Propane Fire Pit Table Made of Concrete - DoItYourself.com Community Forums
How best to create a round mold for a concrete fire pit? - Home Improvement Stack Exchange
DIY Concrete Top Propane Fire Pit
Any advice for DIY’ing concrete fire pit and bench
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You can purchase precured concrete cylinders used for drainage culverts or access tunnels. They're made in sections. Try searching for "precast concrete riser ring"
You might also get two cardboard sonotubes for the form: a larger one for the outer diameter and a smaller one for that inner.
You might get plywood and use a jigsaw to cut a circular frame from it. Two pieces of ply and 2x4s to set the height. Then use ramboard or thin plywood to make the inner and outer forms.
I suspect you're looking at a few hundred dollars for this.
Yet another alternative is to pour a base then lay brickwork in the circular shape you want.
Cut out 3/4" plywood to make the inner and outer reinforcing rings. (1 pair of rings on the top and bottom of the cylinder, one pair at the mid-height.)
Soak 1/8" plywood strips (16" wide) overnight, then bend to fit the rings to form the circular shape. Clamp the plywood boards and allow them to be air dry completely.
Apply glue to the rings and re-attach the shaped thin plywood forms. (Note: do not over glue for ease of removal.)
You might need a few temporary spacers in between the thin plywood boards to keep the assembly in shape. Also, it might help if the ring is made into two segments and assembled using clamps or fasteners. The inner support can be a solid circular plate, and the outer support can be a square plate with a hole in the center.
Another helpful thing is to apply a bond breaker on the surface of the form boards. Pour the concrete slowly to not to overstress the form, and compacting the concrete thoroughly using a rod to avoid honeycomb. You can remove the outer support and form when your finger can't dent the concrete. Wait at least 72 hours before taking down the inner support and form, but do not wait too much longer. Apply cement patch immediately after removing the form. Water the structure daily to keep it in a moist state for at least 7 days, if not exposed to direct sunlight, 14 days otherwise.