CAPWAP rules Important!

Size: px
Start display at page:

Download "CAPWAP rules Important!"

Transcription

1 CAPWAP rules Important! Unit friction < 4 ksf (200 kpa ) for most soils QT (+TG) < Dmax, toe to assure activation QS < 0.2 inch (5 mm ) usually 0.1 inch; 2.5 mm SS, ST < 0.4 s/ft (1.3 s/m ) if higher, use SK model CS, CT 0.3 to 1.0 CS < 3.0 if SK used Match set / blow (has penalty if set difference > 1 mm) use SK (radiation damping) for low set / blow, drilled piles do NOT use SK in high set / blow (< 3 BPI; > 8 mm / blow) low SK values may overpredict capacity

2 Record Selection - Quality 1. Use record of good quality Good proportionality No electronic or mechanical noise Integrates out to final set and zero velocity Force returns to zero Short rise time

3 Record Selection Energy Level a) For high resistance situation (set less than 3 mm/blow), find high energy/high force record b) For low resistance (set more than 10 mm/blow), find low energy/low force record c) Consider loss of setup or relaxation for restrike blow selection (more later on this)

4 Data Adjustment 1. Acceleration zero line shift for correct final velocity and displacement (a small fraction of the maximum acceleration amplitude) 2. Calibration adjustment corrects for unknown pile properties, changing sensor constants, extreme cold temperatures (PR accelerometers)

5 Build Pile Model 1. Use 1 m pile segments or less 2. For records with very high frequency content or Rapid Impedance changes, use shorter pile segments - no point using less than.25 m segment length ( t =.05 to.06 ms) 3. Use 1m soil segments where shallow penetrations would yield less than 4 soil segments or when very good resolution is needed and warranted. 4. Use 2 m soil segments in most cases

6 Special Considerations: Pile Model for special cases 1. Uniform piles with Splices/Compression Slacks (show up within first 2L/c) Try matching with slack input If no success, use reduced impedances 2. Uniform piles with Tension Cracks (show up at and after 2L/c) Use tension slacks with low efficiencies (either force or deformation limited) Use Variable Time Increment (2014 version)

7 Pile Model for special cases - continued 3. For unknown Pile Shape (drilled shafts): Model uniform shaft Perform initial analysis Correct for reasonable resistance distribution Adjust impedances Later convert to area change in Pile Model (PM)

8 Pile Model for special cases - continued 3. For unknown Pile Shape (drilled shafts): Model uniform shaft Perform initial analysis Correct for reasonable resistance distribution Adjust impedances Later convert to area change in Pile Model (PM) 4. For unknown Wave Speed: Assume a wave speed, Attempt matching, adjust E of pile (correct force) Use overall wave speed change (no change of E) for piles with slight cracking

9 Toe quake sensitivity

10 Q t : (inch)

11 Shaft damping sensitivity

12 Js: (s/ft)

13 Typical CAPWAP Procedure the easy part 1. Data input: select the proper record 1. Data adjustment (normally automatic) 2. Build pile model (normally automatic) 3. Interactively improve the soil model 1. Improve resistance distribution (AF) 1. Check quake (particularly toe effect) (AQ) 2. Check damping effects (AQ) 3. Check unloading effects (AQ) 2. Vary total capacity (RD or ARD) 3. Vary balance of shaft/toe resistance (also AT) 4. Repeat and find absolutely best match quality 2. Produce output

14 Summary of CAPWAP s Automatic Features AC AF AT AQ AQ AQ-Std Automatic CAPWAP (after user initialization) Calculate shaft resistance parameters Calculate a set of toe parameters Select and change multiple CW variables for BM Change current CW variable for BM Change CW standard variables* for BM ARD ARDQ Static/dynamic resistance exchange with user interaction Quick Static/dynamic resistance exchange AR ST Automatic balance of shaft/toe resistance (2014) *CAPWAP Standard variables: SS, ST, QS, QT, TG, UN, CS, CT

15 Find best MQ Adjust individual segment resistances to improve match automatic feature may smoothen distribution too much 1. Investigate shifting resistance between shaft to toe with appropriate quake and damping adjustments (AR ST) 2. Use ARD (or ARDQ) to vary capacity and check R U 3. Use AQ (Automatic Quantity improvement) on individual quantities or groups of CAPWAP variables 4. Do not spend excessive effort on late record portion unless it does affect the capacity/distribution results

16 Absolutely best MQ? Automatic searches may not be realistic, when The match has been achieved with an unreasonable set of parameters an engineer s review is required Data characteristics are unusual e.g. data quality an engineer s responsibility to check Pile model adjustments are required - e.g. slacks and/or Impedance variations engineer s decision Soil conditions modeling with radiation damping, residual stress analysis, shaft mass or plug effects, etc. - engineer s decision

17 Unusual Circumstances 1. Unusually High Damping Needed a) Maybe OK for low velocities (drilled shaft testing) b) May point to need for Radiation Damping Model

18 About Radiation Damping 1. Radiation Damping reasonable when a) Blow count very high (low set per blow) b) Open ended pipes/h-piles (plug effect) c) Match improves significantly with reasonable Smith damping factors 2. Radiation Damping unreasonable for a) Very cohesive or plastic soils b) Low blow counts P i l e S e g m e n t MS SK

19 Unusual Circumstances 1. Unusually High Damping Needed a) Maybe OK for low velocities (drilled shaft testing) b) May point to need for Radiation Damping Model 2. Wave return stretched out unlike impact signal a) Likely due to tension cracks needs tension slacks, reduced overall wave speed or variable time increment (CW 2014) 3. Splices with Compressive Slacks (e.g. follower on concrete pile) a) Use compressive slack and impedance reduction 4. Unusual Resistance Distribution a) Maybe needs Residual Stress Analysis b) Data Quality?

20 Final considerations You tried everything Resistance distribution reasonable Agreement with other methods reasonable Match Quality less than 5 If all above, quit and do output

21 CAPWAP Static Analysis Options Smoothing User Capacity Uplift Test Extrapolation Displacement (in) Load(kips) PileTop Bottom PileTop* Bottom* Ru =1105.4kips Rs = 780.0kips Rb = 325.4kips Dy = 0.79in Dx = 1.41in *Extrap Note: CAPWAP performs a t-z/q-z analysis with an elasto-plastic soil model.

22 CAPWAP Limitations Incomplete Resistance Activation small set per blow < 1/10 inch; 2.5 mm What to do? Bigger hammer; higher energy hammer Caution Watch stresses! No point exceeding 6 to 8 mm set per blow ( 1/4 to 1/3 inch per blow )

23 Underprediction Temporary Loss of Capacity during driving Increased pore water pressure? Arching? Other? What to do? 1. Restrike after sufficiently long wait 2. Use early, high energy blow! 3. Use Radiation Damping model ( if low set/blow, if drilled shaft) 4. Use superposition of EOD and BOR (only if BOR set per blow small < 2 mm)

24 Underprediction Loss of Setup Increasing Energy Analyze several blows Superposition resistance envelope ( only if refusal blow count ) 610 mm PSC, Pier A Load (kn) Top Toe Displacement (mm)

25 Does CAPWAP have a Unique Solution?

26 Many ways to apply load in a static test Also, Maintained, Quick, CRP loading

27 Static Load Test does not give a unique result! All get similar answers Get many different answers from different interpretations of failure

28 Failure criteria no unique answer Load (tons) 250 Chin 1.30 Brinch-Hansen 80% 1.17 Mazurkiewicz 1.15 Van Der Veen 1.13 Fuller and Hoy 1.12 De Beer 1.03 Butler and Hoy 1.02 Davisson 1.00 D/ D/30 + elastic D/ After Fellenius, Guidelines for the Movement Interpretation (inch) of static loading tests

29 Tangent Butler-Hoy Corps of Engr. Brinch Hansen 90% Fuller-Hoy Mazurkiewicz Housel DeBeer Shen-Nu Static Load Test Evaluations Range 0.73 (DeBeer) to 1.42 (Chin) COV 18.4% Chin-Kondner Brinch Hansen 80% Davisson Not Unique! Q/Qavg Duzceer & Saglamar, Evaluation of Pile Load Test Results DFI Conference - Nice France, 2002

30 To obtain good correlation of PDA with static testing must activate all resistance in dynamic test (minimum 2 to 3 mm set per blow) allow strength changes to occur (restrike test) (set-up increase on shaft, relaxation at toe) consider 3 dates: install, static and dynamic tests must have high quality static test (good measurements, test to failure) if either test not to failure, gives lower bound solution only

31 24-inch PSC+H Silty and Calcareous Sand

32 CAPWAP (CW) versus Static Load Test (SLT) 25.0% 20.0% Distribution of CW / SLT Ratios (96&SW: N=226) CW versus SLT combined (N=303) (80, 96, SW) Frequency 15.0% 10.0% 40,000 Unconservative (potentially unsafe) 5.0% 0.0% under over ,000 Ratio CW [kn] 20, % 20.0% Distribution of CW / SLTmax Ratios (96&SW: N=179) 10,000 0 Frequency Conservative (residual strength) 0 10,000 20,000 30,000 40, % 10.0% 5.0% 0.0% under Ratio over 130 SLT [kn]

33 Question 1: is CAPWAP result unique? Question 2: is any variation significant? Answer: results of experienced testers have little variation Discuss in more detail

34 Pipe in Silt H-pile in Sand COV 5% COV 6% Long pipe, very sensitive clay Pipe, weak crushing sandstone COV 13% COV 14% Variation of CAPWAP Results as a Function of the Operator by Fellenius, Third Int l Conf. on Application of Stress-wave Theory to Piles, 1988

35 CAPWAP - Results SLT +20% -20% CAPWAP Case Method CAPWAP

36 CAPWAP - Results SLT +20% -20% Unique solution? Case Yes - if you CAPWAP pursue to get the absolute minimum Method CAPWAP error in Match Quality But does it really matter? No since solutions are generally all similar (within reasonable tolerance) and different blows may give slightly different answers Static test interpretation also is not unique!

37 CAPWAP might be more unique than Static Load Test interpretation! All get similar answers Get many different answers from different interpretations of failure

38 Dynamic Load Test result (CAPWAP) is generally conservative CAPWAP on average less than Davisson Davisson generally rather conservative Continued set-up on most piles after the DLT Group effects densification during production Most piles driven harder than criteria DLT often used with slightly higher S.F. Better site coverage by more DLT Possibly less risk with DLT than with SLT

39 CAPWAP Is a signal matching software Is absolutely essential for evaluation Is state-of-the-practice ( gold standard ) Interactive with user guided auto searches Is the ultimate answer for DLT capacity Guides selection of JC for Case Method Evaluates stresses vs. depth Models non-uniform piles, et.al.

40 Parting Comments and Advice. Many codes require signal matching (e.g. AASHTO) CAPWAP is only signal matching software that has been compared with an extensive correlation database Failure to use CAPWAP is contrary to state-of-practice Do whatever it takes to become proficient and thereby obtain the best possible results and reduce legal exposure Seek second opinions for difficult cases

41 Thanks for your attention HAPPY CAPWAP-ING

Additional Pile Design Considerations

Additional Pile Design Considerations Additional Pile Design Considerations PDCA 2015 Professor Driven Pile Institute Patrick Hannigan GRL Engineers, Inc. What Are Additional Pile Design Considerations? Time Dependent Soil Strength Changes

More information

This document downloaded from vulcanhammer.net vulcanhammer.info Chet Aero Marine

This document downloaded from vulcanhammer.net vulcanhammer.info Chet Aero Marine This document downloaded from vulcanhammer.net vulcanhammer.info Chet Aero Marine Don t forget to visit our companion site http://www.vulcanhammer.org Use subject to the terms and conditions of the respective

More information

CAPWAP Introduction. 2016, Pile Dynamics, Inc. CAPWAP is a registered trademark of Pile Dynamics, Inc. Load (kn) Displacement (mm) Pile Top Bottom

CAPWAP Introduction. 2016, Pile Dynamics, Inc. CAPWAP is a registered trademark of Pile Dynamics, Inc. Load (kn) Displacement (mm) Pile Top Bottom CAPWAP Introduction Load (kn) 0.0 1000.0 2000.0 3000.0 4000.0 0.00 Pile Top Bottom Displacement (mm) 5.00 10.00 Ru = Rs = Rb = Dy = Dx = 3425.2 kn 1458.6 kn 1966.6 kn 18.8 mm 18.8 mm 15.00 20.00 2016,

More information

CORRELATION OF CAPWAP WITH STATIC LOAD TESTS

CORRELATION OF CAPWAP WITH STATIC LOAD TESTS CORRELATION OF CAPWAP WITH STATIC LOAD TESTS Garland Likins 1 and Frank Rausche 2 ABSTRACT Signal matching analysis such as CAPWAP is considered a standard procedure for the capacity evaluation from high

More information

BACKGROUND AND INTRODUCTION

BACKGROUND AND INTRODUCTION WAVE MECHANICS As applied to pile testing 1 BACKGROUND AND INTRODUCTION Wave Mechanics 2 1 HISTORIC TOOLS AND MATERIALS Timber piles Drop Hammers 10 Days for the Romans to build the bridge over the Rhine

More information

ASD and LRFD Methods Codes and Economics of Dynamic Testing ASTM D4945

ASD and LRFD Methods Codes and Economics of Dynamic Testing ASTM D4945 ASD and LRFD Methods Codes and Economics of Dynamic Testing ASTM D4945 Load Testing. Static Load Testing ASTM D1143 Deadload Testing React. Piles/Anchors Static Load Tests are the standard Costly: Need

More information

Lesson 25. Static Pile Load Testing, O-cell, and Statnamic. Reference Manual Chapter 18

Lesson 25. Static Pile Load Testing, O-cell, and Statnamic. Reference Manual Chapter 18 Lesson 25 Static Pile Load Testing, O-cell, and Statnamic Reference Manual Chapter 18 STATIC LOAD TESTING Most accurate method to determine static pile capacity Perform at design or construction stage

More information

PDA Workshop: Stresses, Integrity, Energy and Capacity

PDA Workshop: Stresses, Integrity, Energy and Capacity PDA Workshop: Stresses, Integrity, Energy and Capacity Ir Richard C L Yu IEM 2 Sep 2013 Dynamic Pile Monitoring For each blow determine Pile driving stresses Pile integrity Hammer performance Capacity

More information

Understanding Dynamic Pile Testing and Driveability

Understanding Dynamic Pile Testing and Driveability 008-015 understand dynamic 5/30/06 5:10 PM Page 8 Understanding Dynamic Pile Testing and Driveability... By: Engr. Dr Sam Ming Tuck MIEM, P.Eng INTRODUCTION Traditionally, piles are static load tested

More information

LRFD Calibration of Axially-Loaded Concrete Piles Driven into Louisiana Soils

LRFD Calibration of Axially-Loaded Concrete Piles Driven into Louisiana Soils LRFD Calibration of Axially-Loaded Concrete Piles Driven into Louisiana Soils Louisiana Transportation Conference February 10, 2009 Sungmin Sean Yoon, Ph. D., P.E. (Presenter) Murad Abu-Farsakh, Ph. D.,

More information

Maximum Envelope of Lateral Resistance through Dynamic Increasing Energy Test in Piles

Maximum Envelope of Lateral Resistance through Dynamic Increasing Energy Test in Piles Maximum Envelope of Lateral Resistance through Dynamic Increasing Energy Test in Piles R.M. Valverde, F. Massad Abstract. The traditional dynamic load test, based on the one-dimensional wave propagation

More information

Interpretation of Pile Integrity Test (PIT) Results

Interpretation of Pile Integrity Test (PIT) Results Annual Transactions of IESL, pp. 78-84, 26 The Institution of Engineers, Sri Lanka Interpretation of Pile Integrity Test (PIT) Results H. S. Thilakasiri Abstract: A defect present in a pile will severely

More information

Implementation of Pile Setup in the LRFD Design of Driven Piles in Louisiana

Implementation of Pile Setup in the LRFD Design of Driven Piles in Louisiana Implementation of Pile Setup in the LRFD Design of Driven Piles in Louisiana Md. Nafiul Haque (Ph.D. Candidate) Murad Y. Abu-Farsakh, Ph.D., P.E. March 1, 2016 Louisiana Transportation Conference OUTLINE

More information

Improving site specific modified driving formulae using high frequency displacement monitoring

Improving site specific modified driving formulae using high frequency displacement monitoring Proc. 20 th NZGS Geotechnical Symposium. Eds. GJ Alexander & CY Chin, Napier Improving site specific modified driving formulae using high frequency displacement monitoring R Damen Brian Perry Civil, Auckland,

More information

Congreso Internacional de Fundaciones Profundas de Bolivia Santa Cruz, Bolivia, 12 al 15 de Mayo de 2015 Day 1: Software Demonstrations

Congreso Internacional de Fundaciones Profundas de Bolivia Santa Cruz, Bolivia, 12 al 15 de Mayo de 2015 Day 1: Software Demonstrations Applications of Stress Wave Theory to Deep Foundations with an Emphasis on The Wave Equation (GRLWEAP) Congreso Internacional de Fundaciones Profundas de Bolivia Santa Cruz, Bolivia, 12 al 15 de Mayo de

More information

LOAD RESISTANCE FACTOR DESIGN (LRFD) FOR DRIVEN PILES BASED ON DYNAMIC METHODS WITH ASSESSMENT OF SKIN AND TIP RESISTANCE FROM PDA SIGNALS

LOAD RESISTANCE FACTOR DESIGN (LRFD) FOR DRIVEN PILES BASED ON DYNAMIC METHODS WITH ASSESSMENT OF SKIN AND TIP RESISTANCE FROM PDA SIGNALS LOAD RESISTANCE FACTOR DESIGN (LRFD) FOR DRIVEN PILES BASED ON DYNAMIC METHODS WITH ASSESSMENT OF SKIN AND TIP RESISTANCE FROM PDA SIGNALS By ARIEL PEREZ PEREZ A THESIS PRESENTED TO THE GRADUATE SCHOOL

More information

Dynamic Pile Testing ASTM D4945

Dynamic Pile Testing ASTM D4945 Dynamic Pile Testing ASTM D4945 Pile Driving Analyzer Garland Likins, Pile Dynamics, Inc. 2011 PDCA Professor s Institute Why test driven piles? Public assured of safe foundation (bridges, buildings, etc.)

More information

INTRODUCTION TO STATIC ANALYSIS PDPI 2013

INTRODUCTION TO STATIC ANALYSIS PDPI 2013 INTRODUCTION TO STATIC ANALYSIS PDPI 2013 What is Pile Capacity? When we load a pile until IT Fails what is IT Strength Considerations Two Failure Modes 1. Pile structural failure controlled by allowable

More information

vulcanhammer.info the website about Vulcan Iron Works Inc. and the pile driving equipment it manufactured Terms and Conditions of Use:

vulcanhammer.info the website about Vulcan Iron Works Inc. and the pile driving equipment it manufactured Terms and Conditions of Use: this document downloaded from vulcanhammer.info the website about Vulcan Iron Works Inc. and the pile driving equipment it manufactured Terms and Conditions of Use: All of the information, data and computer

More information

Calibration of Resistance Factors for Driven Piles using Static and Dynamic Tests

Calibration of Resistance Factors for Driven Piles using Static and Dynamic Tests University of Arkansas, Fayetteville ScholarWorks@UARK Theses and Dissertations 12-2014 Calibration of Resistance Factors for Driven Piles using Static and Dynamic Tests Deshinka A. Bostwick University

More information

LRFD GEOTECHNICAL IMPLEMENTATION

LRFD GEOTECHNICAL IMPLEMENTATION LRFD GEOTECHNICAL IMPLEMENTATION Ching-Nien Tsai, P.E. LADOTD Pavement and Geotechnical Services In Conjunction with LTRC WHY LRFD FHWA deadline - October 2007 LRFD is a better method Risk is quantified

More information

Deep Foundations 2. Load Capacity of a Single Pile

Deep Foundations 2. Load Capacity of a Single Pile Deep Foundations 2 Load Capacity of a Single Pile All calculations of pile capacity are approximate because it is almost impossible to account for the variability of soil types and the differences in the

More information

LRFD Application in Driven Piles (Recent Development in Pavement & Geotech at LTRC)

LRFD Application in Driven Piles (Recent Development in Pavement & Geotech at LTRC) LRFD Application in Driven Piles (Recent Development in Pavement & Geotech at LTRC) 2007 Louisiana Transportation Engineering Conference February 12, 2007 Sungmin Sean Yoon, Ph. D., P.E. and Murad Abu-Farsakh,

More information

EVALUATION OF LOAD TESTS FOR DRIVEN PILES FOR THE ALABAMA DEPARTMENT OF TRANSPORTATION. Jacob Wayne Hill

EVALUATION OF LOAD TESTS FOR DRIVEN PILES FOR THE ALABAMA DEPARTMENT OF TRANSPORTATION. Jacob Wayne Hill EVALUATION OF LOAD TESTS FOR DRIVEN PILES FOR THE ALABAMA DEPARTMENT OF TRANSPORTATION Except where reference is made to the work of others, the work described in this thesis is my own or was done in collaboration

More information

vulcanhammer.info the website about Vulcan Iron Works Inc. and the pile driving equipment it manufactured Terms and Conditions of Use:

vulcanhammer.info the website about Vulcan Iron Works Inc. and the pile driving equipment it manufactured Terms and Conditions of Use: this document downloaded from vulcanhammer.info the website about Vulcan Iron Works Inc. and the pile driving equipment it manufactured Terms and Conditions of Use: All of the information, data and computer

More information

Landslide FE Stability Analysis

Landslide FE Stability Analysis Landslide FE Stability Analysis L. Kellezi Dept. of Geotechnical Engineering, GEO-Danish Geotechnical Institute, Denmark S. Allkja Altea & Geostudio 2000, Albania P. B. Hansen Dept. of Geotechnical Engineering,

More information

Discussion: behaviour of jacked and driven piles in sandy soil

Discussion: behaviour of jacked and driven piles in sandy soil Title Discussion: behaviour of jacked and driven piles in sandy soil Author(s) Yang, J; Tham, LG; Lee, PKK; Chan, ST; Yu, F Citation Géotechnique, 27, v. 7 n., p. 47-478 Issued Date 27 URL http://hdl.handle.net/1722/7161

More information

Use of Ultra-High Performance Concrete in Geotechnical and Substructure Applications

Use of Ultra-High Performance Concrete in Geotechnical and Substructure Applications Use of Ultra-High Performance Concrete in Geotechnical and Substructure Applications i PI: Muhannad Suleiman Co-PI: Sri Sritharan Graduate Research Assistant: Thomas L. Vande Voort January 13, 29 IOWA

More information

vulcanhammer.info the website about Vulcan Iron Works Inc. and the pile driving equipment it manufactured Terms and Conditions of Use:

vulcanhammer.info the website about Vulcan Iron Works Inc. and the pile driving equipment it manufactured Terms and Conditions of Use: this document downloaded from vulcanhammer.info the website about Vulcan Iron Works Inc. and the pile driving equipment it manufactured Terms and Conditions of Use: All of the information, data and computer

More information

PILE SETUP LA-1 EXPERIENCE. Ching-Nien Tsai, P.E.

PILE SETUP LA-1 EXPERIENCE. Ching-Nien Tsai, P.E. PILE SETUP LA-1 EXPERIENCE Ching-Nien Tsai, P.E. Bayou Lafourche Mississippi River GEOTECHNICAL INVESTIGATION PROGRAM 102 CPT soundings Depths from 100 feet to 200 feet 118 borings Depths from

More information

In-class Exercise. Problem: Select load factors for the Strength I and Service I Limit States for the. Loading Diagram for Student Exercise

In-class Exercise. Problem: Select load factors for the Strength I and Service I Limit States for the. Loading Diagram for Student Exercise In-class Exercise Problem: Select load factors for the Strength I and Service I Limit States for the problem illustrated below. Loading Diagram for Student Exercise For this exercise, complete the following

More information

Comparison of Static and Dynamic Pile Load Tests at Thi Vai International Port in Viet Nam

Comparison of Static and Dynamic Pile Load Tests at Thi Vai International Port in Viet Nam Comparison of Static and Dynamic Pile Load Tests at Thi Vai International Port in Viet Nam Le Phan Ta, Ph.D student, Graduate School of Kanazawa University, Japan (HCMC University of Architecture, Viet

More information

INCREASE IN PILE CAPACITY WITH TIME IN MISSOURI RIVER ALLUVIUM

INCREASE IN PILE CAPACITY WITH TIME IN MISSOURI RIVER ALLUVIUM INCREASE IN PILE CAPACITY WITH TIME IN MISSOURI RIVER ALLUVIUM Paul J. Axtell Jacob W. Owen Scott D. Vollink U.S. Army Corps of Engineers U.S. Army Corps of Engineers U.S. Army Corps of Engineers Kansas

More information

Verification of Signal Matching Analysis of Pile Driving Using a Finite Difference Based Continuum Numerical Method

Verification of Signal Matching Analysis of Pile Driving Using a Finite Difference Based Continuum Numerical Method Verification of Signal Matching Analysis of Pile Driving Using a Finite Difference Based Continuum Numerical Method Shahram Feizee Masouleh 1, Kazem Fakharian 1,* Received 2 September 27; accepted 9 June

More information

cyclic loading in Germany

cyclic loading in Germany Note to actual al design of micropiles under axial cyclic loading in Germany according to DIN 1054 and further guidelines Jennifer Kleih 9th International Workshop on Micropiles London 13th May 2009 Outline

More information

PILE LOAD CAPACITY USING STATIC AND DYNAMIC LOAD TEST ANUP KUMAR HALDER

PILE LOAD CAPACITY USING STATIC AND DYNAMIC LOAD TEST ANUP KUMAR HALDER PILE LOAD CAPACITY USING STATIC AND DYNAMIC LOAD TEST By ANUP KUMAR HALDER A thesis submitted to the Department of Civil Engineering, Bangladesh University of Engineering and Technology, Dhaka, in partial

More information

DESIGNING FOR DOWNDRAG ON UNCOATED AND BITUMEN COATED PILES

DESIGNING FOR DOWNDRAG ON UNCOATED AND BITUMEN COATED PILES DESIGNING FOR DOWNDRAG ON UNCOATED AND BITUMEN COATED PILES Jean-Louis BRIAUD, PhD, PE President of ISSMGE Professor and Holder of the Buchanan Chair Texas A&M University Piling and Deep Foundations Middle

More information

Axially Loaded Piles

Axially Loaded Piles Axially Loaded Piles 1 t- Curve Method using Finite Element Analysis The stress-strain relationship for an axially loaded pile can be described through three loading mechanisms: axial deformation in the

More information

CPT Pore Water Pressure Correlations with PDA to Identify Pile Drivability Problem

CPT Pore Water Pressure Correlations with PDA to Identify Pile Drivability Problem CPT Pore Water Pressure Correlations with PDA to Identify Pile Drivability Problem Fauzi Jarushi, Paul Cosentino, Edward Kalajian, Hadeel Dekhn Abstract At certain depths during large diameter displacement

More information

vulcanhammer.info the website about Vulcan Iron Works Inc. and the pile driving equipment it manufactured Terms and Conditions of Use:

vulcanhammer.info the website about Vulcan Iron Works Inc. and the pile driving equipment it manufactured Terms and Conditions of Use: this document downloaded from vulcanhammer.info the website about Vulcan Iron Works Inc. and the pile driving equipment it manufactured Terms and Conditions of Use: All of the information, data and computer

More information

S E C T I O N 1 2 P R O D U C T S E L E C T I O N G U I D E - H E L I C A L S C R E W P I L E F O U N D A T I O N S

S E C T I O N 1 2 P R O D U C T S E L E C T I O N G U I D E - H E L I C A L S C R E W P I L E F O U N D A T I O N S 1. P R O D U C T S E L E C T I O N G U I D E - H E L I C A L S C R E W P I L E F O U N D A T I O N S Helical foundation pile includes a lead and extension(s). The lead section is made of a central steel

More information

Numerical Modelling of Dynamic Earth Force Transmission to Underground Structures

Numerical Modelling of Dynamic Earth Force Transmission to Underground Structures Numerical Modelling of Dynamic Earth Force Transmission to Underground Structures N. Kodama Waseda Institute for Advanced Study, Waseda University, Japan K. Komiya Chiba Institute of Technology, Japan

More information

Application of cyclic accumulation models for undrained and partially drained general boundary value problems

Application of cyclic accumulation models for undrained and partially drained general boundary value problems Application of cyclic accumulation models for undrained and partially drained general boundary value problems A. M. Page Risueño Yngres Dag 2014, May 15 th 2014 Introduction Cyclic loads in geotechnical

More information

NCHRP LRFD Design Specifications for Shallow Foundations TRB AFS30 Committee Meeting January 26, 2011

NCHRP LRFD Design Specifications for Shallow Foundations TRB AFS30 Committee Meeting January 26, 2011 Geotechnical Engineering Research Laboratory Dept. of Civil and Environmental Engineering University of Massachusetts Lowell. NCHRP 24-31 LRFD Design Specifications for Shallow Foundations TRB AFS3 Committee

More information

Bored Sockets in weathered Basalt

Bored Sockets in weathered Basalt Bored Sockets in weathered Basalt L. Maertens Manager Engineering Department Besix, Belgium Associate Professor Catholic University Leuven Keywords: sockets, open-end piles, tensile piles, basalt ABSTRACT:

More information

Comparisons of rapid load test, dynamic load test and static load test on driven piles

Comparisons of rapid load test, dynamic load test and static load test on driven piles Comparisons of rapid load test, dynamic load test and static load test on driven piles Bamrungwong, C., Chaisukhang, J. & Janmonta, K. Department of Rural Roads, Thailand Kitiyodom, P. Geotechnical & Foundation

More information

2D Liquefaction Analysis for Bridge Abutment

2D Liquefaction Analysis for Bridge Abutment D Liquefaction Analysis for Bridge Abutment Tutorial by Angel Francisco Martinez Integrated Solver Optimized for the next generation 64-bit platform Finite Element Solutions for Geotechnical Engineering

More information

CHAPTER 7 ANALYSES OF THE AXIAL LOAD TESTS AT THE ROUTE 351 BRIDGE

CHAPTER 7 ANALYSES OF THE AXIAL LOAD TESTS AT THE ROUTE 351 BRIDGE CHAPTER 7 ANALYSES OF THE AXIAL LOAD TESTS AT THE ROUTE 351 BRIDGE 7.1 INTRODUCTION In this chapter, calculations using methods commonly employed in practice are presented for the pile axial load capacity,

More information

Chapter 7: Settlement of Shallow Foundations

Chapter 7: Settlement of Shallow Foundations Chapter 7: Settlement of Shallow Foundations Introduction The settlement of a shallow foundation can be divided into two major categories: (a) elastic, or immediate settlement and (b) consolidation settlement.

More information

CPT Guide 5 th Edition. CPT Applications - Deep Foundations. Gregg Drilling & Testing, Inc. Dr. Peter K. Robertson Webinar # /2/2013

CPT Guide 5 th Edition. CPT Applications - Deep Foundations. Gregg Drilling & Testing, Inc. Dr. Peter K. Robertson Webinar # /2/2013 Gregg Drilling & Testing, Inc. Site Investigation Experts CPT Applications - Deep Foundations Dr. Peter K. Robertson Webinar #6 2013 CPT Guide 5 th Edition Robertson & Cabal (Robertson) 5 th Edition 2012

More information

SHEET PILE WALLS. Mehdi Mokhberi Islamic Azad University

SHEET PILE WALLS. Mehdi Mokhberi Islamic Azad University SHEET PILE WALLS Mehdi Mokhberi Islamic Azad University Lateral Support In geotechnical engineering, it is often necessary to prevent lateral soil movements. Tie rod Anchor Sheet pile Cantilever retaining

More information

file:///d /suhasini/suha/office/html2pdf/ _editable/slides/module%202/lecture%206/6.1/1.html[3/9/2012 4:09:25 PM]

file:///d /suhasini/suha/office/html2pdf/ _editable/slides/module%202/lecture%206/6.1/1.html[3/9/2012 4:09:25 PM] Objectives_template Objectives In this section you will learn the following Introduction Different Theories of Earth Pressure Lateral Earth Pressure For At Rest Condition Movement of the Wall Different

More information

Literature review Quasi-static and Dynamic pile load tests

Literature review Quasi-static and Dynamic pile load tests Literature review Quasi-static and Dynamic pile load tests --------N.Q.HUY-------- Table of contents: I. Introduction.3 II. Quasi static pile load test methods...4 2.1. Quasi static pile load test procedures

More information

OP-023. INTERPRETATION OF INSTRUMENTED TEST PILE RESULT

OP-023. INTERPRETATION OF INSTRUMENTED TEST PILE RESULT INTERPRETATION OF INSTRUMENTED TEST PILE RESULT Page 1 of 9 WORK INSTRUCTIONS FOR ENGINEERS GSJ Compiled by : Checked by KYW : LSS Approved by : OP-23. INTERPRETATION OF INSTRUMENTED TEST PILE RESULT INTERPRETATION

More information

Lecture 7. Pile Analysis

Lecture 7. Pile Analysis Lecture 7 14.5 Release Pile Analysis 2012 ANSYS, Inc. February 9, 2013 1 Release 14.5 Pile definition in Mechanical - There are a number of methods that can be used to analyze piled foundations in ANSYS

More information

PERFORMANCE OF BITUMINOUS COATS IN REDUCING NEGATIVE SKIN

PERFORMANCE OF BITUMINOUS COATS IN REDUCING NEGATIVE SKIN PERFORMANCE OF BITUMINOUS COATS IN REDUCING NEGATIVE SKIN FRICTION Makarand G. Khare, PhD Research Scholar, Indian Institute of Technology Madras, Chennai, India Shailesh R. Gandhi, Professor, Indian Institute

More information

Finite Element Modelling with Plastic Hinges

Finite Element Modelling with Plastic Hinges 01/02/2016 Marco Donà Finite Element Modelling with Plastic Hinges 1 Plastic hinge approach A plastic hinge represents a concentrated post-yield behaviour in one or more degrees of freedom. Hinges only

More information

Chapter (11) Pile Foundations

Chapter (11) Pile Foundations Chapter (11) Introduction Piles are structural members that are made of steel, concrete, or timber. They are used to build pile foundations (classified as deep foundations) which cost more than shallow

More information

This document downloaded from vulcanhammer.net vulcanhammer.info Chet Aero Marine

This document downloaded from vulcanhammer.net vulcanhammer.info Chet Aero Marine This document downloaded from vulcanhammer.net vulcanhammer.info Chet Aero Marine Don t forget to visit our companion site http://www.vulcanhammer.org Use subject to the terms and conditions of the respective

More information

CHEN YUE. Bachelor of Science in Civil Engineering

CHEN YUE. Bachelor of Science in Civil Engineering INVESTIGATION OF PREDICTION METHODS FOR BEARING CAPACITY OF PILES By CHEN YUE Final Year Project Report submitted in partial fulfillment of the requirement of the Degree of Bachelor of Science in Civil

More information

The attitude he maintains in his relation to the engineer is very well stated in his own words:

The attitude he maintains in his relation to the engineer is very well stated in his own words: Su bsurface Soil Exploration, 53: 139 Foundation Engineering Geotechnical companies that have a history of experience in a given region usually have extensive boring logs and maps telling where the borings

More information

Lateral Earth Pressure

Lateral Earth Pressure 1 of 11 6/2/2012 4:28 AM Lateral Earth Pressure The magnitude of lateral earth pressure depends on: 1. Shear strength characteristics of soil 2. Lateral strain condition 3. Pore water pressure 4. State

More information

50 ksi Steel H-pile Capacity

50 ksi Steel H-pile Capacity 50 ksi Steel H-pile Capacity FINAL REPORT June 30, 2015 Kent A Harries, PhD, FACI, FIIFC, PEng Jeen-Shang Lin, ScD, PE Marwa Hasanzoi, MSCE COMMONWEALTH OF PENNSYLVANIA DEPARTMENT OF TRANSPORTATION CONTRACT

More information

Gapping effects on the lateral stiffness of piles in cohesive soil

Gapping effects on the lateral stiffness of piles in cohesive soil Gapping effects on the lateral stiffness of piles in cohesive soil Satyawan Pranjoto Engineering Geology, Auckland, New Zealand. M. J. Pender Department of Civil and Environmental Engineering, University

More information

Module 9 : Foundation on rocks. Content

Module 9 : Foundation on rocks. Content FOUNDATION ON ROCKS Content 9.1 INTRODUCTION 9.2 FOUNDATION TYPES ON ROCKS 9.3 BEARING CAPCITY- SHALLOW FOUNDATION 9.3.1 Ultimate bearing capacity 9.3.2 Safe bearing pressure 9.3.3 Estimation of bearing

More information

Experimental study of sand deformations during a CPT

Experimental study of sand deformations during a CPT 3 rd International Symposium on Cone Penetration Testing, Las Vegas, Nevada, USA - 2014 Experimental study of sand deformations during a CPT A.V. Melnikov & G.G. Boldyrev Penza State University of Architecture

More information

Comparison of shear pile force and moment in slippage reinforced with shear pile Mona Mohamadi 1, Abolfazl Eslami, Farhad Nabizade 1 1. Department of Technology, Guilan University, Iran. Department of

More information

Determination of Excess Pore Pressure in Earth Dam after Earthquake

Determination of Excess Pore Pressure in Earth Dam after Earthquake ABSTRACT: Determination of Excess Pore Pressure in Earth Dam after Earthquake S.M. Nasrollahi Faculty of Islamic Azad University Qaenat Branch, Qaen, Iran. Email: s.m.nasrollahi@gmail.com Pore pressure

More information

Calibration of Resistance Factor for Design of Pile Foundations Considering Feasibility Robustness

Calibration of Resistance Factor for Design of Pile Foundations Considering Feasibility Robustness Calibration of Resistance Factor for Design of Pile Foundations Considering Feasibility Robustness Hsein Juang Glenn Professor of Civil Engineering Clemson University 1 2 Outline of Presentation Background

More information

Assessment of Calculation Procedures for Piles in Clay based on Static Loading Tests Anders Hust Augustesen

Assessment of Calculation Procedures for Piles in Clay based on Static Loading Tests Anders Hust Augustesen Assessment of Calculation Procedures for Piles in Clay based on Static Loading Tests By Anders Hust Augustesen 1 Agenda Presentation of calculation procedures Basis for the evaluation of the calculation

More information

Effective stress analysis of pile foundations in liquefiable soil

Effective stress analysis of pile foundations in liquefiable soil Effective stress analysis of pile foundations in liquefiable soil H. J. Bowen, M. Cubrinovski University of Canterbury, Christchurch, New Zealand. M. E. Jacka Tonkin and Taylor Ltd., Christchurch, New

More information

Soil strength. the strength depends on the applied stress. water pressures are required

Soil strength. the strength depends on the applied stress. water pressures are required Soil Strength Soil strength u Soils are essentially frictional materials the strength depends on the applied stress u Strength is controlled by effective stresses water pressures are required u Soil strength

More information

TRANSPORTATION RESEARCH BOARD. Static and Seismic Design of Piles for Downdrag. Thursday, October 4, :00-3:30 PM ET

TRANSPORTATION RESEARCH BOARD. Static and Seismic Design of Piles for Downdrag. Thursday, October 4, :00-3:30 PM ET TRANSPORTATION RESEARCH BOARD Static and Seismic Design of Piles for Downdrag Thursday, October 4, 2018 2:00-3:30 PM ET The Transportation Research Board has met the standards and requirements of the Registered

More information

User Guide for FB-Deep F.C. Townsend

User Guide for FB-Deep F.C. Townsend User Guide or FB-Deep F.C. Townsend Intro: FB-Deep (ormerly SHAFT-SPT) is a combination o SHAFT 98, which uses the FHWA O Neill & Reese method or drilled shats and intermediate geomaterials, and SPT97,

More information

Finite Element Investigation of the Interaction between a Pile and a Soft Soil focussing on Negative Skin Friction

Finite Element Investigation of the Interaction between a Pile and a Soft Soil focussing on Negative Skin Friction NGM 2016 Reykjavik Proceedings of the 17 th Nordic Geotechnical Meeting Challenges in Nordic Geotechnic 25 th 28 th of May Finite Element Investigation of the Interaction between a Pile and a Soft Soil

More information

CHAPTER 8 CALCULATION THEORY

CHAPTER 8 CALCULATION THEORY CHAPTER 8 CALCULATION THEORY. Volume 2 CHAPTER 8 CALCULATION THEORY Detailed in this chapter: the theories behind the program the equations and methods that are use to perform the analyses. CONTENTS CHAPTER

More information

Analysis of Load Carrying Capacity of a Single Pile in Weathered Rock

Analysis of Load Carrying Capacity of a Single Pile in Weathered Rock Analysis of Load Carrying Capacity of a Single Pile in Weathered Rock Ramkripal Yadav Graduate Student, Department of Civil & Environment Engineering, VJTI College, Matunga (E), Maharashtra, India ABSTRACT:

More information

Views on Accuracy of Tests and Analyses

Views on Accuracy of Tests and Analyses Piling & Deep Foundations Asia 29 Workshop A, July 13, 29 Views on Accuracy of Tests and Analyses Bengt H. Fellenius ======================================================================================================================

More information

SOME OBSERVATIONS RELATED TO LIQUEFACTION SUSCEPTIBILITY OF SILTY SOILS

SOME OBSERVATIONS RELATED TO LIQUEFACTION SUSCEPTIBILITY OF SILTY SOILS SOME OBSERVATIONS RELATED TO LIQUEFACTION SUSCEPTIBILITY OF SILTY SOILS Upul ATUKORALA 1, Dharma WIJEWICKREME 2 And Norman MCCAMMON 3 SUMMARY The liquefaction susceptibility of silty soils has not received

More information

INTERPRETATION OF UNDRAINED SHEAR STRENGTH OF UNSATURATED SOILS IN TERMS OF STRESS STATE VARIABLES

INTERPRETATION OF UNDRAINED SHEAR STRENGTH OF UNSATURATED SOILS IN TERMS OF STRESS STATE VARIABLES INTERPRETATION OF UNDRAINED SHEAR STRENGTH OF UNSATURATED SOILS IN TERMS OF STRESS STATE VARIABLES S. K. Vanapalli and D.G. Fredlund Department of Civil Engineering University of Saskatchewan, Saskatoon

More information

Introduction to Soil Mechanics

Introduction to Soil Mechanics Introduction to Soil Mechanics Sela Sode and Colin Jones WILEY Blackwell Contents Preface Dedication and Acknowledgments List of Symbols Soil Structure 1.1 Volume relationships 1.1.1 Voids ratio (e) 1.1.2

More information

TIME-DEPENDENT BEHAVIOR OF PILE UNDER LATERAL LOAD USING THE BOUNDING SURFACE MODEL

TIME-DEPENDENT BEHAVIOR OF PILE UNDER LATERAL LOAD USING THE BOUNDING SURFACE MODEL TIME-DEPENDENT BEHAVIOR OF PILE UNDER LATERAL LOAD USING THE BOUNDING SURFACE MODEL Qassun S. Mohammed Shafiqu and Maarib M. Ahmed Al-Sammaraey Department of Civil Engineering, Nahrain University, Iraq

More information

THE STRUCTURAL DESIGN OF PILE FOUNDATIONS BASED ON LRFD FOR JAPANESE HIGHWAYS

THE STRUCTURAL DESIGN OF PILE FOUNDATIONS BASED ON LRFD FOR JAPANESE HIGHWAYS THE STRUCTURAL DESIGN OF PILE FOUNDATIONS BASED ON LRFD FOR JAPANESE HIGHWAYS Hideaki Nishida 1,Toshiaki Nanazawa 2, Masahiro Shirato 3, Tetsuya Kohno 4, and Mitsuaki Kitaura 5 Abstract One of the motivations

More information

Results from long-term measurement in piles of drag force and downdrag

Results from long-term measurement in piles of drag force and downdrag Results from long-term measurement in piles of drag force and downdrag The Bäckebol site in June 1968 Fellenius, B.H., 26. Results from long-term measurement in piles of drag force and downdrag. Canadian

More information

vulcanhammer.net This document downloaded from

vulcanhammer.net This document downloaded from This document downloaded from vulcanhammer.net since 1997, your source for engineering information for the deep foundation and marine construction industries, and the historical site for Vulcan Iron Works

More information

Engineeringmanuals. Part2

Engineeringmanuals. Part2 Engineeringmanuals Part2 Engineering manuals for GEO5 programs Part 2 Chapter 1-12, refer to Engineering Manual Part 1 Chapter 13. Pile Foundations Introduction... 2 Chapter 14. Analysis of vertical load-bearing

More information

AN ABSTRACT OF THE THESIS OF

AN ABSTRACT OF THE THESIS OF AN ABSTRACT OF THE THESIS OF Nasim Adami for the degree of Master of Science in Civil Engineering presented on October 28, 213. Title: Development of an ACIP Pile-Specific Load-Displacement Model. Abstract

More information

Summary and Review of Part II of the Symposium on Pile Foundations

Summary and Review of Part II of the Symposium on Pile Foundations Summary and Review of Part II of the Symposium on Pile Foundations G. A. LEONARDS, Purdue University PILE FOUNDATIONS share with cellular cofferdams the distinction of yielding most reluctantly to the

More information

Guidelines on Foundation Loading and Deformation Due to Liquefaction Induced Lateral Spreading

Guidelines on Foundation Loading and Deformation Due to Liquefaction Induced Lateral Spreading Guidelines on Foundation Loading and Deformation Due to Liquefaction Induced Lateral Spreading February, 2011 1 INTRODUCTION Past earthquakes offer many examples of bridges that either collapsed or incurred

More information

Liquefaction and Foundations

Liquefaction and Foundations Liquefaction and Foundations Amit Prashant Indian Institute of Technology Gandhinagar Short Course on Seismic Design of Reinforced Concrete Buildings 26 30 November, 2012 What is Liquefaction? Liquefaction

More information

Cubzac-les-Ponts Experimental Embankments on Soft Clay

Cubzac-les-Ponts Experimental Embankments on Soft Clay Cubzac-les-Ponts Experimental Embankments on Soft Clay 1 Introduction In the 197 s, a series of test embankments were constructed on soft clay at Cubzac-les-Ponts in France. These full-scale field tests

More information

Verification of the Hyperbolic Soil Model by Triaxial Test Simulations

Verification of the Hyperbolic Soil Model by Triaxial Test Simulations 1 Introduction Verification of the Hyperbolic Soil Model by Triaxial Test Simulations This example simulates a series of triaxial tests that can be used to verify that the Hyperbolic constitutive model

More information

Type approval granted by the Finnish Ministry of the Environment

Type approval granted by the Finnish Ministry of the Environment RR Piling Manual 2 Type approval granted by the Finnish Ministry of the Environment 2..02. RR Piling Manual 1. General This manual deals with impact-driven RR piles. It is an abridgement of the RR Piling

More information

STUDY OF THE BEHAVIOR OF PILE GROUPS IN LIQUEFIED SOILS

STUDY OF THE BEHAVIOR OF PILE GROUPS IN LIQUEFIED SOILS STUDY OF THE BEHAVIOR OF PILE GROUPS IN LIQUEFIED SOILS Shin-Tower Wang 1, Luis Vasquez 2, and Lymon C. Reese 3, Honorary Member,, ASCE ABSTRACT : 1&2 President & Project Manager, Ensoft, Inc. Email: ensoft@ensoftinc.com

More information

DRILLED DISPLACMENT PILE PERFORMANCE IN COASTAL PLAIN AND RESIDUAL SOILS

DRILLED DISPLACMENT PILE PERFORMANCE IN COASTAL PLAIN AND RESIDUAL SOILS DRILLED DISPLACMENT PILE PERFORMANCE IN COASTAL PLAIN AND RESIDUAL SOILS Presented by: W. Morgan NeSmith, P.E. Berkel & Company Contractors Inc. 770.941.5100 mnesmith@berkelapg.com SC Engineering Conference

More information

(Refer Slide Time: 02:18)

(Refer Slide Time: 02:18) Geology and Soil Mechanics Prof. P. Ghosh Department of Civil Engineering Indian Institute of Technology Kanpur Lecture 40 Shear Strength of Soil - C Keywords: Shear strength of soil, direct shear test,

More information

The Bearing Capacity of Soils. Dr Omar Al Hattamleh

The Bearing Capacity of Soils. Dr Omar Al Hattamleh The Bearing Capacity of Soils Dr Omar Al Hattamleh Example of Bearing Capacity Failure Omar Play the move of bearing Capacity failure The Philippine one Transcona Grain Silos Failure - Canada The Bearing

More information

Full-Scale Testing of Blast-Induced Liquefaction Downdrag on Driven Piles in Sand

Full-Scale Testing of Blast-Induced Liquefaction Downdrag on Driven Piles in Sand Brigham Young University BYU ScholarsArchive All Theses and Dissertations 2017-07-01 Full-Scale Testing of Blast-Induced Liquefaction Downdrag on Driven Piles in Sand Luke Ian Kevan Brigham Young University

More information

Design and Construction of Large Diameter Impact Driven Pipe Pile Foundations New East Span San Francisco-Oakland Bay Bridge

Design and Construction of Large Diameter Impact Driven Pipe Pile Foundations New East Span San Francisco-Oakland Bay Bridge Missouri University of Science and Technology Scholars' Mine International Conference on Case Histories in Geotechnical Engineering (2004) - Fifth International Conference on Case Histories in Geotechnical

More information

TINIUS OLSEN Testing Machine Co., Inc.

TINIUS OLSEN Testing Machine Co., Inc. Interpretation of Stress-Strain Curves and Mechanical Properties of Materials Tinius Olsen has prepared this general introduction to the interpretation of stress-strain curves for the benefit of those

More information