(a) A three-point transverse bending test is conducted on a

(a) A three-point transverse bending test is conducted on a cylindrical specimen of aluminum oxide having a reported flexural strength of 390MPa (56,600psi). If the specimen radius is 2.5 mm (0.10 in.) and the support point separation distance is 30 mm (1.2 in.), predict whether or not you would expect the specimen to fracture when a load of 620 N (140lbf) is applied. Justify your prediction.
(b) Would you be 100% certain of the prediction in part (a)? Why or why not?