SlideShare a Scribd company logo
1 of 53
OPTIMISATION OF TUNNEL RECONSTRUCTION: CASE OF A
RAILWAY GAUGE CONVERSION
End of course thesis presented and defended by
RODNEY CHIABI NUH MIH
In partial fulfillment of the requirements for the award of a
MASTERS OF ENGINEERING IN CIVIL ENGINEERING
President : Pr. TAMO TATIETSE Thomas, Professeur titulaire des universités
Supervisor : Pr. LEZIN SEBA MINSILI, Maître de Conférences
Examiner : Pr. MANJIA MARCELINE, Maître de conférences UY1
Mémoire de fin d’études d’Ingénieur de
Conception de Génie Civil et Urbain
Before the Jury composed of:
10/10/2019 1
Présenté par RODNEY CHIABI NUH MIH 2
APPLICATION OF METHODOLOGY
METHODOLOGY
CONCLUSION AND PERSPECTIVES
PLAN DE L’EXPOSE
INTRODUCTION
CONTEXT AND PROBLEM STATEMENT
OPTIMISATION OF RETAINED SOLUTION
Présenté par RODNEY CHIABI NUH MIH 3
PLAN DE L’EXPOSE
INTRODUCTION
4
GENERALITIES ON RAILWAY SYSTEMS
INTRODUCTION
The Railway Transport System is a key factor for the socio-
economic development of a nation, permitting the
traversing of distances that a too long to drive and too
short to fly.
A railway system is mainly characterized by its
• gauge which is the spacing that exists between the inner
faces of two parallel rail heads.
• Mode of operation which is the number of simultaneous
railway track between two locations.
5
GENERALITIES ON RAILWAY SYSTEMS
INTRODUCTION
The Railway Gauge
The different gauges can broadly be divided into the following four
categories
 Broad Gauge: width 1676 mm to 1524 mm;
 Standard Gauge: width 1435 mm and 1451 mm;
 Metre Gauge: width 1067 mm, 1000 mm and 915 mm;
 Narrow Gauge: width 762 mm and 610 mm.
6
GENERALITIES ON RAILWAY SYSTEMS
INTRODUCTION
Mode of Operation of a Railway
Here we distinguish single track and dual track.
• A single-track railway is a railway where trains traveling in both
directions between two locations share the same track.
• A double-track railway consists of a pair of tracks for both directions,
between two locations.
7
GENERALITIES ON TUNNELING
INTRODUCTION
TUNNELING
At times tunnels may be necessary to allow the
railway line to overcome certain natural obstacles
along the railway axis such as mountains or water
bodies.
8
GENERALITIES ON TUNNELING
INTRODUCTION
TUNNEL DESIGN APPROACHES
TUNNEL
DESIGN
EMPIRICAL
DESIGN
APPROACH
NUMERICAL
DESIGN
APPROACH
ANALYTICAL
DESIGN
APPROACH
9
GENERALITIES ON TUNNELING
INTRODUCTION
TUNNEL EXCAVATION METHODS
TUNNEL
EXCAVATIO
N
TUNNEL BORING
MACHINE
MECHANISED
METHODS WITH
ROADHEADERS
DRILL AND BLAST For Hard rocks
For medium
Strength rocks
For Soft
Grounds
Présenté par RODNEY CHIABI NUH MIH
1
0
PLAN
CONTEXT AND PROBLEM STATEMENT
1
1
CONTEXT AND PROBLEM
OVERVIEW
THE CAMEROON RAILWAY NETWORK
The Cameroon Railway network is a single-track system, built on
the metric gauge (1000 mm) which is the fruit of Cameroon’s
colonial heritage.
With the increase in the passenger and freight traffic, there has
been a growing need to modernize and expand the existing railway
network to meet the growing demand.
It is this light that the Cameroon National Railway Master Plan
(CNRMP) was proposed; which contains recommendations on the
modernization of the existing railway network.
1
2
CONTEXT AND PROBLEM
CAMEROON NATIONAL RAILWAY MASTER PLAN
(CNRMP)
THE CAMEROON RAILWAY NETWORK
CNRMP
1. Conversion from
metric gauge to
standard gauge
2. Conversion from
Single Track to Dual
Track mode
1
3
CONTEXT AND PROBLEM
PROBLEM STATEMENT
THE CAMEROON RAILWAY NETWORK
In this context the following questions arise:
 How To Efficiently Execute Tunnel
Reconstruction Procedures
 Maintaining Train Circulation In The
Tunnel
 Minimizing Interruptions
 Reduced Cost and Construction Time
With a change from metric to standard gauge,
and from single track to dual track mode, all
tunnels on the railway network would need to
be enlarged to allow for the new type of rolling
stock.
Présenté par RODNEY CHIABI NUH MIH
1
4
METHODOLOGY
PLAN DE L’EXPOSE
15
METHODOLOGY
METHODOLO
GY
1. GENERAL SITE
SURVEY
2. OBSERVATION
3. TUNNEL DESIGN
PROPER
16
METHODOLOGY
DATA
COLLECTION
Geometric Data
Morphology of the existing tunnel
• diameter,
• height,
• length
• shape
Topographic Data
• Longitudinal profile
• plane profile
• cross-section profile of the railway.
Geologic Data
• Color,
• texture,
• General state of fracture of the rock mass.
• Ground water inflow into the tunnel
17
METHODOLOGY
METHOD ADOPTED FOR DESIGNING THE NEW
TUNNEL
EMPIRICAL
DESIGN
APPROACH
Based on :
 Uniaxial Compressive Strength (UCS), Point
Load Index and Schmidt Hardness
 Rock Quality Designation (RQD)
 Rock Mass Quality (Q)
 Rock Mass Rating (RMR)
18
METHODOLOGY
1. UNIAXIAL COMPRESSIVE STRENGTH (UCS), POINT LOAD INDEX AND
SCHMIDT HARDNESS
Field Estimates of Uniaxial
Compressive Strength are
determined from the table below:
19
METHODOLOGY
2. ROCK QUALITY DESIGNATION (RQD)
Rock quality designation (RQD) is a
rough measure of the degree of
jointing or fracture in a rock mass;
deduced from qualitative
observation of the rock mass.
20
METHODOLOGY
3. ROCK MASS QUALITY (Q)
The rock mass quality (Q) is a very sensitive index whose numerical value
of Q varies on a logarithmic scale from 0.001 to a maximum of 1000. On the
basis of the value, nine categories exist for the classification of rock
masses
21
METHODOLOGY
4. ROCK MASS RATING (RMR)
The Rock Mass Rating value is the sum of the values of the six parameters
as in the Equation below.
𝐑𝐌𝐑 = 𝐉𝐀𝟏 + 𝐉𝐀𝟐 + 𝐉𝐀𝟑 + 𝐉𝐀𝟒 + 𝐉𝐀𝟓 + 𝐉𝐁
22
METHODOLOGY
Determination
of Rock Mass
Rating (RMR)
23
METHODOLOGY
Determination
of Rock Mass
Rating (RMR)
24
METHODOLOGY
Determination
of Rock Mass
Rating (RMR)
25
METHODOLOGY
AVERAGE STAND-UP
TIME
The average stand-up time of the rock
mass was then deduced from the
graph below which gives the average
stand-up time of the rock mass
depending on the roof span and RMR
value.
26
METHODOLOGY
1. Shape
1. Excavation Method
2. Structure Gauge
2. Size
GEOMETRIC DESIGN OF NEW
TUNNEL
CROSS-SECTION
27
METHODOLOGY
1. Amount of Work to
be done
2. Construction
Cost
3. Construction
Duration
EVALUATION OF
QUANTITIES
EVALUATION
28
METHODOLOGY
OPTIMAL
SOLUTION
SELECTION OF SOLUTION
EVALUATION
MULTI-
CRITERIA
COMPARISON
Présenté par RODNEY CHIABI NUH MIH
2
9
APPLICATION TO CASE STUDY
PLAN DE L’EXPOSE
30
APPLICATION
CASE STUDY: SOUHE
TUNNEL
The SOUHE
tunnel found
along the Eseka
– Minloh
Maloume
segment of the
Transcam I
railway axis;
precisely
between PK 159
+ 375 to PK
161 + 395.
31
METHODOLOGY
CASE STUDY: SOUHE
TUNNEL
GEOLOGIC
CHARACTERISATION
32
APPLICATION
CASE STUDY: SOUHE
TUNNEL
POSSIBLE SOLUTIONS
1. Reconstruction And
Enlargement Of The Existing
Tunnel into dual track
2. Construction of an
adjacent Dual-Track
tunnel
3. Construction of an
adjacent Single-Track
tunnel
OPTIONS
33
APPLICATION
CASE STUDY: SOUHE
TUNNEL
OPTION 1: RECONSTRUCTION AND ENLARGEMENT OF THE SOUHE
TUNNEL
34
APPLICATION
CASE STUDY: SOUHE
TUNNEL
OPTION 2: CONSTRUCTION OF A NEW DUAL-TRACK TUNNEL
ADJACENT TO THE OLD TUNNEL
35
APPLICATION
CASE STUDY: SOUHE
TUNNEL
OPTION 2: CONSTRUCTION OF A NEW SINGLE-TRACK TUNNEL
ADJACENT TO THE OLD TUNNEL
36
APPLICATION
CASE STUDY: SOUHE
TUNNEL
EVALUATION OF OPTIONS
CONSTRUCTION COST
CONSTRUCTION
DURATION
37
APPLICATION
CASE STUDY: SOUHE
TUNNEL
MULTI-CRITERIA
COMPARISON
Comparison By:
 Construction Cost
 Construction Duration
 Future Benefits
 Technical Feasibility
38
APPLICATION
CASE STUDY: SOUHE
TUNNEL
OPTIMAL SOLUTION
OPTION 1
39
APPLICATION
CASE STUDY: SOUHE
TUNNEL
OPTIMISATION OF THE
TUNNELING PROCEDURE
40
APPLICATION
CASE STUDY: SOUHE
TUNNEL
OPTIMISATION OF THE
TUNNELING PROCEDURE
STAGE 1
41
APPLICATION
CASE STUDY: SOUHE
TUNNEL
OPTIMISATION OF THE
TUNNELING PROCEDURE
STAGE 2
42
APPLICATION
CASE STUDY: SOUHE
TUNNEL
OPTIMISATION OF THE
TUNNELING PROCEDURE
STAGE 3
43
APPLICATION
CASE STUDY: SOUHE
TUNNEL
OPTIMISATION OF THE
TUNNELING PROCEDURE
STAGE 3
44
APPLICATION
CASE STUDY: SOUHE
TUNNEL
OPTIMISATION OF THE
TUNNELING PROCEDURE
STAGE 4
45
APPLICATION
CASE STUDY: SOUHE
TUNNEL
OPTIMISATION OF THE
TUNNELING PROCEDURE
STAGE 5
46
APPLICATION
CASE STUDY: SOUHE
TUNNEL
OPTIMISATION OF THE
TUNNELING PROCEDURE
STAGE 6
47
APPLICATION
CASE STUDY: SOUHE
TUNNEL
OPTIMISATION OF THE
TUNNELING PROCEDURE
STAGE 7
48
APPLICATION
CASE STUDY: SOUHE
TUNNEL
OPTIMISATION OF THE
TUNNELING PROCEDURE
PROJECT DELIVERY
49
APPLICATION
CASE STUDY: SOUHE
TUNNEL
ANALYSIS
New Austrian Tunnelling
Method (NATM):
 25,85 % savings in volume
of concrete required in the
support system.
10,28% reduction in
construction time
Présenté par RODNEY CHIABI NUH MIH
5
0
CONCLUSION AND PERSPECTIVES
PLAN DE L’EXPOSE
51
CONCLUSION & PERSPECTIVES
CONCLUSION
This study demonstrated that the optimization of tunnel
enlargement, was practical, technically feasible and
economically viable solution for tunnel reconstruction.
52
CONCLUSION & PERSPECTIVES
PERSPECTIVES
The in-depth analysis of a solution for a cost effective and
durable slab-track system,
that would be suitable for the railway tunnels in Cameroon.
The adaptation of the solution presented in this work to the
various tunnels on the
Cameroon railway network.
The numerical simulation of the proposed solution with
geotechnical data from a real
project to test actual performance of the system.
The actual implementation of this method on an actual
tunneling project.
Présenté par RODNEY CHIABI NUH MIH 53
Généralité : protections des
bétons
CONCLUSION

More Related Content

Similar to MEMOIR-Optimization of Tunnel reconstruction.pptx

Design of flyover elements
Design of flyover elementsDesign of flyover elements
Design of flyover elementssubbu lakshmi
 
Analysis of stability of rock column between cut & cover Metro Station and NA...
Analysis of stability of rock column between cut & cover Metro Station and NA...Analysis of stability of rock column between cut & cover Metro Station and NA...
Analysis of stability of rock column between cut & cover Metro Station and NA...IRJET Journal
 
Mihalis presentation final 10092011
Mihalis presentation final 10092011Mihalis presentation final 10092011
Mihalis presentation final 10092011ILIAS MICHALIS
 
TUNNELING IN HIMALAYAS WITH NATM METHOD: A SPECIAL REFERENCES TO SUNGAL TUNNE...
TUNNELING IN HIMALAYAS WITH NATM METHOD: A SPECIAL REFERENCES TO SUNGAL TUNNE...TUNNELING IN HIMALAYAS WITH NATM METHOD: A SPECIAL REFERENCES TO SUNGAL TUNNE...
TUNNELING IN HIMALAYAS WITH NATM METHOD: A SPECIAL REFERENCES TO SUNGAL TUNNE...IRJET Journal
 
Paper Bridge - Design, FEA & Construction
Paper Bridge - Design, FEA & ConstructionPaper Bridge - Design, FEA & Construction
Paper Bridge - Design, FEA & ConstructionDibyajyoti Laha
 
Hybrid epb tunnelling in rio de janeiro 2015
Hybrid epb tunnelling in rio de janeiro 2015Hybrid epb tunnelling in rio de janeiro 2015
Hybrid epb tunnelling in rio de janeiro 2015Abner Silva
 
IRJET- Comparative Study of Effect of Varying Span Length on Major Elemen...
IRJET-  	  Comparative Study of Effect of Varying Span Length on Major Elemen...IRJET-  	  Comparative Study of Effect of Varying Span Length on Major Elemen...
IRJET- Comparative Study of Effect of Varying Span Length on Major Elemen...IRJET Journal
 
33 kV towerline roadcrossing design modification - Final (English)
33 kV towerline roadcrossing design modification - Final (English)33 kV towerline roadcrossing design modification - Final (English)
33 kV towerline roadcrossing design modification - Final (English)Pablo Miguel Jurado
 
ENG1002 Design project - Client Brief Version 2.0 1 © .docx
ENG1002 Design project - Client Brief Version 2.0 1 © .docxENG1002 Design project - Client Brief Version 2.0 1 © .docx
ENG1002 Design project - Client Brief Version 2.0 1 © .docxYASHU40
 
060626_Temple_Mills_Bridge_Reconstruction_Javad_Akhtar
060626_Temple_Mills_Bridge_Reconstruction_Javad_Akhtar060626_Temple_Mills_Bridge_Reconstruction_Javad_Akhtar
060626_Temple_Mills_Bridge_Reconstruction_Javad_AkhtarJavad Akhtar
 
Mumbai traffic scenario & mumbai metro
Mumbai traffic scenario & mumbai metroMumbai traffic scenario & mumbai metro
Mumbai traffic scenario & mumbai metrosatish choudhari
 
CB_SeptOct_2015_bridges
CB_SeptOct_2015_bridgesCB_SeptOct_2015_bridges
CB_SeptOct_2015_bridgesRebecca Abel
 
Seikan tunnel - The Longest Underwater Rail Tunnel
Seikan tunnel - The Longest Underwater Rail TunnelSeikan tunnel - The Longest Underwater Rail Tunnel
Seikan tunnel - The Longest Underwater Rail TunnelJuhi Aggarwal
 
Rethinking the Jonio Metro station as a Transport Hub
Rethinking the Jonio Metro station as a Transport HubRethinking the Jonio Metro station as a Transport Hub
Rethinking the Jonio Metro station as a Transport HubOleg Buyanov
 
Transportation engineering 2
Transportation engineering   2Transportation engineering   2
Transportation engineering 2R VIJAYAKUMAR
 
Underground Coal Mining Study
Underground Coal Mining StudyUnderground Coal Mining Study
Underground Coal Mining StudyOnur Tuncay
 
project-1.pptx
project-1.pptxproject-1.pptx
project-1.pptxSpidra1
 

Similar to MEMOIR-Optimization of Tunnel reconstruction.pptx (20)

Design of flyover elements
Design of flyover elementsDesign of flyover elements
Design of flyover elements
 
Under ground railway
Under ground railwayUnder ground railway
Under ground railway
 
Analysis of stability of rock column between cut & cover Metro Station and NA...
Analysis of stability of rock column between cut & cover Metro Station and NA...Analysis of stability of rock column between cut & cover Metro Station and NA...
Analysis of stability of rock column between cut & cover Metro Station and NA...
 
Mihalis presentation final 10092011
Mihalis presentation final 10092011Mihalis presentation final 10092011
Mihalis presentation final 10092011
 
TUNNELING IN HIMALAYAS WITH NATM METHOD: A SPECIAL REFERENCES TO SUNGAL TUNNE...
TUNNELING IN HIMALAYAS WITH NATM METHOD: A SPECIAL REFERENCES TO SUNGAL TUNNE...TUNNELING IN HIMALAYAS WITH NATM METHOD: A SPECIAL REFERENCES TO SUNGAL TUNNE...
TUNNELING IN HIMALAYAS WITH NATM METHOD: A SPECIAL REFERENCES TO SUNGAL TUNNE...
 
Paper Bridge - Design, FEA & Construction
Paper Bridge - Design, FEA & ConstructionPaper Bridge - Design, FEA & Construction
Paper Bridge - Design, FEA & Construction
 
Hybrid epb tunnelling in rio de janeiro 2015
Hybrid epb tunnelling in rio de janeiro 2015Hybrid epb tunnelling in rio de janeiro 2015
Hybrid epb tunnelling in rio de janeiro 2015
 
IRJET- Comparative Study of Effect of Varying Span Length on Major Elemen...
IRJET-  	  Comparative Study of Effect of Varying Span Length on Major Elemen...IRJET-  	  Comparative Study of Effect of Varying Span Length on Major Elemen...
IRJET- Comparative Study of Effect of Varying Span Length on Major Elemen...
 
33 kV towerline roadcrossing design modification - Final (English)
33 kV towerline roadcrossing design modification - Final (English)33 kV towerline roadcrossing design modification - Final (English)
33 kV towerline roadcrossing design modification - Final (English)
 
ENG1002 Design project - Client Brief Version 2.0 1 © .docx
ENG1002 Design project - Client Brief Version 2.0 1 © .docxENG1002 Design project - Client Brief Version 2.0 1 © .docx
ENG1002 Design project - Client Brief Version 2.0 1 © .docx
 
060626_Temple_Mills_Bridge_Reconstruction_Javad_Akhtar
060626_Temple_Mills_Bridge_Reconstruction_Javad_Akhtar060626_Temple_Mills_Bridge_Reconstruction_Javad_Akhtar
060626_Temple_Mills_Bridge_Reconstruction_Javad_Akhtar
 
Mumbai traffic scenario & mumbai metro
Mumbai traffic scenario & mumbai metroMumbai traffic scenario & mumbai metro
Mumbai traffic scenario & mumbai metro
 
Metro Work
Metro WorkMetro Work
Metro Work
 
CB_SeptOct_2015_bridges
CB_SeptOct_2015_bridgesCB_SeptOct_2015_bridges
CB_SeptOct_2015_bridges
 
Seikan tunnel - The Longest Underwater Rail Tunnel
Seikan tunnel - The Longest Underwater Rail TunnelSeikan tunnel - The Longest Underwater Rail Tunnel
Seikan tunnel - The Longest Underwater Rail Tunnel
 
Rethinking the Jonio Metro station as a Transport Hub
Rethinking the Jonio Metro station as a Transport HubRethinking the Jonio Metro station as a Transport Hub
Rethinking the Jonio Metro station as a Transport Hub
 
Transportation engineering 2
Transportation engineering   2Transportation engineering   2
Transportation engineering 2
 
Tunnels, types & importance
Tunnels, types &  importanceTunnels, types &  importance
Tunnels, types & importance
 
Underground Coal Mining Study
Underground Coal Mining StudyUnderground Coal Mining Study
Underground Coal Mining Study
 
project-1.pptx
project-1.pptxproject-1.pptx
project-1.pptx
 

Recently uploaded

A Study of Urban Area Plan for Pabna Municipality
A Study of Urban Area Plan for Pabna MunicipalityA Study of Urban Area Plan for Pabna Municipality
A Study of Urban Area Plan for Pabna MunicipalityMorshed Ahmed Rahath
 
Online food ordering system project report.pdf
Online food ordering system project report.pdfOnline food ordering system project report.pdf
Online food ordering system project report.pdfKamal Acharya
 
Computer Graphics Introduction To Curves
Computer Graphics Introduction To CurvesComputer Graphics Introduction To Curves
Computer Graphics Introduction To CurvesChandrakantDivate1
 
DeepFakes presentation : brief idea of DeepFakes
DeepFakes presentation : brief idea of DeepFakesDeepFakes presentation : brief idea of DeepFakes
DeepFakes presentation : brief idea of DeepFakesMayuraD1
 
Jaipur ❤CALL GIRL 0000000000❤CALL GIRLS IN Jaipur ESCORT SERVICE❤CALL GIRL IN...
Jaipur ❤CALL GIRL 0000000000❤CALL GIRLS IN Jaipur ESCORT SERVICE❤CALL GIRL IN...Jaipur ❤CALL GIRL 0000000000❤CALL GIRLS IN Jaipur ESCORT SERVICE❤CALL GIRL IN...
Jaipur ❤CALL GIRL 0000000000❤CALL GIRLS IN Jaipur ESCORT SERVICE❤CALL GIRL IN...jabtakhaidam7
 
S1S2 B.Arch MGU - HOA1&2 Module 3 -Temple Architecture of Kerala.pptx
S1S2 B.Arch MGU - HOA1&2 Module 3 -Temple Architecture of Kerala.pptxS1S2 B.Arch MGU - HOA1&2 Module 3 -Temple Architecture of Kerala.pptx
S1S2 B.Arch MGU - HOA1&2 Module 3 -Temple Architecture of Kerala.pptxSCMS School of Architecture
 
Unit 4_Part 1 CSE2001 Exception Handling and Function Template and Class Temp...
Unit 4_Part 1 CSE2001 Exception Handling and Function Template and Class Temp...Unit 4_Part 1 CSE2001 Exception Handling and Function Template and Class Temp...
Unit 4_Part 1 CSE2001 Exception Handling and Function Template and Class Temp...drmkjayanthikannan
 
Computer Networks Basics of Network Devices
Computer Networks  Basics of Network DevicesComputer Networks  Basics of Network Devices
Computer Networks Basics of Network DevicesChandrakantDivate1
 
School management system project Report.pdf
School management system project Report.pdfSchool management system project Report.pdf
School management system project Report.pdfKamal Acharya
 
HOA1&2 - Module 3 - PREHISTORCI ARCHITECTURE OF KERALA.pptx
HOA1&2 - Module 3 - PREHISTORCI ARCHITECTURE OF KERALA.pptxHOA1&2 - Module 3 - PREHISTORCI ARCHITECTURE OF KERALA.pptx
HOA1&2 - Module 3 - PREHISTORCI ARCHITECTURE OF KERALA.pptxSCMS School of Architecture
 
Thermal Engineering Unit - I & II . ppt
Thermal Engineering  Unit - I & II . pptThermal Engineering  Unit - I & II . ppt
Thermal Engineering Unit - I & II . pptDineshKumar4165
 
Employee leave management system project.
Employee leave management system project.Employee leave management system project.
Employee leave management system project.Kamal Acharya
 
Bhubaneswar🌹Call Girls Bhubaneswar ❤Komal 9777949614 💟 Full Trusted CALL GIRL...
Bhubaneswar🌹Call Girls Bhubaneswar ❤Komal 9777949614 💟 Full Trusted CALL GIRL...Bhubaneswar🌹Call Girls Bhubaneswar ❤Komal 9777949614 💟 Full Trusted CALL GIRL...
Bhubaneswar🌹Call Girls Bhubaneswar ❤Komal 9777949614 💟 Full Trusted CALL GIRL...Call Girls Mumbai
 
1_Introduction + EAM Vocabulary + how to navigate in EAM.pdf
1_Introduction + EAM Vocabulary + how to navigate in EAM.pdf1_Introduction + EAM Vocabulary + how to navigate in EAM.pdf
1_Introduction + EAM Vocabulary + how to navigate in EAM.pdfAldoGarca30
 
UNIT 4 PTRP final Convergence in probability.pptx
UNIT 4 PTRP final Convergence in probability.pptxUNIT 4 PTRP final Convergence in probability.pptx
UNIT 4 PTRP final Convergence in probability.pptxkalpana413121
 
Tamil Call Girls Bhayandar WhatsApp +91-9930687706, Best Service
Tamil Call Girls Bhayandar WhatsApp +91-9930687706, Best ServiceTamil Call Girls Bhayandar WhatsApp +91-9930687706, Best Service
Tamil Call Girls Bhayandar WhatsApp +91-9930687706, Best Servicemeghakumariji156
 
Standard vs Custom Battery Packs - Decoding the Power Play
Standard vs Custom Battery Packs - Decoding the Power PlayStandard vs Custom Battery Packs - Decoding the Power Play
Standard vs Custom Battery Packs - Decoding the Power PlayEpec Engineered Technologies
 
457503602-5-Gas-Well-Testing-and-Analysis-pptx.pptx
457503602-5-Gas-Well-Testing-and-Analysis-pptx.pptx457503602-5-Gas-Well-Testing-and-Analysis-pptx.pptx
457503602-5-Gas-Well-Testing-and-Analysis-pptx.pptxrouholahahmadi9876
 

Recently uploaded (20)

A Study of Urban Area Plan for Pabna Municipality
A Study of Urban Area Plan for Pabna MunicipalityA Study of Urban Area Plan for Pabna Municipality
A Study of Urban Area Plan for Pabna Municipality
 
Online food ordering system project report.pdf
Online food ordering system project report.pdfOnline food ordering system project report.pdf
Online food ordering system project report.pdf
 
Computer Graphics Introduction To Curves
Computer Graphics Introduction To CurvesComputer Graphics Introduction To Curves
Computer Graphics Introduction To Curves
 
DeepFakes presentation : brief idea of DeepFakes
DeepFakes presentation : brief idea of DeepFakesDeepFakes presentation : brief idea of DeepFakes
DeepFakes presentation : brief idea of DeepFakes
 
Jaipur ❤CALL GIRL 0000000000❤CALL GIRLS IN Jaipur ESCORT SERVICE❤CALL GIRL IN...
Jaipur ❤CALL GIRL 0000000000❤CALL GIRLS IN Jaipur ESCORT SERVICE❤CALL GIRL IN...Jaipur ❤CALL GIRL 0000000000❤CALL GIRLS IN Jaipur ESCORT SERVICE❤CALL GIRL IN...
Jaipur ❤CALL GIRL 0000000000❤CALL GIRLS IN Jaipur ESCORT SERVICE❤CALL GIRL IN...
 
S1S2 B.Arch MGU - HOA1&2 Module 3 -Temple Architecture of Kerala.pptx
S1S2 B.Arch MGU - HOA1&2 Module 3 -Temple Architecture of Kerala.pptxS1S2 B.Arch MGU - HOA1&2 Module 3 -Temple Architecture of Kerala.pptx
S1S2 B.Arch MGU - HOA1&2 Module 3 -Temple Architecture of Kerala.pptx
 
Unit 4_Part 1 CSE2001 Exception Handling and Function Template and Class Temp...
Unit 4_Part 1 CSE2001 Exception Handling and Function Template and Class Temp...Unit 4_Part 1 CSE2001 Exception Handling and Function Template and Class Temp...
Unit 4_Part 1 CSE2001 Exception Handling and Function Template and Class Temp...
 
Computer Networks Basics of Network Devices
Computer Networks  Basics of Network DevicesComputer Networks  Basics of Network Devices
Computer Networks Basics of Network Devices
 
Integrated Test Rig For HTFE-25 - Neometrix
Integrated Test Rig For HTFE-25 - NeometrixIntegrated Test Rig For HTFE-25 - Neometrix
Integrated Test Rig For HTFE-25 - Neometrix
 
School management system project Report.pdf
School management system project Report.pdfSchool management system project Report.pdf
School management system project Report.pdf
 
HOA1&2 - Module 3 - PREHISTORCI ARCHITECTURE OF KERALA.pptx
HOA1&2 - Module 3 - PREHISTORCI ARCHITECTURE OF KERALA.pptxHOA1&2 - Module 3 - PREHISTORCI ARCHITECTURE OF KERALA.pptx
HOA1&2 - Module 3 - PREHISTORCI ARCHITECTURE OF KERALA.pptx
 
Thermal Engineering Unit - I & II . ppt
Thermal Engineering  Unit - I & II . pptThermal Engineering  Unit - I & II . ppt
Thermal Engineering Unit - I & II . ppt
 
Employee leave management system project.
Employee leave management system project.Employee leave management system project.
Employee leave management system project.
 
Bhubaneswar🌹Call Girls Bhubaneswar ❤Komal 9777949614 💟 Full Trusted CALL GIRL...
Bhubaneswar🌹Call Girls Bhubaneswar ❤Komal 9777949614 💟 Full Trusted CALL GIRL...Bhubaneswar🌹Call Girls Bhubaneswar ❤Komal 9777949614 💟 Full Trusted CALL GIRL...
Bhubaneswar🌹Call Girls Bhubaneswar ❤Komal 9777949614 💟 Full Trusted CALL GIRL...
 
1_Introduction + EAM Vocabulary + how to navigate in EAM.pdf
1_Introduction + EAM Vocabulary + how to navigate in EAM.pdf1_Introduction + EAM Vocabulary + how to navigate in EAM.pdf
1_Introduction + EAM Vocabulary + how to navigate in EAM.pdf
 
UNIT 4 PTRP final Convergence in probability.pptx
UNIT 4 PTRP final Convergence in probability.pptxUNIT 4 PTRP final Convergence in probability.pptx
UNIT 4 PTRP final Convergence in probability.pptx
 
FEA Based Level 3 Assessment of Deformed Tanks with Fluid Induced Loads
FEA Based Level 3 Assessment of Deformed Tanks with Fluid Induced LoadsFEA Based Level 3 Assessment of Deformed Tanks with Fluid Induced Loads
FEA Based Level 3 Assessment of Deformed Tanks with Fluid Induced Loads
 
Tamil Call Girls Bhayandar WhatsApp +91-9930687706, Best Service
Tamil Call Girls Bhayandar WhatsApp +91-9930687706, Best ServiceTamil Call Girls Bhayandar WhatsApp +91-9930687706, Best Service
Tamil Call Girls Bhayandar WhatsApp +91-9930687706, Best Service
 
Standard vs Custom Battery Packs - Decoding the Power Play
Standard vs Custom Battery Packs - Decoding the Power PlayStandard vs Custom Battery Packs - Decoding the Power Play
Standard vs Custom Battery Packs - Decoding the Power Play
 
457503602-5-Gas-Well-Testing-and-Analysis-pptx.pptx
457503602-5-Gas-Well-Testing-and-Analysis-pptx.pptx457503602-5-Gas-Well-Testing-and-Analysis-pptx.pptx
457503602-5-Gas-Well-Testing-and-Analysis-pptx.pptx
 

MEMOIR-Optimization of Tunnel reconstruction.pptx