Wind-proof umbrella

A wind-proof umbrella comprising:

• a shaft with a head at a distal end of the shaft and a nest movably mounted on the shaft;
• multiple supporting ribs radially extending out from the head;
• multiple bridging ribs pivotally connected between the nest and the supporting ribs;
• first linking ribs each pivotally connected with a corresponding one of the bridging ribs at a first joint on the bridging rib;
• second linking ribs each pivotally connected with a corresponding one of the first linking ribs at a second joint on the second linking rib;
• outer supporting ribs each pivotally connected with a corresponding one of the second linking ribs at a third joint;
• flexible ribs each mounted between the second joint and the third joint and having a bend;
• a primary cover secured with and supported by the flexible ribs and outer supporting ribs and having a through hole defined to have an area covered by the supporting ribs and a portion of the flexible ribs;
• a secondary cover secured by a fastener on the head extending from the head to the outer supporting ribs to cover the through hole and a portion of the primary cover, wherein each of the first linking ribs has a fourth joint formed to pivotally connect a secondary rib having the same flexibility as that of the flexible rib and securely engaged with an outer periphery of the secondary cover and wherein the secondary cover is detachably engaged with the primary cover.