Question

The structure consists of a very large steel plate they will be used to transfer an in plane tensile stress. You have information from the company that performed a non-destructive testing technique if there are any flaws inside the plate. This non-destructive testing technique is based on ultrasonic wave transmission and will only detect a crack if it is bigger than 2.5 mm. No flaws were detected in the plate. You decided to pull some samples from a similar plate and you determined that the KIC value of these plates are 40 MPa*m0.5.

Required:
Estimate the maximum in plane tensile stress that you would suggest that this plate should carry.

Answer 1

`\mathbf{\sigma_(max) =638.308 \ MPa}`

Step-by-step explanation:

For any large steel plate with an infinite length and width and a center through the crack under tension, the stress intensity factor can be expressed as:

`K_I = \sigma √(\pi a)`

where;

a = 2.5 mm/2

a = 1.25 mm

a = 1.25 × 10⁻³ m

Therefore; the maximum stress in tension capacity can be computed as;

`\sigma_(max) = (K_(I_C))/(√(\pi a_c))`

`\sigma_(max) = \frac{40}{\sqrt{\pi * 1.25 * 10^(-3)}}`

`\mathbf{\sigma_(max) =638.308 \ MPa}`