Abstract: A vaulted membrane structure that has a series of substantially curved vertical arches that can be arranged in a modular construction to support a flexible membrane that is attached to the arches and tensioned between them in a formed inward depression to minimize vibration and flutter and to increase its ability to withstand heavy live loads such as snow or pulsating loads created by high winds.This construction applies particularly to comparative small shelters where the membrane can slide in its fastener on the arch, or slide along the arch to stretch the membrane over the arches when it is fabricated in one piece or in multiple sections.The membrane is tensioned in several ways: by pulling the membrane towards the base or by pulling the arches apart by anchor lines and/or by end closures that are fastened to the base, or by adjustable purlins or jacks between arches to force them apart. A combination of two ways is also used.