HAZ Thermocycle and Structure Simulation Combined computer and Gleeble simulation technique permits quick evaluation of weld process alternatives BY Ft. A. MUELLER, D. G. HOWDEN AND F. B. S I M M O N S ABSTRACT. During the development of an automatic gas metal-arc welding (GMAW) machine, high speed welds were made in steel at 60 i p m . The attendant low heat input created a heat-affected zone (HAZ) having thin, isolated hard zones. In order to utilize high welding speeds, this study was made on ways to eliminate or prevent the HAZ hard zone formation. The use of preheat, higher heat input, and a postweld heat treatment all could reduce the HAZ hardness; however, for a variety of reasons these methods were undesirable. In-line heat treating, using an auxiliary heat source following the main welding arc, could prevent hard zone formation by altering the continuous c o o l ing curve to obtain low cooling rates that permit diffusion controlled austenite decomposition to occur before subsequent cooling below the Ms. Another related technique, the use of two welding arcs, was c o n sidered also. An empirical approach was deemed too costly; therefore, a computer simulation technique was devised. The simulation technique and its rationale are the subject of this paper. A two dimensional heat flow equat i o n involving the basic w e l d i n g parameters and material properties was selected for the simulation. A realistic heat input efficiency factor was used to calibrate the equation to the welding m a c h i n e . T h e o r e t i c a l time-temperature curves were generated simulating the HAZ tempera- R. A. MUELLER and D. G. HOWDEN are associated with Battelle Columbus Laboratories and F. B. SIMMONS is associated with Brush Beryllium Corporation. Paper was presented at the 51st AWS Annual Meeting held at Cleveland, Ohio, during April 20-24, 1970. ture cycles. Curves were generated that simulated the weld centerline and five additional positions located in the HAZ. Auxiliary heating curves were generated and evaluated. Evaluation criteria were based upon a predetermined relationship between the cooling rate at 900 F and the hardness of Gleeble specimens. It was found that: 1. T h e h e a t i n p u t n e c e s s a r y t o achieve the desired hardness reduction was so great that c o m p l e t e remelting of the weld would have occurred. 2. The combined heat input of two arcs would achieve a modest hardness reduction. Neither of the approaches would have reduced the HAZ hardness to desirable levels; therefore, further " G l e e b l e " s i m u l a t i o n s were performed with the result that if an auxiliary heat source arrested the HAZ temperature at 1000 F for 6 sec, the HAZ hardness would be at a desirable level. The technically significant portion of this work is the simulation technique, since it affords a method for evaluating welding processes and parameters without the need for extensive experimental equipment and costly empirical data. Background A special purpose automatic GMA welding machine was used to butt weld thin carbon manganese steel parts. The weld was m a d e with two passes at a speed of 60 i p m . During the development of the welding techniques problems arose due to the creation of thin high hardness zones (Re 50-52) in the HAZ of the welds. The hard zones were caused by the attendant high HAZ cooling rates. Due to the end use of the product, the hard zones were undesirable, a hardness limit of Rc25 being the m a x i m u m desired. This study was made to determine methods for either eliminating or preventing the HAZ hard zone formation. For a variety of technical and economic reasons, the use of pre-heat, the use of a higher heat input, and the use of separate postweld heat treatments were undesirable even though these methods could probably achieve the desired hardness reduction. Therefore, the study c o n centrated on the two following hardness reduction methods: 1. In-line heat treating. If sufficient auxiliary heat were to be added after the weld had solidified, but before the austenite had transformed, the cooling rates, hence hardness, of the HAZ probably could be reduced. The auxiliary heat, however, should not be so high as to cause remelting of the metal. 2. Multiple arc welding. The total heat input of two welding arcs from two weld passes could be sufficient to achieve slow HAZ c o o l i n g rates, hence prevent extensive martensite formation. With the first method, the auxiliary heat might be supplied by an oxyacetylene burner which travels behind the welding electrode at the same speed. The welding head of the automatic welder was so designed that with moderate modifications an auxiliary heat source could be placed 11/2 to 2 in. behind the welding electrode. Likewise a second electrode could be mounted VA to 2 in. behind the main electrode to weld the second pass simultaneously with the first pass, i.e., multiple arc welding. This latter approach has an added a d vantage of decreasing the total joint fabrication time. In order for the first method of auxiliary heating to be successful, i.e., avoid the formation of martensite, the WELDING RESEARCH SUPPLEMENT! 411-s temperature of the bulk of the austenitic portion must not fall below the Ms before t h e a d d i t i o n a l heat is applied. If the arc is traveling at 60 ipm and the auxiliary heat source is exactly 2 in. behind the welding electrode, then 2 sec will elapse before the auxiliary heat source passes over any given spot on the weld. Therefore, in those 2 sec, the temperature of a given spot must not fall below the martensite start temperature (Ms) which was known to be about 725 F. One technique for determining if the temperature of the HAZ has fallen below the Ms in the VA to 2-in. distance, or 2 sec time interval for the example previously cited, involves placing thermocouples in the HAZ of a test weld and generating the true cooling curves. These curves could then be examined for the desired information. This would have been time consuming and expensive in that a rather elaborate experimental setup would have been required. Also, any subsequent process alterations would have to be studied in the same manner. Therefore a second technique was selected. It involved the use of a calibrated mathematical simulation to provide the desired information. This technique and its results are presented in the following sections. Position of curves relative to center line of weld — ^Centerline 8 0.03 inch 2800 - r * \ ^ 0 . 0 4 inch 2400 T " " " " " \ . 0 . 0 5 inch 1 / / 0 . 0 6 inch y / / 0 . 0 8 inch - Volts Amps Speed Efficiency Kjoules/m. 2000 Cl) I 600 3 — n CD CL b I200 - ]« f\ f \ l \1 = 26 = 348 = 6000 = 0.80 = 7.2 Cooling Rates, 0.04 F/sec Center Line 0 0 3 985.7. 967.0 T(I300) = 1050.6 321.4 322.0 T( 900) = 325.9 0.05 0.06 907.4 8 4 5 . 5 318.0 3 1 4 . 8 0.08 571.9 300.5 Gleeble sample 2 9 9 F/sec Hardness Rc 40 800 -- 400 1 1 1 1 1 1 10 12 1 1 Time, sec Fig. 1 — Typical thermal cycles based on a 0.80 thermal efficiency factor 2700 2600 Technical Approach The general approach for simulating the in-line heat treating was as follows. A heat flow equation was selected to generate theoretical HAZ heating and cooling curves. The curves, which were calculated and plotted using a digital c o m p u t e r , w e r e then calibrated to the actual heating and cooling curves of a test weld. The calibrated equation was then used to simulate various weld process alterations designed to reduce the HAZ hardness. The more attractive process alterations were then tested using Gleeble specimens to verify that they would indeed produce a low hardness HAZ zone. There are several equations which can be used to calculate weld metal a n d / o r HAZ c o o l i n g curves. The equation selected for this work was developed by Tall (Ref. 1). It is a two dimensional heat flow equation which best fits the heat flow of the weld. T = Qp [ko ( x v r ) ] exp ( - \ v £ ) 2500 2200 j 3 o 2000 CD 1 L_. 1800 — 1 t 1700 1600 I500 1300 1973 / E 1900 Where T = temperature of any point in the weld area at any time (t). Note also that T = T-To where the pre-heat (To) is zero. 412-s | S E P T E M B E R J J aT2IOO I400 K = thermal conductivity X = SP/2K where S = specific heat and P = density J 2300 (1) 2Kh 1 2400 I i?nn 0 0.1 I I 0.2 0.3 I 0.4 1 1 1 0.5 0.6 0.7 ! 0.8 1 20 14 1 0.9 E f f i c i e n c y Factor Fig. 2 — Peak temperature of 0.04 in. cycle as a function of efficiency 1 1 1.0 I.I £ = x-vt where x = distance behind heat source, v = travel speed and t = time ko = Modified Bessel function of second kind, zero order r = V £ 2 + y2 where Y = distance from weld centerline h = Plate Thickness Qp =Total heat input including an efficiency factor. The terms, £ and r, represent the mathematical terms necessary to calculate the temperature at any point in the HAZ, i.e., some point other than the weld centerline. These latter t e r m s have the effect of translating the X-Y coordinate system from the plate to the torch which permits one to calculate the temperature distribution about the arc in an X-Y plane. The term, Ko, is a modified Bessel function of the second kind, zero order, which is used to provide the desired solution to the differential equation from which Eq. 1 was derived. Masabuchi, Simmons, and M o n roe (Ref. 2) have produced a digital c o m p u t e r p r o g r a m w h i c h in part utilizes Tails' equation, (Eq. 1). The applicable portion of the above c o m puter program was extracted and slightly modified for use in this investigation. The computer program utilizing a p p r o p r i a t e library s u b r o u t i n e s will simultaneously graph the heating and cooling curves for up to six points in the total weld area and will calculate the cooling rate at any two t e m p e r a tures for each cooling curve. In addition, a complete table of temperature versus time data is computed and tabulated along with the heat input in kilojoules/inch. Figure 1 shows a typical output plot. The welding conditions used to generate the thermal cycle shown in Fig. 1 are identical to the welding c o n ditions used to make the test weld. Note that the six curves represent the weld centerline and five other positions, 0.03, 0.04, 0.05, 0.06, and 0.08 in. from the weld centerline. The three last locations are in the HAZ. The cooling rate has been calculated at 1300 F and 900 F for each of the curves.* Also note that the thermal efficiency factor was considered to be 0.80 in this case. Position of curves relative to center line of weld ^ C e n t e r line 2800 - 0 . I I inch - 0 . I 2 inch - 0 . I 3 inch 2400 -0 Technique The equation used to produce the typical HAZ curves shown in Fig. 1 must be calibrated to the true thermal cycle p r o d u c e d by the a u t o m a t i c machine if the equation is to be useful. The proper efficiency factor was 'The 900 F cooling rate was considered to be representative of the transformation behavior of the steel during continuous cooling (Rets. 3-6). sling Rates, F/sec Center Line I25.9 T(I300) 39.5 T( 900) 2000 0. I I 0.12 0.I3 11 8,4 2966.7 488.6 389 39.2 39.0 Gleeble sample Hardness 1600 O.I4 II2.4 38.9 38 F/sec Rc32 -I200 800 - 400 18 20 Fig. 3 — Typical thermal cycle exhibiting slow cooling rate at 900F determined in the following manner. A test weld was made using the welding parameters shown in Fig. 1. The test weld was cross sectioned transversely at various locations. The f u s i o n - H A Z interface was located about 0.04 in. from the weld centerline and the m a x i m u m hardness zone of Rc41 occurred at the 0.05 in. location. A series of thermocycle curves that correspond to the test welding conditions were computer generated by varying only the efficiency factor, namely at efficiencies of 0.70, 0.80, 0.90, 1.00, a n d 1.10. T h e p e a k temperature of each curve that was located at 0.04 in. from the centerline was compared with 2750 F, the approximate melting point of steel; i.e., the temperature of the HAZ-fused metal interface. The efficiency factor that produced a curve that just reached the melting point at the 0.04 in. location was 0.80, therefore this efficiency factor was selected for use. A plot of the peak temperature of the 0.04 in. cycle as a function of arc efficiency is shown in Fig. 2. Data Calibration Volts 27 Amps 384 Speed = 60.00 Efficiency = 2.00 Kjoules/in = 20.7 Analysis Based upon data from the 0.05 in. location, thermocycle tabular print out data, the HAZ metal at a point in time 2 sec (or 2 in., since the speed is 60 ipm) behind the main arc was 831 F.t T h i s t e m p e r a t u r e is a b o v e t h e t Note that the time scale on Figure 1 begins before the arc has passed a given spot; therefore, 2 seconds elapsed time occurs at about 3.5 sec on the graph's time scale. probable Ms temperature of 725 F. It should be recognized that the above statement strictly applies to the 0.05in. location; however, it is considered to be valid for all locations in the HAZ where the peak temperature was above A, (about 1300 F). This c o n sideration was deduced by noting that the 0.08 in. location thermocycle with a peak temperature of 1407 F, or about 100 F above A,, had a t e m perature of 790 F after 2 sec. Therefore, the curve with a peak temperature of about 1300 F should be above 750 F after 2 sec and certainly above 750 F at 1.5 sec elapsed time. Therefore, the simulation indicates that it would be possible to use an auxiliary heat source placed 1.5 to 2 in. behind the main w e l d ing arc to reheat the HAZ before it reached the Ms. Auxiliary H e a t i n g S i m u l a t i o n Cycles As deduced from the calibration work previously described, the use of an auxiliary heat source to decrease the cooling rate appears feasible. However, more simulation was needed to define the heat input of the auxiliary heat source so that the desired c o o l i n g rate r e d u c t i o n c o u l d be achieved. Although a wide variety of auxiliary heating thermocycles could be generated and a Gleeble test performed to evaluate each cycle, this approach would have been too time consuming. Therefore, a series of thermocycles representing auxiliary heat inputs in the range of 5 to 20 k J / i n . were generated. This was done WELDING RESEARCH SUPPLEMENT! 413-s 360 H 340 — 320 300 M 280 260 — o CD 240 — CD 220 o or 200 c o o u I O O cr> qHr-H 180 160 — H* 140 — / J 120 100 80 — J 60 — / / 40 s 20 X 1 r\ 1 1 0 1 1 1 1 20 25 30 35 Hardness, R c 1 40 1 45 1 50 55 Fig. 4 — 900F cooling rate versus hardness of Gleeble samples by using typical weld parameters and changing the efficiency factor to 0.501.00-1.50-2.00, respectively. Here, the use of very high efficiency factors was merely a convenient method for altering the t o t a l heat i n p u t w i t h a minimum of key punching. Figure 3 shows the 2.00 efficiency factor (high heat input) t h e r m o cycles. In Fig. 3 the cooling curve at the 0.05 in. location would have been so close to the weld centerline that it would have been indistinguishable f r o m the c e n t e r l i n e c u r v e , even though this location corresponded to the zone of maximum hardness on the actual test weld. This occurred because the theoretical equation using a 414-s I S E P T E M B E R 1 973 high efficiency factor depicted a much wider weld than had been previously simulated. This is analogous to the physical situation; i.e., an increased heat input would create a larger weld pool. T h e r e f o r e , larger HAZ d i s tances f r o m the c e n t e r l i n e were chosen to represent the desired HAZ thermocycles; namely, thermocycles located 0.11, 0.12, 0.13, and 0.14 in. from the centerline. The t h e r m o c y c l e of each plot, which had a m a x i m u m temperature closest to the 2400 F range, hence analogous to the peak temperature of the 0.05 thermocycle of that test weld, was selected for Gleeble and subsequent hardness tests. This curve would represent the heating and cooling cycle of metal located near the HAZ-fusion interface when made at high heat input conditions. Gleeble samples were forced to undergo the various HAZ thermocycles and their hardness levels were plotted against the respective (900 F) cooling rates developed in the actual Gleeble samples. The resulting plot is shown in Fig. 4. The lowest hardness level produced in this series was Rc32. It was achieved with a cooling rate of about 38 F/sec at 900 F and with a heat input of 20.7 k J / i n . The results of these runs indicate that the desired auxiliary heating source must be such that the cooling rate at 900 F is below 38 F/sec. The heat input in this case would be above 21 k J / i n . In fact, an extrapolation of the data of Fig. 4 (dashed lines) indicated that a cooling rate of about 16F/sec would be required to achieve the target hardness level of about Rc25 or less. Therefore, this value will be used as first test criterion for any simulated auxiliary heating thermocycle. This test applies only if the auxiliary heating cycle produced continuous cooling; i.e., isothermal d e c o m p o s i tion was not considered at this time. A new set of runs was made to simulate the use of an auxiliary heat source located b e h i n d the main welding arc. Figure 5 shows a simulated auxiliary heat t h e r m o c y c l e superimposed upon the first pass thermocycle. The first peak was generated using the first pass weld parameters with the calibrated efficiency factor of 0.80. The auxiliary heat source thermocycle was g e n erated by using a second heat input of 10 k J / i n . The auxiliary heat source was considered to have been applied when the cooling curve at the 0.05 in. location reached 800 F, which was about 2.3 sec behind the first pass electrode. Upon cooling after the auxiliary heat source had passed, the cooling rate at 900 F was 57.6 F/sec. From Fig. 4, this cooling rate would be expected to produce a hardness of about Rc35 which is above the Rc25 target value. The thermocycle shown in Fig. 5 represented a total heat input of about 17 kJ/in., which was approximately equal to the heat input that would be developed if the first and second passes were to be c o m bined. Therefore, based on this cycle, and assuming that the auxiliary heat was representative of a second pass, it was deduced that the hardness would not be reduced to Rc25 or lower; i.e., the use of a multiple arc technique while offering a substantial hardness reduction would still not be enough. Therefore, a series of simulated auxiliary heat thermocycle curves (0.05 in. position) were generated with increasing heat input until the cooling rate at 900 F decreased to a value below 20 F/sec. Figure 6 shows the curve generated using a heat input of 25 kJ/in. for the auxiliary heat source. The 900 F cooling rate was 16 F/sec and from the extrapolation in Fig. 4 this cooling rate should be slow enough to reduce the heat-affected zone hardness below Rc25. A Gleeble sample, arbitrarily designated A, was used to verify the hardness reduction. The Gleeble cycle was slightly different from the actual curve in that the sample was heated directly to about 2000 F and held until reaching Point A in Fig. 6. The Gleeble sample was then forced to follow the computer generated cooling curve. The altered cycle was much easier to achieve in the Gleeble, and t h e s a m p l e s h o u l d have transformed in a manner equivalent to a sample which had followed exactly the computer curve. The cooling rate (at 900 F) of the Gleeble sample was found to be about 13 F/sec and the hardness was well below the Rc25 target value. This value is denoted by an X on Fig. 4 and shows that the original extrapolation was not quite correct. Note that the X value is based upon c o n v e r s i o n f r o m m i c r o hardness data and the Re hardness scale ends at Rc20. The thermocycle shown in Fig. 6 appears to have solved the problem, but it has not; the simulated auxiliary heat input is so great that, in practice, considerable melting would be expected to occur. The heat input of this auxiliary heat source would be nearly 3Vz times as great as the heat input used to make the weld's first pass. An auxiliary heat source having a heat input that high appears impractical, even if one were to consider that the extra energy could be spread over a finite area rather than an infinitesimal area as used in the 2D heat flow equation. Volts Amps Speed Efficiency Kjoules/in. 2800 2400 26 348 60.00 0.80 7.2 Cooling Rates, F/sec 0.05 T(I300) T( 9 0 0 ) 2000 != = = = = I 78.3 57.6 TI - T2 spaci ng T2 joules/in Start' temp Max temp 1600 = 2.30 » I0.0 = 800 = 2400 I200 - 800 400 Fig. 5 — Auxiliary heating thermal cycle using a 10 kJ/in. heat input Volts Amps Speed Efficiency Kjoules/in 2800 26 348 = = 6000 0.80 = 7.2 = Cooling Rates, F/sec 0.0 5 48.1 T(I300) T( 900) Gleeble sarr pie Hardness T I - T 2 spacing T2 joules/in. Start temp Max temp I6.I 13 F/sec Rc 4 0 = 2.30 = 25.0 = 800 = 2400 Diffusion-Controlled Decomposition Fortunately, the austenite in the heat-affected zone can be made to transform to relatively soft products by transformation at essentially a constant temperature. Therefore, to study this possibility two Gleeble samples were run. The first Gleeble sample was made to follow the original thermocycle shown in Fig. 6 except that after reaching a temperature of about 1200 F on the second heating cycle the Gleeble sample was held for 6 sec and then cooled rapidly to room temperature. The second Gleeble sample likewise was made to follow the thermocycle except that it was held at 1000 F for 6 sec and rapidly cooled to room 4 Fig. 6 — Auxiliary heating thermal 5 T i m e , sec 6 cycle using a 25 kJ/in. temperature. A cooling rate of about 500 F/sec at 900 F was achieved. The hardness of the sample held at 1200 F was Rc35 and the hardness of the sample held at 1000 F was about Rc20. The hardness value of Rc20 thus indicated that a diffusioncontrolled transformation for 6 sec at 1000 F would be sufficient to reduce the heat-affected zone hardness to below Rc25. heat input Summary of Predictions of Simulation Studies The analytical and Gleeble work predicted that: It would be possible to apply heat 1'/2 to 2 in. behind the arc to arrest the cooling of the heat-affected zone before this zone reached the Ms temperature. 2. Multiple arc welding probably W E L D I N G R E S E A R C H S U P P L E M E N T ! 415-s would produce a hardness reduction to about the Rc35 level. 3. By maintaining a temperature of 1000 F for 6 sec the hardness of the heat-affected zone could be reduced to below Rc25. 4. A hold period of 6 sec at 1200 F probably would not reduce the heat-affected zone hardness u n less controlled slow cooling followed. Based upon these predictions, the welding equipment was modified so that two welding arcs could be used s i m u l t a n e o u s l y . Preliminary results from a few test welds made with the modified machine indicated that the hardness of the HAZ ranged from Rc30 to 38, thus agreeing with the prediction. Conclusions A combined computer and Gleeble s i m u l a t i o n t e c h n i q u e for w e l d i n g applications has been developed. The technique features (a) a Fortran IV program to generate welding thermocycles and (b) a means of selecting the proper arc efficiency factor, and (c) a means for verifying the metallurgical effects upon the welded material by utilizing the Gleeble. This technique permits the simulation of welding processes to accurately predict the effects of process changes upon metallurgical properties of the weldment due to the thermocycles imposed by the welding process. References 1. Tall, Lambert, "The Strength of Welded Built-up Columns" Dissertation Lehigh University, Ph.D., 1961, part 2, p. 12-18. 2. Masabuchi, K.. Simmons, F. B., Monroe, R. E., "Analysis of Thermal Stresses THE WELDING ENVIRONMENT I and Metal Movement During Welding," Redstone Scientific Information Center — 820. 3. Inagaki, Michio and Sekiguchi, Harujiro. "Continuous Cooling Transformation Diagrams of Steels for Welding and Their Applications," English Translation — Transactions of National Research Institute (Japan) for Metals, Vol. 2, No. 2 (1960) p. 102-125. 4. Jhaveri, P., Moffatt, P., and Adams, C, "The Effect of Plate Thickness and Radiation on Heat Flow in Welding and Cutting." Welding Journal, Research Suppl., Vol. 41 (1) 125-16s (1962). 5. Dorschu, K. E., "Control of Cooling Rates in Steel Weld Metal," Welding Journal, Research Suppl., Volume 47 (2) 49s62s (1968). 6. Hess, W. F., Merrill, L. L. Nippes, E. F., and Bunk, A. P., "The Measurement of Cooling Rates Associated with Arc Welding and their Applications to the Selection of Optimum Welding Conditions," Welding Journal, Research Suppl., Vol 22 (9) 377s - 422s (1943). A research report on fumes and gases generated during welding operations The Welding Environment presents important new data on the fumes produced during welding and recommends standard methods for sampling and analyzing these fumes. Based on a study of welding fumes conducted by Battelle Memorial Institute, the report is divided into three major parts. The first of these is essentially a state-of-the-art review which gives the essential findings in the literature surveyed with an interpretation of the results and their implications. A lack of uniformity in sampling and reporting data observed in Part I led to the experimental investigation reported in Part II. Part IIA reports on the development of uniform procedures for generation, sampling, and analysis of welding fumes and gases and includes many tables of data on compositions of welding fumes using several different filler metals and fluxes. Part MB reports results of a supplemental investigation. Part III suggests uniform methods for sampling and analysis of welding fumes and gases. The Welding Environment contains 124 tables, 40 illustrations, and extensive literature references. Six appendices at the end of the report present supplementary information on Part 1 plus a discussion of federal and state safety regulations and a glossary of medical terms. CONTENTS Part I: Review of the Literature on Welding Fumes and Gases. Introduction. Hygienic Considerations of Welding Fumes and Gases. Weiding Fume and Gas Investigations. Other Fume and Gas Investigations. Ventilation Considerations. Discussion of Prior Investigations. References-Part I. Part IIA: Experimental Study of Arc-Welding Fumes and Gases. Introduction. Background. Materials. Equipment. Procedures. Evaluation of Analytical Techniques. Total Fume Studies. Fume Measurements in the Helmet Region. Effect of Welding Position on Fume Concentrations. Part MB: Supplementary Investigation of ArcWelding Fumes and Gases. Introduction. Experimental Studies. References—Part II.Part III: Proposed Procedures for Sampling and Analysis of Welding Fumes and Gases. Introduction. Scope. Procedures. Appendix A: Physiological Effects from Exposure to Welding Fumes. Appendix B: Aerosol Deposition and Measurement. Appendix C: Air Sampling and Contaminants. Appendix D: Fume Analysis Techniques. Appendix E: Federal and State Regulations. Appendix F: Glossary of Medical Terms. 792 pp., 8V2 in. x 11 in.,, paperbound. The list price of The Welding Environment is $20.00.* Send your orders for copies to the American Welding Society, 2501 N.W. 7th Street, Miami, Florida 33125. "Discount 25% fo A and B members; 20% to bookstores, public libraries, and schools; 15% to C and D members. Add 4% sales tax in Florida. 416-s I S E P T E M B E R 1 973
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