A large plate of steel is loaded in tension to a stress of 245 MPa. If...
A large plate of steel is loaded in tension to a stress of 245 MPa. If the fracture toughness of the steel plate (KIc) is 44 MPa.m0.5, determine the critical crack length at which the plate would catastrophically fail, for
i) a through the thickness edge crack
ii) a through the thickness internal crack.
Homework Answers
NOTE: The geometric factor Y is not given. We will assume that for large plate Y =1
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A large plate of steel is loaded in tension to a stress of 245
MPa. If...
1. A large plate is fabricated from a steel alloy that has a plane strain fracture toughness of 8...
1. A large plate is fabricated from a steel alloy that has a plane strain fracture toughness of 82.4 MPavm. If the plate is exposed to a tensile stress of 345 MPa during service use, determine the minimum length of a surface crack that will lead to fracture. Assume a value of 1.0 for Y. Maximum stress at tip of elliptically shaped crack Pt 2Ery, 1/2 critical stress required for crack propagation in a brittle material πα KIe YoeVra Fracture...
Deformation and Fracture Mechanics 1. (Fracture toughness) (a) An AISI 4340 steel plate has a width...
Deformation and Fracture Mechanics
1. (Fracture toughness) (a) An AISI 4340 steel plate has a width W of 30 cm and has a central crack 2a of 3 mm. The plate is under a uniform stress, ?·This steel has a Kic value of 50 m2. Find the maximum stress for this crack length. (b) If the operating stress is 1500 MPa, compute the maximum crack size that the steel may have without failure. 2. (Plastic zone radius) The size of...
A large plate is fabricated from a steel alloy that has a plane strain fracture toughness...
A large plate is fabricated from a steel alloy that has a plane strain fracture toughness of 75 MPam (68.25 ksi vin.). If the plate is exposed to a tensile stress of 347 MPa (50330 psi) during use, determine the minimum length of a surface crack that will lead to fracture. Assume a value of 0.94 for Y. mm
A plate 95 mm wide, 190 mm long, and 11.4 mm thick is loaded in tension...
A plate 95 mm wide, 190 mm long, and 11.4 mm thick is loaded in tension in the direction of the length. The plate contains a crack as shown in the figure below with the crack length of 15.2 mm. The material is steel with KIC= 80 MPa (m)(1/2) and Sy= 950 MPa. 6.0 5.0 4.0 3.0 h/b=0.5 1.0 2.0 1.0 0.2 0.4 a/b ratio Ignoring stress concentration, determine the maximum possible load that can be applied to the plate...
A plate 125 mm wide, 250 mm long and 14 mm thick is loaded in tension...
A plate 125 mm wide, 250 mm long and 14 mm thick is loaded in tension in the direction of the length. The plate contains a crack as shown in Figure 5-26 (textbook) with a crack length of 25 mm. The material is steel with Kic - 30 MPa.mQS and Sy- 950 Mpa. Determine the maximum possible load that can be applied before the plate has uncontrollable crack growth. a. 201 357 6.417 d. 124 .229
A plate 92 mm wide, 184 mm long, and 11.04 mm thick is loaded in tension...
A plate 92 mm wide, 184 mm long, and 11.04 mm thick is loaded in tension in the direction of the length. The plate contains a crack as shown in the figure below with the crack length of 14.7 mm. The material is steel with Kic=80 MPa (m) (121 and Sy=950 MPa 7.0 6.0 5.0 4.0 3.0 1/b=0.5 1.0 2.0 10 OB 04 06 ON wibratio Determine the maximum possible load before the plate has uncontrollable crack growth. The maximum...
A plate 90 mm wide, 180 mm long, and 10.8 mm thick is loaded in tension...
A plate 90 mm wide, 180 mm long, and 10.8 mm thick is loaded in tension in the direction of the length. The plate contains a crack as shown in the figure below with the crack length of 14.4 mm. The material is steel with Kic= 80 MPa (m)(12) and Sy =950 MPa. 7.0 6.0 5.0 4.0 3.0 h/b=0.5 1.0 2.0 1.0 0.2 0.6 0.8 0.4 a/b ratio Determine the maximum possible load before the plate has uncontrollable crack growth....
A plate 125 mm wide, 250 mm long and 12 mm thick is loaded in tension...
A plate 125 mm wide, 250 mm long and 12 mm thick is loaded in tension in the direction of the length. The plate contains a crack as shown in Figure 5-26 (textbook) with a crack length of 31 mm. The material is steel with KIC - 70 MPa.m0.5 and Sy - 950 Mpa. Determine the maximum possible load that can be applied before the plate has uncontrollable crack growth. 2.314 KN b.283 KN OC 202 KN d. 165 KN...
A wide plate is manufactured from high strength Al 7075 and the material is loaded with...
A wide plate is manufactured from high strength Al 7075 and the material is loaded with a stress of 250 MPa. KIc for this material is 24 MPa m1/2 and the yield stress is 495 MPa. a. If the geometry is such that Y = 1.25, what is the maximum length of an internal crack that the material can sustain without catastrophic failure? b. Assuming that the stress was sometimes reduced to 200 MPa, but it cycled between 200 and...
3.2 A steel tension bar 8-mm thick and 50-mm wide with an initial single- edge crack...
3.2 A steel tension bar 8-mm thick and 50-mm wide with an initial single- edge crack of 10-mm long is subjected to an uniaxial stress o = 140 MPa. a) Determine the stress intensity factor K). Is the crack stable? b) Determine the critical crack size, and c) determine the critical load. Data: Kic = 60 MPaym. [Solution: a) 34 MPa, b) 31.1 mm, and c) 98.84 kN).
1. A large plate is fabricated from a steel alloy that has a plane strain fracture toughness of 82.4 MPavm. If the plate is exposed to a tensile stress of 345 MPa during service use, determine the minimum length of a surface crack that will lead to fracture. Assume a value of 1.0 for Y. Maximum stress at tip of elliptically shaped crack Pt 2Ery, 1/2 critical stress required for crack propagation in a brittle material πα KIe YoeVra Fracture...
Deformation and Fracture Mechanics
1. (Fracture toughness) (a) An AISI 4340 steel plate has a width W of 30 cm and has a central crack 2a of 3 mm. The plate is under a uniform stress, ?·This steel has a Kic value of 50 m2. Find the maximum stress for this crack length. (b) If the operating stress is 1500 MPa, compute the maximum crack size that the steel may have without failure. 2. (Plastic zone radius) The size of...
A large plate is fabricated from a steel alloy that has a plane strain fracture toughness of 75 MPam (68.25 ksi vin.). If the plate is exposed to a tensile stress of 347 MPa (50330 psi) during use, determine the minimum length of a surface crack that will lead to fracture. Assume a value of 0.94 for Y. mm
A plate 95 mm wide, 190 mm long, and 11.4 mm thick is loaded in tension in the direction of the length. The plate contains a crack as shown in the figure below with the crack length of 15.2 mm. The material is steel with KIC= 80 MPa (m)(1/2) and Sy= 950 MPa. 6.0 5.0 4.0 3.0 h/b=0.5 1.0 2.0 1.0 0.2 0.4 a/b ratio Ignoring stress concentration, determine the maximum possible load that can be applied to the plate...
A plate 125 mm wide, 250 mm long and 14 mm thick is loaded in tension in the direction of the length. The plate contains a crack as shown in Figure 5-26 (textbook) with a crack length of 25 mm. The material is steel with Kic - 30 MPa.mQS and Sy- 950 Mpa. Determine the maximum possible load that can be applied before the plate has uncontrollable crack growth. a. 201 357 6.417 d. 124 .229
A plate 92 mm wide, 184 mm long, and 11.04 mm thick is loaded in tension in the direction of the length. The plate contains a crack as shown in the figure below with the crack length of 14.7 mm. The material is steel with Kic=80 MPa (m) (121 and Sy=950 MPa 7.0 6.0 5.0 4.0 3.0 1/b=0.5 1.0 2.0 10 OB 04 06 ON wibratio Determine the maximum possible load before the plate has uncontrollable crack growth. The maximum...
A plate 90 mm wide, 180 mm long, and 10.8 mm thick is loaded in tension in the direction of the length. The plate contains a crack as shown in the figure below with the crack length of 14.4 mm. The material is steel with Kic= 80 MPa (m)(12) and Sy =950 MPa. 7.0 6.0 5.0 4.0 3.0 h/b=0.5 1.0 2.0 1.0 0.2 0.6 0.8 0.4 a/b ratio Determine the maximum possible load before the plate has uncontrollable crack growth....
A plate 125 mm wide, 250 mm long and 12 mm thick is loaded in tension in the direction of the length. The plate contains a crack as shown in Figure 5-26 (textbook) with a crack length of 31 mm. The material is steel with KIC - 70 MPa.m0.5 and Sy - 950 Mpa. Determine the maximum possible load that can be applied before the plate has uncontrollable crack growth. 2.314 KN b.283 KN OC 202 KN d. 165 KN...
3.2 A steel tension bar 8-mm thick and 50-mm wide with an initial single- edge crack of 10-mm long is subjected to an uniaxial stress o = 140 MPa. a) Determine the stress intensity factor K). Is the crack stable? b) Determine the critical crack size, and c) determine the critical load. Data: Kic = 60 MPaym. [Solution: a) 34 MPa, b) 31.1 mm, and c) 98.84 kN).
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