An aircraft component is fabricated from an aluminum alloy that has a plane strain fracture toughness of 31 MPa√//m. It has been determined that fracture results at a stress of 227 MPa when the maximum (or critical) internal crack length is 2.47 mm. a) Determine the value of Yo√ra for this same component and alloy at a stress level of 340 MPa when the maximum internal crack length is 1.24 mm. i M. MPa √m b) Under these circumstances will the component fail? No Yes Unable to Determine

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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### Aircraft Component Fracture Analysis

An aircraft component is fabricated from an aluminum alloy with a plane strain fracture toughness of 31 MPa√m. Fracture occurs at a stress of 227 MPa when the maximum (critical) internal crack length is 2.47 mm.

#### Problem Statement

**a) Calculation:**
Determine the value of \( Y \sigma \sqrt{\pi a} \) for the same component and alloy under a stress level of 340 MPa when the maximum internal crack length is 1.24 mm.

*Input Box:*
- Enter the calculated value in MPa√m.

**b) Failure Assessment:**
Evaluate whether the component will fail under these conditions.

*Options:*
- No (selected)
- Yes
- Unable to Determine

This exercise involves understanding the critical stress intensity factor and applying fracture mechanics concepts to assess material failure under specified conditions.
Transcribed Image Text:### Aircraft Component Fracture Analysis An aircraft component is fabricated from an aluminum alloy with a plane strain fracture toughness of 31 MPa√m. Fracture occurs at a stress of 227 MPa when the maximum (critical) internal crack length is 2.47 mm. #### Problem Statement **a) Calculation:** Determine the value of \( Y \sigma \sqrt{\pi a} \) for the same component and alloy under a stress level of 340 MPa when the maximum internal crack length is 1.24 mm. *Input Box:* - Enter the calculated value in MPa√m. **b) Failure Assessment:** Evaluate whether the component will fail under these conditions. *Options:* - No (selected) - Yes - Unable to Determine This exercise involves understanding the critical stress intensity factor and applying fracture mechanics concepts to assess material failure under specified conditions.
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