Weldability of Thin Sheet Metals during Small-Scale Resistance Spot Welding using an Alternating-Current Power Supply

Size: px
Start display at page:

Download "Weldability of Thin Sheet Metals during Small-Scale Resistance Spot Welding using an Alternating-Current Power Supply"

Transcription

1 1090 Journl of ELECTRONIC MATERIALS, Vol. 29, No. 9, 2000 Zhou, Gormn, Regulr Tn, nd Issue Pper Ely Weldility of Thin Sheet Metls during Smll-Scle Resistnce Spot Welding using n Alternting-Current Power Supply Y. ZHOU, 1,3 P. GORMAN, 2 W. TAN, 1 nd K.J. ELY 2,4 1. University of Wterloo, Deprtment of Mechnicl Engineering, 200 University Avenue West, Wterloo, Ontrio, N2L 3G1, Cnd. 2. Edison Welding Institute, Microjoining nd Plstics, 1250 Arthur E. Adms Drive, Columus, Ohio, 43221, USA. 3. e-mil: nzhou@uwterloo.c. 4. e-mil: kevin_ely@ewi.org. The resistnce weldility of 0.2-mm-thick sheet luminum, rss, nd copper in smll-scle resistnce spot welding (SSRSW) ws studied. The effects of electrode mterils nd process prmeters on joint strength nd nugget size were investigted. The welding current rnges for SSRSW of the sheet metls were determined sed on the minimum current tht produced required nugget dimeter nd mximum currents tht did not result in electrode-sheet sticking or weld metl expulsion. A qulittive nlysis indicted tht resistnce weldility of the metls is not only determined y their resistivity (or therml conductivity) ut is lso ffected y other physicl properties (such s melting point, ltent het of fusion nd specific het). Key words: Smll-scle resistnce spot welding, weldility, thin sheet metl, joint strength, electrode mterils, process prmeters INTRODUCTION Smll-scle resistnce spot welding (SSRSW) is one of the microjoining processes, in which weld is formed etween two workpieces through the loclized melting nd colescence of smll volume of the mteril(s) due to the resistnce heting cused y the pssge of electric current. The het otined cn e expressed s 1,2 Q = I 2 Rt (1) where, Q is the het genertion, I is the welding current, R is the resistnce of the workpieces, nd t is the durtion of the current (weld time). The resistnce includes contct resistnce t the electrode/ workpiece interfces nd t the fying interfce etween the two workpieces, nd ulk resistnce of the workpieces nd electrodes. These resistnce vlues chnge during the process nd their reltive mgnitudes control the process. Among them, the contct resistnce t the fying interfce, which is influenced y mteril chrcteristics (such s clenliness, surfce roughness, hrdness nd plting mterils), nd electrode force, is elieved to e criticl fctor ffecting the process, especilly t the erly stges in (Received Novemer 11, 1999; ccepted My 19, 2000) the heting cycle. 3 7 The formtion of molten metl nugget depends on the interply of het genertion nd het dissiption in the workpieces. The ltter is governed minly y the mteril s therml conductivity nd the geometry of the workpieces nd electrodes. Since, for most metls, the therml nd electricl conductivities re correlted, it is elieved tht electricl resistivity is one of the most importnt mterils properties ffecting mterils weldility during resistnce spot welding (RSW). 3,7 Extensive reserch nd development work hs een crried out in the re of lrge-scle RSW (LSRSW) of sheet metls for pplictions in the utomotive industry, minly on reltively thick sheet steels (thicker thn mm), nd, to much smller extent, on sheet luminum-sed lloys. 3,7 In study of RSW of 0.8-mm-thick steels, Dickinson et l. 4 proposed tht RSW comprises series of stges, nmely, () surfce rek down, () sperity collpse, (c) heting of the workpieces, (d) molten nugget formtion, nd (e) nugget growth nd mechnicl collpse. 4 Similrly, Gould 5 indicted tht nugget formtion nd development could e chrcterized s function of welding vriles (either weld time or current) y four steps: () incution, () rpid growth, (c) stedily decresing growth rte, nd (d) weld metl expulsion. Weld metl expulsion (WME) occurs when the dim- 1090

2 Weldility of Thin Sheet Metls during Smll-Scle Resistnce Spot Welding using n Alternting-Current Power Supply 1091 eter of the molten metl is lrger thn the contct dimeter nd severe WME cn reduce the joint strength ecuse of the loss of metl volume. 3 7 According to the Americn Welding Society, 7 weldility is the cpcity of mteril to e welded under the imposed friction conditions into specific, suitly designed structure nd to perform stisfctorily in the intended service. There re mny wys to define the weldility of mteril in RSW (electrode tip life, welding current level nd current rnge, etc.); the current rnge nd the electrode life re two most commonly used tests. The current rnge is determined y evluting the minimum nd mximum current levels (under certin process conditions) permissile for required joint properties. The utomotive experience shows tht the strength of resistnce spot welded joints cn e correlted to the dimeter of the weld nuggets; therefore, under certin process conditions, certin level of welding current is generlly required to produce weld with minimum nugget dimeter. 3 5 However, too high welding current my result in WME nd hence reduction in joint strength. The electrode deteriortes during welding ecuse of the interctions etween electrode tip nd workpieces. Electrode tip life my e chrcterized s the numer of welds tht cn e mde efore loss of properties of the welds. The current rnge test is most commonly used since the electrode life test is generlly very time consuming. However, there is n incresing reserch interest on electrode tip life since reduced electrode life ecomes one of the mjor fctors ffecting resistnce weldility of coted steels nd luminum lloys for the utomotive pplictions. 8,9 Electrode-sheet sticking (ESS) occurs when excessive het genertion produces loclly melted res t the electrode-sheet interfce. 8 If the molten metl solidifies efore the electrodes seprte from the workpieces t the end of the weld cycle, the workpieces my stick to the electrodes nd smll force would e needed to seprte them. If the molten metl remined molten when the electrodes seprted from the workpieces, the welding opertor would not experience the electrode-sheet sticking; however, the locl surfce res ffected y melting (e.g., resultnt voids) my e reveled y microscopic exmintion. If the welding current is incresed to eyond the level when ESS occurs, the electrodes might weld to the workpieces. ESS should e minimized ecuse it contriutes to reduced electrode tip life. 8 The ppliction of resistnce welding in the friction of electronic devices nd components (e.g., tteries for implntle pcemker) is generlly termed s micro-, fine, or smll-scle resistnce welding since the metl sheets to e welded re reltively thin or smll in dimeter (<0.5 mm) Little work hs een pulished in the open literture on smllscle resistnce spot welding (SSRSW) despite the ever-incresing pplictions of the technology. Becuse of limited informtion ville, it is common prctice for production engineers to scle down the welding conditions suggested for lrge-scle RSW (e.g., from Reference 3) to suit their welding requirement. However, there re mny differences etween SSRSW nd LSRSW, e.g., SSRSW uses different welding equipment (with much more precise electricl nd mechnicl control), nd much lower electrode force. Furthermore, mterils to e welded in SSRSW re mostly non-ferrous metls. 13 The ojectives of this work re to study the weldility of thin sheet luminum (Al), rss, copper (Cu), nd develop prcticl guidelines for selection of process prmeters nd electrode mterils for SSRSW of thin sheet metls. MATERIALS AND EXPERIMENT PROCEDURE Bse metls used in this study included 0.2-mmthick Al (commercilly pure 1100-H18, full-hrd temper), rss (70 wt.%cu-30 wt.%zn, hlf-hrd cold rolled), Cu (commercilly pure 110, nneled). Lpwelded joints (Fig. 1) were mde using test coupons cut to pproximtely 40-mm long nd 6-mm wide. Joint qulity ws evluted using peel test (Fig. 1) tht ws performed using Chtillon Digitl Force Guge DFIS 2 t speed of 38 mm/min. Nugget Fig. 1. Schemtic of setup for () resistnce spot welding nd () peel test

3 1092 Zhou, Gormn, Tn, nd Ely RESULTS Vrious filure modes were oserved during the peel testing of welded joints, nmely, interfce fil c Fig. 2. Schemtic showing joint filure modes during peel test: () filure long interfce, () filure through nugget, nd (c) filure s utton pullout. dimeter ws estimted y mesuring the dimeter of pullout uttons during the peel test. Peel-tested smples were lso exmined under stereomicroscopy nd scnning electron microscope (SEM) for the existence of expelled metl trpped etween the sheets, which is considered to e the result of WME. The weldility of these mterils ws evluted y their permissile welding current rnges. Although electrode tip life ws not quntified in this work, ESS ws monitored through SEM exmintion of the sheet surfces tht were djcent to electrodes during welding. An lternting-current (t 60 Hz) power supply ws used for SSRSW; the RMS (Root Men Squre) current vlues were mesured using Miychi MM- 336A weld checker. Both Clss 2 (chromium copper lloy) nd Clss 14 (molydenum) electrodes 3 used in this work were commercilly ville t tip-fce dimeter of 3.2 mm nd shnk dimeter of 6.4 mm (Fig. 1). Unlike LSRSW, 3,7 the electrodes were not wter-cooled during SSRSW. The whole welding process ws semi-utomticlly controlled, i.e., n ir-pressure system ws triggered y foot pedl to pply electrode force fter two overlpped specimens were mnully plced etween the opposing electrodes. Welding current ws delivered to the stck fter the force hd reched preselected vlue. Welding current, rise time (fixed t 2 cycles in this study), nd weld time were ll preselected s inputs on the welding controls; however, squeeze time ws not mesured nd, more importntly, cooling time were neither controlled or mesured. Prior to welding, the smple surfces were clened using methnol. Fig. 3. () Peel force nd () nugget dimeter versus welding current using different electrodes (Clss 2 nd Clss 14) nd electrode forces (in kilogrm) for the rss joints. Weld time is 8 cycles. ure, weld filure, nd utton pullout (Fig. 2). Interfce filure ws due to lck of onding or only wek onding etween sheets (Fig. 2). Once weld nugget formed, joints generlly filed through the nugget when the nugget dimeter ws smll or y utton pullout when it ws ove certin size (Fig. 2 or c). Brss Figure 3 shows the plots of peel force or nugget dimeter versus welding current for the rss joints when using Clss 2 or Clss 14 electrodes, nd t weld time of 8 cycles. Both welding current nd electrode force ffected nugget size nd joint strength. Stereoscopic nd SEM oservtions indicted tht weld nuggets generlly ppered very porous, which is elieved due to the very low oiling temperture of zinc (907 C). Zinc will voltilize from the molten metl even with slight superhet. 14 When using Clss 2 electrodes, WME (Fig. 4) strted t welding current of out 2.0 ka (corresponding to nugget dimeter of out 0.8 mm). ESS ws not experienced; however, surfce voids were oserved when the welding current ws 2.6 ka (Fig. 4). If minimum nugget dimeter of 0.4 mm (corresponding to joint strength of out 3 kg) is required, the minimum current needed is out 1.6 ka. The mximum permissile current cn e set t 2.6 kg since

4 Weldility of Thin Sheet Metls during Smll-Scle Resistnce Spot Welding using n Alternting-Current Power Supply 1093 Fig. 4. () An exmple of pulled utton from rss joint with 2.6-kA welding current, Clss-2 electrodes, 4.5-kg electrode force nd 8-cycle weld time. Note the metl tht ws squeezed out during WME (pointed y rrow) nd voids t the utton surfce; () detils of the voids t the utton surfce. Tle I. Welding Current (in kilomps) for 0.4-mm-Dimeter Nugget, WME, nd ESS Sheet Metls Al Brss Cu Electrodes Minimum* Expulsion Sticking Suggested Rnge Clss 2 Clss 14 Clss 2 Clss 14 Clss 2 Clss > >2.1 ~ ~ * The minimum current is determined to produce 0.4-mm-dimeter of weld nuggets. Electrode force is 4.5 kg nd weld time is 8 cycles. Fig. 5. () SEM microgrph showing sheet surfce tht ws djcent to n electrode in rss joint using Clss-14 electrodes, 4.5-kg electrode force, 1.4-kA welding current nd 8-cycle weld time. Note ig hole resulting from molten metl nd melted re (pointed y n rrow); () Detils of the re tht is pointed out y n rrow in (). Note the solidifiction ptterns nd mny other smll melting res. WME did not result in reduction in joint strength nd severe ESS reduces the electrode tip life. Therefore, the current rnge for SSRSW of rss using Clss-2 electrode, 4.5-kg electrode force nd 8-cycle weld time cn e recommended s ka (Tle I). When using Clss 14 electrodes, no WME ws oserved t welding currents up to 1.8 ka. Incresing electrode force from 4.5 kg to 6.8 kg incresed the current threshold to form weld from out 1.0 ka to 1.2 ka (Fig. 3). ESS strted t welding current of ka; incresing electrode force ppered to reduce the tendency of ESS. If gin minimum 0.4-mm

5 1094 Zhou, Gormn, Tn, nd Ely Fig. 6. () Peel force nd () nugget dimeter versus welding current for the Al joints using Clss-14 electrodes, 8-cycle weld time nd different electrode forces (in kilogrm). nugget dimeter is required nd severe ESS is to e voided, the current rnge for SSRSW of rss using Clss-14 electrode, 4.5-kg electrode force nd 8-cycle weld time cn e selected s ka (Tle I). A comprison of the minimum welding current indictes tht lower welding current ws needed to join rss when using Clss 14 electrodes compred with tht when using Clss 2 electrodes (Fig. 3 nd Tle I). However, ESS ws more severe when using Clss 14 electrodes. The onset current for ESS is lower thn tht for WME when using Clss 14 electrodes, ut higher thn tht for WME when using Clss 2 electrodes (Tle I). It is elieved tht ESS ws cused y locl melting t the electrode-sheet interfce (Figs. 4 nd 5). When using Clss 14 electrodes, the ESS ws worse ecuse higher electricl resistivity nd lower therml conductivity of Clss 14 electrodes compred to Clss 2 electrodes would result in higher temperture t the electrode-sheet interfce. Aluminum Figures 6 8 show the plots of peel force or nugget dimeter versus welding current for the Al joints. No effect of electrode force on joint strength nd nugget dimeter ws oserved when welding Al, which is Fig. 7. () Peel force nd () nugget dimeter versus welding current for the Al joints using Clss-14 electrodes, 13-cycle weld time nd different electrode forces (in kilogrm). different from the welding of rss. The reson my e due to the existence of tencious luminum oxide. When using Clss 14 electrodes, incresing welding current incresed the joint strength first, nd then decresed the joint strength, which my e the result of WME nd/or incresed softening of the hetffected zone (HAZ). At 8-cycle weld time (Fig. 6), WME strted t welding current of out 1.0 ka (corresponding to 0.8-mm nugget dimeter pproximtely); lrge voids were oserved on pullout uttons when WME occurred. ESS ws experienced when welding current exceeded ka; incresing electrode force ppers to decrese the tendency of ESS. SEM nlysis showed the ESS ws gin cused y Al surfce melting (Fig. 9). Incresing weld time decresed the current threshold to form weld ut ppered to reduce the joint strength for the higher current vlues (compring Fig. 6 to Fig. 7) nd increse the tendency of ESS nd WME. The current rnge would e recommended s ka for SSRSW of Al using Clss-14 electrodes, 4.5-kg electrode force nd 8-cycle weld time (Tle I). The minimum current is determined t 0.4-mm nugget dimeter (corresponding to joint strength of out 0.8 kg). The mximum current is set t the onset current for WME since the joint strength strted to decrese.

6 Weldility of Thin Sheet Metls during Smll-Scle Resistnce Spot Welding using n Alternting-Current Power Supply 1095 form weld, ut the dt is very scttered nd regression nlysis indicted tht this effect is not sttisticlly significnt (ssuming confidence level of 90%).15 A limited numer of trils lso indicted no decrese in joint strength nd nugget dimeter when the weld time ws reduced from 8 cycles to 4-6 cycles.15 The current rnge would e recommended s ka for SSRSW of Al using Clss-2 electrodes, 4.5-kg electrode force nd 8-cycle weld time (Tle I). The minimum current is gin determined sed on minimum 0.4-mm nugget dimeter. The mximum current is set t 2.1 ka since the joint strength did not decrese when the current is lrger thn the onset current for WME. Similr to the welding of rss, lower welding current ws needed to join Al when using Clss 14 electrodes compred with tht when using Clss 2 electrodes. However, the permissile current ws much smller when using Clss 14 electrodes thn tht when using Clss 2 electrodes (Tle I). Copper Fig. 8. () Peel force nd () nugget dimeter versus welding current for Al joints using Clss-2 electrodes, 8-cycle weld time nd different electrode forces (in kilogrms). When using Clss 2 electrodes, WME strted t welding current of out 1.7 nd 2.0 ka (corresponding to pproximtely 0.7-mm nd 0.8-mm nugget dimeter) when the electrode force ws 2.3 kg nd 4.5 kg, respectively. There is no WME oserved t welding currents up to 2.1 ka when the electrode force ws 6.8 kg. Therefore, incresing electrode force decresed the tendency of WME. No ESS ws experienced when welding currents were up to 2.1 ka. Although Fig. 8 ppered to show tht incresing electrode force decreses the current thresholds to There ws only limited success in SSRSW of Cu. The resons re tht the power required is very high due to very high therml conductivity nd low electricl resistnce of Cu, nd the high het genertion cuses severe ESS or even welding etween the Cu sheets nd electrodes. When using Clss 2 electrodes, the peel force ws out 1 kg when welding current ws out ka (Fig. 10). Joint strength could e further improved y incresing welding current; however, ESS ecme incresingly severe s well, nd the electrodes nd Cu sheets welded together when the welding current ws 3.8 ka (Fig. 11). WME lso occurred when the welding current ws 3.8 ka. The joints produced t this current level chieved joint strength of 3 4 kg nd the dimeter of the pullout utton ws out 1 mm. Limited trils t shorter weld time (4 6 cycles) hs shown tht weld time hs little effect on the nugget size nd joint strength;15 therefore, welding using Clss 2 electrodes cn e done t shorter weld time thn 8 cycles. When using Clss 14 electrodes, the joint strted to form t welding current of out 2.0 ka nd the peel force ws out 1 kg (Fig. 10). ESS ws oserved in ll c Fig. 9. () SEM microgrph showing sheet surfce djcent to n electrode in n Al joint using Clss-14 electrodes, 4.5-kg electrode force, 1.1-kA welding current nd 8-cycle weld time. Detils of () the surfce melting holes nd (c) the melting t grin oundries in ().

7 1096 Zhou, Gormn, Tn, nd Ely Fig. 10. () Peel force nd () nugget dimeter versus welding current for the Cu joints using 4.5-kg electrode force, 8-cycle weld time nd different electrode forces. of these joints (Fig. 12). Joint strength ws improved to out 5 kg when the welding current ws out 2.4 ka. However, it ws ovious from the color chnge t oth the electrode tips nd Cu specimen tht they were over-heted. Joint strengths were decresed to kg t reduced weld times of 2 6 cycles when the welding current ws held constnt t 2.4 ka. This indictes tht weld time hs much lrger effect on the nugget formtion nd joint strength when using Clss 14 electrodes compred to tht when using Clss 2 electrodes. Cu is one of those metls tht re the lest suitle for RSW ecuse of its low electricl resistivity nd high therml conductivity.3,7 Only limited success ws chieved in this study. Oservtions on WME nd ESS when using different electrodes were similr to those for Al nd rss. The effect of weld time on nugget formtion nd joint strength ws clerly shown when using Clss 14 electrodes. Further work is needed to study the SSRSW of Cu ecuse of its wide use in electronic pplictions. DISCUSSION Weldility of Sheet Metls: Process Prmeters Process prmeters (welding current, electrode Fig. 11. () Pullout utton from Cu joint using Clss-2 electrodes, 4.5kg electrode force, 8-cycle weld time nd 3.8-kA welding current. Note the WME nd lso frctured re on the top of the utton pointed y n rrow. () Detils of the re tht is pointed out y the rrow in (). Frctured surfce ws cused y the weld etween the electrode nd sheet Cu. force, weld time, etc.) ll my ffect the joint strength nd nugget size. However, welding current is the most significnt vrile ffecting nugget formtion nd growth ecuse the power generted is proportionl to the squre of welding current s indicted in Eq. 1. The requirement for welding current is lso relted to other process vriles, e.g., lower welding current ws needed when using Clss 14 electrodes compred with tht when using Clss 2 electrodes ecuse of the higher electricl resistnce nd lower therml conductivity of the Clss 14 electrodes. When welding rss, electrode force strongly ffects the current threshold to form weld since electrode force strongly influences the contct resistnce y plsticlly deforming locl contct points nd reking down surfce contminnt lyers.16 Once molten metl zone is formed, contct resistnce is gretly reduced nd its role in nugget development is decresed. Although lower electrode force could reduce the current requirement for forming

8 Weldility of Thin Sheet Metls during Smll-Scle Resistnce Spot Welding using n Alternting-Current Power Supply 1097 Fig. 12. Pullout utton from Cu Joint using Clss-14 electrodes, 4.5- kg electrode force, 8-cycle weld time nd 2.2-kA welding current. Note the surfce voids tht were cused y the ESS. welds y incresing the contct resistnce, it my lso led to unstle/inconsistent resistnce vlues t the contct interfces, 17 which is undesirle in terms of process control. Very high contct resistnce my lso cuse initil splshing/expulsion t the interfce. 18 However, this electrode force effect ws not oserved when welding Al, which my e due to the existence of tencious luminum oxide. It hs een shown tht the sttic contct resistnce t the room temperture etween Al sheets ws not ffected y the electrode force from 0.5 to 10 kg. 15 The mximum nugget dimeter without WME ws out 0.8 mm in this study nd ws much smller thn the electrode tip dimeter of 3.2 mm (lthough the expulsion did not result in gret reduction of the joint strength). This is very different from the LSRSW in which nugget cn generlly grow to size tht is similr to the tip dimeters of the electrodes without WME. 8 The reson for this difference is due to much smller electrode force used during SSRSW. In other words, electrode force determines the mximum nugget dimeter without WME when the electrode geometry is kept constnt; this spect hs een shown y computer simultion. 6,19 It is thought tht this mximum nugget dimeter should lso e relted to mterils chrcteristics, lthough no such reltionship hs een oserved in this work. It hs een reported tht higher electrode forces rodened the process window of welding current, 16 which my e ecuse electrode force cn increse the onset current for WME more thn it cn increse the threshold current to form weld. However, lrge electrode force cn led to excessive surfce indenttion, which is often undesirle during microjoining or precision welding. The effect of weld time ws oserved when using Clss 14 electrodes in which the higher electricl resistivity nd lower therml conductivity of Clss 14 electrodes contriuted to the nugget formtion nd growth. A longer weld time llows more het to e conducted to the sheet metls. However, longer weld time would increse the softening effect t the HAZ nd hence decrese the joint strength when welding cold-worked sheet metls (such s the sheet Al in this study). It hs een oserved tht cold-worked Al (1100-H8) will lose lmost 80% of its originl strength t 200 C. 14 ESS ws mjor prolem when using Clss 14 electrodes compred with Clss 2 electrodes during SSRSW of Al, rss nd Cu lthough using Clss 14 electrodes leds to lower welding current requirement. Higher electricl resistivity nd lower therml conductivity of the Clss 14 electrodes would result in higher temperture t the electrode-sheet interfce, which would promote ESS. Higher electrode force usully reduces the contct resistnce t the electrode-sheet interfce nd, hence, would decrese the het/temperture generted t the interfce nd hence my reduce the tendency of ESS. Incresing rise time or dding current pre-pulse re other wys to reduce the ESS ecuse they cn grdully reduce the contct resistnce etween the electrode nd the workpiece when the current is low, hence reducing the het/temperture generted t the interfce. 15 Weldility of Sheet Metls: Bse Metl Physicl Properties The weldility of Al, rss, nd Cu cn e compred sed on the welding current required to produce given nugget dimeter (e.g., for 0.4-mmnugget, Tle I). Cu is included in Tle I for comprison lthough further work is needed to develop the process prmeters to efficiently weld Cu. It cn e seen tht the weldility of these metls cn e listed in decresing order of Al, rss, nd Cu when using oth Clss 2 nd Clss 14 electrodes, which is not exctly in the sme order of their resistivity or therml conductivity (i.e., rss > A l > Cu, Tle II). 20,21 The current for given nugget dimeter when using Clss 14 electrodes for given metl is lwys lower thn tht when using Clss 2 electrodes, which is resonle ecuse of the higher electricl resistivity nd lower therml conductivity of the Clss 14 elec- Tle II. Physicl Properties Used for Clcultions 20,21 Al Brss Cu Zn Melting point ( C) T (K) Therml conductivity (W/m/K) Electricl resistivity (µωcm) Density (g/cm 3 ) Specific 20 C * (J/kg/K) Ltent het of fusion * (J/g) Totl het (q N ) y Eq * The specific het of rss nd ltent het of fusion of rss re ssumed to e 70% of tht of Cu plus 30% of tht of Zn.

9 1098 Zhou, Gormn, Tn, nd Ely trodes compred to the Clss 2 electrodes. The following is n ttempt to provide qulittive explntion on the oserved weldility order of Al > rss > Cu when using Clss 2 electrodes. Weld nugget formtion depends on the interply of het genertion nd het dissiption in the electrodeworkpiece system. Mthemticlly, Q G = Q N + Q L (2) where, Q G is the het genertion, Q N is the totl het required to form weld nugget, nd Q L is the het loss y conduction into the workpieces nd electrodes, which is determined y the therml conductivities nd geometricl shpes of the workpieces nd electrodes. Assuming Q L = fq N, Eq. 2 ecomes, Q G = (1 + f)q N (3) where f is rtio determined y the reltive mgnitude of Q L nd Q N. Recll, het genertion cn e expressed s, Q G = I 2 Rt (4) where, I is the welding current, R is the electricl resistnce of the workpiece, nd t is the weld time. Therefore, the het genertion is determined y oth process prmeters (i.e., welding current nd weld time), nd the electricl resistivity nd geometricl shpe of the workpieces. The het generted from the electrodes is neglected in this nlysis, which is good pproximtion since the electricl resistivity of the Clss 2 electrodes is very low. The het generted from the contct resistnce t fying interfces is lso neglected to keep the nlysis simple nd workle, which my e resonle when the nugget is firly well developed. The totl het required to form weld nugget (Q N ) includes t lest two prts: the first to het the weld metl to its melting point nd the second to melt the weld metl to form molten nugget (other fctors, such s the het to overhet the molten metl, re neglected in this nlysis). Therefore, Q N = q N V = (ρc p T + ρh) V (5) where, q N is the totl het to form weld nugget per unit volume, ρ is the density of the weld metl, C p is the specific het, T is the temperture rise from the room temperture to the melting point, V is the volume of weld nugget, nd H is the ltent het of fusion per unit volume. Comining Eqs. 3 5 leds to, It f V q 2 N = ( 1+ ) (6) R To compre the welding current required to produce given nugget dimeter t n identicl weld time for different sheet metls, the ove eqution cn e rrnged to e, I Al : I rss : I Cu = ( 1+ ) : ( 1 ) : ( 1 ) + + f q f q f q N N N R R R Al rss Cu (7) Tle III. Comprison of Experimentl nd Clculted Welding Current to Produce 0.4-mm-Dimeter Weld Nuggets Al Brss Cu Experimentl Clculted Note: Both experimentl nd clculted current vlues were normlized using the current for Al using Clss 2 electrodes, respectively. Since the geometry of sheets nd electrodes were identicl for Al, rss, nd Cu, the resistivity of sheet metls cn e used to replce R in Eq. 7. It is lso ssumed tht the rtio of het loss versus the totl het required to from weld nugget (i.e., the f vlue) is identicl in the welding of ll the sheet metls, so the term (1 + f) cn e cncelled out from Eq. 7. With these ssumptions, the current vlues in Eq. 7 re clculted using metl s resistivity nd q N (Tle II) nd then normlized using the clculted current for Al: I Al : I rss : I Cu = 1.0 : 1.3 : 2.9 (8) All these clculted current vlues re listed in Tle III to e compred with the experimentl results. Tle III indictes tht the current order of the experiment is the sme s tht provided y Eq. 8, which implies tht weldility is not only ffected y metls electricl resistivity (or therml conductivity), ut lso ffected y other physicl properties (such s melting point, het of fusion, specific het). However, it is worth pointing out tht the ove nlysis is just qulittive (or semi-quntittive). While the order is correct, the rtios do not gree quite so well ecuse of the very complexity of het genertion nd dissiption in the process. For exmple, no considertion of contct resistnce nd electrode resistnce, nd the ltent het due to Zn vporiztion were included in Eqs. 5 nd 7. The ssumption of n identicl rtio of het loss versus the totl het required to from weld nugget for the sheet metls is questionle since, in relity, the f vlue is neither constnt in the process nor constnt for ll different mterils. However, more detiled nd quntittive nlysis requires numericl modeling. 6,19 CONCLUSION The resistnce weldility of 0.2-mm-thick sheet luminum, rss, nd copper in smll-scle resistnce spot welding (SSRSW) ws studied. The effects of electrode mterils nd process prmeters (welding current, electrode force, nd weld time) on joint strength nd nugget size were investigted. The welding current rnges for SSRSW of the sheet metls were determined sed on the minimum current levels tht produce required nugget dimeter nd the mximum current vlues tht did not result in electrode-sheet sticking (ESS) or weld metl expulsion (WME). Other mjor findings from this study cn e sum-

10 Weldility of Thin Sheet Metls during Smll-Scle Resistnce Spot Welding using n Alternting-Current Power Supply 1099 mrized s follows: Al nd rss re reltively esier to resistnce weld compred with Cu ecuse of their reltively higher electricl resistnce nd lower therml conductivity. It ws found tht resistnce weldility of sheet metls is not only determined y resistivity (or therml conductivity) ut lso ffected y other physicl properties (such s melting point, ltent het of fusion nd specific het). Welding current, electrode force nd weld time ll ffect joint strength nd nugget dimeter, with welding current hving the strongest effect. Incresing electrode force incresed the current threshold to form weld when welding rss; however, no such effect is oserved during welding of Al. Incresing electrode force seems lso to increse the onset current for WME nd ESS. The effect of weld time ws significnt when using Clss 14 electrodes in which the higher electricl resistivity nd lower therml conductivity of Clss 14 electrodes contriuted to the nugget formtion nd growth. The mximum nugget dimeter tht did not result in WME ws much smller thn the electrode tip dimeter, which is quite different from lrge-scle resistnce spot welding in which the mximum nugget dimeter is similr to the electrode tip dimeter. A lower welding current is needed when using Clss 14 electrodes compred with tht when using Clss 2 electrodes. However, the permissile current rnge is much smller ( ka) when using Clss 14 electrodes thn tht when using Clss 2 electrodes (1.0 ka) in the welding of sheet Al nd rss. ACKNOWLEDGEMENT The uthors would like to thnk Dr. G. Kelkr t the Edison Welding Institute nd Dr. B. H. Chng t the University of Wterloo for their useful discussion nd suggestions. We lso cknowledge the dontion of equipment used in this project y Unitek Miychi Corportion. REFERENCES 1. K.I. Johnson, editor, Introduction to Microjoining (Aington, MA: TWI, 1985). 2. C.A. Hrper, Hndook of Mterils nd Processes for Electronics (New York: McGrw-Hill, 1970). 3. Resistnce Welding Mnul, fourth edition (Phildelphi, PA: Resistnce Welder Mnufcturers Assocition, 1989). 4. D.W. Dickinson, J.E. Frnklin, nd A. Stny, Welding Journl, Welding Reserch Supplement 59, 170-s to 176-s (1980). 5. J.E. Gould, Welding Journl, Welding Reserch Supplement 66, 1-s to 10-s (1987). 6. D.J. Browne et l., Welding Journl, Welding Reserch Supplement 74, 417-s to 422-s (1995). 7. AWS, Welding Hndook, Vol. 1, Welding Technology, eighth edition (Mimi, FL: Americn Welding Society, 1987). 8. M.R. Finly, Austrlin Welding Reserch CRC No. 18 (Octoer 1996). 9. E.P. Ptrick, J.R. Auhl, nd T.S. Sun, Understnding the Process Mechnisms Is Key to Relile Resistnce Spot Welding Aluminum Auto Body Components, SAE Technicl Pper #840291(Wrrendle, PA: SAE, 1984). 10. H.R. Lst et l., IEEE Trnsctions on Components, Hyrids, nd Mnufcturing Technology 22, 338 (1999). 11. J.J. Fendrock nd L.M. Hong, IEEE Trnsctions on Components, Hyrids, nd Mnufcturing Technology 13, 376 (1990). 12. C. Knpp, G. Crevensten, nd D. Skinner, ICAWT 98: Joining Applictions in Electronics nd Medicl Devices (Columus, OH: EWI, 1998), pp Y. Zhou, C. Reichert, nd K.J. Ely, ICAWT 98: Joining Applictions in Electronics nd Medicl Devices (Columus, OH: EWI, 1998), pp AWS, Welding Hndook, Vol. 3, Mterils nd Applictions Prt 1, eighth edition (Mimi, FL: Americn Welding Society, 1996). 15. Y. Zhou, P. Gormn, nd K.J. Ely, unpulished work (Edison Welding Institute, 1998). 16. J.G. Kiser, G.L. Dunn, nd T.W. Egr, Welding Journl, Welding Reserch Supplement 61, 167-s to 174-s (1982). 17. W.L. Roerts, Welding Journl, 30, 1004 (1951). 18. E.V. Bumieris nd E.S. Lutsuk, Welding Interntionl 7, 988 (1993). 19. C.L. Tsi, O.A. Jmml, J.C. Ppritn, nd D.W. Dickinson, Welding Journl, Welding Reserch Supplement 71, 47-s to 54-s (1992). 20. R.R. Tumml nd E.J. Rymszewski, editors, Microelectronics Pckging Hndook (New York: Vn Nostrnd Reinhold, 1989). 21. E.A. Brndes, Smithells Metls Reference Book, sixth edition (London: Butterworths, 1983).

Experiment 6: Friction

Experiment 6: Friction Experiment 6: Friction In previous lbs we studied Newton s lws in n idel setting, tht is, one where friction nd ir resistnce were ignored. However, from our everydy experience with motion, we know tht

More information

** Dpt. Chemical Engineering, Kasetsart University, Bangkok 10900, Thailand

** Dpt. Chemical Engineering, Kasetsart University, Bangkok 10900, Thailand Modelling nd Simultion of hemicl Processes in Multi Pulse TP Experiment P. Phnwdee* S.O. Shekhtmn +. Jrungmnorom** J.T. Gleves ++ * Dpt. hemicl Engineering, Ksetsrt University, Bngkok 10900, Thilnd + Dpt.hemicl

More information

Rotating DC Motors Part II

Rotating DC Motors Part II Rotting Motors rt II II.1 Motor Equivlent Circuit The next step in our consiertion of motors is to evelop n equivlent circuit which cn be use to better unerstn motor opertion. The rmtures in rel motors

More information

Economics Letters 65 (1999) 9 15. macroeconomists. a b, Ruth A. Judson, Ann L. Owen. Received 11 December 1998; accepted 12 May 1999

Economics Letters 65 (1999) 9 15. macroeconomists. a b, Ruth A. Judson, Ann L. Owen. Received 11 December 1998; accepted 12 May 1999 Economics Letters 65 (1999) 9 15 Estimting dynmic pnel dt models: guide for q mcroeconomists b, * Ruth A. Judson, Ann L. Owen Federl Reserve Bord of Governors, 0th & C Sts., N.W. Wshington, D.C. 0551,

More information

Or more simply put, when adding or subtracting quantities, their uncertainties add.

Or more simply put, when adding or subtracting quantities, their uncertainties add. Propgtion of Uncertint through Mthemticl Opertions Since the untit of interest in n eperiment is rrel otined mesuring tht untit directl, we must understnd how error propgtes when mthemticl opertions re

More information

Section 5-4 Trigonometric Functions

Section 5-4 Trigonometric Functions 5- Trigonometric Functions Section 5- Trigonometric Functions Definition of the Trigonometric Functions Clcultor Evlution of Trigonometric Functions Definition of the Trigonometric Functions Alternte Form

More information

Graphs on Logarithmic and Semilogarithmic Paper

Graphs on Logarithmic and Semilogarithmic Paper 0CH_PHClter_TMSETE_ 3//00 :3 PM Pge Grphs on Logrithmic nd Semilogrithmic Pper OBJECTIVES When ou hve completed this chpter, ou should be ble to: Mke grphs on logrithmic nd semilogrithmic pper. Grph empiricl

More information

Uplift Capacity of K-Series Open Web Steel Joist Seats. Florida, Gainesville, FL 32611; email: psgreen@ce.ufl.edu

Uplift Capacity of K-Series Open Web Steel Joist Seats. Florida, Gainesville, FL 32611; email: psgreen@ce.ufl.edu Uplift Cpcity of K-Series Open Web Steel Joist Sets Perry S. Green, Ph.D, M.ASCE 1 nd Thoms Sputo, Ph.D., P.E., M.ASCE 2 1 Assistnt Professor, Deprtment of Civil nd Costl Engineering, University of Florid,

More information

TITLE THE PRINCIPLES OF COIN-TAP METHOD OF NON-DESTRUCTIVE TESTING

TITLE THE PRINCIPLES OF COIN-TAP METHOD OF NON-DESTRUCTIVE TESTING TITLE THE PRINCIPLES OF COIN-TAP METHOD OF NON-DESTRUCTIVE TESTING Sung Joon Kim*, Dong-Chul Che Kore Aerospce Reserch Institute, 45 Eoeun-Dong, Youseong-Gu, Dejeon, 35-333, Kore Phone : 82-42-86-231 FAX

More information

DlNBVRGH + Sickness Absence Monitoring Report. Executive of the Council. Purpose of report

DlNBVRGH + Sickness Absence Monitoring Report. Executive of the Council. Purpose of report DlNBVRGH + + THE CITY OF EDINBURGH COUNCIL Sickness Absence Monitoring Report Executive of the Council 8fh My 4 I.I...3 Purpose of report This report quntifies the mount of working time lost s result of

More information

THE PARAMETERS OF TRAPS IN K-FELDSPARS AND THE TL BLEACHING EFFICIENCY

THE PARAMETERS OF TRAPS IN K-FELDSPARS AND THE TL BLEACHING EFFICIENCY GEOCHRONOMETRIA Vol. 2, pp 15-2, 21 Journl on Methods nd Applictions of Asolute Chronology THE PARAMETERS OF TRAPS IN K-FELDSPARS AND THE TL BLEACHING EFFICIENCY ALICJA CHRUŒCIÑSKA 1, HUBERT L. OCZKOWSKI

More information

Small Businesses Decisions to Offer Health Insurance to Employees

Small Businesses Decisions to Offer Health Insurance to Employees Smll Businesses Decisions to Offer Helth Insurnce to Employees Ctherine McLughlin nd Adm Swinurn, June 2014 Employer-sponsored helth insurnce (ESI) is the dominnt source of coverge for nonelderly dults

More information

Operations with Polynomials

Operations with Polynomials 38 Chpter P Prerequisites P.4 Opertions with Polynomils Wht you should lern: Write polynomils in stndrd form nd identify the leding coefficients nd degrees of polynomils Add nd subtrct polynomils Multiply

More information

Reasoning to Solve Equations and Inequalities

Reasoning to Solve Equations and Inequalities Lesson4 Resoning to Solve Equtions nd Inequlities In erlier work in this unit, you modeled situtions with severl vriles nd equtions. For exmple, suppose you were given usiness plns for concert showing

More information

The Acoustic Design of Soundproofing Doors and Windows

The Acoustic Design of Soundproofing Doors and Windows 3 The Open Acoustics Journl, 1, 3, 3-37 The Acoustic Design of Soundproofing Doors nd Windows Open Access Nishimur Yuy,1, Nguyen Huy Qung, Nishimur Sohei 1, Nishimur Tsuyoshi 3 nd Yno Tkshi 1 Kummoto Ntionl

More information

Treatment Spring Late Summer Fall 0.10 5.56 3.85 0.61 6.97 3.01 1.91 3.01 2.13 2.99 5.33 2.50 1.06 3.53 6.10 Mean = 1.33 Mean = 4.88 Mean = 3.

Treatment Spring Late Summer Fall 0.10 5.56 3.85 0.61 6.97 3.01 1.91 3.01 2.13 2.99 5.33 2.50 1.06 3.53 6.10 Mean = 1.33 Mean = 4.88 Mean = 3. The nlysis of vrince (ANOVA) Although the t-test is one of the most commonly used sttisticl hypothesis tests, it hs limittions. The mjor limittion is tht the t-test cn be used to compre the mens of only

More information

The Effect of Crumb Rubber Modifier (CRM) on the Performance Properties of Rubberized Binders in HMA pavements

The Effect of Crumb Rubber Modifier (CRM) on the Performance Properties of Rubberized Binders in HMA pavements The Effect of Crum Ruer Modifier (CRM) on the Performnce Properties of Ruerized Binders in HMA pvements Soon-Je Lee* Ph.D. Grdute Student Deprtment of Civil Engineering Clemson University Clemson, SC 29634-0911

More information

COMPONENTS: COMBINED LOADING

COMPONENTS: COMBINED LOADING LECTURE COMPONENTS: COMBINED LOADING Third Edition A. J. Clrk School of Engineering Deprtment of Civil nd Environmentl Engineering 24 Chpter 8.4 by Dr. Ibrhim A. Asskkf SPRING 2003 ENES 220 Mechnics of

More information

Effect of viscosity on C sugar in Beet sugar factories

Effect of viscosity on C sugar in Beet sugar factories ANNUAL TRANSACTIONS OF THE NORDIC RHEOLOGY SOCIETY, VOL. 16, 2008 Effect of on C sugr in Beet sugr fctories Mohmmd Hojjtoleslmy 1, Rez Shokrni 2 nd Ahmd Krsi 3 1 Deprtment of food technology, College of

More information

COVER CROP VARIETY AND SEEDING RATE EFFECTS ON WINTER WEED SEED PRODUCTION

COVER CROP VARIETY AND SEEDING RATE EFFECTS ON WINTER WEED SEED PRODUCTION COVER CROP VARIETY AND SEEDING RATE EFFECTS ON WINTER WEED SEED PRODUCTION Nthn S. Boyd nd Eric B. Brennn, USDA-ARS, Orgnic Reserch Progrm, 1636 E. Alisl Street, Slins, CA 93905 Astrct Weed mngement is

More information

The Velocity Factor of an Insulated Two-Wire Transmission Line

The Velocity Factor of an Insulated Two-Wire Transmission Line The Velocity Fctor of n Insulted Two-Wire Trnsmission Line Problem Kirk T. McDonld Joseph Henry Lbortories, Princeton University, Princeton, NJ 08544 Mrch 7, 008 Estimte the velocity fctor F = v/c nd the

More information

THERMAL EXPANSION OF TUNGSTEN

THERMAL EXPANSION OF TUNGSTEN . THERMAL EXPANSION OF TUNGSTEN S515 By Peter Hidnert nd W. T. Sweeney ABSTRACT This pper gives the results of n investigtion on the therml expnsion of tungsten (99.98 per cent) over vrious temperture

More information

ANALYSIS OF THERMAL STRATIFICATION IN THE PRIMARY CIRCUIT WITH THE CFX CODE

ANALYSIS OF THERMAL STRATIFICATION IN THE PRIMARY CIRCUIT WITH THE CFX CODE ANALYSIS OF THERMAL STRATIFICATION IN THE PRIMARY CIRCUIT WITH THE CFX CODE Ildikó Boros, Dr. Attil Aszódi Budpest University of Technology nd Economics, Institute of Nucler Techniques Abstrct The therml

More information

Pentominoes. Pentominoes. Bruce Baguley Cascade Math Systems, LLC. The pentominoes are a simple-looking set of objects through which some powerful

Pentominoes. Pentominoes. Bruce Baguley Cascade Math Systems, LLC. The pentominoes are a simple-looking set of objects through which some powerful Pentominoes Bruce Bguley Cscde Mth Systems, LLC Astrct. Pentominoes nd their reltives the polyominoes, polycues, nd polyhypercues will e used to explore nd pply vrious importnt mthemticl concepts. In this

More information

Utilization of Magnesium Hydroxide Produced by Magnesia Hydration as Fire Retardant for Nylon 6-6,6

Utilization of Magnesium Hydroxide Produced by Magnesia Hydration as Fire Retardant for Nylon 6-6,6 C O M U N I C A Ç Ã O Utiliztion of Mgnesium Hydroxide Produced y Mgnesi Hydrtion s Fire Retrdnt for Nylon 6-6,6 Sôni D.F. Roch Deprtmento de Engenhri Químic, UFMG Virgíni S.T. Ciminelli Deprtmento de

More information

The International Association for the Properties of Water and Steam. Release on the Ionization Constant of H 2 O

The International Association for the Properties of Water and Steam. Release on the Ionization Constant of H 2 O The Interntionl Assocition for the Properties of Wter nd Stem Lucerne, Sitzerlnd August 7 Relese on the Ioniztion Constnt of H O 7 The Interntionl Assocition for the Properties of Wter nd Stem Publiction

More information

2 DIODE CLIPPING and CLAMPING CIRCUITS

2 DIODE CLIPPING and CLAMPING CIRCUITS 2 DIODE CLIPPING nd CLAMPING CIRCUITS 2.1 Ojectives Understnding the operting principle of diode clipping circuit Understnding the operting principle of clmping circuit Understnding the wveform chnge of

More information

Why is the NSW prison population falling?

Why is the NSW prison population falling? NSW Bureu of Crime Sttistics nd Reserch Bureu Brief Issue pper no. 80 September 2012 Why is the NSW prison popultion flling? Jcqueline Fitzgerld & Simon Corben 1 Aim: After stedily incresing for more thn

More information

Polynomial Functions. Polynomial functions in one variable can be written in expanded form as ( )

Polynomial Functions. Polynomial functions in one variable can be written in expanded form as ( ) Polynomil Functions Polynomil functions in one vrible cn be written in expnded form s n n 1 n 2 2 f x = x + x + x + + x + x+ n n 1 n 2 2 1 0 Exmples of polynomils in expnded form re nd 3 8 7 4 = 5 4 +

More information

Design Example 1 Special Moment Frame

Design Example 1 Special Moment Frame Design Exmple 1 pecil Moment Frme OVERVIEW tructurl steel specil moment frmes (MF) re typiclly comprised of wide-flnge bems, columns, nd bem-column connections. Connections re proportioned nd detiled to

More information

CS99S Laboratory 2 Preparation Copyright W. J. Dally 2001 October 1, 2001

CS99S Laboratory 2 Preparation Copyright W. J. Dally 2001 October 1, 2001 CS99S Lortory 2 Preprtion Copyright W. J. Dlly 2 Octoer, 2 Ojectives:. Understnd the principle of sttic CMOS gte circuits 2. Build simple logic gtes from MOS trnsistors 3. Evlute these gtes to oserve logic

More information

Week 11 - Inductance

Week 11 - Inductance Week - Inductnce November 6, 202 Exercise.: Discussion Questions ) A trnsformer consists bsiclly of two coils in close proximity but not in electricl contct. A current in one coil mgneticlly induces n

More information

EQUATIONS OF LINES AND PLANES

EQUATIONS OF LINES AND PLANES EQUATIONS OF LINES AND PLANES MATH 195, SECTION 59 (VIPUL NAIK) Corresponding mteril in the ook: Section 12.5. Wht students should definitely get: Prmetric eqution of line given in point-direction nd twopoint

More information

Basic Analysis of Autarky and Free Trade Models

Basic Analysis of Autarky and Free Trade Models Bsic Anlysis of Autrky nd Free Trde Models AUTARKY Autrky condition in prticulr commodity mrket refers to sitution in which country does not engge in ny trde in tht commodity with other countries. Consequently

More information

Space Vector Pulse Width Modulation Based Induction Motor with V/F Control

Space Vector Pulse Width Modulation Based Induction Motor with V/F Control Interntionl Journl of Science nd Reserch (IJSR) Spce Vector Pulse Width Modultion Bsed Induction Motor with V/F Control Vikrmrjn Jmbulingm Electricl nd Electronics Engineering, VIT University, Indi Abstrct:

More information

Bayesian Updating with Continuous Priors Class 13, 18.05, Spring 2014 Jeremy Orloff and Jonathan Bloom

Bayesian Updating with Continuous Priors Class 13, 18.05, Spring 2014 Jeremy Orloff and Jonathan Bloom Byesin Updting with Continuous Priors Clss 3, 8.05, Spring 04 Jeremy Orloff nd Jonthn Bloom Lerning Gols. Understnd prmeterized fmily of distriutions s representing continuous rnge of hypotheses for the

More information

Simulation of operation modes of isochronous cyclotron by a new interative method

Simulation of operation modes of isochronous cyclotron by a new interative method NUKLEONIKA 27;52(1):29 34 ORIGINAL PAPER Simultion of opertion modes of isochronous cyclotron y new intertive method Ryszrd Trszkiewicz, Mrek Tlch, Jcek Sulikowski, Henryk Doruch, Tdeusz Norys, Artur Srok,

More information

, and the number of electrons is -19. e e 1.60 10 C. The negatively charged electrons move in the direction opposite to the conventional current flow.

, and the number of electrons is -19. e e 1.60 10 C. The negatively charged electrons move in the direction opposite to the conventional current flow. Prolem 1. f current of 80.0 ma exists in metl wire, how mny electrons flow pst given cross section of the wire in 10.0 min? Sketch the directions of the current nd the electrons motion. Solution: The chrge

More information

J4.12 REGIONAL HYDROLOGICAL CYCLE AND WEATHER AND CLIMATE IN THE CONTIGUOUS UNITED STATES

J4.12 REGIONAL HYDROLOGICAL CYCLE AND WEATHER AND CLIMATE IN THE CONTIGUOUS UNITED STATES J4.12 REGIONAL HYDROLOGICAL CYCLE AND WEATHER AND CLIMATE IN THE CONTIGUOUS UNITED STATES 1. INTRODUCTION i Hu 1 nd Song Feng Climte nd Bio-Atmospheric Sciences rogrm School of Nturl Resource Sciences

More information

PROBLEMS 13 - APPLICATIONS OF DERIVATIVES Page 1

PROBLEMS 13 - APPLICATIONS OF DERIVATIVES Page 1 PROBLEMS - APPLICATIONS OF DERIVATIVES Pge ( ) Wter seeps out of conicl filter t the constnt rte of 5 cc / sec. When the height of wter level in the cone is 5 cm, find the rte t which the height decreses.

More information

An Undergraduate Curriculum Evaluation with the Analytic Hierarchy Process

An Undergraduate Curriculum Evaluation with the Analytic Hierarchy Process An Undergrdute Curriculum Evlution with the Anlytic Hierrchy Process Les Frir Jessic O. Mtson Jck E. Mtson Deprtment of Industril Engineering P.O. Box 870288 University of Albm Tuscloos, AL. 35487 Abstrct

More information

Utilization of Smoking Cessation Benefits in Medicaid Managed Care, 2009-2013

Utilization of Smoking Cessation Benefits in Medicaid Managed Care, 2009-2013 Utiliztion of Smoking Cesstion Benefits in Medicid Mnged Cre, 2009-2013 Office of Qulity nd Ptient Sfety New York Stte Deprtment of Helth Jnury 2015 Introduction According to the New York Stte Tocco Control

More information

1. In the Bohr model, compare the magnitudes of the electron s kinetic and potential energies in orbit. What does this imply?

1. In the Bohr model, compare the magnitudes of the electron s kinetic and potential energies in orbit. What does this imply? Assignment 3: Bohr s model nd lser fundmentls 1. In the Bohr model, compre the mgnitudes of the electron s kinetic nd potentil energies in orit. Wht does this imply? When n electron moves in n orit, the

More information

Factoring Polynomials

Factoring Polynomials Fctoring Polynomils Some definitions (not necessrily ll for secondry school mthemtics): A polynomil is the sum of one or more terms, in which ech term consists of product of constnt nd one or more vribles

More information

Use Geometry Expressions to create a more complex locus of points. Find evidence for equivalence using Geometry Expressions.

Use Geometry Expressions to create a more complex locus of points. Find evidence for equivalence using Geometry Expressions. Lerning Objectives Loci nd Conics Lesson 3: The Ellipse Level: Preclculus Time required: 120 minutes In this lesson, students will generlize their knowledge of the circle to the ellipse. The prmetric nd

More information

Helicopter Theme and Variations

Helicopter Theme and Variations Helicopter Theme nd Vritions Or, Some Experimentl Designs Employing Pper Helicopters Some possible explntory vribles re: Who drops the helicopter The length of the rotor bldes The height from which the

More information

Sensorless Force Estimation for Robots with Friction

Sensorless Force Estimation for Robots with Friction Proc. Austrlsin Conference on Rootics nd Automtion Aucklnd, 7-9 Novemer Sensorless orce Estimtion for Roots with riction John W.L Simpson, Chris D Cook, Zheng Li School of Electricl, Computer nd Telecommunictions

More information

Rate and Activation Energy of the Iodination of Acetone

Rate and Activation Energy of the Iodination of Acetone nd Activtion Energ of the Iodintion of Acetone rl N. eer Dte of Eperiment: //00 Florence F. Ls (prtner) Abstrct: The rte, rte lw nd ctivtion energ of the iodintion of cetone re detered b observing the

More information

Answer, Key Homework 10 David McIntyre 1

Answer, Key Homework 10 David McIntyre 1 Answer, Key Homework 10 Dvid McIntyre 1 This print-out should hve 22 questions, check tht it is complete. Multiple-choice questions my continue on the next column or pge: find ll choices efore mking your

More information

COMPARISON OF SOME METHODS TO FIT A MULTIPLICATIVE TARIFF STRUCTURE TO OBSERVED RISK DATA BY B. AJNE. Skandza, Stockholm ABSTRACT

COMPARISON OF SOME METHODS TO FIT A MULTIPLICATIVE TARIFF STRUCTURE TO OBSERVED RISK DATA BY B. AJNE. Skandza, Stockholm ABSTRACT COMPARISON OF SOME METHODS TO FIT A MULTIPLICATIVE TARIFF STRUCTURE TO OBSERVED RISK DATA BY B. AJNE Skndz, Stockholm ABSTRACT Three methods for fitting multiplictive models to observed, cross-clssified

More information

Module 2. Analysis of Statically Indeterminate Structures by the Matrix Force Method. Version 2 CE IIT, Kharagpur

Module 2. Analysis of Statically Indeterminate Structures by the Matrix Force Method. Version 2 CE IIT, Kharagpur Module Anlysis of Stticlly Indeterminte Structures by the Mtrix Force Method Version CE IIT, Khrgpur esson 9 The Force Method of Anlysis: Bems (Continued) Version CE IIT, Khrgpur Instructionl Objectives

More information

Project 6 Aircraft static stability and control

Project 6 Aircraft static stability and control Project 6 Aircrft sttic stbility nd control The min objective of the project No. 6 is to compute the chrcteristics of the ircrft sttic stbility nd control chrcteristics in the pitch nd roll chnnel. The

More information

9 CONTINUOUS DISTRIBUTIONS

9 CONTINUOUS DISTRIBUTIONS 9 CONTINUOUS DISTIBUTIONS A rndom vrible whose vlue my fll nywhere in rnge of vlues is continuous rndom vrible nd will be ssocited with some continuous distribution. Continuous distributions re to discrete

More information

Regular Sets and Expressions

Regular Sets and Expressions Regulr Sets nd Expressions Finite utomt re importnt in science, mthemtics, nd engineering. Engineers like them ecuse they re super models for circuits (And, since the dvent of VLSI systems sometimes finite

More information

Data replication in mobile computing

Data replication in mobile computing Technicl Report, My 2010 Dt repliction in mobile computing Bchelor s Thesis in Electricl Engineering Rodrigo Christovm Pmplon HALMSTAD UNIVERSITY, IDE SCHOOL OF INFORMATION SCIENCE, COMPUTER AND ELECTRICAL

More information

Welding procedure qualification tests of steels for hull construction and marine structures

Welding procedure qualification tests of steels for hull construction and marine structures (June 2005) (Rev.1 Nov 2006) (Rev.2 Mr 2012) Welding procedure qulifiction tests of steels for hull construction nd mrine structures 1. Scope 1.1 This document gives requirements for qulifiction tests

More information

4/3-, 4/2- and 3/2- directional valves with switching time adjustment, Model 5-.WE 10 (5-chamber version)

4/3-, 4/2- and 3/2- directional valves with switching time adjustment, Model 5-.WE 10 (5-chamber version) RA 23 351/9.99 RA 23 351/9.99 Replces: 6.98, 8.9 4/3-, 4/2- nd 3/2- directionl vlves with switching time djustment, Model 5-.WE 1 (5-chmer version) Nominl size 1 Series 3X Mximum operting pressure 4569

More information

1. Find the zeros Find roots. Set function = 0, factor or use quadratic equation if quadratic, graph to find zeros on calculator

1. Find the zeros Find roots. Set function = 0, factor or use quadratic equation if quadratic, graph to find zeros on calculator AP Clculus Finl Review Sheet When you see the words. This is wht you think of doing. Find the zeros Find roots. Set function =, fctor or use qudrtic eqution if qudrtic, grph to find zeros on clcultor.

More information

PROF. BOYAN KOSTADINOV NEW YORK CITY COLLEGE OF TECHNOLOGY, CUNY

PROF. BOYAN KOSTADINOV NEW YORK CITY COLLEGE OF TECHNOLOGY, CUNY MAT 0630 INTERNET RESOURCES, REVIEW OF CONCEPTS AND COMMON MISTAKES PROF. BOYAN KOSTADINOV NEW YORK CITY COLLEGE OF TECHNOLOGY, CUNY Contents 1. ACT Compss Prctice Tests 1 2. Common Mistkes 2 3. Distributive

More information

A.7.1 Trigonometric interpretation of dot product... 324. A.7.2 Geometric interpretation of dot product... 324

A.7.1 Trigonometric interpretation of dot product... 324. A.7.2 Geometric interpretation of dot product... 324 A P P E N D I X A Vectors CONTENTS A.1 Scling vector................................................ 321 A.2 Unit or Direction vectors...................................... 321 A.3 Vector ddition.................................................

More information

All pay auctions with certain and uncertain prizes a comment

All pay auctions with certain and uncertain prizes a comment CENTER FOR RESEARC IN ECONOMICS AND MANAGEMENT CREAM Publiction No. 1-2015 All py uctions with certin nd uncertin prizes comment Christin Riis All py uctions with certin nd uncertin prizes comment Christin

More information

Duration and Magnitude of Myofascial Release in 3-Dimensional Bioengineered Tendons: Effects on Wound Healing

Duration and Magnitude of Myofascial Release in 3-Dimensional Bioengineered Tendons: Effects on Wound Healing Durtion nd Mgnitude of Myofscil Relese in 3-Dimensionl Bioengineered Tendons: Effects on Wound Heling Thnh V. Co, BSc; Michel R. Hicks, PhD; Mnl Zein-Hmmoud, PhD; nd Pul R. Stndley, PhD From the Deprtment

More information

EE247 Lecture 4. For simplicity, will start with all pole ladder type filters. Convert to integrator based form- example shown

EE247 Lecture 4. For simplicity, will start with all pole ladder type filters. Convert to integrator based form- example shown EE247 Lecture 4 Ldder type filters For simplicity, will strt with ll pole ldder type filters Convert to integrtor bsed form exmple shown Then will ttend to high order ldder type filters incorporting zeros

More information

Understanding Life Cycle Costs How a Northern Pump Saves You Money

Understanding Life Cycle Costs How a Northern Pump Saves You Money Understnding Life Cycle Costs How Nrn Pump Sves You Money Reference: Hydrulic Institute (www.s.g) Introduction Wht Life Cycle Cost (LCC) Clculting Totl LCC LCC Components Wht Life Cycle Cost Life Cycle

More information

Appendix D: Completing the Square and the Quadratic Formula. In Appendix A, two special cases of expanding brackets were considered:

Appendix D: Completing the Square and the Quadratic Formula. In Appendix A, two special cases of expanding brackets were considered: Appendi D: Completing the Squre nd the Qudrtic Formul Fctoring qudrtic epressions such s: + 6 + 8 ws one of the topics introduced in Appendi C. Fctoring qudrtic epressions is useful skill tht cn help you

More information

Quality Evaluation of Entrepreneur Education on Graduate Students Based on AHP-fuzzy Comprehensive Evaluation Approach ZhongXiaojun 1, WangYunfeng 2

Quality Evaluation of Entrepreneur Education on Graduate Students Based on AHP-fuzzy Comprehensive Evaluation Approach ZhongXiaojun 1, WangYunfeng 2 Interntionl Journl of Engineering Reserch & Science (IJOER) ISSN [2395-6992] [Vol-2, Issue-1, Jnury- 2016] Qulity Evlution of Entrepreneur Eduction on Grdute Students Bsed on AHP-fuzzy Comprehensive Evlution

More information

Performance Monitoring Fundamentals: Demystifying Performance Assessment Techniques

Performance Monitoring Fundamentals: Demystifying Performance Assessment Techniques Performnce Monitoring Fundmentls: Demystifying Performnce Assessment Techniques Roert C. Rice, PhD Rchelle R. Jyringi Dougls J. Cooper, PhD Control Sttion, Inc. Deprtment of Chemicl Engineering Control

More information

Correction methods for pulsed neutron source reactivity measurement in accelerator driven systems

Correction methods for pulsed neutron source reactivity measurement in accelerator driven systems NUKLEONIKA 2013;58(2):287 293 ORIGINAL PAPER Correction methods for pulsed neutron source rectivity mesurement in ccelertor driven systems Pweł Gjd, Jerzy Jnczyszyn, Włdysłw Pohorecki Astrct. Importnt

More information

Health Information Systems: evaluation and performance of a Help Desk

Health Information Systems: evaluation and performance of a Help Desk 536 Digitl Helthcre Empowering Europens R. Cornet et l. (Eds.) 2015 Europen Federtion for Medicl Informtics (EFMI). This rticle is published online with Open Access by IOS Press nd distributed under the

More information

Solenoid Operated Proportional Directional Control Valve (with Pressure Compensation, Multiple Valve Series)

Solenoid Operated Proportional Directional Control Valve (with Pressure Compensation, Multiple Valve Series) Solenoid Operted Proportionl Directionl Control Vlve (with Pressure Compenstion, Multiple Vlve Series) Hydrulic circuit (Exmple) v Fetures hese stcking type control vlves show pressure compensted type

More information

Two hours UNIVERSITY OF MANCHESTER SCHOOL OF COMPUTER SCIENCE. Date: Friday 16 th May 2008. Time: 14:00 16:00

Two hours UNIVERSITY OF MANCHESTER SCHOOL OF COMPUTER SCIENCE. Date: Friday 16 th May 2008. Time: 14:00 16:00 COMP20212 Two hours UNIVERSITY OF MANCHESTER SCHOOL OF COMPUTER SCIENCE Digitl Design Techniques Dte: Fridy 16 th My 2008 Time: 14:00 16:00 Plese nswer ny THREE Questions from the FOUR questions provided

More information

Performance analysis model for big data applications in cloud computing

Performance analysis model for big data applications in cloud computing Butist Villlpndo et l. Journl of Cloud Computing: Advnces, Systems nd Applictions 2014, 3:19 RESEARCH Performnce nlysis model for big dt pplictions in cloud computing Luis Edurdo Butist Villlpndo 1,2,

More information

P.3 Polynomials and Factoring. P.3 an 1. Polynomial STUDY TIP. Example 1 Writing Polynomials in Standard Form. What you should learn

P.3 Polynomials and Factoring. P.3 an 1. Polynomial STUDY TIP. Example 1 Writing Polynomials in Standard Form. What you should learn 33337_0P03.qp 2/27/06 24 9:3 AM Chpter P Pge 24 Prerequisites P.3 Polynomils nd Fctoring Wht you should lern Polynomils An lgeric epression is collection of vriles nd rel numers. The most common type of

More information

Author's personal copy

Author's personal copy Building nd Environment 44 (09) 16 1317 Contents lists ville t ScienceDirect Building nd Environment journl homepge: www.elsevier.com/locte/uildenv On stirwell nd elevtor shft pressuriztion for smoke control

More information

APPLICATIONS OF X-RAY MICRODIFFRACTION IN THE IMAGING INDUSTRY

APPLICATIONS OF X-RAY MICRODIFFRACTION IN THE IMAGING INDUSTRY 352 APPLICATIONS OF X-RAY MICRODIFFRACTION IN THE IMAGING INDUSTRY Thoms N. Blnton Estmn Kodk Compny, Reserch Lortories Foundtion Science Center, Rochester, New York 14650-2106, USA ABSTRACT Chrcteriztion

More information

APPLICATION NOTE Revision 3.0 MTD/PS-0534 August 13, 2008 KODAK IMAGE SENDORS COLOR CORRECTION FOR IMAGE SENSORS

APPLICATION NOTE Revision 3.0 MTD/PS-0534 August 13, 2008 KODAK IMAGE SENDORS COLOR CORRECTION FOR IMAGE SENSORS APPLICATION NOTE Revision 3.0 MTD/PS-0534 August 13, 2008 KODAK IMAGE SENDORS COLOR CORRECTION FOR IMAGE SENSORS TABLE OF FIGURES Figure 1: Spectrl Response of CMOS Imge Sensor...3 Figure 2: Byer CFA Ptterns...4

More information

UNIVERSITY OF NOTTINGHAM. Discussion Papers in Economics STRATEGIC SECOND SOURCING IN A VERTICAL STRUCTURE

UNIVERSITY OF NOTTINGHAM. Discussion Papers in Economics STRATEGIC SECOND SOURCING IN A VERTICAL STRUCTURE UNVERSTY OF NOTTNGHAM Discussion Ppers in Economics Discussion Pper No. 04/15 STRATEGC SECOND SOURCNG N A VERTCAL STRUCTURE By Arijit Mukherjee September 004 DP 04/15 SSN 10-438 UNVERSTY OF NOTTNGHAM Discussion

More information

Quantum hydrodynamics

Quantum hydrodynamics Outline 1 2 Peter vn der Strten Atom Optics nd Ultrfst Dynmics 3 theory experiment 4 Het trnsfer elow T c 5 Summry nd Outlook 1 / 8 2 / 8 Tisz-Lndu two-fluid hydrodynmics (1938-1941) Superfluid: component

More information

CHAPTER 11 Numerical Differentiation and Integration

CHAPTER 11 Numerical Differentiation and Integration CHAPTER 11 Numericl Differentition nd Integrtion Differentition nd integrtion re bsic mthemticl opertions with wide rnge of pplictions in mny res of science. It is therefore importnt to hve good methods

More information

Math 314, Homework Assignment 1. 1. Prove that two nonvertical lines are perpendicular if and only if the product of their slopes is 1.

Math 314, Homework Assignment 1. 1. Prove that two nonvertical lines are perpendicular if and only if the product of their slopes is 1. Mth 4, Homework Assignment. Prove tht two nonverticl lines re perpendiculr if nd only if the product of their slopes is. Proof. Let l nd l e nonverticl lines in R of slopes m nd m, respectively. Suppose

More information

Recognition Scheme Forensic Science Content Within Educational Programmes

Recognition Scheme Forensic Science Content Within Educational Programmes Recognition Scheme Forensic Science Content Within Eductionl Progrmmes one Introduction The Chrtered Society of Forensic Sciences (CSoFS) hs been ccrediting the forensic content of full degree courses

More information

Technical Specification for arcon Coatings

Technical Specification for arcon Coatings Technicl Specifiction for rcon Cotings Issue: 204-0-28 File: Technicl Specifiction for rcon Cotings.doc Pge of 2 Scope of vlidity The Technicl Specifiction for rcon Cotings pplies to ll low-e nd solr control

More information

PHY 222 Lab 8 MOTION OF ELECTRONS IN ELECTRIC AND MAGNETIC FIELDS

PHY 222 Lab 8 MOTION OF ELECTRONS IN ELECTRIC AND MAGNETIC FIELDS PHY 222 Lb 8 MOTION OF ELECTRONS IN ELECTRIC AND MAGNETIC FIELDS Nme: Prtners: INTRODUCTION Before coming to lb, plese red this pcket nd do the prelb on pge 13 of this hndout. From previous experiments,

More information

PSYCHROMETRICS: HEATING & HUMIDIFYING or COOLING & DEHUMIDIFYING

PSYCHROMETRICS: HEATING & HUMIDIFYING or COOLING & DEHUMIDIFYING PSYCHROMETRICS: HEATING & HUMIDIYING or COOLING & DEHUMIDIYING I) Objective The objective of this experiment is to exmine the stte of moist ir s it enters nd psses through the ir hndling unit. When ether

More information

10. Testing of Welded Joints

10. Testing of Welded Joints 1. Testing of Welded Joints S S S S S S S S S S 1. Testing of Welded Joints 126 d = specimen dimeter d 1 = hed dimeter depending on clmping device L C = test length = L + d/2 r = 2 mm r r L s L L c L t

More information

Pure C4. Revision Notes

Pure C4. Revision Notes Pure C4 Revision Notes Mrch 0 Contents Core 4 Alger Prtil frctions Coordinte Geometry 5 Prmetric equtions 5 Conversion from prmetric to Crtesin form 6 Are under curve given prmetriclly 7 Sequences nd

More information

Distributions. (corresponding to the cumulative distribution function for the discrete case).

Distributions. (corresponding to the cumulative distribution function for the discrete case). Distributions Recll tht n integrble function f : R [,] such tht R f()d = is clled probbility density function (pdf). The distribution function for the pdf is given by F() = (corresponding to the cumultive

More information

Introduction. Teacher s lesson notes The notes and examples are useful for new teachers and can form the basis of lesson plans.

Introduction. Teacher s lesson notes The notes and examples are useful for new teachers and can form the basis of lesson plans. Introduction Introduction The Key Stge 3 Mthemtics series covers the new Ntionl Curriculum for Mthemtics (SCAA: The Ntionl Curriculum Orders, DFE, Jnury 1995, 0 11 270894 3). Detiled curriculum references

More information

The Effect of Internet Experience on Consumer Expectations of Responsiveness and Control in Offline Services Marketing Interactions

The Effect of Internet Experience on Consumer Expectations of Responsiveness and Control in Offline Services Marketing Interactions The Effect of Internet Experience on Consumer Expecttions of Responsiveness nd Control in Offline Services Mrketing Interctions Lind F. Alwitt DePul University llwitt@wppost.depul.edu Lwrence O. Hmer DePul

More information

Understanding Basic Analog Ideal Op Amps

Understanding Basic Analog Ideal Op Amps Appliction Report SLAA068A - April 2000 Understnding Bsic Anlog Idel Op Amps Ron Mncini Mixed Signl Products ABSTRACT This ppliction report develops the equtions for the idel opertionl mplifier (op mp).

More information

Week 7 - Perfect Competition and Monopoly

Week 7 - Perfect Competition and Monopoly Week 7 - Perfect Competition nd Monopoly Our im here is to compre the industry-wide response to chnges in demnd nd costs by monopolized industry nd by perfectly competitive one. We distinguish between

More information

Physics 43 Homework Set 9 Chapter 40 Key

Physics 43 Homework Set 9 Chapter 40 Key Physics 43 Homework Set 9 Chpter 4 Key. The wve function for n electron tht is confined to x nm is. Find the normliztion constnt. b. Wht is the probbility of finding the electron in. nm-wide region t x

More information

Rotational Equilibrium: A Question of Balance

Rotational Equilibrium: A Question of Balance Prt of the IEEE Techer In-Service Progrm - Lesson Focus Demonstrte the concept of rottionl equilirium. Lesson Synopsis The Rottionl Equilirium ctivity encourges students to explore the sic concepts of

More information

AN ANALYTICAL HIERARCHY PROCESS METHODOLOGY TO EVALUATE IT SOLUTIONS FOR ORGANIZATIONS

AN ANALYTICAL HIERARCHY PROCESS METHODOLOGY TO EVALUATE IT SOLUTIONS FOR ORGANIZATIONS AN ANALYTICAL HIERARCHY PROCESS METHODOLOGY TO EVALUATE IT SOLUTIONS FOR ORGANIZATIONS Spiros Vsilkos (), Chrysostomos D. Stylios (),(b), John Groflkis (c) () Dept. of Telemtics Center, Computer Technology

More information

Improving Library Users' Perceived Quality, Satisfaction and Loyalty: An Integrated Measurement and Management System

Improving Library Users' Perceived Quality, Satisfaction and Loyalty: An Integrated Measurement and Management System Improving Librry Users' Perceived Qulity, Stisfction nd Loylty: An Integrted Mesurement nd Mngement System by Anne Mrtensen nd Lrs Gr0nholdt This rticle describes the development nd ppliction of structurl

More information

PROBLEM 4.1 SOLUTION. Knowing that the couple shown acts in a vertical plane, determine the stress at (a) point A, (b) point B.

PROBLEM 4.1 SOLUTION. Knowing that the couple shown acts in a vertical plane, determine the stress at (a) point A, (b) point B. PROBLEM.1 Knowing tht the couple shown cts in verticl plne, determine the stress t () point A, (b) point B. SOLUTON () (b) For rectngle: For cross sectionl re: 1 = bh 1 1 = 1 + + = ()(1.5) + ()(5.5) +

More information

ORBITAL MANEUVERS USING LOW-THRUST

ORBITAL MANEUVERS USING LOW-THRUST Proceedings of the 8th WSEAS Interntionl Conference on SIGNAL PROCESSING, ROBOICS nd AUOMAION ORBIAL MANEUVERS USING LOW-HRUS VIVIAN MARINS GOMES, ANONIO F. B. A. PRADO, HÉLIO KOII KUGA Ntionl Institute

More information

RTL Power Optimization with Gate-level Accuracy

RTL Power Optimization with Gate-level Accuracy RTL Power Optimiztion with Gte-level Accurcy Qi Wng Cdence Design Systems, Inc Sumit Roy Clypto Design Systems, Inc 555 River Oks Prkwy, Sn Jose 95125 2903 Bunker Hill Lne, Suite 208, SntClr 95054 qwng@cdence.com

More information

4/3, 4/2 directional valves solenoid operated

4/3, 4/2 directional valves solenoid operated 4/3, 4/2 directionl vlves solenoid operted RE 18303-01/07.12 Replces: RE00157/12.07 1/10 Type L5010 (LC04Z) Size 4 Series 00 Mximum operting pressure 310 r [4500 psi] Mximum flow 25 l/m [6.6 gpm] DVI0003

More information

How To Know What A Pressure Ulcer Is

How To Know What A Pressure Ulcer Is Pressure Ulcers ecourse: Module 2 Quiz I 1. Blck, brown or tn tissue tht dheres firmly to the wound bed or ulcer edges nd my be either firmer or softer thn surrounding tissue is:. Eschr b. Slough c. Grnultion

More information