If 6 washers/dryers fit on the bed and the average weight is ~200lbs, he's looking at 1200lbs in payload when fully loaded. I'd think that is within the duty rating of the axle not considering difference in weights between the wood and steel bed.
Side note: Does the bed slope down toward the back? Hope the frame isn't bent in the middle...
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-Mike
2007 Ford Focus ZX5 - 91k - SGII, pending upper and lower grill bocks - auto trans
1987 Monte Carlo SS - 5.3/4L80E swap - 13.67 @ 106
2007 Ford Focus Estate - 230k - 33mpg - Retired 4/2018
1995 Saturn SL2 - 256K miles - 44mpg - Retired 9/2014
Cost to Operate Spreadsheet for "The New Focus"
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