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1. A structural beam made of 7075-T6 aluminum has a rectangular cross section 10 mm thick and 100 mm deep. It is subjected to
1. A structural beam made of 7075-T6 aluminum has a rectangular cross section 10 mm thick and 100 mm deep. It is subjected to a 3-point bending with a mid-point loading P. The span (distance between the outer supports) S is 1.1 m. During inspection, a through thickness edge crack of length 12.5 mm has been detected on the tensile surface of the beam. Treat the beam as an SENB in 3-point bending. Given the material properties: Yield stress oys = 520 MPa; Ultimate strength rs = 575 MPa; and Fracture Toughness Kc = 77 MPam; Ealstic modulus E = 72 GPa. a. Determine the collapse load, Pc. b. Determine the SIF or K-ratio, K, in terms of P. (that is, K, = (??)P) c. Using the Failure Assessment Diagram (FAD), determine the maximum load P the member can withstand without failure (find Per). d. For an applied load, P, of 25 kN, determine the largest crack that can be tolerated without failure. Use FAD.
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