Example: A three$-$point bend test is performed on a block of silicon carbide that is $10\mathrm{.}5$ cm

long, $1\mathrm{.}5$ cm wide and $0\mathrm{.}6$ cm thick and is resting on two supports $7\mathrm{.}5$ cm apart. The sample

breaks when a deflection of $0\mathrm{.}09$ mm is recorded. The flexural modulus for silicon carbide is

$480$ GPa $.$ Assume that no plastic deformation occurs. Calculate

a$)$ the force that caused the fracture

b$)$ the flexural strength

${}_{\text{b}\text{e}\text{n}\text{d}}=3FL$