A housing of an air cycle machine compressor is provided. The housing includes a body defining an aperture therethrough and one or more bosses located circumferentially around the body, the body having a general wall thickness. A duct is configured on a portion of the body. The body includes a first angle defining an area extending over a circumferential direction of the body having a first wall thickness different from the general wall thickness. The first angle is configured with the first wall thickness having a ratio of 1.565 as compared to the general wall thickness.