Current structural health monitoring (SHM) techniques focus primarily on maintenance and thus lack the ability and specificity to provide actionable information in the event of extreme/rare events or disasters like hurricanes or earthquakes. While battery-powered wireless sensors can evaluate the condition of the structure at a given instant of time, long-term operation requirements force these devices to use long-sleep cycles and hence are unable to fully quantify the extent of the damage. On the other hand, self-powered sensors can continuously monitor the structural condition without the need for any maintenance; however, the scarcity of power that can be harvested limits the range at which the sensors could be wirelessly interrogated. In this paper, we propose a quasi-self-powered sensor that combines the benefits of self-powered sensing with the benefits of battery-powered wireless transmission. By optimizing both the functionalities, a complete sensor system can be designed that can continuously operate between the structure's maintenance life-cycles and can be wirelessly interrogated at distances that obviates the need for taking the structure out-of-service. We present case studies of environments where prototypes of the quasi-self-powered sensors have been deployed, including on the Mackinac Bridge in northern Michigan.