Material science

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A research assistant in a materials science lab has a need to characterize the elastic behavior of a rectangular plate of Silicon Carbide, SiC, which is known to have known to have a flexural modulus of 480 MPa, flexural strength of 265 MPa. The length, width and thickness of the plate are 100 mm, 15 mm and 6 mm respectively. The student conducted a 3-point bend test by placing the plate between two rods 75 mm apart and applying a compressive load on the loading rod midway between the supports. Determine: (a) The force required to fracture the plate (b) (c) The deflection of the plate where the compressive load is applied. What would be the force to fracture the plate; and corresponding deflection of the plate if the research assistant reduced the distance between supports to 62 mm (d) What conclusions can you draw from the results in (b) and (c)