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By K. Viking

The vibratory characteristics of full-scale sheet piles, vibratory driven into the ground, have so far not been described systematically in detail. This paper concerns the preliminary results of a series of full-scale field tests where both the driveability and induced ground vibrations have been continuously monitored. Furthermore, the results of measured ground vibration levels have been measured at two different sites characterised as having hard and easy driving conditions. In the light of the presented results, the paper briefly discusses how the complexity of a driveability and vibration prediction can be subdivided into three parts, namely, vibrator-, sheet pile-, and soil-related parameters, all of which significantly affect both the driveability and induced ground vibrations.

Jan 1, 2000

By Mathew Janes

"Sheet piles remain an economic solution to many shoring problems. However, installation of sheet piling suffers high noise and vibration with conventional impact or vibratory methods or low production and high expense with push techniques. Many projects simply will not allow sheet piling due to vibration concerns.Installing sheet piles with a tunable, high frequency Resonant vibrator provides high production with imperceptible ground vibrations. Recent projects in Canada have proven the technique on production projects where vibration sensitive structures are present immediately adjacent to the sheet piling. A project in Whitehorse, Yukon required a Waterloo style impervious sheet pile barrier be driven immediately adjacent to a sensitive, large diameter sewer line. The 1800 m2 Waterloo barrier was driven to prevent hydrocarbon leachate from entering the Yukon River. Proposed driving of the sheet raised concerned as the sewer serviced downtown Whitehorse. Monitoring of the sewer during Resonant driving proved the ground vibrations to be imperceptible. Use of the Resonant Driver prevented all concern over ground borne vibration of the sewer and allowed the contractor to progress at conventional, high production while maintaining low cost to the owner.Subsequent projects continue to prove that Resonant driving of sheet piles achieves high production while eliminating ground vibration.IntroductionA complex environmental clean-up problem required a unique solution. A historic oil and fuel transfer station in Whitehorse, Yukon is located on the Yukon River. The facility has been in use since the Second World War and witnessed much careless activity. The sand and gravel site provided ease of transmission of hydrocarbon leachates directly into the Yukon River. Continued use of the site required a barrier wall be constructed to prevent hydrocarbon from leaching into the Yukon River. A short construction season and restrictive fisheries window made for a compressed schedule. Along the shoreline of the property and within the required clean up zone a large diameter sanitary sewer collector line was present that serviced the majority of downtown Whitehorse. The design called for a barrier wall to be constructed along the waterfront adjacent to the sewer with cofferdams constructed out into the Yukon River to recover contaminated riverbed soils. The coarse sands and gravels meant high hydraulic conductivity into any kind of excavation, including slurried or drilled shafts that may have been used to construct a low vibration shoring system. Conventional hammer or vibrator technology would result in high ground vibrations that risked damaging the sewer. The Resonant Driver method was selected for its ability to drive sheet piles with high production and zero ground borne vibrations."

Jan 1, 2014

By Peter Chou

A total of 117 slope stabilization drilled piers were installed as part of a major hillside revitalization project. The 110-million dollar development, known as Stratford at Kenwood, included an 18-story upscale senior residential tower, a 3-story healthcare building, and 4-story condominium buildings, offering approximately 580,000 square feet of living space with panoramic views of Downtown Cincinnati, Ohio. In an effort to establish a flatter hillside plateau for the new 4-story condominium and to create a cut and fill balanced jobsite environment, an 800-foot long row of drilled piers and a 600-foot long multi-tiered shear key system was used to terrace existing 1.5H to 3H: 1V steep slopes and support the new fill. These slope stabilization features reduced the amount of spoils needed to be wasted off-site and mitigated the risk of slope instability. An ODOT/FHWA research indicated that spacing of stabilization piers and necessity of top-connecting elements are highly dependent on pier diameter, spacing, soil type, depth to potential failure surface, surcharge loads, and pier deflection. Due to pre-existing deep buried swales, various load combinations, and the complex mechanism of soil arching effects between adjacent piers, both analytical and numerical computer modeling was performed to estimate the loading on each pier. New generation multiplexed, 3-Dimensional, Micro-Electro-Mechanical-System based inclinometers were installed between selected piers to confirm the pier design, and monitor the fill placement, as well as long-term slope stability.

Jan 1, 2009

By Colin Curtis

In recent years, Manchester Airport has undergone expansion including the construction of a second runway, a new terminal building (Terminal 3) and extensions to the existing Terminal 1. Manchester is Britains third largest airport and ranked 20th in the world for international traffic. Arup (Manchester) was engaged as consulting engineer in a multi-disciplinary role for the terminal works. Part of this was a geotechnical commission including site investigation and pile design followed by supervision. This paper reviews the piling for the old, new and terminal extensions. In total, five pile types have been utilised over the years. The original 1950's Terminal 1 was founded on driven cast in situ piles, with a later 1970's extension utilising rotary augured piles. The recent piling comprised continuous flight auger piles (CFA), driven steel tube and tripod bored; the latter in areas of restricted access or low headroom. The ground conditions are Made Ground over thin Alluvial and Glacial drift, in turn, over a generally weak to moderately weak gypsiferous mudstone. All the piles were socketed into the mudstone. In terms of the new CFA piles, quality control using the instrumentation monitoring was problematical, but a substantial static load and integrity test programme resolved pile performance. Part of the work is matching new pile performance with previously installed piles and the continued use of older piles with new loads. Research provided some data on the older piles, including some static load test data, which enabled back analyses of their design and likely behaviour. Differences in design methods, installation techniques and pile behaviour based on load tests will be discussed.

Jan 1, 2001

By Peter O. Wilkinson

Ascot Racecourse in the UK is a major international venue for horseracing. The racecourse is being redeveloped to provide entirely new public facilities. The development includes the construction of a new grandstand. A site investigation was earned out comprising mainly cone penetration testing. The site is underlain by the Bagshot Formation, comprising predominately cohesionless deposits of medium dense becoming dense, silty fine to medium sand, containing occasional layers of clay. Shallow foundations would present uncertainty regarding total and differential movement; hence a piled foundation solution was chosen using a continuous flight auger (CFA) piling system. The possibility that piles may found either directly on or within the influence of cohesive material suggested uncertainty regarding toe resistance. In order to measure shaft friction, an instrumented preliminary test pile was undertaken. The results were compared to published correlations of cone and shaft resistance. This approach resulted in a net saving in terms of pile length which resulted in optimum value engineering and hence a cost saving to the client.

Jan 1, 2006

By Seth L. Pearlman

Pin Piles are small diameter high capacity drilled and grouted piles also called minipiles or micropiles. They are ideal for building foundations on sites with poor ground conditions, sensitive surroundings, restricted vertical clearance, or difficult access. They are also well suited to foundation underpinning, arresting ground movements, and increasing the capacity of existing foundations. The major factors for selection of Pin Piles are reviewed; drilling, grouting, and design fundamentals are summarized; and a major case history is presented for the underpinning of the 43 story elevator core at the recently opened Mandalay Bay Resort and Casino in Las Vegas, NV.

Jan 1, 2000

By Amaneh E. Kenarsari

Among the different sources of uncertainty in pile bearing capacity prediction including inherent heterogeneity, measurement and model uncertainties, the inherent heterogeneity of soil properties is of particular interest and is considered in this study. Cone tip resistance data are utilized to calculate pile bearing capacity by considering vertical soil variability. In this regard, cone tip resistance component of CPT data is assumed as a random parameter. Realizations of this parameter are achieved with the aid of local average subdivisions and random field theories. Monte Carlo simulation is used to generate different realizations of CPT or CPT-u data. Pile bearing capacity was then calculated by the use of direct method. Pile bearing capacity are predicted for a project in south of Iran using this method and probability density function for the total bearing capacity of pile is plotted. Coefficient of variation of 33% for ultimate bearing capacity shows the variability of bearing capacity due to variation of soil strength in depth. Cumulative probability chart for the ultimate bearing capacity are plotted as an efficient tool for estimating ultimate bearing capacity of piles with different desired confidence levels for vertically variable soil strength properties. Significant difference between mean value of pile bearing capacity (18 MN) and limit with 95% confidence level (8 MN) emphasizes the importance of considering soil variability.

Jan 1, 2011

By Paul J. Axtell

Two new railroad bridges in Kansas City, Missouri are founded on drilled shafts embedded into the soil and underlying shale. The uncertainty arising from the non-homogeneous, anisotropic nature of most shales, and the variability of shales across the U.S., makes it a difficult material to assign appropriate design properties. As was the case on this project, the uncertainty of foundation performance in shale can lead to overly conservative designs, particularly with drilled shaft foundations. An extensive Statnamic axial testing program was performed to verify that the load-settlement behavior of the drilled shafts would be acceptable for the intended railroad traffic. Axial Statnamic testing was applied in three increasing cycles of 927 kips, 1007 kips, and 3177 kips, respectively. The maximum movements recorded at the shaft head during each of the loadings were 0.052 inches, 0.062 inches, and 0.257 inches, respectively. The loads applied in each of the respective Statnamic tests were not sufficient to reach the capacity of the shaft; so direct comparison of measured and calculated capacities is not possible. However, evaluation of the estimated design capacity can be accomplished based on results from the Statnamic testing program by utilizing normalized load transfer relations presented by O?Neill and Reese (1999). Such comparisons necessarily require extrapolation of the data measured in the Statnamic tests following typical load-displacement response. Results indicate the Kulhawy and Phoon (1993) method for estimating side resistance in Pleasanton shale rock sockets, assuming a smooth socket, appears to agree well with observed behavior during Statnamic testing. Accordingly, the O?Neill and Reese (1999) method for estimating the toe resistance in intermediate geomaterials, assuming cohesive rock with Rock Quality Designation (RQD) between 70 and 100, appears to agree well with observed behavior during Statnamic testing. Finally, based on Statnamic testing at varying load magnitudes and normalized curves developed by O?Neill and Reese (1999), the contribution of side resistance to the capacity of a deep foundation can be determined assuming no load is transferred to the base of the foundation during lower magnitude testing. Furthermore, higher magnitude testing can provide a means to evaluate the accuracy of design end bearing calculations.

Jan 1, 2006

By Leonello Sciacca

Deepening of harbours has become a priority, necessary to the ongoing operation of the wharves in the face of deeper draft merchant vessels and cruise ships. It is now standard practice in many areas to provide for harbours to be dredged to significant depths below mean sea level, in the order of 12.00 m (39 ft) for existing berths and 15.00 m (49 ft) for new wharf construction. The Ravenna Port Authority initiated a project to deepen the harbour bottom at selected wharves to a depth of 12.00 m (39 ft). In preference to reconstruction of the wharves with longer and heavier sheet piling or other equally disruptive reconstruction, they identified the structural reinforcement of the existing wharves by means of deep underwater tie rods as a possible alternative cost-effective solution. Having defined the design concept, effort was concentrated on developing the required technology. A technique, already in use for the installation of tie rods by means of robotics, was identified as potentially suitable for underwater use. It was decided to carry out the fine tuning and the evolution of the technology for a marine environment of the robot unit and of the related remote control software that controls the installation of the tie rods. An experimental test site was set up to refine the drilling, installation, grouting, monitoring and testing of underwater tie rods. The purpose was to confirm the feasibility of the proposed solution and the reliability of these tie rods for use in the reinforcement and construction of wharves. The paper also discusses the theoretical and experimental study of underwater tie rods dealing with the theoretical analysis of the interaction between tie rod and soil, aimed at identifying the correlation between the forces of applied traction and the corresponding measured elongations. A series of tests were carried out with positive results, both at the operating load of 300 kN (67 kips) and at the nominal maximum load of 630 kN (142 kips). The tests were carried out on seven tie rods, of which three were installed at a depth of 5.00 m (16 ft), principally to test the reliability of the operating and remote control systems in the presence of a significant hydrostatic pressure, and four were placed at a depth of 8.00 m (26 ft) to check the load bearing capability of the tie rods positioned at the depth called for by the current project.

Jan 1, 2011

By Mark Maday

As part of the I-94 North-South Corridor reconstruction program, the Wisconsin Department of Transportation (department) is reconstructing the Mitchell Interchange in Milwaukee, Wisconsin. Located on the south side of Milwaukee near Mitchell International Airport, The Mitchell Interchange interconnects I-94, I-43 and I-894. Reconstruction began in 2009 with the letting of the first advance contract for local crossroad bridge reconstruction. A second advance contract for construction of collector-distributer roads on each side of the I-94 mainline was completed in 2010. The main contract involving reconstruction of the core of the Mitchell Interchange was let in the summer of 2010, and is scheduled to be completed by the end of 2012. The core contract includes construction of three cut and cover tunnels along two system interchange ramps. Construction of the three tunnel structures is on the critical construction path. The contract includes an interim contract completion date that requires the tunnels to be open to traffic by the end of 2011. A top down method of construction using drilled shaft secant piles for the sidewalls of the cut and cover tunnel structures was selected as the preferred structure type to address subsurface and construction schedule challenges. The department identified in pre bid coordination that no cost reduction incentives would be reviewed or accepted for changes in tunnel wall type. A major component of the tunnel structures requires the installation of 1,500, 4-foot diameter secant piles. This paper presents mitigation strategies to manage construction risks associated with the installation of the secant piles including; prequalification of the secant pile subcontractors, requirement for use of full depth temporary casing, a site specific quality control plan, specifying drilling equipment, and developing a geotechnical baseline report for this critical component of the Mitchell Interchange reconstruction project.

Jan 1, 2011

By Bernard H. Hertlein

All methods of deep foundation construction present challenges to the contractor and engineer that vary according to the method employed, and the geotechnical conditions in which it is being used. Augered-Cast-In-Place (ACIP) piles are generally regarded as one of the most challenging, because the construction method precludes the use of traditional shaft inspection and quality control techniques. Application of Nondestructive Test (NDT) methods can provide quality control for ACIP shafts that traditional methods cannot, but each NDT method has limitations. These make some NDT methods unsuitable for use on ACIP shafts, and may limit the effectiveness of others, depending on geotechnical conditions. To help contractors and engineers working with ACIP piles select the test method most appropriate to specific site conditions, this paper presents a summary of the major NDT methods currently available, and reviews their capabilities with respect to the unique conditions presented by ACIP pile construction. Case histories illustrate how a combination of careful method selection, skilled data interpretation, and experienced engineering judgment have resolved problems and ensured quality in foundation construction by discriminating between potentially serious defects, and those that are unlikely to be significant.

Jan 1, 1997

By Joel Moskowitz

In 1990, the United States General Services Administration (GSA) issued a contract for design and construction of a new federal court building in New York City. Mueser Rutledge Consulting Engineers (MRCE) served as Project Geotechnical Engineers. The project site is in the historic government district at Foley Square. It is surrounded by the New York County Courthouse to the west, an existing federal prison building and federal courthouse across Pearl Street to the south and southwest, an office structure to the north, and a residential tower to the east. The interior of the site was crossed by streets which have now been demapped. As with many urban sites, this site was previously occupied by tenement buildings or industrial structures demolished near the turn of the century. Remains of old building foundations were exposed during construction excavation. In addition, buried fuel oil tanks servicing the adjacent courthouse were removed and the usual assortment of urban utilities had to be relocated for the new building foundations. Ground surface elevations vary from about 4.5 to 6 m above the local Mean High Water Datum Plane.

Jan 1, 1996

By J. Matos e Silva

"Abstract The paper refers five examples of executed diaphragm walls with one to five levels of anchorages. For each example a comparison is made between the results of the design using the traditional criteria and the ones obtained by using the Eurocode 7 and the Portuguese Norm related to the EC7 (NP EN 1997-1 2010), as the Eurocodes consider the possibility of each European country to adopt their own geotechnical parameters as these may vary from one country to another. A comparison is also made with the behaviour of these diaphragm walls during its construction phase; so the values from the design that were adopted in the construction are listed in tables 2 to 6 in the “Construction Options” columns. From the referred examples the author presents his conclusions.1 - INTRODUCTIONIn the so-called “traditional criteria” the soil parameters (dry unit weight, angle of internal friction and cohesion) have values obtained through tests or empirically. It is assumed that the characteristic values of the soil parameters adopted in Eurocode 7 are equal to the soil parameters adopted in the calculations by the “traditional criteria”. In the present paper the design according to the EC7 was made considering only the ultimate limit states and the respective Cases A1 and A2.The partial coefficients used for the actions in the present paper were those on Table 1:2 - CONSIDERED EXAMPLESThe five examples correspond to the situations of figures 1 to 5, and the respective results are summarized in tables 2 to 6.For all the considered examples, that are case histories, a simplified method published by Matos e Silva (March 2000) was adopted. This method attains good performances when compared with other more sophisticated ones as the finite elements and the elasto-plastic methods as described in a paper published by Matos e Silva (2000). All the obtained values were compared between them and with the so-called “Construction Options” that were the values adopted by the designers of the considered examples. For the wall bottom length calculation two possible situations were envisaged:"

Jan 1, 2014

By Robert A. Field

Static-Load Piledriving utilizes a hydraulic push to facilitate the installation of a pile. The pile is not rotated, impacted or vibrated. A smooth pushing force advances the pile incrementally into the ground. Static-Load devices must have a reaction mass to push against. The most simple form of a Static-Load device is a jack; more advanced equipment, such as the Still Worker, also utilizes this approach. This paper focuses on the use of the Still Worker on three challenging projects. In each case, the existing site conditions made it risky, or unattractive, to utilize conventional impact, vibratory, or drilled-shaft equipment.

Jan 1, 1997

By Ashutosh S. Dhar

Cast-in-place piles were examined in this paper from the viewpoints of construction quality, axial capacity, and load-displacement responses. The results of ten 450 mm diameter (18? f) bored piles, installed in a soil deposit of silt to medium dense sand using the method of percussion drilling, were tested under static loads. The results of the pile load tests were used for evaluation of various design methods of calculating pile capacity. The study revealed that the design methods based on the concept of critical depth underestimated the ultimate skin fiction. Thus, the applicability of the critical depth concept for design of bored piles under the soil condition considered may be unreliable. The estimated skin friction factor, ß, was too low in these methods. The Tomlinson method and the Neely method provided the best prediction of the ultimate skin friction. The methods used for calculating end bearing resistance were found to provide a conservative estimate of the resistance. During pile load tests, a settlement of 5 to 6 mm was required for full mobilization of skin friction for the piles in loose sand, while larger settlements (> 10 mm) were required for piles in denser soil. The ultimate skin frictional resistance was observed to be low for piles in loose sand.

Jan 1, 2006

By Mark R. Svinkin

This paper deals with application of the wave equation analysis to determine capacities of piles driven in saturated sandy soils. It shows that pile capacity in sandy soils changes with time after the completion of pile driving and depends on the ground water elevation. In saturated sandy soils the setup coefficient ranges between upper and lower curves represented by power functions. For a reliable prediction of pile capacity wave equation input should be adjusted with soil damping. Back calculation of soil damping from known pile capacity performed for five tested piles shows that skin damping coefficient changes with time in the same manner as the pile capacity and can be represented by the power functions for considered damping models.

Jan 1, 1995

By Jogeshwar P. Singh, Aser I. Abbas, Mohamed Ashour

The presented methodology predicts the pile head response (i.e. pile head load - displacement curve) and develops the load transfer (t-z) curve of piles in sandy soils under tension forces based on soil/pile properties and soil-pile interaction. The proposed approach improves the prediction of the t-z curve in sandy soils compared to current practice. The method employs a nonlinear soil constitutive model to calculate the mobilized shear stress/strain in soil at the soil-pile interface induced by pile upward displacement. The approach accounts for the influence of the pile slenderness ratio on the predicted t-z curve and is validated through comparisons with measured pile head response and t-z curves from full-scale pile load tests. INTRODUCTION Piles may be subjected to axial uplift forces due to either static loading or cyclic loading. The majority of methods are only concerned with the pile ultimate tensile capacity. However, the mobilized pile stiffness (i.e., pile-head load-displacement relationship) is essential to determine the interaction between the foundation and the superstructure and consequently the performance of the whole structure. Methods that assess the pile ultimate tensile capacity usually assume the failure surface at the soil-pile interface and estimate the local side shear resistance using a lateral earth pressure approach. The Naval Facilities Engineering Command (NAVFAC 1986) and the US Army Corps of Engineers (USACE 1991) employed Eq. 1 to assess the ultimate shear stress (τ) developed at the soil-pile interface.

Jan 1, 2018

By Timothy L. Roberts

For many years practicing geotechnical and structural engineers in Texas and Louisiana were reluctant to include augered cast-in-place (ACIP) piles as a viable deep foundation alternate. Three primary concerns were the lack of a final driving resistance to confirm adequate capacity, the inability to inspect ACIP piles prior to installation, and the fact that pile integrity is highly dependent on the skill of the ACIP pile contractor's field personnel. The Deep Foundations Institute (DFI) Committee on Augered Cast-In-Place Piles has responded to these quality control concerns by establishing standards of practice for ACIP pile installation and ACIP pile inspection. Regional areas of the country have different subsurface soil and rock conditions and many times this will influence local installation and inspection requirements. The best way structural and geotechnical engineers can address quality control concerns is to be familiar with the DFI standards of practice, to know the special requirements for a particular project site, and to incorporate them into a well-written ACIP pile specification. The purposes of this paper are to: 1) review the main fundamentals of a successful quality control program, 2) describe how these fundamentals can be applied to the installation of ACIP piles, and 3) add personal experiences from ACIP pile projects in Texas and Louisiana. Nondestructive test methods are frequently used as a quality control tool to evaluate questionable piles. An additional brief discussion of two nondestructive test methods is presented to complete the paper.

Jan 1, 1998

By Jared M. Green

This paper presents the wall stabilization design and implementation for a 541 linear ft masonry and concrete gravity-type retaining wall flanking the west perimeter of a 7.37 acre parcel in Bronx, New York. This paper will discuss the results of static and dynamic stability analyses performed for the pre- and post excavation phases for the proposed 300 ft wide open-cut of up to 14 ft of contaminated soil below the toe of the retaining wall. The wall stabilization consisted of over 74 inclined drilled and grouted anchor dowels, and 55 tiebacks drilled and grouted to the underlying mica schist bedrock. Three over-lapping rows of jet grout columns were chosen as the foundation solution for the existing retaining wall. This paper focuses on the design, construction and performance of the jet grout curtain wall. The jet grout wall served three purposes: 1) underpinning and excavation support for the removal of contaminated site soils, 2) permanent hydraulic barrier, and 3) resistance against a deep seated failure within the thick clay layer present at the site. The originally designed jet grout wall had unexpected negative effects to the existing retaining wall. The jet grouting program was modified while the Observational Method (Peck 1969) was employed to keep wall movements to a minimum. This paper discusses the diagnostic methods used to determine the cause of retaining wall movement; the implementation of a remedial ground improvement program; the modification to the jet grout installation procedure; and the ultimate performance of the jet grout wall.

Jan 1, 2011

By Karl A. Higgins

In 1976, Prof. G. G. Meyerhof published a famous article in the Journal of Geotechnical Engineering titled ?Bearing Capacity and Settlement of Pile Foundations?. This article presents the authors opinions on calculating pile capacities in clays and sands, group capacities and pile settlement. A portion of the article presents correlations of shaft friction and end bearing to the Standard Penetration Test (SPT) N-value. Subsurface exploration via the Standard Penetration Test is the most widely used exploration tool in the United States, so correlations of pile capacity to N-value are significant to the practice of geotechnical engineering. Meyerhof?s SPT-N correlations are relatively simple calculations compared to other pile capacity computation methods presented in the article or found in other text books (such as the a-method, b-method, Nordlund, Vesic, Meyerhof?s semi-empirical, others) and therefore are popular amongst practicing geotechnical engineers. At the time these correlations were published by Prof. Meyerhof, utilization of dynamic testing with the Pile Driving Analyzer (PDA) was not widespread in geotechnical engineering practice. Prof. Meyerhof?s correlations appear to be based upon conventional static pile load testing of instrumented piles. Dynamic pile measurements to estimate a pile?s static capacity provides certain advantages over conventional static load testing, namely the determination of unit shaft friction values at discrete intervals along the pile, and the unit end bearing support value. The author has compiled a database of driven, displacement piles tested with dynamic methods (ref. ASTM D4945, Test Method for High-Strain Dynamic Testing of Piles). The data was collected between 2002-2010 and is comprised of displacement piles driven into coastal plain sediments in the mid-Atlantic states of Virginia, Maryland and the District of Columbia. In layered soils, dynamic testing in particularly helpful as it reveals the differences in unit shaft friction for varying soil types. One hundred ninety (190) piles are included in the database, with a corresponding 1,373 discrete shaft friction and 190 end (toe) bearing measurements. The pile type typically consisted of 12 and 14 inch square, prestressed, precast concrete piles; however, a significant number of piles were steel HP 12 or 14 inch sections. The database was sorted based upon soil type, and then correlations of shaft friction and end bearing were derived in the same or similar manner as Meyerhof?s original 1976 publication. The new correlations are compared to Meyerhof?s original values.

Jan 1, 2011