A support arrangement for an inflatable evacuation system, comprising: an inflatable member (222, 224, 226) configured to be elongated and stiffened in a longitudinal direction in response to being in an inflated condition; an inflatable protrusion (220, 300, 400, 402) extending orthogonal to a surface of the inflatable member (222, 224, 226); and a first tensile member (230, 404, 508) attached at at least two locations to the inflatable member (222, 224, 226) on opposing sides of the inflatable protrusion (220, 300, 400, 402) and being slidably engagable over the inflatable protrusion (220, 300, 400, 402) so as to maintain about equal tension in the first tensile member (230, 404, 508) on opposing sides of the inflatable protrusion; characterized in that the support arrangement further comprises a continuous tension coupling attached to the inflatable protrusion (220, 300, 400, 402) comprising: a base portion; a sleeve portion coupled across the base portion, wherein the sleeve portion has a first edge and a second edge; and a void space between the base portion and the sleeve portion, wherein the void space is open along the first edge and the second edge, wherein the first tensile member (230, 404, 508) is coupled to the continuous tension coupling; wherein the first tensile member (230, 404, 508) is disposed through the first edge and the second edge and within the void space; wherein the first tensile member (230, 404, 508) is configured to slide along the base portion in response to a tension force; wherein the base portion is coupled to a surface of the inflatable protrusion (220, 300, 400, 402); and wherein the sleeve portion attached to the inflatable protrusion is configured to maintain the tensile member (230, 404, 508) laterally relative to the inflatable protrusion even as the tensile member (230, 404, 508) is able to slide longitudinally. an inflatable member (222, 224, 226) configured to be elongated and stiffened in a longitudinal direction in response to being in an inflated condition; an inflatable protrusion (220, 300, 400, 402) extending orthogonal to a surface of the inflatable member (222, 224, 226); and a first tensile member (230, 404, 508) attached at at least two locations to the inflatable member (222, 224, 226) on opposing sides of the inflatable protrusion (220, 300, 400, 402) and being slidably engagable over the inflatable protrusion (220, 300, 400, 402) so as to maintain about equal tension in the first tensile member (230, 404, 508) on opposing sides of the inflatable protrusion; characterized in that the support arrangement further comprises a continuous tension coupling attached to the inflatable protrusion (220, 300, 400, 402) comprising: a base portion; a sleeve portion coupled across the base portion, wherein the sleeve portion has a first edge and a second edge; and a void space between the base portion and the sleeve portion, wherein the void space is open along the first edge and the second edge, wherein the first tensile member (230, 404, 508) is coupled to the continuous tension coupling; a base portion; a sleeve portion coupled across the base portion, wherein the sleeve portion has a first edge and a second edge; and a void space between the base portion and the sleeve portion, wherein the void space is open along the first edge and the second edge, wherein the first tensile member (230, 404, 508) is coupled to the continuous tension coupling; wherein the first tensile member (230, 404, 508) is disposed through the first edge and the second edge and within the void space; wherein the first tensile member (230, 404, 508) is configured to slide along the base portion in response to a tension force; wherein the base portion is coupled to a surface of the inflatable protrusion (220, 300, 400, 402); and wherein the sleeve portion attached to the inflatable protrusion is configured to maintain the tensile member (230, 404, 508) laterally relative to the inflatable protrusion even as the tensile member (230, 404, 508) is able to slide longitudinally.