Just for giggles, a few more comments. It is hard to weld small diameter tubing using GMAW. The skills required to manipulate the electrode tip properly would usually require some level of automation. As noted by others, TIG (GTAW) or oxy-acetylene (OFW) would be the choices. Both require skill, but OFW is more operator dependent than GTAW. For this application, TIG should be your ticket.
Regarding filler metal designations, you need to go to the American Welding Society web site and start looking up the filler metal specs. AWS A-5.20 covers carbon steel electrodes for the FCAW process. The suffix for these wires does indicate the flux type, whether it is gas- or self-shielded, and the arc transfer characteristics (spray versus globular). AWS A-5.29 covers low-alloy steel electrodes for the FCAW process. Here the suffix denotes the chemical composition "family" of the wire. "A" is for carbon - molybdenum wire, "B" is for chromium - molybdenum, "Ni" is for nickel, "D" is for manganese - molybdenum, and "K" is for all others (but mostly nickel - chromium - molybdenum). The number in the suffix differentiates the amount of alloy within the "family". There are flux and shielding gas designators also, but they appear before the suffix (and after the "T", which stands for "tubular"

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As for using 1020 tubing, there is nothing wrong with it as long as the loads applied don't exceed the material's strength. 1020 comes in various conditions, hot rolled (40 yield & 60 tensile), cold rolled (50 yield & 65 tensile), hot rolled and quenched and tempered (45 yield & 70 tensile), as rolled (50 yield & 70 tensile), normalized ( 50 yield & 70 tensile), and annealed (50 yield & 75 tensile). The strengths are approximate and given in ksi. What you should see is that 1020 is considerably weaker than 4130.
Last, but not least, pipeingg needs to brush up a little on his metallurgy. While chromium is indeed added for corrosion resistance, in low-alloy steels it is intended to improve the strength of the material at elevated temperatures. Molybdenum is also added to increase corrosion resistance (particularly to pitting) and creep resistance, but creep resistance has nothing to do with this application. Creep resistance is the ability of a material to resist growth upon prolonged exposure to elevated temperatures, and unless you plan on driving with your frame above 800 deg F (what a hot seat!) for extended periods of time, it doesn't apply.
If you really want to increase the longevity of your frame, then fatigue properties are of interest. In which case you should be looking at nickel alloyed materials (or even, for your case, nickel-alloyed filler metals). That's why you see 4340 alloy steel used so much in the aircraft industry.
Lotsa luck.
Matt Nousak, P.E.
Senior Staff Engineer
Middough Associates Inc.
nousakmj@middough.com