PROBLEM TO BE SOLVED: To buckle and stiffen a backstay and to provide a fireproof coating while reducing an increase in the outer shape. SOLUTION: A buckling stiffening fireproof coating structure of a backstay is installed in a state of being tilted to the outside of the structure 10 and is connected to the structure 10 and faces a steel backstay 20 and the backstay 20. It includes a buckling stiffening member 30 having a flange portion 34 and attached to the backstay 20, and a fireproof coating member 40 provided between the backstay 20 and the flange portion 34 and covering the backstay 20. [Selection diagram] Fig. 2
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