Problem 4: Fracture An alloy steel is being considered for an application in shipbuilding. Suppose a plate is under a tensile force as shown. The plate has a total width and thickness of 120 mm and 10 mm, respectively. The plate may have a center crack up to 40 mm in total length (a = 20 mm). The ship will experience both high and low temperatures. The material properties depend on temperature, as shown below: Temperature Sy (MPa) KIC (MPa mº.5) Low High 550 400 50 200 P 10 mm 40 mm 120 mm a) Considering both fracture and yielding as possible failure modes, calculate the strength of this plate (the minimum load at which any kind of failure will occur) at both temperatures. Low temperature: Pfail = High temperature: Pfail = b) The structure must "fail safe" (yield before fracture) at both temperatures. Is the material suitable for this application? Yes, or No. Briefly explain your answer:

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Problem 4: Fracture
An alloy steel is being considered for an application in shipbuilding.
Suppose a plate is under a tensile force as shown. The plate has a
total width and thickness of 120 mm and 10 mm, respectively. The
plate may have a center crack up to 40 mm in total length (a = 20 mm).
The ship will experience both high and low temperatures. The material
properties depend on temperature, as shown below:
Temperature Sy (MPa) KIC (MPa m°.5)
Low
High
550
400
50
200
P
10 mm
40 mm
120 mm
a) Considering both fracture and yielding as possible failure modes, calculate the strength of
this plate (the minimum load at which any kind of failure will occur) at both temperatures.
Low temperature: Pfail
High temperature: Pfail:
=
b) The structure must "fail safe" (yield before fracture) at both temperatures. Is the material
suitable for this application? Yes, or No. Briefly explain your answer:
Transcribed Image Text:Problem 4: Fracture An alloy steel is being considered for an application in shipbuilding. Suppose a plate is under a tensile force as shown. The plate has a total width and thickness of 120 mm and 10 mm, respectively. The plate may have a center crack up to 40 mm in total length (a = 20 mm). The ship will experience both high and low temperatures. The material properties depend on temperature, as shown below: Temperature Sy (MPa) KIC (MPa m°.5) Low High 550 400 50 200 P 10 mm 40 mm 120 mm a) Considering both fracture and yielding as possible failure modes, calculate the strength of this plate (the minimum load at which any kind of failure will occur) at both temperatures. Low temperature: Pfail High temperature: Pfail: = b) The structure must "fail safe" (yield before fracture) at both temperatures. Is the material suitable for this application? Yes, or No. Briefly explain your answer:
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