Reeled Mechanically Lined Pipe: Cost Efficient Solution for Static and Dynamic Applications in Corrosive Environment

Size: px
Start display at page:

Download "Reeled Mechanically Lined Pipe: Cost Efficient Solution for Static and Dynamic Applications in Corrosive Environment"

Transcription

1 Reeled Mechanically Lined Pipe: Cost Efficient Solution for Static and Dynamic Applications in Corrosive Environment Sylvain Denniel Technip Aberdeen UK Tomasz Tkaczyk Technip Aberdeen UK Aurelien Pepin Technip Aberdeen UK Abstract Mechanically lined pipe is composed of carbon steel and a thin internal layer of corrosion resistant alloy (CRA). In contrast to clad pipe, where carbon steel and CRA are bonded metallurgically, the two layers are adhered by means of interference fit, in a lined pipe. Although susceptible to liner wrinkling when bent, lined pipe offers more attractive procurement cost and shorter lead time. To address an increasing demand for subsea transport of corrosive constituents, Technip proposed a design of lined pipe, which enables reeled installation under atmospheric pressure without the risk of wrinkling of corrosion resistant lining. In contrast to the method where internal pressure is used to enable reeling, standard reeling operation procedures are used for safe and reliable installation of the Technip lined pipe with an appropriately selected liner thickness. The Technip design was patented and qualified following the procedures in DNV-RP-A203. The solution, which was endorsed by DNV in 2011, will be installed for the first time in the UK sector of the North Sea in Lined pipe is a superior alternative to chromium stainless steel pipe for deep water high pressure/high temperature steel catenary risers (SCR). The alloy liner materials have an excellent fatigue performance in sour environments. In addition, lined pipe does not suffer from significant strength reduction at high temperature. To extend the field of application of reeled lined pipe, large scale bending and fatigue trials have been carried out on pipes with alloy 625 liner. It has been shown that the Technip lined pipe is suitable for demanding SCR service post reeled installation. This paper discusses the qualification of lined pipe for reeling and the follow up qualification programme, where reeled lined pipe was qualified for SCR service. In addition, the cost advantage of line pipe compared to other corrosion resistant solutions is discussed. Introduction The development of subsea fields, characterised by the presence of highly corrosive fluids, is a worldwide growing trend, both in shallow and deeper waters. Chromium stainless steel Page 1

2 pipes, e.g. 13%Cr to 25%Cr, are typically specified, leading to a significant increase in the procurement cost of the pipe work. Bi-metallic pipe, where an external carbon steel pipe hosts a thinner internal Corrosion Resistant Alloy (CRA) liner, is an attractive alternative for a range of technical and economic reasons. The two main bi-metallic pipe products available are metallurgically bonded clad pipe, commonly called clad pipes, and mechanically lined pipes, known as lined pipes. Each product is strongly differentiated from the other by their process of fabrication, which also leads to differences in procurement costs and delivery schedule. Lined pipe generally emerges as the most cost attractive design solution, as will be discussed later in this paper. It is no surprise that a subsea track record of such pipe, installed with low strain installation techniques such as S-lay, does exist. On the other hand, guaranteeing integrity of the product using the faster Reel-lay method, has long been perceived as a challenge within the industry, due to concern of liner wrinkling, when the pipeline is subjected to multiple plastic deformation events. In the past years, Technip developed and qualified a design suppressing such a risk, while ensuring that the operation still occurs at atmospheric pressure, as for any other pipeline installation operations. The design has been endorsed by DNV in accordance to the RP-A203 qualification process for new technology [1], for both static flowlines and dynamic SCR applications. The reel-lay installation of the first static flowline is scheduled for summer 2013 in the UK sector of the North Sea. Introduction to Mechanically Lined Pipe A mechanically lined pipe is a bi-metallic product, which includes an external carbon steel pipe and an internal CRA liner. The essential function of the host carbon steel pipe is mechanical strength. The function of the liner is corrosion resistance. There is a wide range of liner materials that can be specified, as a function of the corrosive nature of the fluid to be transported, i.e. alloy 316L, 904L, 825 or 625. Lined pipes have no metallurgical bond but an interference stress between the carbon steel host pipe and the CRA pipe, which is induced by the manufacturing process. The process of fabrication of a mechanically lined pipe is relatively fast once both host pipes and internal liners have been procured. A number of companies are commercially proposing such product and although their procedure of fabrication can differ in the details, the general principle of manufacture remains the same: First the liner is inserted inside the host pipe. The insertion gap between the carbon steel pipe bore and the liner outer surface is a parameter of importance. Certain manufacturers will choose at this stage to seal weld the liner to host pipe interface at both ends. The liner is then subjected to a controlled expansion operation, using either mechanical tools or hydro-forming, during which the liner is plastically deformed. In a first step, the liner outer surface comes in contact with the host pipe inner surface. As the liner diameter is further increased, the host pipe diameter is also expanded. Most manufacturers control the expansion to ensure that the outer pipe only experiences elastic deformation. However, some consider a slight plastification of the outer pipe, as part of a displacement controlled process. Others have also included heating of the outer pipe prior to expansion, as part of its general process. This allows higher interference fit to be achieved. Page 2

3 The expansion operation is then stopped and both liner and outer pipe are relaxed. However, as the internal liner has been subjected to plastic deformation, its diameter remains in excess of the initial inner diameter of the host pipe. This results in residual hoop stresses, tensile in the host pipe and compressive in the liner. As a consequence, an interference stress between the two metallic layers develops. The magnitude of this mechanical bond is a function of the relative strength of the host pipe and the liner as well as the expansion process undertaken by the manufacturer. Figure 1 illustrates the general principle of expansion and relaxation. The end termination of the bi-metal pipe can be completed by end seal welds between the two layers. However, it is preferred to terminate the pipe ends by an overlay section long enough to enable girth weld repair and inspection, during the pipeline assembly phase. Alloy 625 is typically considered for overlay. A particular point of focus is the liner to overlay transition, for which details of design, welding procedure and inspection method can influence the performance of the product in dynamic SCR conditions. (a) (b) (c) Hoop stress Host pipe Liner A B Hoop stress A B Hoop stress A B C Diameter C Diameter C Diameter Figure 1 Comparison of Different Manufacturing Processes for Mechanically Lined Pipes The manufacturing process must ensure that there is no moisture ingress into the annulus at any stage as this may lead to an explosive phase change during pipe coating at a high temperature, and consequently, collapse of the liner. Once delivered at the spoolbase, the pipe joints are welded together into stalks and inspected. Well established procedures are used which have already been implemented on plastic lined pipe stalk tie-in welds on 14 reeling projects to date or on reeled clad pipe projects [2, 3, 4], over approximately 60 km of cumulative length to date. Development of a Reeling Friendly Design at Atmospheric Pressure When deciding to develop and qualify a lined pipe design that is compatible with reel-lay installation, the ability to pipe-lay at atmospheric pressure was identified as a key operational requirement. Initial development efforts considered reeling of the lined pipe while an internal pressure was maintained in the pipeline bore as a liner wrinkling prevention measure and a methodology was subjected to a patent application. However, added constraints on operational schedule, logistics and reliability, as well as increased vessel pay-load, were considered as significant enough to prioritise a working solution at atmospheric pressure. The qualification process for new technology, as outlined in DNV-RP-A203 [1], was implemented in order to qualify lined pipe products for reeling installation. According to this Page 3

4 process, a basis of design for qualification is first defined, clearly specifying the boundary of application of the technology for qualification. The exercise continues with the review of technology readiness of different components of the system. A philosophy of design for qualification is then defined and a detailed qualification programme is finally established. Once the planned analyses and testing scope are complete, results and findings are summarized in a technology qualification report. A certificate of fitness for service can be issued by DNV following successful review of that report. For the purpose of the assessment of the readiness level of the technology, the system was divided into two main zones. The weld region includes the girth weld and the lined pipe ends, terminated with clad overlay. The pipe body region includes the liner to overlay interface, as illustrated in Figure 2. Pipe body region Weld region Pipe body region Host pipe Liner Liner to clad transition Girth weld Clad overlay weld Figure 2 Longitudinal Section of Mechanically Lined Pipe Weld Regions and Pipe Body Regions It is not intended in this paper to review in detail all the aspects of the readiness levels, which are discussed in [4]. However the following major findings of this review included: The weld region of lined pipes was considered to be pre-qualified in principle for reeling. As previously mentioned, there is a strong track record of welding, inspecting and reellaying of bi-metallic pipes. In particular, the overlay profile of a plastic lined pipe at tiein points is identical to the pipe end profile of a mechanically lined pipe. Liner wrinkling is the main issue. Outwith the weld region, the lined pipe main body was not considered qualified for reeling at the time of the technology review. Although most aspects listed previously were considered as qualified, wrinkling of the liner during high strain multi cycle bending was identified as the principal concern. An improvement of the existing lined pipe design was required to allow compatibility with the reel-lay installation method. This design improvement is the essential novel element of the qualification exercise. Based on the above, a main focus of the initial qualification effort was to develop a methodology to suppress this risk of liner wrinkling. In order to develop a philosophy of design that would enable reelability of the mechanically lined pipe, it was first necessary to fully understand the wrinkling phenomenon, its driving parameters and more importantly, the parameters preventing it. In order to better comprehend the liner wrinkling phenomenon, it was decided to carry out an experimental program in parallel to a series of Finite Element (FE) based analyses. The Page 4

5 testing program essentially consisted of subjecting a series of standard mechanically lined pipe strings, i.e. not specifically designed for reeling, to conditions significantly harsher than a standard reeling operation. The appearance of wrinkles of non-negligible size was therefore expected. Calibration of the FE model, inclusive of all steps of manufacture of the mechanically lined pipe, was the basis for a sensitivity analysis to define a reeling friendly design. Experiment The pipe strings prepared for the initial experimental phase were OD x 15.9 mm wt, X65 API grade host pipes, with 2.8 mm thick alloy 316L liners. It is to be noted that all test strings were subjected to a thermal cycle at 250ºC during coating application. This operation is known to reduce the interference stress generated during the lining process. Some of the test strings also included a CRA girth weld at mid length to investigate the liner behaviour in the vicinity of the weld. The testing sequence included the following steps: The test pipes were subjected to five symmetrical bending/reverse bending cycles, which is equivalent to two and a half times the full reel-lay sequence. A 7.84 m radius former was selected, despite the smallest radius on the Technip reel-lay vessel fleet being 8.23 m. As planned, this bending regime produced high magnitude wrinkles, which were closely monitored during the bending trial using a laser profiler. The results were converted into 3D liner impressions as shown in Figure 3 (a). No visible wrinkle growth was observed in the vicinity of the central CRA girth weld Pressure testing of the pipe strings was then carried out, in order to assess the effect of internal pressure on wrinkle height. This was measured post hydro-test, using the same surveying technique that was used during the bending trial phase. An internal hydro-test pressure of 39 MPa reduced the wrinkle height but was unable to remove wrinkles to a level whereby the liner returned to its original geometrical condition, see Figure 3 (b). Although the liner was subjected to severe plastic deformations during multi cycle bending and subsequent pressurisation, post-mortem examination revealed no damage to the liner (e.g. no fracture, cracking or signs of plastic collapse). Figure 3 Comparison Laser 3D Visual Profiles a) Post Reeling (Left) and b) Post Hydro-Test (Right) Page 5

6 Finite-Element Analysis All steps of the manufacturing process, including coating application simulation, and subsequent multi cycle bending and pressurisation of lined pipes, were simulated using ABAQUS. The model, as described in detail in [4], used first-order shell elements with reduced integration and kinematic hardening material models to provide a very accurate prediction of the lined pipe behaviour. Comparison of Full Scale Test Results and FE Analyses The FE predictions of wrinkle height at the 6 and 12 o'clock positions were compared with the test results. As shown in Figure 4, the FE predictions (indicated with a solid line) were in remarkable agreement with the measured wrinkle heights, hence validating the FE model. The 6 o'clock position is in compression, when on the reeling former, and in tension, when on the straightening former. In contrast, the 12 o'clock position experiences tension and compression on the reeling and straightening former, respectively. There are four stages in each bending cycle, i.e. bending on the reeling former, relaxing, bending on the straightening former and relaxing, totalling 20 stages in the bending trial. Stage 21 in Figure 4, corresponds to a condition after the hydro test. Up to three wrinkles along each test string were measured at a given stage using the laser profiler. The heights of wrinkles measured in the test strings with and without the central CRA girth weld are indicated in Figure 4 with open and closed symbols, respectively. (a) nd cycle 3 rd cycle 4 th cycle 5 th cycle (b) Straightening Straightening Wrinkle height (mm) st cycle Wrinkle height (mm) st cycle 3 0 Straightening Straightening Straightening Stage nd cycle 3 rd cycle Figure 4 Wrinkle Height Profiles 6 o clock (a) & 12 o clock (b) 4 th cycle 5 th cycle Stage The wrinkle height, h, increases rapidly at the 6 o'clock position when the first compressive strain is applied during bending on the reeling former (stage 1 in Figure 4). During the subsequent bending of the pipe string on the straightening former (stage 3 in Figure 4), h is reduced at the 6 o'clock position due to tensile straining, while h grows rapidly at the 12 o'clock position, which is in compression. This behavioural trend is also observed during subsequent bending cycles. However, after the second bending cycle is completed (stage 8 onwards), only a small difference between wrinkle heights at the maximum compressive strain is observed in subsequent bending cycles, suggesting a stabilisation of the wrinkling phenomenon. The maximum wrinkle height after five bending cycles (stage 20) was measured as 7 mm at the 6 o'clock position (last in tension) and 20 mm at the 12 o'clock position (last in compression). The internal pressure, which was applied following bending, reduced h to a maximum of 8 mm and 1.5 mm at the 12 and 6 o'clock positions, respectively. It appears, therefore, that small wrinkles can be removed by a typical hydro test pressure. Page 6

7 Larger wrinkles, however, cannot be flattened out even by internal pressure close to the pipe burst capacity. Further parametric studies with the validated FE model allowed identification of critical parameters which may influence the onset of wrinkling and subsequent wrinkle growth. Under multi cycle plastic bending, the wrinkle size may depend on liner dimensions (D/t ratio), nominal bending strain (ε b ), number of bending cycles. The interference stress appears to play a role in the first bending cycle. However, as it reduces as a result of plastic deformation, its influence decreases sharply in subsequent bending cycles. To a certain extent, it can be argued that the interference stress only delays the onset of wrinkling rather than prevents it. Design Philosophy A design improvement of the liner was established on the basis of the following philosophy to enable reelability of the lined pipe at atmospheric pressure. Within the pipe body, wrinkle initiation is avoided by choosing an appropriate D/t ratio of the liner. An extensive parametric study was carried out using the validated FE model to examine the effect of host pipe and liner geometry, yield strength variations, wall thickness variations and manufacturing/installation parameters on liner wrinkling. This philosophy led to the definition of a formula establishing an appropriate D/t ratio of the liner to avoid the risk of wrinkling regardless of the lined pipe manufacturing method. Although high interference stress is beneficial, the novel design adopted the prudent approach not to rely on it. Firstly its magnitude may vary significantly between pipe joints and within each pipe joint. It is therefore difficult to guarantee a high enough interference stress value for design purposes. Furthermore, as previously discussed, the FE parametric studies have shown that interference stress may be negligible, as first relaxed during coating application and then further reduced during subsequent plastic straining events. The philosophy of design and associated lined pipe design improvement, as presented above, is now the object of a patent application. A comprehensive full scale qualification programme has been completed successfully on a range of pipe strings of different sizes, liner grades and produced by different suppliers. The robustness of the approach has been fully demonstrated and a statement of fitness for service was issued by DNV in April The highlights of this qualification programme are presented in the following section. An Extensive Qualification Programme for Both Static and Dynamic Applications Static Seabed Applications To validate experimentally the benefits of the optimised liner thickness, reeling simulations were undertaken on 6.625, 8.625, and OD lined pipes, which were manufactured to Technip s specifications by a number of lined pipe suppliers. The effect of coating application on interference stress was accounted for by systematically subjecting test pipes to a thermal cycle, representative of conditions experienced by a pipe joint during application of external coating at a temperature of up to 250 o C. Pipes with and without girth weld were tested to assess the effect of the CRA girth and clad overlay welds on the liner behaviour in its vicinity. Although reeled lined pipes are normally subjected to two bending cycles during installation, up to seven bending cycles were applied during a series of reeling simulation campaigns. Here, a bending cycle is defined as bending onto a reeling former, Page 7

8 followed by bending onto a straightener former and finally relaxing. No visible wrinkles or any other form of liner damage were observed visually nor by laser measurement during bending of the lined pipes detailed in Table 1. Inspection included visual inspection at different steps of reeling, laser inspection over a representative 1m long section of each lined pipe and post-mortem inspection of cut pipe sections. Pipe Diameter (mm) Host Pipe Material Liner Material Former Radius (m) ε b Number of Cycles X65 Alloy 904L 8.23 ± 1.00% 3 to X60 Alloy 316L 8.23 ± 1.31% 5 to X65 Alloy ± 1.38 % 4 P-SC X65 Alloy ± 1.63 % X65 Alloy 316L ± 1.52% 3 to 6 Table 1 Summary of Reeling Simulations Test Series P = perpendicular reeling simulation, see description later in this paper SC = Strain capacity limit test, see description later in this paper In one particular instance, it was decided to undertake repeated reeling cycles of a pipeline string, whereby an obstruction was applied onto the reeling former to intentionally generate lifting of the pipeline from the former and leading to a localised strain concentration, see Figure 5. The intent of such testing was to reproduce the consequence of the statistically very unlikely event of two adjacent pipe joints of significant difference in plastic moment capacity (a relevant mismatch feature, which would be outwith normal project acceptance criteria). Following each bending cycle applied, an increasingly more pronounced local obstruction was positioned onto the former. Such incremental tests were conducted until first signs of wrinkling were obtained. In the context of that test, these were only witnessed once the host pipe was also experiencing early sign of buckling. This experiment highlighted the robustness of the design methodology as it demonstrated that wrinkles could only be envisaged in a situation where the host pipe was itself about to buckle. The standard design practice of the host pipe negates risks of such a buckling event to occur. As a matter of fact, as will be discussed later in this paper, the design cases where a mechanically lined pipe is most likely to be selected are for pressure governed cases. In this instance, the buckling of the host pipe is very unlikely as it is much thicker than the minimum reelable wall thickness. The authors also decided to test the scenario of a pipeline first spooled onto a storage facility, used for transport from the spoolbase to a site closer to the offshore field, and subsequently trans-spooled onto the reel-lay vessel for installation. To conservatively simulate this approach, which was implemented on the Snohvit field in 2004, the pipeline test strings were subjected to two bending cycles in one plane, followed by two other bending cycles in the perpendicular plane. No wrinkle was found at the end of this exercise. Page 8

9 Figure 5 Simulation with Local Obstruction Another reeling simulation was undertaken to capture the margin of the lined pipe design in terms of nominal bending strain. The pipes were subjected to repeated reeling simulations, with reeling formers radii incrementally decreasing, from the storage drum radius of 9.75 m for which the pipe was designed. Repeated reeling cycles were carried out down to a former of 5.5 m, until first signs of onset of wrinkling were witnessed. The nominal reeling strain experienced was 1.77 times the nominal design reeling strain. It is worth highlighting that the test strings used for this experiment had previously experienced not only the perpendicular reeling simulation described in the previous paragraph but also a full scale fatigue test which was stopped, once the number of cycles subjected exceeded the targeted DNV-RP-C203 [5] C curve threshold. This fatigue test programme is discussed later in this paper. In Service Simulation It is known that the thermal expansion coefficient of the CRA liner material is typically greater than that of the carbon steel pipe. This implies that when subjected to temperature, the liner would have the tendency to expand more than the host pipe and therefore that a longitudinal compression stress may develop in such liner. It was decided to demonstrate that the reeling friendly mechanically lined pipe design was not at risk of wrinkling in the critical in-service scenario of rapid depressurisation of a pipeline experiencing a lateral buckle, for which the temperature loading is still exercised. After successful installation tests, where the and lined pipes were subjected to thermal cycles and reel-lay installation simulation as previously described, all specimens were subjected to a hydro-test to simulate pre-commissioning. Each test string was then tested in a four-point bending configuration as shown in Figure 6. A total of 20 bending cycles with a maximum strain of 0.5% were applied to each pipe to simulate the scenario of a pipeline subjected to several lateral buckling events. During cyclic bending, the test strings were subjected to internal heating so that the liner inner surface remained at 150 o C for the duration of the test. Page 9

10 Each test cycle comprised of the following steps: Apply an internal pressure of 10 bars, Subject the pipeline to a bending strain of 0.5% at the pipe intrados Unload the pipe to a bending strain of 0.3 % Release the internal pressure to atmospheric level the pipe to a straight configuration. Internal inspection of the liner was carried out every five cycles and no indication of wrinkle formation was ever found. Figure 6 In-Service Testing (Left) and Liner Profile Post Testing (Right) No Wrinkle Generated Dynamic Riser Applications Reel-lay can be an attractive rigid riser installation method because the speed of installation minimises the time of the pipe-lay vessel in the vicinity of the topside, but also because the full riser section can be assembled and integrity tested in a factory-like environment, onshore, away from the critical path. As such the reel-lay method has been selected to install a range of dynamic riser systems such as Steel Catenary Risers (SCR), Lazy Wave Steel Riser (LWSR) or Free Standing Hybrid Riser (FSHR), where a vertical rigid riser section, tensioned by a subsea buoyancy can, is connected to a dynamic flexible riser, which hangs from an FPSO. Technip began qualification of reeled SCRs in 1997 and installed the first reeled SCR in More than 30 reeled SCRs have been installed by both the Apache and Deep Blue reel-lay vessels since. Gray et al. [6] compiled the list of the first 25 reeled SCRs over 15 projects. The performance of this data-set is in line with or better than the BS7608 (1993) class D fatigue curve [7] which is equivalent to the DNV-RP-C203 [5] class D curve (up to 10 7 cycles). Internally clad pipes, typically girth welded using nickel-based alloys such as alloy 625, have been used in the industry for dynamic riser applications. Unpublished test results obtained earlier by Technip are in agreement with other industry publications [8, 9] that the fatigue strength of clad SCRs is enhanced by the use of such a nickel-based alloy consumable, which provides smooth root profile and lower crack growth rate. It was therefore a logical step to investigate the dynamic endurance of a reeled mechanically lined pipe for a dynamic riser design. Fatigue / Crack Initiation Sites SCRs are exposed to a combination of axial and alternating bending loads. Due to a radial gradient associated with the bending stress, the outer surface of a pipeline experiences larger Page 10

11 stress than the inner surface at the same location. In addition, the outer surface has the considerable geometric discontinuity of a weld cap acting as a stress raiser. Therefore, a weld cap toe, indicated A in Figure 7, becomes a likely location for a fatigue crack initiation to occur. Removing the weld cap by grinding and flapping to create a flush surface improves the fatigue endurance of SCR welds [6]. Girth weld Pipe (a) A (b) A Host pipe C B Girth weld Liner D B Clad overlay weld Figure 7 Probable Crack Initiation Sites - (a) Standard CMn Pipeline / (b) Mechanically Lined Pipe Due to a potential stress concentration, another likely location for crack initiation is a weld root toe, indicated B in Figure 7. Hence, the misalignment of the internal SCR surfaces (i.e. hi-lo) across a weld is preferably controlled by pipe sorting or internal machining of pipe ends. Typically, a maximum hi-lo of 0.5 mm is targeted for SCR welds [6]. Welds with low defect levels can be achieved using a readily available manual gas tungsten arc welding (GTAW) process. This process offers a consistently good weld root profile, which ensures small stress concentration and minimises the severity of inherent inclusions or crack-like discontinuities that may exist at the toes of a weld. The lower productivity GTAW process has, however, since been replaced by the high quality combined mechanised STT/GMAW welding process [6]. In the specific case of a mechanically lined pipe, although many similarities can be drawn with clad pipes, the liner to clad overlay transition locations C and D in Figure 7 have been identified as potential initiation sites for fatigue failures. As there was no published data on the fatigue performance of reeled lined SCRs at the time, the authors undertook a full scale bending and fatigue test programme, in order to determine the fatigue strength and the primary location of fatigue crack initiation in mechanically lined SCRs. The results were first presented in [10] and [12] and are summarised in the following section. Qualification Programme Dynamic Application The authors undertook the programme to qualify lined SCRs for the scenario of a pipeline experiencing reeling cycles in two perpendicular planes, as described earlier in this paper. Subsequently, the specimens were subjected to a full scale fatigue simulation in air, using the TWI resonance rig, at positive stress ratio and for three constant amplitude stress ranges. A more detailed description of the test procedure and results is documented in [10]. For the purpose of these tests, six OD carbon steel pipe grade API 5L X65, internally lined with alloy 625 were prepared and were all inclusive of a central CRA weld. Each lined Page 11

12 pipe section was terminated with a 50 mm clad overlay. SCR quality manual girth welds were prepared in the 5G position using the GTAW process, where 30 weld passes were deposited per weld using Special Metal FM 625 electrodes, manufactured to AWS A5.14 ERNiCRMo-3. The weld caps were ground flush after completion of girth weld. The primary inspection method was radiography. The perpendicular bending simulation was undertaken using a reeling former radius of 8.23 m. For the purpose of the resonance fatigue test, each specimen was pre-tensioned to a constant mean stress of 130 MPa. Three constant amplitude stress ranges, 120 MPa, 170 MPa and 220 MPa respectively, were tested on two pipe strings each, to achieve fatigue lives between 10 5 and 10 7 cycles. With a total of n=6 girth welds and n=12 clad overlay welds, it was possible to set statistically based target S-N curves, in accordance with the methodology derived by Maddox and Schneider, 2000 [11] to assess whether the DNV-RP- C203 [5] class D or class C performance was met for each weld. Fatigue tests were conducted until failure occurred or a specimen reached the run-out condition, defined as the number of cycles required to achieve a target C-Class S-N curve. The fatigue test results, shown in Figure 8, are presented in terms of the number of cycles to failure versus the stress range at the pipe outer surface. Stresses at the pipe outer surface have been calculated by interpolating between strain gauges readings. No stress concentration factor (SCF) has been included. The results in Figure 8 are compared with the DNV-RP-C203 C-mean and D-mean curves. In addition, the DNV-RP-C203 target curves for classes C and D are plotted in the figure. Figure 8 Fatigue Test Results Vs DNV-RP-C203 SN-Curves a) All Failure Locations (outer wall stress range at the position of crack initiation) b) CRA Girth Welds (nominal outer stress range) Most fatigue crack initiations occurred at the liner to clad overlay transition, three of which initiated from a small lack of fusion defect at location C in Figure 7. Once initiated, the embedded cracks grew both in the carbon steel pipe towards the pipe outer surface and in the CRA liner towards the pipe inner surface. Despite a smaller ligament in the CRA liner, the examination of fracture faces revealed that the embedded cracks had first reached the pipe outer surface, followed by their final growth in the direction of inner surface and pressure loss. Therefore, the lined SCR had an internal corrosion layer until the final failure. This can be explained by a lower fatigue crack growth rate of the nickel-based alloy used for the liner [10, 12]. The results for failures initiated at the liner to clad overlay transition are indicated Page 12

13 by the solid triangles in Figure 8 a). The fourth failure (indicated by a solid circle) initiated from a blemish at the pipe outer surface. Finally, specimens tested at the lower stress range reached the run-out condition without failure, and were used for further reeling simulation at tighter radii, to determine the safety margin in terms of strain capacity, as previously discussed. The fatigue test results for the liner to clad overlay transition in reeled lined pipe lie above the DNV-RP-C203 D target curve and possess a lower slope, see Figure 8 b). Therefore the fatigue strength of a reeled lined SCR is at least as good as the reeled carbon steel SCRs installed by Technip to date [6]. In addition the results of lined SCRs may be significantly better at low stress ranges ( 120 MPa), which would be more representative of actual SCR ranges. The fatigue performance of the reeled alloy 625 girth welds was also found to be excellent, in excess of the DNV-RP-C203 C/2 target. Since none of these welds failed, the fatigue endurance could be considerably greater. This finding is in line with previous experience of single-sided welds in clad pipes, see Wang et al. [8] for example. Furthermore, the internal pressure set for the test, in order to obtain positive R values, was relatively high. In many actual field applications, the pressure would be lower, hence leading potentially to negative R ratios, which would further increase the fatigue endurance of the girth welds for the high stress range, as tested in [8]. The full programme of testing work, alongside a further body of work highlighting the high fracture toughness of alloy 625 girth and clad overlay welds [12] was documented in a technology qualification report submitted to DNV. A certificate of fitness for service was issued in August 2012 by DNV, endorsing the suitability of the improved mechanically lined pipe for reeling for dynamic SCR applications. Cost and Schedule Incentives to Select Mechanically Lined Pipe The high fatigue performance of bi-metallic pipelines with nickel-based alloy girth welds has been discussed at length in the previous section. This is certainly not the only advantage of mechanically lined pipe over other full body CRA pipeline products. As a matter of fact mechanically lined pipe has a number of attractive cost and schedule arguments in its favour when compared with other metallic pipe solutions for the transportation of corrosive fluids. The most obvious attractions are generally lower procurement costs and shorter delivery schedules. Because of the simplicity of the manufacturing process, mechanically lined pipe tends to be significantly cheaper than hot rolled bonded clad pipe, with a cost ratio that can approach the order of two to three. There are a number of lined pipe suppliers available, irrespective of the pipeline outer diameter, whereas the supply of smaller diameter clad pipes is limited. Among the advantages of the mechanically lined pipe over full body CRA pipe is a wider choice of liner grades to choose from, as a function of the specification fluid to which the liner will be exposed. Furthermore, there is no length restriction for lower diameter mechanically lined pipes, in the order of OD, whereas CRA pipes may only be available in 6 m lengths in this diameter range, which would increase welding times and costs. Another attraction of mechanically lined pipe over full CRA pipes is the lower derating of the carbon steel host pipe, which provides the mechanical strength, in comparison to CRA grades such as 22%Cr or 25%Cr in particular, when exposed to higher temperature. Page 13

14 This is of particular relevance as a high proportion of field developments with corrosive fluids often display high temperature and often high pressure specifications, which govern the wall thickness design. Comparing pure procurement cost of a reelable mechanically lined pipe to that of a full body CRA pipe is sometimes not as straight forward as with clad pipe, as the relative cost will be dependant on the wall thickness governing factor, material grade selection and pipeline outer diameter. First a relevant comparison should consider selection of material grade (CRA and liner) on an equivalent basis, principally governed by the corrosion resistance. It is often the case where 13%Cr options are being specified against bi-metallic pipes with the most expensive 625 liner grade, whereas cheaper liner alternative such as alloy 825, 904L or even 316L may suffice. The improved design enabling the safe reeling of a mechanically lined pipe at atmospheric pressure is based on optimising the liner D/t to negate any risk of wrinkling when the pipe is subjected to plastic deformation. This implies that the greater the pipeline outer diameter becomes, the thicker the liner gets, with greater procurement cost repercussions, especially when the higher specification alloy 625 liner material is used. The D/t ratio of the liner will also be installation vessel dependant as the nominal bending strain associated with the reellay vessel is also a factor of consideration. Although there is no mechanical limit to the maximum diameter that one may consider for a reeled mechanically lined pipe, it is perceived that there would be a cost incentive threshold, somewhere between and 14 OD, depending on the installation vessel and the liner material Finally, the pipe wall thickness requirement for the pipeline is also a major factor of influence. If the pipeline wall thickness is driven by reeling, i.e. for low pressure containment and shallow water application, then a mechanically lined pipe may not be fully attractive on a pure procurement basis alone. This especially applies for smaller outer diameter pipes, for which the minimum reelable wall thickness is not significantly superior to a minimum specified liner wall thickness. On the other hand, as soon as the specified wall thickness increases, i.e. governed by burst or potentially collapse requirement, then the relative cost of mechanically lined pipe and of a full body CRA pipe is very much at the advantage of mechanically lined pipe. This is especially relevant for higher pressure and temperature pipelines, where temperature de-rating magnifies the difference, as previously discussed. The two last points are illustrated by Figure 9, which plots the relative cost of a CRA pipe to a mechanically lined pipe with a carbon steel host pipe of matching wall thickness. For the example in consideration, an alloy 825 liner material was selected to match corrosive resistance of a 22%Cr solid CRA pipe. The pipeline is designed to be installable from the Deep Blue vessel. Costs for a range of CRA pipeline wall thicknesses, from minimum reelable to thicker HP/HT pipelines are normalised against the equivalent wall thickness mechanically lined pipes, for outer diameters of 6.625, 8,625, and Page 14

15 CRA / MLP Min wt Mid range wt HP / HT Figure 9 Normalised Lined Pipe Procurement Costs 25%Cr CRA Pipe Vs 825 Lined Pipe Installation from Deep Blue To further illustrate a combination of the different cost incentives of selecting mechanically lined pipe over a full body CRA pipeline, it is proposed to consider the field case study of a Pipe-in-Pipe OD flowline, inside a outer pipe, transporting a particularly corrosive fluid at a temperature of 110 o C and a design pressure of 600 bar, to be installed in a water depth of 100 m. On the basis of material corrosion resistance alone, a 22%Cr would be pre-selected for the design. However, closer consideration of the in-service loading resulting from the design pressure and temperature, which affects the mechanical properties of the CRA pipe, leads to the selection of a more expensive 25%Cr material. An 18.3 mm thick pipe wall is necessary to meet the design requirement. It is known that procurement of such small OD, thick walled, 25%Cr is challenging and restriction of supply to 6 m long joints occurs, with unattractive delivery schedules. The joint length limitation implies doubling the number of welds, with obvious consequences on assembly line schedule and costs. An alternative solution is a mechanically lined pipe, for which the cheaper 904L liner material suffices to meet corrosion resistance requirement. In addition, it is possible to reduce the wall thickness of the host carbon steel pipe as it is less affected by temperature derating. More importantly, it is possible to source 12 m long joints with much shorter procurement schedules. When calculating the welded cost difference between the two options, it was established that a saving in excess of 50% is realistic, not taking into account the benefit of reduced project delays. Another advantage is the easier implementation of internally cladded carbon steel bulkheads. Indeed, no dissimilar metal welding issues are encountered, as the flowline interface is purely bi-metallic and the carrier pipe interface is purely carbon steel. Page 15

16 Conclusions A mechanically lined pipe design, which is compatible with the fast reel-lay method, at atmospheric pressure, is now qualified for both seabed static and dynamic riser service. Following a rigorous review of qualification programmes, certificates of fitness for service have been issued by DNV for both applications in April 2011 and August 2012, respectively. Mechanically lined pipe is an extremely attractive alternative to clad pipe and full body CRA pipes in terms of lead time and procurement costs, especially for higher temperature and pressure applications. As for clad pipe, it was demonstrated that a reelable mechanically lined pipe, welded in factory like conditions at the spoolbase, in accordance with procedures meeting the demand of SCR designs, meets very high fatigue performance. A first industrial application of reeled mechanically lined pipe at atmospheric pressure is scheduled for installation in mid 2013 in the UK sector of the North Sea. There is sufficient qualification evidence to be confident that this technology will be implemented for rigid dynamic riser application in the near future. References [1] Det Norske Veritas, Recommended Practice DNV-RP-A203 Qualification Procedures for New Technology. [2] Endal, G., Nupen, O., Sakuraba, M. and Kondo, K., 2006 Reeling Installation of 15" Clad Steel Pipeline with Direct Electrical Heating and In-Line T - Proceedings of the 25 th International Conference on Offshore Mechanics and Arctic Engineering, OMAE [3] Haabrekke, T., Bärs, G., Kvaale, P.E. and Rørvik, G., 2006 Experiences from Welding and AUT of the 15" Norne Clad Pipeline Installed with the Reeling Method - Proceedings of the 26 th International Conference on Offshore Mechanics and Arctic Engineering, OMAE [4] Tkaczyk T., Pepin A. and Denniel S., 2011 Integrity of Mechanically Lined Pipes Subjected to Multi-Cycle Plastic - Proceedings of the 30 th International Conference on Offshore Mechanics and Arctic Engineering, OMAE [5] Det Norske Veritas, 2011 Recommended Practice DNV-RP-C203 Fatigue Design of Steel Offshore Structures. [6] Gray J.F., Howard B., Pieton A., Gallart R., 2009 The Qualification and Continued Evolution of Reeled Steel Catenary Risers - Proceedings of the 28 th International Conference on Offshore Mechanics and Arctic Engineering, OMAE [7] British Standards Institution, 1993 British Standard B7608:1993 Code of Practice for Fatigue Design and Assessment of Steel Structures. [8] Wang H., Widener T., Kan W.C., Sutherland J. and Jones R., 2011 Qualification of Reeled Clad SCR Weld Fatigue Performance - Proceedings of the 30 th International Conference on Offshore Mechanics and Arctic Engineering, OMAE [9] Weir M.S., Kan W.C. and Hoyt D.S., 2005 Inconel Welding for Enhanced Fatigue Performance Proceedings of Deep Offshore Technology Conference. [10] Tkaczyk T., Pepin A. and Denniel S., 2012 Fatigue and Fracture of Mechanically Lined Pipes Installed by Reeling - Proceedings of the 31 st International Conference on Ocean, Offshore and Arctic Engineering, OMAE Page 16

17 [11] Maddox S.J. and Schneider C.R.A., 2000 Statistical Analysis of Fatigue Test Results fo Validate a Design S-N Curve TWI. [12] Tkaczyk T., Pepin A. and Denniel S., 2012 Fatigue and Fracture Performance of Reeled Mechanically Lined Pipes Proceedings of ISOPE Conference. Page 17

The Suitability of CRA Lined Pipes for Flowlines Susceptible to Lateral Buckling SUT Global Pipeline Buckling Symposium, 23 24 February 2011

The Suitability of CRA Lined Pipes for Flowlines Susceptible to Lateral Buckling SUT Global Pipeline Buckling Symposium, 23 24 February 2011 The Suitability of CRA Lined Pipes for Flowlines Susceptible to Lateral Buckling SUT Global Pipeline Buckling Symposium, 23 24 February 2011 Duncan Wilmot, Technical Manager, Cladtek International, Australia

More information

Subsea Technology. Alain Marion, Senior VP Assets & Subsea Technology. Investor Day in Brazil, October 4, 2011

Subsea Technology. Alain Marion, Senior VP Assets & Subsea Technology. Investor Day in Brazil, October 4, 2011 Subsea Technology Alain Marion, Senior VP Assets & Subsea Technology Investor Day in Brazil, October 4, 2011 Subsea Technology Technip s Commitment to Subsea R&D Technip Leadership Position Emerging Technologies

More information

Oil and Gas Pipeline Design, Maintenance and Repair

Oil and Gas Pipeline Design, Maintenance and Repair Oil and Gas Pipeline Design, Maintenance and Repair Dr. Abdel-Alim Hashem Professor of Petroleum Engineering Mining, Petroleum & Metallurgical Eng. Dept. Faculty of Engineering Cairo University [email protected]

More information

EXPERIMENTAL AND NUMERICAL ANALYSIS OF THE COLLAR PRODUCTION ON THE PIERCED FLAT SHEET METAL USING LASER FORMING PROCESS

EXPERIMENTAL AND NUMERICAL ANALYSIS OF THE COLLAR PRODUCTION ON THE PIERCED FLAT SHEET METAL USING LASER FORMING PROCESS JOURNAL OF CURRENT RESEARCH IN SCIENCE (ISSN 2322-5009) CODEN (USA): JCRSDJ 2014, Vol. 2, No. 2, pp:277-284 Available at www.jcrs010.com ORIGINAL ARTICLE EXPERIMENTAL AND NUMERICAL ANALYSIS OF THE COLLAR

More information

TITANIUM FABRICATION CORP.

TITANIUM FABRICATION CORP. TITANIUM FABRICATION CORP. Titanium, Zirconium, and Tantalum Clad Construction General Considerations In many applications, particularly for large pressure vessels designed for high temperature and pressure,

More information

Kodiak Deepwater Project Challenges and Solutions

Kodiak Deepwater Project Challenges and Solutions Kodiak Deepwater Project Challenges and Solutions Marine Technology Society September 24, 2015 Deep Gulf Energy II, LLC Overview of Deep Gulf Energy Companies Deep Gulf Energy Background Exploration and

More information

METHOD OF STATEMENT FOR STATIC LOADING TEST

METHOD OF STATEMENT FOR STATIC LOADING TEST Compression Test, METHOD OF STATEMENT FOR STATIC LOADING TEST Tension Test and Lateral Test According to the American Standards ASTM D1143 07, ASTM D3689 07, ASTM D3966 07 and Euro Codes EC7 Table of Contents

More information

Avoiding Burning Through: Control the Inside Surface Temperature, Not the Pressure

Avoiding Burning Through: Control the Inside Surface Temperature, Not the Pressure Originally published in the Canadian Welding Association Journal, Spring 2013, pp 30 39 Welding on In service Pipelines: Dispelling Popular Myths and Misconceptions Bill Amend Sr. Principal Engineer, Welding

More information

C. PROCEDURE APPLICATION (FITNET)

C. PROCEDURE APPLICATION (FITNET) C. PROCEDURE APPLICATION () 495 INTRODUCTION ASSESSMENT OF SCC ASSESSMENT OF CORROSION FATIGUE STRESS CORROSION AND CORROSION FATIGUE ANALYSIS ASSESSMENT OF LOCAL THINNED AREAS 496 INTRODUCTION INTRODUCTION

More information

Technical Report Example (1) Chartered (CEng) Membership

Technical Report Example (1) Chartered (CEng) Membership Technical Report Example (1) Chartered (CEng) Membership A TECHNICAL REPORT IN SUPPORT OF APPLICATION FOR CHARTERED MEMBERSHIP OF IGEM DESIGN OF 600 (103 BAR) 820MM SELF SEALING REPAIR CLAMP AND VERIFICATION

More information

EVALUATION OF THE AQUA WRAP SYSTEM IN REPAIRING MECHANICALLY- DAMAGED PIPES

EVALUATION OF THE AQUA WRAP SYSTEM IN REPAIRING MECHANICALLY- DAMAGED PIPES EVALUATION OF THE AQUA WRAP SYSTEM IN REPAIRING MECHANICALLY- DAMAGED PIPES Prepared for AIR LOGISTICS, INC. Azusa, California September 2005 Revision 1 STRESS ENGINEERING SERVICES, INC. Houston, Texas

More information

Numerical Analysis of Independent Wire Strand Core (IWSC) Wire Rope

Numerical Analysis of Independent Wire Strand Core (IWSC) Wire Rope Numerical Analysis of Independent Wire Strand Core (IWSC) Wire Rope Rakesh Sidharthan 1 Gnanavel B K 2 Assistant professor Mechanical, Department Professor, Mechanical Department, Gojan engineering college,

More information

NOTCHES AND THEIR EFFECTS. Ali Fatemi - University of Toledo All Rights Reserved Chapter 7 Notches and Their Effects 1

NOTCHES AND THEIR EFFECTS. Ali Fatemi - University of Toledo All Rights Reserved Chapter 7 Notches and Their Effects 1 NOTCHES AND THEIR EFFECTS Ali Fatemi - University of Toledo All Rights Reserved Chapter 7 Notches and Their Effects 1 CHAPTER OUTLINE Background Stress/Strain Concentrations S-N Approach for Notched Members

More information

Premium Tubular Solutions Super Duplex Welded Tubes for Umbilical Applications

Premium Tubular Solutions Super Duplex Welded Tubes for Umbilical Applications Premium Tubular Solutions Super Duplex Welded Tubes for Umbilical Applications Premium Tubular Solutions Innovative Tubes for Umbilical Applications Over 35 years of experience in Premium welded t ubular

More information

IS THAT LINER THICK ENOUGH?

IS THAT LINER THICK ENOUGH? IS THAT LINER THICK ENOUGH? Philip McFarlane, Opus International Consultants Ltd ABSTRACT The amount of pipeline rehabilitation being undertaken in New Zealand is increasing each year. Larger diameter

More information

NEW SIX-SEALS CUTTING RING. INTERNATIONAL INDUSTRIAL PATENT Nr. 864061 of the 10/03/99 FLANKS AND DOES NOT REPLACE THE STANDARD RING CURRENTLY IN USE

NEW SIX-SEALS CUTTING RING. INTERNATIONAL INDUSTRIAL PATENT Nr. 864061 of the 10/03/99 FLANKS AND DOES NOT REPLACE THE STANDARD RING CURRENTLY IN USE B4 NEW SIX-SEALS CUTTING RING. INTERNATIONAL INDUSTRIAL PATENT Nr. 864061 of the 10/03/99 FLANKS AND DOES NOT REPLACE THE STANDARD RING CURRENTLY IN USE AVAILABLE IN CARBON AND STAINLESS STEEL 23 THEORY

More information

Faculty of Science and Technology MASTER S THESIS

Faculty of Science and Technology MASTER S THESIS Faculty of Science and Technology MASTER S THESIS Study program/ Specialization: Offshore Technology/ Subsea Technology Spring semester, 2013 Open / Restricted access Writer: Indra Permana Faculty supervisor:

More information

A World Class Manufacturer of Induction Bends

A World Class Manufacturer of Induction Bends A World Class Manufacturer of Induction Bends COFELY FABRICOM BENDING A leading position in bending High Flexibility and Close Tolerances As a world leading manufacturer of pipe bends, produced by induction

More information

North American Stainless

North American Stainless North American Stainless Long Products Stainless Steel Grade Sheet 2205 UNS S2205 EN 1.4462 2304 UNS S2304 EN 1.4362 INTRODUCTION Types 2205 and 2304 are duplex stainless steel grades with a microstructure,

More information

Structural Integrity Analysis

Structural Integrity Analysis Structural Integrity Analysis 1. STRESS CONCENTRATION Igor Kokcharov 1.1 STRESSES AND CONCENTRATORS 1.1.1 Stress An applied external force F causes inner forces in the carrying structure. Inner forces

More information

Bending, Forming and Flexing Printed Circuits

Bending, Forming and Flexing Printed Circuits Bending, Forming and Flexing Printed Circuits John Coonrod Rogers Corporation Introduction: In the printed circuit board industry there are generally two main types of circuit boards; there are rigid printed

More information

Weld Cracking. An Excerpt from The Fabricators' and Erectors' Guide to Welded Steel Construction. The James F. Lincoln Arc Welding Foundation

Weld Cracking. An Excerpt from The Fabricators' and Erectors' Guide to Welded Steel Construction. The James F. Lincoln Arc Welding Foundation Weld Cracking An Excerpt from The Fabricators' and Erectors' Guide to Welded Steel Construction The James F. Lincoln Arc Welding Foundation Weld Cracking Several types of discontinuities may occur in welds

More information

PROPERTIES OF MATERIALS

PROPERTIES OF MATERIALS 1 PROPERTIES OF MATERIALS 1.1 PROPERTIES OF MATERIALS Different materials possess different properties in varying degree and therefore behave in different ways under given conditions. These properties

More information

EDEXCEL NATIONAL CERTIFICATE/DIPLOMA MECHANICAL PRINCIPLES OUTCOME 2 ENGINEERING COMPONENTS TUTORIAL 1 STRUCTURAL MEMBERS

EDEXCEL NATIONAL CERTIFICATE/DIPLOMA MECHANICAL PRINCIPLES OUTCOME 2 ENGINEERING COMPONENTS TUTORIAL 1 STRUCTURAL MEMBERS ENGINEERING COMPONENTS EDEXCEL NATIONAL CERTIFICATE/DIPLOMA MECHANICAL PRINCIPLES OUTCOME ENGINEERING COMPONENTS TUTORIAL 1 STRUCTURAL MEMBERS Structural members: struts and ties; direct stress and strain,

More information

A Study of Durability Analysis Methodology for Engine Valve Considering Head Thermal Deformation and Dynamic Behavior

A Study of Durability Analysis Methodology for Engine Valve Considering Head Thermal Deformation and Dynamic Behavior A Study of Durability Analysis Methodology for Engine Valve Considering Head Thermal Deformation and Dynamic Behavior Kum-Chul, Oh 1, Sang-Woo Cha 1 and Ji-Ho Kim 1 1 R&D Center, Hyundai Motor Company

More information

Burst Pressure Prediction of Pressure Vessel using FEA

Burst Pressure Prediction of Pressure Vessel using FEA Burst Pressure Prediction of Pressure Vessel using FEA Nidhi Dwivedi, Research Scholar (G.E.C, Jabalpur, M.P), Veerendra Kumar Principal (G.E.C, Jabalpur, M.P) Abstract The main objective of this paper

More information

Crimp Tooling Where Form Meets Function

Crimp Tooling Where Form Meets Function Crimp Tooling Where Form Meets Function Quality, cost, and throughput are key attributes for any production process. The crimp termination process is no exception. Many variables contribute to the results.

More information

Solid shape molding is not desired in injection molding due to following reasons.

Solid shape molding is not desired in injection molding due to following reasons. PLASTICS PART DESIGN and MOULDABILITY Injection molding is popular manufacturing method because of its high-speed production capability. Performance of plastics part is limited by its properties which

More information

CH 6: Fatigue Failure Resulting from Variable Loading

CH 6: Fatigue Failure Resulting from Variable Loading CH 6: Fatigue Failure Resulting from Variable Loading Some machine elements are subjected to static loads and for such elements static failure theories are used to predict failure (yielding or fracture).

More information

ASTM D 1599 Standard Test Method for Resistance to Short-Time Hydraulic Pressure of Plastic Pipe, Tubing, and Fittings

ASTM D 1599 Standard Test Method for Resistance to Short-Time Hydraulic Pressure of Plastic Pipe, Tubing, and Fittings ASTM D 1599 Standard Test Method for Resistance to Short-Time Hydraulic Pressure of Plastic Pipe, Tubing, and Fittings This test method establishes the short-time hydraulic failure pressure of pipe and

More information

Comparison of Steel Tubes and Thermoplastic Hoses in Umbilical Service

Comparison of Steel Tubes and Thermoplastic Hoses in Umbilical Service Comparison of Steel Tubes and Thermoplastic Hoses in Umbilical Service Users of this Guidance Note should ensure that they are referring to the latest issue which can be downloaded from www.umf.as. No

More information

Numerical modelling of shear connection between concrete slab and sheeting deck

Numerical modelling of shear connection between concrete slab and sheeting deck 7th fib International PhD Symposium in Civil Engineering 2008 September 10-13, Universität Stuttgart, Germany Numerical modelling of shear connection between concrete slab and sheeting deck Noémi Seres

More information

Objectives. Experimentally determine the yield strength, tensile strength, and modules of elasticity and ductility of given materials.

Objectives. Experimentally determine the yield strength, tensile strength, and modules of elasticity and ductility of given materials. Lab 3 Tension Test Objectives Concepts Background Experimental Procedure Report Requirements Discussion Objectives Experimentally determine the yield strength, tensile strength, and modules of elasticity

More information

FATIGUE DESIGN OF OFFSHORE STEEL STRUCTURES

FATIGUE DESIGN OF OFFSHORE STEEL STRUCTURES RECOMMENDED PRCTICE DNV-RP-C03 FTIGUE DESIGN OF OFFSHORE STEEL STRUCTURES PRIL 00 FOREWORD (DNV) is an autonomous and independent foundation with the objectives of safeguarding life, property and the environment,

More information

Characterization and Simulation of Processes

Characterization and Simulation of Processes Characterization and Simulation of Processes * M. Engelhardt 1, H. von Senden genannt Haverkamp 1, Y.Kiliclar 2, M. Bormann 1, F.-W. Bach 1, S. Reese 2 1 Institute of Materials Science, Leibniz University

More information

How to live with Flexible Pipe, happily ever after?

How to live with Flexible Pipe, happily ever after? Copyright: Shell Exploration & Production Ltd. Shell Projects and Technology 16-12-10 KIvI lecture How to live with Flexible Pipe, happily ever after? J. M. M. (Hans) Out 12/22/2010 File Title KIvI Flexible

More information

The University of Birmingham (Live System)

The University of Birmingham (Live System) The University of Birmingham (Live System) Behaviour of Structural Insulated Panels (SIPs) under both short-term and long-term loadings Yang, Jian; Rungthonkit, Prathan Document Version Author final version

More information

High-strength and ultrahigh-strength. Cut sheet from hot-rolled steel strip and heavy plate. voestalpine Steel Division www.voestalpine.

High-strength and ultrahigh-strength. Cut sheet from hot-rolled steel strip and heavy plate. voestalpine Steel Division www.voestalpine. High-strength and ultrahigh-strength TM steels Cut sheet from hot-rolled steel strip and heavy plate Josef Elmer, Key account manager voestalpine Steel Division www.voestalpine.com/steel Weight savings

More information

Proceedings of OMAE'01 20 th International Conference on Offshore Mechanics and Arctic Engineering June 3-8, 2001, Rio de Janeiro, Brazil

Proceedings of OMAE'01 20 th International Conference on Offshore Mechanics and Arctic Engineering June 3-8, 2001, Rio de Janeiro, Brazil Proceedings of OMAE' 2 th International Conference on Offshore Mechanics and Arctic Engineering June 3-8, 2, Rio de Janeiro, Brazil OMAE2/SR-259 PROBABILISTIC MODELLING AND ANALYSIS OF RISER COLLISION

More information

CRITERIA FOR PRELOADED BOLTS

CRITERIA FOR PRELOADED BOLTS National Aeronautics and Space Administration Lyndon B. Johnson Space Center Houston, Texas 77058 REVISION A JULY 6, 1998 REPLACES BASELINE SPACE SHUTTLE CRITERIA FOR PRELOADED BOLTS CONTENTS 1.0 INTRODUCTION..............................................

More information

Simulation of Residual Stresses in an Induction Hardened Roll

Simulation of Residual Stresses in an Induction Hardened Roll 2.6.4 Simulation of Residual Stresses in an Induction Hardened Roll Ludwig Hellenthal, Clemens Groth Walzen Irle GmbH, Netphen-Deuz, Germany CADFEM GmbH, Burgdorf/Hannover, Germany Summary A heat treatment

More information

Experimental assessment of concrete damage due to exposure to high temperature and efficacy of the repair system

Experimental assessment of concrete damage due to exposure to high temperature and efficacy of the repair system MATEC Web of Conferences 6, 06002 (2013) DOI: 10.1051/matecconf/20130606002 C Owned by the authors, published by EDP Sciences, 2013 Experimental assessment of concrete damage due to exposure to high temperature

More information

Prestressed Concrete Pipe Fitness for Service and Repair

Prestressed Concrete Pipe Fitness for Service and Repair Prestressed Concrete Pipe Fitness for Service and Repair Rasko Ojdrovic [email protected] 781-907-9231 IAEA - EPRI 15 October 2014 www.sgh.com SGH Pipeline Experience More than 25 years of research, analysis,

More information

IMPELLER FATIGUE ASSESSMENT USING AN S-N APPROACH

IMPELLER FATIGUE ASSESSMENT USING AN S-N APPROACH ENGINEERING PAPER 5244-08 IMPELLER FATIGUE ASSESSMENT USING AN S-N APPROACH Samuel Orr Engineering Analysis Manager Howden Technology AMCA International Engineering Conference Las Vegas, NV, USA 2 4 March

More information

Sheet metal operations - Bending and related processes

Sheet metal operations - Bending and related processes Sheet metal operations - Bending and related processes R. Chandramouli Associate Dean-Research SASTRA University, Thanjavur-613 401 Table of Contents 1.Quiz-Key... Error! Bookmark not defined. 1.Bending

More information

Handbook on the Ultrasonic Examination. Austenitic Welds

Handbook on the Ultrasonic Examination. Austenitic Welds Handbook on the Ultrasonic Examination Austenitic Welds The International Institute of Welding Edition Handbook On the Ultrasonic Examination of Austenitic Welds Compiled by COMMISSION V Testing, Measurement,

More information

WJM Technologies excellence in material joining

WJM Technologies excellence in material joining Girish P. Kelkar, Ph.D. (562) 743-7576 [email protected] www.welding-consultant.com Weld Cracks An Engineer s Worst Nightmare There are a variety of physical defects such as undercut, insufficient

More information

Fatigue Resistance of High Strength Bolts with Large Diameters

Fatigue Resistance of High Strength Bolts with Large Diameters 1 Fatigue Resistance of High Strength Bolts with Large Diameters Prof. Peter Schaumann; Dipl.-Ing. Frithjof Marten Leibniz Universitaet Hannover Institute for Steel Construction Hannover, Germany [email protected];

More information

Green Thread Product Data

Green Thread Product Data Green Thread Product Data Applications Dilute Acids Caustics Produced Water Industrial Waste Hot Water Condensate Return Materials and Construction All pipe manufactured by filament winding process using

More information

1. Fluids Mechanics and Fluid Properties. 1.1 Objectives of this section. 1.2 Fluids

1. Fluids Mechanics and Fluid Properties. 1.1 Objectives of this section. 1.2 Fluids 1. Fluids Mechanics and Fluid Properties What is fluid mechanics? As its name suggests it is the branch of applied mechanics concerned with the statics and dynamics of fluids - both liquids and gases.

More information

Ultrasonic Technique and Device for Residual Stress Measurement

Ultrasonic Technique and Device for Residual Stress Measurement Ultrasonic Technique and Device for Residual Stress Measurement Y. Kudryavtsev, J. Kleiman Integrity Testing Laboratory Inc. 80 Esna Park Drive, Units 7-9, Markham, Ontario, L3R 2R7 Canada [email protected]

More information

MIME 3330 Mechanics Laboratory LAB 5: ROTATING BENDING FATIGUE

MIME 3330 Mechanics Laboratory LAB 5: ROTATING BENDING FATIGUE MIME 3330 Mechanics Laboratory LAB 5: ROTATING BENDING FATIGUE Introduction In this experiment, the finite life fatigue behavior of a smooth cylindrical specimen as shown in Figure 1 will be studied in

More information

Reproduced with the permission of the American Welding Society (AWS), Miami, Florida - 09/15/2011. 7. Stud Welding

Reproduced with the permission of the American Welding Society (AWS), Miami, Florida - 09/15/2011. 7. Stud Welding 7. Stud Welding 7.1 Scope Section 7 contains general requirements for welding steel studs to steel (see 7.2.7 and 1.2.2 for approved steels). In addition, it stipulates specific requirements for the following:

More information

Specification for Rotary Drill Stem Elements

Specification for Rotary Drill Stem Elements Addendum 1 March 2007 Effective Date: September 1, 2007 Specification for Rotary Drill Stem Elements ANSI/API SPECIFICATION 7-1 FIRST EDITION, MARCH 2006 EFFECTIVE DATE: SEPTEMBER 2006 ISO 10424-1:2004

More information

MASTER DEGREE PROJECT

MASTER DEGREE PROJECT MASTER DEGREE PROJECT Finite Element Analysis of a Washing Machine Cylinder Thesis in Applied Mechanics one year Master Degree Program Performed : Spring term, 2010 Level Author Supervisor s Examiner :

More information

OTC OTC-21588-PP. Copyright 2011, Offshore Technology Conference

OTC OTC-21588-PP. Copyright 2011, Offshore Technology Conference OTC OTC-21588-PP SS: Deployment of Subsea Equipment: Qualification of Large Diameter Fibre Rope for Deepwater Construction Applications R. Törnqvist; and M. Strande, DNV; D. Cannell, Technip; P. Gledhill,

More information

ROLLED STAINLESS STEEL PLATES, SECTIONS AND BARS

ROLLED STAINLESS STEEL PLATES, SECTIONS AND BARS STANDARD FOR CERTIFICATION No. 2.9 ROLLED STAINLESS STEEL PLATES, SECTIONS AND BARS OCTOBER 2008 Veritasveien 1, NO-1322 Høvik, Norway Tel.: +47 67 57 99 00 Fax: +47 67 57 99 11 FOREWORD (DNV) is an autonomous

More information

THE COMPOSITE DISC - A NEW JOINT FOR HIGH POWER DRIVESHAFTS

THE COMPOSITE DISC - A NEW JOINT FOR HIGH POWER DRIVESHAFTS THE COMPOSITE DISC - A NEW JOINT FOR HIGH POWER DRIVESHAFTS Dr Andrew Pollard Principal Engineer GKN Technology UK INTRODUCTION There is a wide choice of flexible couplings for power transmission applications,

More information

INJECTION MOLDING COOLING TIME REDUCTION AND THERMAL STRESS ANALYSIS

INJECTION MOLDING COOLING TIME REDUCTION AND THERMAL STRESS ANALYSIS INJECTION MOLDING COOLING TIME REDUCTION AND THERMAL STRESS ANALYSIS Tom Kimerling University of Massachusetts, Amherst MIE 605 Finite Element Analysis Spring 2002 ABSTRACT A FEA transient thermal structural

More information

G1RT-CT-2001-05071 D. EXAMPLES F. GUTIÉRREZ-SOLANA S. CICERO J.A. ALVAREZ R. LACALLE W P 6: TRAINING & EDUCATION

G1RT-CT-2001-05071 D. EXAMPLES F. GUTIÉRREZ-SOLANA S. CICERO J.A. ALVAREZ R. LACALLE W P 6: TRAINING & EDUCATION D. EXAMPLES 316 WORKED EXAMPLE I Infinite Plate under fatigue Introduction and Objectives Data Analysis 317 INTRODUCTION AND OBJECTIVES One structural component of big dimensions is subjected to variable

More information

Compression load testing straw bale walls. Peter Walker Dept. Architecture & Civil Engineering University of Bath Bath BA2 7AY.

Compression load testing straw bale walls. Peter Walker Dept. Architecture & Civil Engineering University of Bath Bath BA2 7AY. Compression load testing straw bale walls Peter Walker Dept. Architecture & Civil Engineering University of Bath Bath BA2 7AY May 2004 1. Introduction Over the last 10 years a growing number of loadbearing

More information

Fire-induced damage in prestressing steels

Fire-induced damage in prestressing steels Fire-induced damage in prestressing steels By José Miguel Atienza and Manuel Elices Madrid Polytechnic University, Spain Abslracl: After a fire, even If no collapse happens, there Is a possibility of fire-induced

More information

Stress and deformation of offshore piles under structural and wave loading

Stress and deformation of offshore piles under structural and wave loading Stress and deformation of offshore piles under structural and wave loading J. A. Eicher, H. Guan, and D. S. Jeng # School of Engineering, Griffith University, Gold Coast Campus, PMB 50 Gold Coast Mail

More information

Hyper duplex stainless steel for deep subsea applications

Hyper duplex stainless steel for deep subsea applications Hyper duplex stainless steel for deep subsea applications This article looks at the development of hyper-duplex stainless steels by Sandvik (SAF Sandvik 3207 HD) for use in subsea umbilicals to connect

More information

Conceptual Design of Buildings (Course unit code 1C2)

Conceptual Design of Buildings (Course unit code 1C2) (Course unit code 1C2) Module C Design of Steel Members J.P. Jaspart (University of Liège) 520121-1-2011-1-CZ-ERA MUNDUS-EMMC Bolts are the main type of fasteners used in steel joints. The main geometrical

More information

Electric heat tracing

Electric heat tracing PIPELINE DESIGN Figure 1. Shorter, more complex piping at a process plant. Electric heat tracing Neil Malone, Heat Trace, UK, discusses electric heat tracing of long pipelines. In considering electric

More information

TRENCHLESS TECHNOLOGY GUIDELINES CLOSE FIT THERMOPLASTIC LINING

TRENCHLESS TECHNOLOGY GUIDELINES CLOSE FIT THERMOPLASTIC LINING TRENCHLESS TECHNOLOGIES RESOURCE CENTRE TRENCHLESS TECHNOLOGY GUIDELINES SECOND EDITION CLOSE FIT THERMOPLASTIC LINING NEW VERSION AUGUST 2005 1. OVERVIEW The use of liners that are deliberately deformed

More information

ATI 2205 ATI 2205. Technical Data Sheet. Duplex Stainless Steel GENERAL PROPERTIES. (UNS S31803 and S32205)

ATI 2205 ATI 2205. Technical Data Sheet. Duplex Stainless Steel GENERAL PROPERTIES. (UNS S31803 and S32205) ATI 2205 Duplex Stainless Steel (UNS S31803 and S32205) GENERAL PROPERTIES ATI 2205 alloy (UNS S31803 and/or S32205) is a nitrogen-enhanced duplex stainless steel alloy. The nitrogen serves to significantly

More information

INTERNATIONAL ASSOCIATION OF CLASSIFICATION SOCIETIES. Interpretations of the FTP

INTERNATIONAL ASSOCIATION OF CLASSIFICATION SOCIETIES. Interpretations of the FTP INTERNATIONAL ASSOCIATION OF CLASSIFICATION SOCIETIES Interpretations of the FTP CONTENTS FTP1 Adhesives used in A or B class divisions (FTP Code 3.1, Res A.754 para. 3.2.3) June 2000 FTP2 Pipe and duct

More information

Measurement of Residual Stress in Plastics

Measurement of Residual Stress in Plastics Measurement of Residual Stress in Plastics An evaluation has been made of the effectiveness of the chemical probe and hole drilling techniques to measure the residual stresses present in thermoplastic

More information

Naue GmbH&Co.KG. Quality Control and. Quality Assurance. Manual. For Geomembranes

Naue GmbH&Co.KG. Quality Control and. Quality Assurance. Manual. For Geomembranes Naue GmbH&Co.KG Quality Control and Quality Assurance Manual For Geomembranes July 2004 V.O TABLE OF CONTENTS 1. Introduction 2. Quality Assurance and Control 2.1 General 2.2 Quality management acc. to

More information

SECTION 15076 CEMENT-MORTAR LINED AND COATED STEEL PIPE

SECTION 15076 CEMENT-MORTAR LINED AND COATED STEEL PIPE SECTION 15076 CEMENT-MORTAR LINED AND COATED (CML&C) STEEL PIPE PART 1 GENERAL 1.01 DESCRIPTION This section designates the requirements for steel pipe fabrication, test in shop, installation of steel

More information

CHARACTERISATION OF A RESONANT BENDING FATIGUE TEST SETUP FOR PIPES

CHARACTERISATION OF A RESONANT BENDING FATIGUE TEST SETUP FOR PIPES CHARACTERISATION OF A RESONANT BENDING FATIGUE TEST SETUP FOR PIPES J. Claeys 1, J. Van Wittenberghe 2, P. De Baets 2 and W. De Waele 2 2 1 Ghent University, Belgium Ghent University, laboratory Soete,

More information

The atomic packing factor is defined as the ratio of sphere volume to the total unit cell volume, or APF = V S V C. = 2(sphere volume) = 2 = V C = 4R

The atomic packing factor is defined as the ratio of sphere volume to the total unit cell volume, or APF = V S V C. = 2(sphere volume) = 2 = V C = 4R 3.5 Show that the atomic packing factor for BCC is 0.68. The atomic packing factor is defined as the ratio of sphere volume to the total unit cell volume, or APF = V S V C Since there are two spheres associated

More information

Torsion Tests. Subjects of interest

Torsion Tests. Subjects of interest Chapter 10 Torsion Tests Subjects of interest Introduction/Objectives Mechanical properties in torsion Torsional stresses for large plastic strains Type of torsion failures Torsion test vs.tension test

More information

pdi PLASTIC DRUM INSTITUTE Plastic Drum Paneling Issues

pdi PLASTIC DRUM INSTITUTE Plastic Drum Paneling Issues pdi PLASTIC DRUM INSTITUTE Plastic Drum Paneling Issues PANELING BACKGROUND This report will explain the causes of paneling and suggest some possible ways to eliminate or minimize the paneling of plastic

More information

www.klmtechgroup.com TABLE OF CONTENT

www.klmtechgroup.com TABLE OF CONTENT Page : 1 of 45 Project Engineering Standard www.klmtechgroup.com KLM Technology #03-12 Block Aronia, Jalan Sri Perkasa 2 Taman Tampoi Utama 81200 Johor Bahru Malaysia TABLE OF CONTENT 1.0 SCOPE 2 2.0 CONFLICTS

More information

Utmattingsberegninger for stålkonstruksjoner iht gjeldende regelverk og Eurokode 3, del 1-9. Weld improvement and life extension.

Utmattingsberegninger for stålkonstruksjoner iht gjeldende regelverk og Eurokode 3, del 1-9. Weld improvement and life extension. Utmattingsberegninger for stålkonstruksjoner iht gjeldende regelverk og Eurokode 3, del 1-9 Weld improvement and life extension 8-9 November 2010 Prof. P J Haagensen NTNU Institutt for konstruksjonsteknikk

More information

Corrugated Tubular Heat Exchangers

Corrugated Tubular Heat Exchangers Corrugated Tubular Heat Exchangers HEAT EXCHANGERS for the 21st CENTURY Corrugated Tubular Heat Exchangers (CTHE) Corrugated Tube Heat Exchangers are shell and tube heat exchangers which use corrugated

More information

Fatigue Performance Evaluation of Forged Steel versus Ductile Cast Iron Crankshaft: A Comparative Study (EXECUTIVE SUMMARY)

Fatigue Performance Evaluation of Forged Steel versus Ductile Cast Iron Crankshaft: A Comparative Study (EXECUTIVE SUMMARY) Fatigue Performance Evaluation of Forged Steel versus Ductile Cast Iron Crankshaft: A Comparative Study (EXECUTIVE SUMMARY) Ali Fatemi, Jonathan Williams and Farzin Montazersadgh Professor and Graduate

More information

ElastoFlake & ElastoTec

ElastoFlake & ElastoTec ElastoFlake & ElastoTec Relining Group 02 Revolutionally injection casting ElastoFlake, a new material from the Relining Group, is a polymer plastic mass intended for injection casting, which was developed

More information

Pipeline Replacement using Relining

Pipeline Replacement using Relining Pipeline Replacement using Relining Mark Heathcote, March 2006 Relining of old pipeline systems is becoming an increasingly attractive option to asset owners and operators as an effective alternative to

More information

SERIES NG 1800 STRUCTURAL STEELWORK

SERIES NG 1800 STRUCTURAL STEELWORK MANUAL OF CONTRACT DOCUMENTS FOR HIGHWAY WORKS VOLUME 2 NOTES FOR GUIDANCE ON THE SPECIFICATION FOR HIGHWAY WORKS SERIES NG 1800 STRUCTURAL STEELWORK Contents Clause Title Page NG 1800 (08/14) General

More information

Optimising plate girder design

Optimising plate girder design Optimising plate girder design NSCC29 R. Abspoel 1 1 Division of structural engineering, Delft University of Technology, Delft, The Netherlands ABSTRACT: In the design of steel plate girders a high degree

More information

RESIDUAL STRESSES AND THEIR EFFECTS ON FATIGUE RESISTANCE

RESIDUAL STRESSES AND THEIR EFFECTS ON FATIGUE RESISTANCE RESIDUAL STRESSES AND THEIR EFFECTS ON FATIGUE RESISTANCE Ali Fatemi-University of Toledo All Rights Reserved Chapter 8 Residual Stresses & Their Effects 1 RESIDUAL STRESSES AND THEIR EFFECTS ON FATIGUE

More information

Guidelines for the Survey of Offshore Mooring Chain Cable in Use

Guidelines for the Survey of Offshore Mooring Chain Cable in Use (1995) (Rev.1 Oct 2010) Guidelines for the Survey of Offshore Mooring Chain Cable in Use 1. Application and Purpose The information herein is intended to provide guidance to Surveyors for inspection of

More information

Stainless Steel Pipe Fabrication

Stainless Steel Pipe Fabrication Stainless Steel Pipe Fabrication Dr M J Fletcher, Delta Consultants, Rutland UK We are now all too familiar with demands to reduce manufacturing costs. Fabrication of stainless steel poses particular problems.

More information

Draft Table of Contents. Building Code Requirements for Structural Concrete and Commentary ACI 318-14

Draft Table of Contents. Building Code Requirements for Structural Concrete and Commentary ACI 318-14 Draft Table of Contents Building Code Requirements for Structural Concrete and Commentary ACI 318-14 BUILDING CODE REQUIREMENTS FOR STRUCTURAL CONCRETE (ACI 318 14) Chapter 1 General 1.1 Scope of ACI 318

More information

B. INTRODUCTION TO ASSESSMENT PROCEDURES FOR CRACKED COMPONENTS

B. INTRODUCTION TO ASSESSMENT PROCEDURES FOR CRACKED COMPONENTS B. INTRODUCTION TO ASSESSMENT PROCEDURES FOR CRACKED COMPONENTS 40 INTRODUCTION HOW ARE INTEGRITY, SECURITY OR CRITICAL CONDITIONS ANALYSED IN A CRACKED STRUCTURE? FRACTURE MECHANICS Critical conditions

More information

Design of Steel Structures Prof. S.R.Satish Kumar and Prof. A.R.Santha Kumar. Fig. 7.21 some of the trusses that are used in steel bridges

Design of Steel Structures Prof. S.R.Satish Kumar and Prof. A.R.Santha Kumar. Fig. 7.21 some of the trusses that are used in steel bridges 7.7 Truss bridges Fig. 7.21 some of the trusses that are used in steel bridges Truss Girders, lattice girders or open web girders are efficient and economical structural systems, since the members experience

More information

Feasibility Study of Deep Water Power Cable Systems. Enrico Colombo CESI S.p.A

Feasibility Study of Deep Water Power Cable Systems. Enrico Colombo CESI S.p.A Feasibility Study of Deep Water Power Cable Systems Enrico Colombo CESI S.p.A Layout of Presentation The Study Context, Objectives, Participants Study Approach & Methodology Assessments and Findings Implementation

More information

* This work is an official contribution of the National Institute of Standards and Technology and

* This work is an official contribution of the National Institute of Standards and Technology and Variability in the Geometric Accuracy of Additively Manufactured Test Parts A.L. Cooke and J.A. Soons National Institute of Standards and Technology * Gaithersburg, MD, USA Abstract This paper describes

More information

MECHANICS OF SOLIDS - BEAMS TUTORIAL 1 STRESSES IN BEAMS DUE TO BENDING. On completion of this tutorial you should be able to do the following.

MECHANICS OF SOLIDS - BEAMS TUTORIAL 1 STRESSES IN BEAMS DUE TO BENDING. On completion of this tutorial you should be able to do the following. MECHANICS OF SOLIDS - BEAMS TUTOIAL 1 STESSES IN BEAMS DUE TO BENDING This is the first tutorial on bending of beams designed for anyone wishing to study it at a fairly advanced level. You should judge

More information