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# hw5 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY DEPARTMENT OF...

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY DEPARTMENT OF MECHANICAL ENGINEERING CAMBRIDGE, MASSACHUSETTS 02139 2.002 MECHANICS AND MATERIALS II HOMEWORK # 5 Distributed : Wednesday, April 7, 2004 Due : Wednesday, April 14, 2004 Problem 1 The typical properties of several steels that are being considered for use in bridges in Alaska, and therefore will have service temperatures as low as 60 o F , are as follows: Steel (ASTM Grade) Minimum Yield Strength (ksi) Yield Strength at 60 o F ,(ksi) K Ic at 60 o F , (ksi in) A36 36 44 60 A441 50 69 53 A572 50 57 100 A514 100 110 60 For a design stress of 0 . 6 of the minimum yield strength [to be encountered in service], compare the critical crack sizes for fast fracture at the design stress for each steel. Use an edge crack in a large plate for your analysis (note: for this geometry, the numerical value of the configuration correction factor is Q = 1 . 12). With which material would you choose to design? Discuss the tradeoffs you are aware of, including how your inspection technology might inﬂuence your decision.

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