The strength, S, of ceramic and glass fibers often can be estimated from fractographic investigation using the fracture mirror radius, r m , and the relationship S ؍ A m /(r m ) 1/2 , where A m is the "mirror constant." The present work estimates the value of A m for Tyranno ® Si-Ti-C-O fibers in situ in a three-dimensional woven SiC/SiC-based composite to be 2.50 ؎ 0.09 MPa⅐m 1/2 . This value is within the range of 2-2.51 MPa⅐m 1/2 previously obtained for nominally similar Nicalon ® Si-C-O fibers.