An MgO component must not fail when a tensile stress of 13.5 MPa (1960 psi) is applied. Determine the maximum allowable surface crack length if the surface energy of MgO is 1.0 J/m2 . Take 225 GPa as the modulus of elasticity

The maximum allowable surface crack length is 7.86 x 10⁻⁴ m

Explanation:

Given;

tensile stress, σ = 13.5 Mpa = 13.5 x 10⁶ Pa

specific surface energy, γ = 1.0 J/m²

modulus of elasticity, E = 225 GPa = 225 x 10⁹ Pa

maximum allowable surface crack length, d = ?

Therefore, the maximum allowable surface crack length is 0.000786 m if MgO component must not fail when a tensile stress of 13.5 MPa is applied.

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