Wa / 𝛒a)1/3
where n = number of stones
32
DESIGN PROCEDURE :
Under layer thickness is same as armour layer
So Weight of under layer = Wa /10 to Wa /15
Where Wa = Wt. of armour unit
Weight of core layer = Wa /100 to Wa /400
Width of toe berm = 2 x Hs
Depth of toe berm = 0.4 x d
Where Hs = design wave height
d = depth of water
33
DESIGN PROCEDURE :
Significant wave height = 1.524 + 1 = 2.524 m
Depth of water = 2.524 m
Time Period of Approaching waves = 7.468 sec
Weight of armour unit,
Wa = 𝛒a H3 / KD∆3cotø
= 2.65 x (2.524) 3 / 2 x {(2.65/1.025) -1} 3 x 1.5
= 3.56 T
Crest width of armour layer :
B = n K∆(Wa / 𝛒a)1/3
where n = number of stones = 3
K∆ = layer coefficient
B = n x 1 x (3.56/2.65) 1/3
= 3 x 1.1034 m
= 3.31 m
Thickness of armour layer :
t = n K∆ (Wa / 𝛒a)1/3
where n = number of stones = 2
= 2 x 1 x (3.56/2.65) 1/3
= 2 x 1.1034 m
= 2.2068 m
Weight of under layer = Wa /10 to Wa /15
Where Wa = Wt. of armour unit
= 3.56/10 to 3.56/15
= 0.356 T to 0.237T
Weight of core layer = Wa /100 to Wa /400
= 3.56/100 to 3.56/400
= 0.0356 T to 0.0089 T
Weight of toe berm = Wa /10 to Wa /15
Where Wa = Wt. of armour unit
= 3.56/10 to 3.56/15
= 0.356 T to 0.237T
Width of toe berm = 2 x Hs = 2x 1.524= 3.05 m
Depth of toe berm = 0.4 x d = 0.4 x 3.224 = 1.29 m
Structure height = Thickness of armour layer + Thickness of under layer
+Depth of toe berm + Thickness of bedding layer
= 2.2068 +2.2068 +1.2896 + 1
= 6.7m
Weight of Structure = Weight of armour unit + Weight of under layer +
Weight of core layer + Weight of toe berm
= 3.56 + 0.356 + 0.0356 + 0.356
= 4.31T
Length of Seawall = 1550m
Weight of Structure = 4.31 x A *1550
= 1472.27T
23 May 2015

Contenu connexe

Tendances

Breakwaters and types
Breakwaters and types Breakwaters and types
Breakwaters and types M Aamer Raza
 
marine coastal structures
marine coastal structuresmarine coastal structures
marine coastal structuresShirsak Mondal
 
Chapter 5 coastal structures
Chapter  5 coastal structuresChapter  5 coastal structures
Chapter 5 coastal structuresMohsin Siddique
 
1.2 flood damage mitigation reservoirs
1.2 flood damage mitigation reservoirs1.2 flood damage mitigation reservoirs
1.2 flood damage mitigation reservoirsShane_mira
 
Concrete Armors | Rubble mound breakwaters
Concrete Armors | Rubble mound breakwatersConcrete Armors | Rubble mound breakwaters
Concrete Armors | Rubble mound breakwatersAravind Samala
 
Chapter 2 wave and tides with examples
Chapter  2 wave and tides with examplesChapter  2 wave and tides with examples
Chapter 2 wave and tides with examplesMohsin Siddique
 
Dams and Reservoirs -Hydraulics engineering
Dams and Reservoirs -Hydraulics engineeringDams and Reservoirs -Hydraulics engineering
Dams and Reservoirs -Hydraulics engineeringCivil Zone
 
Offshore Structures Presentation
Offshore Structures PresentationOffshore Structures Presentation
Offshore Structures Presentationsurya3303
 
Spillways and Flood Control Works
Spillways and Flood Control WorksSpillways and Flood Control Works
Spillways and Flood Control WorksGAURAV. H .TANDON
 
Chapter 1 introduction to coastal engineering and management strategies
Chapter  1 introduction to coastal engineering and management strategiesChapter  1 introduction to coastal engineering and management strategies
Chapter 1 introduction to coastal engineering and management strategiesMohsin Siddique
 
Coastal Protection Measures Hard Engineering
Coastal Protection Measures Hard EngineeringCoastal Protection Measures Hard Engineering
Coastal Protection Measures Hard Engineeringchua.geog
 
design of gravity dam
design of gravity damdesign of gravity dam
design of gravity damRisso Johnny
 
Artificial islands
Artificial islandsArtificial islands
Artificial islandsMridul Naidu
 
Hydraulic structures pdf
Hydraulic structures pdfHydraulic structures pdf
Hydraulic structures pdfSaqib Imran
 

Tendances (20)

Breakwaters and types
Breakwaters and types Breakwaters and types
Breakwaters and types
 
marine coastal structures
marine coastal structuresmarine coastal structures
marine coastal structures
 
Chapter 5 coastal structures
Chapter  5 coastal structuresChapter  5 coastal structures
Chapter 5 coastal structures
 
Breakwaters
BreakwatersBreakwaters
Breakwaters
 
Coastal engineering
Coastal engineeringCoastal engineering
Coastal engineering
 
1.2 flood damage mitigation reservoirs
1.2 flood damage mitigation reservoirs1.2 flood damage mitigation reservoirs
1.2 flood damage mitigation reservoirs
 
Concrete Armors | Rubble mound breakwaters
Concrete Armors | Rubble mound breakwatersConcrete Armors | Rubble mound breakwaters
Concrete Armors | Rubble mound breakwaters
 
Rubble mound breakwater
Rubble mound breakwaterRubble mound breakwater
Rubble mound breakwater
 
Chapter 2 wave and tides with examples
Chapter  2 wave and tides with examplesChapter  2 wave and tides with examples
Chapter 2 wave and tides with examples
 
Sluice gates
Sluice gatesSluice gates
Sluice gates
 
Dams and Reservoirs -Hydraulics engineering
Dams and Reservoirs -Hydraulics engineeringDams and Reservoirs -Hydraulics engineering
Dams and Reservoirs -Hydraulics engineering
 
Offshore Structures Presentation
Offshore Structures PresentationOffshore Structures Presentation
Offshore Structures Presentation
 
Spillways and Flood Control Works
Spillways and Flood Control WorksSpillways and Flood Control Works
Spillways and Flood Control Works
 
Chapter 1 introduction to coastal engineering and management strategies
Chapter  1 introduction to coastal engineering and management strategiesChapter  1 introduction to coastal engineering and management strategies
Chapter 1 introduction to coastal engineering and management strategies
 
Coastal Protection Measures Hard Engineering
Coastal Protection Measures Hard EngineeringCoastal Protection Measures Hard Engineering
Coastal Protection Measures Hard Engineering
 
Ship resistance in confined water
Ship resistance in confined waterShip resistance in confined water
Ship resistance in confined water
 
design of gravity dam
design of gravity damdesign of gravity dam
design of gravity dam
 
Earthen Dam
Earthen DamEarthen Dam
Earthen Dam
 
Artificial islands
Artificial islandsArtificial islands
Artificial islands
 
Hydraulic structures pdf
Hydraulic structures pdfHydraulic structures pdf
Hydraulic structures pdf
 

En vedette (11)

Port Planning Pricing Tariff
Port Planning  Pricing TariffPort Planning  Pricing Tariff
Port Planning Pricing Tariff
 
Berthing structures
Berthing structuresBerthing structures
Berthing structures
 
Port Development - a handbook for planners in developing countries
Port Development - a handbook for planners in developing countries Port Development - a handbook for planners in developing countries
Port Development - a handbook for planners in developing countries
 
Significant Guidance for Design and Construction of Marine and Offshore Struc...
Significant Guidance for Design and Construction of Marine and Offshore Struc...Significant Guidance for Design and Construction of Marine and Offshore Struc...
Significant Guidance for Design and Construction of Marine and Offshore Struc...
 
Classification of port and harbour ppt.pptx
Classification of port and harbour ppt.pptxClassification of port and harbour ppt.pptx
Classification of port and harbour ppt.pptx
 
The Port Planning Process
The Port Planning ProcessThe Port Planning Process
The Port Planning Process
 
Spillways
SpillwaysSpillways
Spillways
 
Docks and their classification
Docks and their classificationDocks and their classification
Docks and their classification
 
Design principles and requirements of harbours
Design principles and requirements of harboursDesign principles and requirements of harbours
Design principles and requirements of harbours
 
Coastal zone management
Coastal zone managementCoastal zone management
Coastal zone management
 
Port operations & management slideshow
Port operations & management slideshowPort operations & management slideshow
Port operations & management slideshow
 

Similaire à Design of Rubble Mound Seawall

Retaining walls - A case study of the Worli Seaface
Retaining walls - A case study of the Worli SeafaceRetaining walls - A case study of the Worli Seaface
Retaining walls - A case study of the Worli SeafaceRithika Ravishankar
 
Coastal structure.pdf
 Coastal structure.pdf Coastal structure.pdf
Coastal structure.pdfDibenduRoy1
 
breakwaters-160417214939-170205074559.pdf
breakwaters-160417214939-170205074559.pdfbreakwaters-160417214939-170205074559.pdf
breakwaters-160417214939-170205074559.pdfTeknikSipilUnissula
 
Coastal defense structures
Coastal defense structuresCoastal defense structures
Coastal defense structuresAjit Kumar
 
Aahe ppt grp 5 (2).pptx
Aahe ppt grp 5 (2).pptxAahe ppt grp 5 (2).pptx
Aahe ppt grp 5 (2).pptxakshitha1201
 
Coastal erosion mitigation
Coastal erosion mitigationCoastal erosion mitigation
Coastal erosion mitigationPramoda Raj
 
Rock mechanics
Rock mechanicsRock mechanics
Rock mechanicsZeomSlim
 
seminar-tsunami.pptx
seminar-tsunami.pptxseminar-tsunami.pptx
seminar-tsunami.pptxpandieswarim1
 
L1 coastal management strategies.1pptx
L1 coastal management strategies.1pptxL1 coastal management strategies.1pptx
L1 coastal management strategies.1pptxSHS Geog
 
Hard Engineering.pptx
Hard Engineering.pptxHard Engineering.pptx
Hard Engineering.pptxElliotDennis3
 
Shore protection copy
Shore protection   copyShore protection   copy
Shore protection copyHamid Hussain
 
Coastal Management
Coastal ManagementCoastal Management
Coastal ManagementMrs Coles
 
Advanced technologies for costal protection
Advanced technologies for costal protectionAdvanced technologies for costal protection
Advanced technologies for costal protectionLINGA SAI TEJA
 
Opportunities for Climate Resilience_04-29-13_FINAL
Opportunities for Climate Resilience_04-29-13_FINALOpportunities for Climate Resilience_04-29-13_FINAL
Opportunities for Climate Resilience_04-29-13_FINALTobi Petrocelli, PhD
 
L1 coastal management strategies
L1 coastal management strategiesL1 coastal management strategies
L1 coastal management strategiesandypinks
 

Similaire à Design of Rubble Mound Seawall (20)

Retaining walls - A case study of the Worli Seaface
Retaining walls - A case study of the Worli SeafaceRetaining walls - A case study of the Worli Seaface
Retaining walls - A case study of the Worli Seaface
 
Coastal structure.pdf
 Coastal structure.pdf Coastal structure.pdf
Coastal structure.pdf
 
breakwaters-160417214939-170205074559.pdf
breakwaters-160417214939-170205074559.pdfbreakwaters-160417214939-170205074559.pdf
breakwaters-160417214939-170205074559.pdf
 
Coastal defense structures
Coastal defense structuresCoastal defense structures
Coastal defense structures
 
Aahe ppt grp 5 (2).pptx
Aahe ppt grp 5 (2).pptxAahe ppt grp 5 (2).pptx
Aahe ppt grp 5 (2).pptx
 
Coastal erosion mitigation
Coastal erosion mitigationCoastal erosion mitigation
Coastal erosion mitigation
 
Breakwaters
BreakwatersBreakwaters
Breakwaters
 
Rock mechanics
Rock mechanicsRock mechanics
Rock mechanics
 
seminar-tsunami.pptx
seminar-tsunami.pptxseminar-tsunami.pptx
seminar-tsunami.pptx
 
L1 coastal management strategies.1pptx
L1 coastal management strategies.1pptxL1 coastal management strategies.1pptx
L1 coastal management strategies.1pptx
 
Hard Engineering.pptx
Hard Engineering.pptxHard Engineering.pptx
Hard Engineering.pptx
 
Shore protection copy
Shore protection   copyShore protection   copy
Shore protection copy
 
Coastal Management
Coastal ManagementCoastal Management
Coastal Management
 
Advanced technologies for costal protection
Advanced technologies for costal protectionAdvanced technologies for costal protection
Advanced technologies for costal protection
 
Breakwater construction
Breakwater constructionBreakwater construction
Breakwater construction
 
Opportunities for Climate Resilience_04-29-13_FINAL
Opportunities for Climate Resilience_04-29-13_FINALOpportunities for Climate Resilience_04-29-13_FINAL
Opportunities for Climate Resilience_04-29-13_FINAL
 
L1 coastal management strategies
L1 coastal management strategiesL1 coastal management strategies
L1 coastal management strategies
 
Costal Protection
Costal ProtectionCostal Protection
Costal Protection
 
Costal Protection
Costal ProtectionCostal Protection
Costal Protection
 
Costal Protection
Costal ProtectionCostal Protection
Costal Protection
 

Plus de SHAILESH SHUKLA

Summer Training Report, DLW Varanasi
Summer Training Report, DLW VaranasiSummer Training Report, DLW Varanasi
Summer Training Report, DLW VaranasiSHAILESH SHUKLA
 
IMPRESSED CURRENT CATHODIC PROTECTION
IMPRESSED CURRENT CATHODIC PROTECTIONIMPRESSED CURRENT CATHODIC PROTECTION
IMPRESSED CURRENT CATHODIC PROTECTIONSHAILESH SHUKLA
 
VESSEL TRAFFIC MANAGEMENT SYSTEM
VESSEL TRAFFIC MANAGEMENT SYSTEMVESSEL TRAFFIC MANAGEMENT SYSTEM
VESSEL TRAFFIC MANAGEMENT SYSTEMSHAILESH SHUKLA
 
Cruise missile technology By shailesh shukla ppt
Cruise missile technology By shailesh shukla pptCruise missile technology By shailesh shukla ppt
Cruise missile technology By shailesh shukla pptSHAILESH SHUKLA
 
“STUDY AND FABRICATION OF OUTDOOR MIST/FOG COOLING SYSTEM THROUGH HIGH PRESSU...
“STUDY AND FABRICATION OF OUTDOOR MIST/FOG COOLING SYSTEM THROUGH HIGH PRESSU...“STUDY AND FABRICATION OF OUTDOOR MIST/FOG COOLING SYSTEM THROUGH HIGH PRESSU...
“STUDY AND FABRICATION OF OUTDOOR MIST/FOG COOLING SYSTEM THROUGH HIGH PRESSU...SHAILESH SHUKLA
 
Summer Training Presentation, DLW Varanasi
Summer Training Presentation, DLW VaranasiSummer Training Presentation, DLW Varanasi
Summer Training Presentation, DLW VaranasiSHAILESH SHUKLA
 

Plus de SHAILESH SHUKLA (6)

Summer Training Report, DLW Varanasi
Summer Training Report, DLW VaranasiSummer Training Report, DLW Varanasi
Summer Training Report, DLW Varanasi
 
IMPRESSED CURRENT CATHODIC PROTECTION
IMPRESSED CURRENT CATHODIC PROTECTIONIMPRESSED CURRENT CATHODIC PROTECTION
IMPRESSED CURRENT CATHODIC PROTECTION
 
VESSEL TRAFFIC MANAGEMENT SYSTEM
VESSEL TRAFFIC MANAGEMENT SYSTEMVESSEL TRAFFIC MANAGEMENT SYSTEM
VESSEL TRAFFIC MANAGEMENT SYSTEM
 
Cruise missile technology By shailesh shukla ppt
Cruise missile technology By shailesh shukla pptCruise missile technology By shailesh shukla ppt
Cruise missile technology By shailesh shukla ppt
 
“STUDY AND FABRICATION OF OUTDOOR MIST/FOG COOLING SYSTEM THROUGH HIGH PRESSU...
“STUDY AND FABRICATION OF OUTDOOR MIST/FOG COOLING SYSTEM THROUGH HIGH PRESSU...“STUDY AND FABRICATION OF OUTDOOR MIST/FOG COOLING SYSTEM THROUGH HIGH PRESSU...
“STUDY AND FABRICATION OF OUTDOOR MIST/FOG COOLING SYSTEM THROUGH HIGH PRESSU...
 
Summer Training Presentation, DLW Varanasi
Summer Training Presentation, DLW VaranasiSummer Training Presentation, DLW Varanasi
Summer Training Presentation, DLW Varanasi
 

Dernier

Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...
Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...
Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...Dr.Costas Sachpazis
 
Online banking management system project.pdf
Online banking management system project.pdfOnline banking management system project.pdf
Online banking management system project.pdfKamal Acharya
 
Introduction to IEEE STANDARDS and its different types.pptx
Introduction to IEEE STANDARDS and its different types.pptxIntroduction to IEEE STANDARDS and its different types.pptx
Introduction to IEEE STANDARDS and its different types.pptxupamatechverse
 
MANUFACTURING PROCESS-II UNIT-5 NC MACHINE TOOLS
MANUFACTURING PROCESS-II UNIT-5 NC MACHINE TOOLSMANUFACTURING PROCESS-II UNIT-5 NC MACHINE TOOLS
MANUFACTURING PROCESS-II UNIT-5 NC MACHINE TOOLSSIVASHANKAR N
 
Structural Analysis and Design of Foundations: A Comprehensive Handbook for S...
Structural Analysis and Design of Foundations: A Comprehensive Handbook for S...Structural Analysis and Design of Foundations: A Comprehensive Handbook for S...
Structural Analysis and Design of Foundations: A Comprehensive Handbook for S...Dr.Costas Sachpazis
 
The Most Attractive Pune Call Girls Manchar 8250192130 Will You Miss This Cha...
The Most Attractive Pune Call Girls Manchar 8250192130 Will You Miss This Cha...The Most Attractive Pune Call Girls Manchar 8250192130 Will You Miss This Cha...
The Most Attractive Pune Call Girls Manchar 8250192130 Will You Miss This Cha...ranjana rawat
 
The Most Attractive Pune Call Girls Budhwar Peth 8250192130 Will You Miss Thi...
The Most Attractive Pune Call Girls Budhwar Peth 8250192130 Will You Miss Thi...The Most Attractive Pune Call Girls Budhwar Peth 8250192130 Will You Miss Thi...
The Most Attractive Pune Call Girls Budhwar Peth 8250192130 Will You Miss Thi...ranjana rawat
 
Call Girls Pimpri Chinchwad Call Me 7737669865 Budget Friendly No Advance Boo...
Call Girls Pimpri Chinchwad Call Me 7737669865 Budget Friendly No Advance Boo...Call Girls Pimpri Chinchwad Call Me 7737669865 Budget Friendly No Advance Boo...
Call Girls Pimpri Chinchwad Call Me 7737669865 Budget Friendly No Advance Boo...roncy bisnoi
 
VIP Call Girls Ankleshwar 7001035870 Whatsapp Number, 24/07 Booking
VIP Call Girls Ankleshwar 7001035870 Whatsapp Number, 24/07 BookingVIP Call Girls Ankleshwar 7001035870 Whatsapp Number, 24/07 Booking
VIP Call Girls Ankleshwar 7001035870 Whatsapp Number, 24/07 Bookingdharasingh5698
 
Call Girls in Nagpur Suman Call 7001035870 Meet With Nagpur Escorts
Call Girls in Nagpur Suman Call 7001035870 Meet With Nagpur EscortsCall Girls in Nagpur Suman Call 7001035870 Meet With Nagpur Escorts
Call Girls in Nagpur Suman Call 7001035870 Meet With Nagpur EscortsCall Girls in Nagpur High Profile
 
Extrusion Processes and Their Limitations
Extrusion Processes and Their LimitationsExtrusion Processes and Their Limitations
Extrusion Processes and Their Limitations120cr0395
 
Call for Papers - African Journal of Biological Sciences, E-ISSN: 2663-2187, ...
Call for Papers - African Journal of Biological Sciences, E-ISSN: 2663-2187, ...Call for Papers - African Journal of Biological Sciences, E-ISSN: 2663-2187, ...
Call for Papers - African Journal of Biological Sciences, E-ISSN: 2663-2187, ...Christo Ananth
 
UNIT-III FMM. DIMENSIONAL ANALYSIS
UNIT-III FMM.        DIMENSIONAL ANALYSISUNIT-III FMM.        DIMENSIONAL ANALYSIS
UNIT-III FMM. DIMENSIONAL ANALYSISrknatarajan
 
Porous Ceramics seminar and technical writing
Porous Ceramics seminar and technical writingPorous Ceramics seminar and technical writing
Porous Ceramics seminar and technical writingrakeshbaidya232001
 
Introduction to Multiple Access Protocol.pptx
Introduction to Multiple Access Protocol.pptxIntroduction to Multiple Access Protocol.pptx
Introduction to Multiple Access Protocol.pptxupamatechverse
 
High Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur Escorts
High Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur EscortsHigh Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur Escorts
High Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur EscortsCall Girls in Nagpur High Profile
 
Booking open Available Pune Call Girls Koregaon Park 6297143586 Call Hot Ind...
Booking open Available Pune Call Girls Koregaon Park  6297143586 Call Hot Ind...Booking open Available Pune Call Girls Koregaon Park  6297143586 Call Hot Ind...
Booking open Available Pune Call Girls Koregaon Park 6297143586 Call Hot Ind...Call Girls in Nagpur High Profile
 
BSides Seattle 2024 - Stopping Ethan Hunt From Taking Your Data.pptx
BSides Seattle 2024 - Stopping Ethan Hunt From Taking Your Data.pptxBSides Seattle 2024 - Stopping Ethan Hunt From Taking Your Data.pptx
BSides Seattle 2024 - Stopping Ethan Hunt From Taking Your Data.pptxfenichawla
 

Dernier (20)

Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...
Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...
Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...
 
Online banking management system project.pdf
Online banking management system project.pdfOnline banking management system project.pdf
Online banking management system project.pdf
 
Introduction to IEEE STANDARDS and its different types.pptx
Introduction to IEEE STANDARDS and its different types.pptxIntroduction to IEEE STANDARDS and its different types.pptx
Introduction to IEEE STANDARDS and its different types.pptx
 
MANUFACTURING PROCESS-II UNIT-5 NC MACHINE TOOLS
MANUFACTURING PROCESS-II UNIT-5 NC MACHINE TOOLSMANUFACTURING PROCESS-II UNIT-5 NC MACHINE TOOLS
MANUFACTURING PROCESS-II UNIT-5 NC MACHINE TOOLS
 
Structural Analysis and Design of Foundations: A Comprehensive Handbook for S...
Structural Analysis and Design of Foundations: A Comprehensive Handbook for S...Structural Analysis and Design of Foundations: A Comprehensive Handbook for S...
Structural Analysis and Design of Foundations: A Comprehensive Handbook for S...
 
The Most Attractive Pune Call Girls Manchar 8250192130 Will You Miss This Cha...
The Most Attractive Pune Call Girls Manchar 8250192130 Will You Miss This Cha...The Most Attractive Pune Call Girls Manchar 8250192130 Will You Miss This Cha...
The Most Attractive Pune Call Girls Manchar 8250192130 Will You Miss This Cha...
 
The Most Attractive Pune Call Girls Budhwar Peth 8250192130 Will You Miss Thi...
The Most Attractive Pune Call Girls Budhwar Peth 8250192130 Will You Miss Thi...The Most Attractive Pune Call Girls Budhwar Peth 8250192130 Will You Miss Thi...
The Most Attractive Pune Call Girls Budhwar Peth 8250192130 Will You Miss Thi...
 
Call Girls Pimpri Chinchwad Call Me 7737669865 Budget Friendly No Advance Boo...
Call Girls Pimpri Chinchwad Call Me 7737669865 Budget Friendly No Advance Boo...Call Girls Pimpri Chinchwad Call Me 7737669865 Budget Friendly No Advance Boo...
Call Girls Pimpri Chinchwad Call Me 7737669865 Budget Friendly No Advance Boo...
 
VIP Call Girls Ankleshwar 7001035870 Whatsapp Number, 24/07 Booking
VIP Call Girls Ankleshwar 7001035870 Whatsapp Number, 24/07 BookingVIP Call Girls Ankleshwar 7001035870 Whatsapp Number, 24/07 Booking
VIP Call Girls Ankleshwar 7001035870 Whatsapp Number, 24/07 Booking
 
(INDIRA) Call Girl Aurangabad Call Now 8617697112 Aurangabad Escorts 24x7
(INDIRA) Call Girl Aurangabad Call Now 8617697112 Aurangabad Escorts 24x7(INDIRA) Call Girl Aurangabad Call Now 8617697112 Aurangabad Escorts 24x7
(INDIRA) Call Girl Aurangabad Call Now 8617697112 Aurangabad Escorts 24x7
 
Call Girls in Nagpur Suman Call 7001035870 Meet With Nagpur Escorts
Call Girls in Nagpur Suman Call 7001035870 Meet With Nagpur EscortsCall Girls in Nagpur Suman Call 7001035870 Meet With Nagpur Escorts
Call Girls in Nagpur Suman Call 7001035870 Meet With Nagpur Escorts
 
Roadmap to Membership of RICS - Pathways and Routes
Roadmap to Membership of RICS - Pathways and RoutesRoadmap to Membership of RICS - Pathways and Routes
Roadmap to Membership of RICS - Pathways and Routes
 
Extrusion Processes and Their Limitations
Extrusion Processes and Their LimitationsExtrusion Processes and Their Limitations
Extrusion Processes and Their Limitations
 
Call for Papers - African Journal of Biological Sciences, E-ISSN: 2663-2187, ...
Call for Papers - African Journal of Biological Sciences, E-ISSN: 2663-2187, ...Call for Papers - African Journal of Biological Sciences, E-ISSN: 2663-2187, ...
Call for Papers - African Journal of Biological Sciences, E-ISSN: 2663-2187, ...
 
UNIT-III FMM. DIMENSIONAL ANALYSIS
UNIT-III FMM.        DIMENSIONAL ANALYSISUNIT-III FMM.        DIMENSIONAL ANALYSIS
UNIT-III FMM. DIMENSIONAL ANALYSIS
 
Porous Ceramics seminar and technical writing
Porous Ceramics seminar and technical writingPorous Ceramics seminar and technical writing
Porous Ceramics seminar and technical writing
 
Introduction to Multiple Access Protocol.pptx
Introduction to Multiple Access Protocol.pptxIntroduction to Multiple Access Protocol.pptx
Introduction to Multiple Access Protocol.pptx
 
High Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur Escorts
High Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur EscortsHigh Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur Escorts
High Profile Call Girls Nagpur Meera Call 7001035870 Meet With Nagpur Escorts
 
Booking open Available Pune Call Girls Koregaon Park 6297143586 Call Hot Ind...
Booking open Available Pune Call Girls Koregaon Park  6297143586 Call Hot Ind...Booking open Available Pune Call Girls Koregaon Park  6297143586 Call Hot Ind...
Booking open Available Pune Call Girls Koregaon Park 6297143586 Call Hot Ind...
 
BSides Seattle 2024 - Stopping Ethan Hunt From Taking Your Data.pptx
BSides Seattle 2024 - Stopping Ethan Hunt From Taking Your Data.pptxBSides Seattle 2024 - Stopping Ethan Hunt From Taking Your Data.pptx
BSides Seattle 2024 - Stopping Ethan Hunt From Taking Your Data.pptx
 

Design of Rubble Mound Seawall

  • 1. Design of Rubble Mound Seawall Harbour Structure Analysis Project By : Shailesh Shukla M.Tech – D&H Under the Guidance of : Mrs. K. Muthuchelvi Thangam, Scientist B, IMU
  • 2. OBJECTIVE :  The main objective of constructing a seawall is to protect the structures or properties along the shore from being hit by the waves coming from the sea.  Depending upon the type of sea conditions different types of seawall are constructed.  It also acts as a barrier for soil erosion.
  • 3. INTRODUCTION :  Seawall is a protective structure, made of stone or concrete; extends from shore into the sea to prevent a beach or coastal boundary from washing away.  It is designed to prevent coastal erosion and other damages due to wave action and storm surge, such as flooding.  Seawalls are normally very massive structures because they are designed to resist the full force of waves and storm surge.  A structure separating land and water areas.
  • 4. PURPOSE OF SEA WALLS : protect areas of human habitation impede the exchange of sediment between land and sea. Figure: Seawall at Bandra in Mumbai
  • 5.  Coastal erosion is wearing of land and removal of beach or dune sediments by wave action, wave currents and tidal currents.  Erosion of the coast depends on many factors like  nature of the beach  beach material  the shape of the coast  tidal level changes  human interference  Coastal Structures :  Seawalls, revetments, anti-sea erosion bunds  System of groynes or jetties – shore connected  System of offshore breakwaters - away from the shore
  • 6. Types of sea walls :  A seawall is typically a sloping concrete structure; it can be smooth, stepped-faced or curved-faced.  A seawall can also be built as a rubble-mound structure, as a block seawall, steel or wooden structure. There are three types of sea walls-  Vertical sea walls  Curved sea walls  Mounted sea wall
  • 7. 1. Vertical sea walls:  The first implemented, most easily designed and constructed type of seawall.  Vertical sea walls deflect wave energy away from the coast.  Loose rubble can absorb wave energy
  • 8. 2. Curved sea walls:  Concave structure introduces a dissipative element.  The curve can prevent waves from overtopping the wall and provides extra protection for the toe of the wall.  Curved seawalls aim to re-direct most of the incident energy, resulting in low reflected waves and much reduced turbulence.
  • 9. 3. Mounted sea walls :  Current designs use porous designs of rock, concrete armour.  Slope and loose material ensure maximum dissipation of wave energy.  Lower cost option.
  • 10. Advantages of sea walls:  Long term solution in comparison to soft beach nourishment.  Effectively minimizes loss of life in extreme events and damage to property caused by erosion.  Can exist longer in high energy environments in comparison to ‘soft’ engineering methods.  Can be used for recreation and sightseeing.  Forms a hard and strong coastal defense.
  • 11. Disadvantages of sea walls:  Very expensive to construct.  Can cause beaches to dissipate rendering them useless for beach goers.  Scars the very landscape that they are trying to save and provides an ‘eyesore.’  Reflected energy of waves leading to scour at base.  Can disrupt natural shoreline processes and destroy shoreline habitats such as wetlands and intertidal beaches.  Altered sediment transport processes can disrupt sand movement that can lead to increased erosion down drift from the structure.
  • 12. DESIGN CONSIDERATIONS : The function of the seawall is to dissipate the wave energy and allow formation of beach in front of it. As such, the sloping rubble mound seawall is the most suitable type of seawall. Figure : Wave Action on curved seawall
  • 13. Rubble mound Seawall :  The rubble mound seawall is generally designed to consist of three layers i.e. core, secondary layer and an armour layer.  A minimum of two layers of stones (units) in the armour and secondary layer is always necessary.  While the thicknesses of these layers are determined by the size of stones used, the levels including that of the core are determined based on maximum water level, design wave height, wave run-up, permissible overtopping and method of construction.
  • 14. steps to design an adequate and efficient rubble mound seawall : Determine the water level range for the site. Determine the wave heights . Determine the beach profile after the storm condition / monsoon. Select the suitable location and configuration of the seawall . Select suitable armour to resist the design wave . Select size of the armour unit . Determine potential run-up to set the crest elevation. Determine amount of overtopping expected for low structures. Design under-drainage features if they are required.
  • 15. Provide for local surface runoff and overtopping runoff and make any required provisions for other drainage facilities such as culverts and ditches. Consider end condition to avoid failure due to flanking. Design toe protection . Design filter and under layers. Provide for firm compaction of all fill and back-fill materials. This requirement should be included on the plans and in the specifications. Also, due allowance for compaction must be made in the cost estimate .  Develop cost estimate for each alternative. Provision for regular maintenance and repairs of the structure.
  • 16. Position of the seawall : Determination of the beach profile and the water levels are important. The highest and the lowest water levels at the site must be known. The highest water level helps in deciding the exact crest level while the lowest water level guides the location of the toe. With steeper slopes, damage to armour stones is more as compared to flat bed slope. The seawall should be located in such a position that the maximum wave attack is taken by the armour slope and the toe. If located above the high water level contour, the waves will break in front of the seawall causing scouring and subsequent failure.
  • 17. Under estimation of maximum water level, incorrect information of beach slope considered, steeping of foreshore. Presence of a large number of smaller stones than design size are a few of them. large percentage of undersized armour. Stones having excessively rounded corners attribute to repetitive displacements and consequent attrition and abrasion. The displacement of the armours has resulted in the exposure of secondary layer, which is completely exposed to the fury of waves Under design of Armour : Figure 3: Under Design of Armour layer Leads to Failure of Seawall
  • 18. TOE PROTECTION :  Toe stability is essential because failure of the toe will generally lead to failure throughout the entire structure. Toe is generally governed by hydraulic criteria.  Factors that affect the severity of toe scour:  wave breaking (near the toe),wave run-up and backwash, wave reflection and grain size.  Toe protection must consider geo-technical as well as hydraulic factors.  The toe apron should be at least twice the incident wave height for sheet-pile walls and equal to the incident wave height for gravity walls. Figure 4: Seawall with toe protection
  • 19. provision of filters : In seawall there is removal of fill material by overtopped water, there is no proper filter between the sloping fill and the seawall. Failure of toe leads to dislodging of armour, makes seawall ineffective. Reformation of profile is to be done and it is necessary to provide a proper filter before reforming the section. This can be done by dumping additional stones or retrieving some of the displaced stones.
  • 20. Rounded Stones : In order to achieve efficient interlocking, the rock should be sound and the individual units should have sharp edges. Blunt or round edges result in poor interlocking and hence poor stability (lower stability factor KD) Rounded stones result in lower porosity and are less efficient in dissipation of wave energy. Figure 7: Rounded Stones in Armour Layer of a Seawall
  • 21. WEAK POCKETS : Several weak spots are often present in rubble mound structures, which may be attributable to reasons such as lack of supervision, quarry yielding smaller stones or deliberate attempts to dispose of undersized stones etc. Concentration of stones much smaller than the required armour should therefore be avoided at any cost Concentration of stones much smaller than the required armour should therefore be avoided at any cost
  • 22. Design Wave Estimation, Wave Height and Stability Considerations : Wave heights and periods should be chosen to produce the most critical combination of forces on a structure . Wave characteristics may be based on –  Analysis of wave gauge records  Visual observations of wave action  Published wave hind casts  Wave forecasts or the maximum breaking wave at the site Using refraction and diffraction techniques
  • 23.  When selecting the height of protection, one must consider-  the maximum water level  any anticipated structure settlement  freeboard  wave run-up and overtopping.  Elevation of the structure is perhaps the single most important controlling design factor and is also critical to the performance of the structure. Height of Protection :
  • 24. Wave Run-up : Run-up is the vertical height above the still-water level (SWL) to which the uprush from a wave will rise on a structure. It is not the distance measured along the inclined surface. Overtopping: Overtopping is generally preferable to design shore protection structures to be high enough to preclude overtopping. In some cases, however, prohibitive costs or other considerations may dictate lower structures than ideally needed. In those cases it may be necessary to estimate the volume of water per unit time that may overtop the structure.
  • 25. Overtopping : Figure 6: Overtopping of Waves Over Seawall
  • 26.  The usual steps needed to develop an adequate seawall design follow.  Determine the water level range for the site  Determine the wave heights  Significant wave height Hs = mean of 1/3 of the maximum waves  Depth of water = H  Design pile foundations using EM 1110-2-2906. 26 DESIGN PROCEDURE :
  • 27. Location = India / Kerala / Alappuzha / Kamalapuram Length of Seawall = 1550 m Latitude and Longitude = 9̊ 24’ 13.93” N 76̊ 20’33.66” E LENGTH AND LOCATION OF SEAWALL :
  • 28. The above site has been selected due to the erosion of land along the coast as compared in the pictures above. 2003 2013 Reason for Site Selection :
  • 31. Select a suitable armor unit type and size Weight of armour unit, Wa = 𝛒a H3 / KD∆3cotø where 𝛒a = unit wt. of armour unit H = significant wave height KD = stability coefficient ∆ = relative mass density ∆ = ( 𝛒a / 𝛒w ) – 1 𝛒w = density of sea water = 1.025 T/m3 31 DESIGN PROCEDURE :
  • 32. Crest width of armour layer B = n K∆(Wa / 𝛒a)1/3 where n = number of stones K∆ = layer coefficient Thickness of armour layer t = n K∆ (Wa / 𝛒a)1/3 where n = number of stones 32 DESIGN PROCEDURE :
  • 33. Under layer thickness is same as armour layer So Weight of under layer = Wa /10 to Wa /15 Where Wa = Wt. of armour unit Weight of core layer = Wa /100 to Wa /400 Width of toe berm = 2 x Hs Depth of toe berm = 0.4 x d Where Hs = design wave height d = depth of water 33 DESIGN PROCEDURE :
  • 34. Significant wave height = 1.524 + 1 = 2.524 m Depth of water = 2.524 m Time Period of Approaching waves = 7.468 sec Weight of armour unit, Wa = 𝛒a H3 / KD∆3cotø = 2.65 x (2.524) 3 / 2 x {(2.65/1.025) -1} 3 x 1.5 = 3.56 T
  • 35. Crest width of armour layer : B = n K∆(Wa / 𝛒a)1/3 where n = number of stones = 3 K∆ = layer coefficient B = n x 1 x (3.56/2.65) 1/3 = 3 x 1.1034 m = 3.31 m Thickness of armour layer : t = n K∆ (Wa / 𝛒a)1/3 where n = number of stones = 2 = 2 x 1 x (3.56/2.65) 1/3 = 2 x 1.1034 m = 2.2068 m
  • 36. Weight of under layer = Wa /10 to Wa /15 Where Wa = Wt. of armour unit = 3.56/10 to 3.56/15 = 0.356 T to 0.237T Weight of core layer = Wa /100 to Wa /400 = 3.56/100 to 3.56/400 = 0.0356 T to 0.0089 T Weight of toe berm = Wa /10 to Wa /15 Where Wa = Wt. of armour unit = 3.56/10 to 3.56/15 = 0.356 T to 0.237T Width of toe berm = 2 x Hs = 2x 1.524= 3.05 m Depth of toe berm = 0.4 x d = 0.4 x 3.224 = 1.29 m
  • 37. Structure height = Thickness of armour layer + Thickness of under layer +Depth of toe berm + Thickness of bedding layer = 2.2068 +2.2068 +1.2896 + 1 = 6.7m Weight of Structure = Weight of armour unit + Weight of under layer + Weight of core layer + Weight of toe berm = 3.56 + 0.356 + 0.0356 + 0.356 = 4.31T Length of Seawall = 1550m Weight of Structure = 4.31 x A *1550 = 1472.27T
  • 38.

Notes de l'éditeur

  1. GFJFTKFY