A structure based on glass strand coated with a resin composition containing, by weight percent of solid matter: from 75 to 98% of a mixture of a first novolac having a glass transition temperature lower than or equal to 60° C. and a second novolac having a glass transition temperature above 60° C.; from 0.5 to 10% of a wax; from 1 to 15% selected from an imine and a modified melamine of formula (I): where R1, R2, R3, R4, R5, and R6 are each independently —H, —CH2OH, —CH2OCH3, or —CH2OCH2OCH3 radical, with at least one of R1 to R6 not being H; and from 0 to 10% of a plasticizing agent. Also, a resin composition for producing a reinforcing structure and bonded abrasive articles incorporating such a structure.