A $3-$point bending test is performed on a circular block of an artificially made bone using electrospun fibers that is $26$ cm long, $3\mathrm{.}2$ cm in diameter and resting on two supports $20$ cm apart. The sample breaks when a deflection of $1\mathrm{.}27$ mm is recorded. Calculate a$)$ the force that caused the fracture and b$)$ the flexural strength. The flexural modulus for the artificial bone is $121$ GPa. Assume that no plastic deformation occurs during the loading.