A modular housing system includes a number of side beams, a number of transverse beams each spanning two or more of the side beams, at least one spine beam spanning two or more of the spanning beams, a number of isosceles angle irons provided to exterior surfaces of the side beams, a number of scalene angle irons provided to exterior surfaces of the side beams opening away from the isosceles angle irons and a number of corner support braces each coupled to one of the side beams abutting one of the isosceles angle irons.