Answer
No. The fracture will not most likely occur since the specimen can tolerate a stress of 1383 MPa, which is greater than the applied stress of o1030 MPa.
Work Step by Step
Given:
A specimen of a 4340 steel alloy with a plane strain fracture toughness of $54.8 MPa \sqrt m (50 ksi \sqrt in.)$ is exposed to a stress of 1030 MPa (150,000 psi).
Required:
determine if the specimen will experience fracture if the largest surface crack is 0.5 mm (0.02 in.) long assuming that $Y = 1.0$
Solution:
Using Equation 8.6, we find:
$σ_{c} = \frac{K_{Ic}}{Y\sqrt πa } = \frac{54.8 MPa \sqrt m}{(1.0)\sqrt (π)(0.5 \times 10^{-3} m) } = 1382.68 MPa \approx 1383 MPa$
