A steel plate with width $W$ and thickness $t$, contains an edge crack of length $a = W/10$. The plate is loaded by a pair of two forces according to the illustration. Determine the critical force with respect to crack propagation. Is fracture mechanics an issue here or is the failure mode yielding? (35 pts)
Data: $W = 1m$, $h = 2m$, $t = 10mm$, $\sigma_{YS} = 400MPa$, $K_{IC} = 20MNm^{-3/2}$
Hint: There is a net axial force and moment acting on the crack plane