"To damage the structure" means to harm or cause harm to the framework or foundation of something, such as a building, object, or organization. Full definition
Because a disaster could easily damage the structure of your apartment, you will not want to enter without proper clearance from the local fire department or police department. (rentersinsurance.net)
But what happened with the appraiser in this specific case of damaged structure in the basement? (workingre.com)
Lenders are also concerned about any issues that could potentially damage the structure. (springshomes.com)