Cantilever beam sizing

[FONT=Times New Roman][SIZE=3][COLOR=#000000] [/COLOR][/SIZE][/FONT][FONT=Calibri][SIZE=3][COLOR=#000000]Hello All,[/COLOR][/SIZE][/FONT]
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[FONT=Times New Roman][SIZE=3][COLOR=#000000] [/COLOR][/SIZE][/FONT][FONT=Calibri][SIZE=3][COLOR=#000000]I’m trying to determine what size of angle iron I should use to build a platform.[/COLOR][/SIZE][SIZE=3][COLOR=#000000] [/COLOR][/SIZE][SIZE=3][COLOR=#000000]This platform will be above my pickup truck bed/cab.[/COLOR][/SIZE][SIZE=3][COLOR=#000000] [/COLOR][/SIZE][SIZE=3][COLOR=#000000]The forward end of the platform will be cantilevered (unsupported) over the cab of the truck about 2 feet.[/COLOR][/SIZE][SIZE=3][COLOR=#000000] [/COLOR][/SIZE][SIZE=3][COLOR=#000000]There will be 2 carbon steel angle iron rails, 1 on each side, supporting this cantilevered portion of the platform.[/COLOR][/SIZE][SIZE=3][COLOR=#000000] [/COLOR][/SIZE][SIZE=3][COLOR=#000000]I would like to be able to support a (worst case) 600 lbs static load at this forward end.[/COLOR][/SIZE][SIZE=3][COLOR=#000000] [/COLOR][/SIZE][SIZE=3][COLOR=#000000]The platform will be built just above the truck cab so I would say ¼” of downward bending would be the max I would want with the 600 lbs on the end of it.[/COLOR][/SIZE][/FONT]

[FONT=Times New Roman][SIZE=3][COLOR=#000000] [/COLOR][/SIZE][/FONT][FONT="Calibri"][COLOR=#000000]I realize i could just use whatever angle iron I think would hold the weight and that would probably be fine, but i also want it as light as possible and am unable to figure this out on my own.[/COLOR][COLOR=#000000] [/COLOR][COLOR=#000000]Hopefully someone here can help.[/COLOR][COLOR=#000000] [/COLOR][COLOR=#000000]Thanks[/COLOR][/FONT]