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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...
1. A large, thick plate contains a through crack with total crack length 2a, lying in...
1. A large, thick plate contains a through crack with total crack length 2a, lying in the x-axis (figure below). The size of the specimen is much larger than the crack. The toughness of the material is Gc-11.7 KJ / m2 , the Young's modulus of the material is E-200 GPa, the Poisson's ratio v 0.25, and the yield stress is sufficiently high. If the remote stresses are σ o, :: 200 MPa. Try-100 MPa, what should be the critical...
1. A large, thick plate contains a through crack with total crack length 2a, lying in the x-axis (figure below). The size of the specimen is much larger than the crack. The toughness of the materi...
1. A large, thick plate contains a through crack with total crack length 2a, lying in the x-axis (figure below). The size of the specimen is much larger than the crack. The toughness of the material is Gc-11.7 KJ / m2 , the Young's modulus of the material is E-200 GPa, the Poisson's ratio v 0.25, and the yield stress is sufficiently high. If the remote stresses are σ o, :: 200 MPa. Try-100 MPa, what should be the critical...
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).
A harmless or harmful crack? (20) routine inspection, a crack was detected in a cylindrical pressure vessel having a wall thickness 186 mm. characteristic dimension (a) of this crack was measured...
A harmless or harmful crack? (20) routine inspection, a crack was detected in a cylindrical pressure vessel having a wall thickness 186 mm. characteristic dimension (a) of this crack was measured to be 0.025 m and it was acted on by a hoop stress -120MPa. For this crack configuration, the stress intensity factor may be calculated using π.a auwhere O-2.93 racture toughness of the vessel material is KIc -59MPavm e need to worry about this crack? late the factor of...
A plate of with 1.5 m and length 2.4 m with an edge crack of 3...
A plate of with 1.5 m and length 2.4 m with an edge crack of 3 mm is exposed to a tensile load of 7 MN in the direction of 2.4 m. The plate is manufactured from a material of yield strength Sy=1240 MPa and KIC-87 MPa.vm. Using factor of safety n-1.4, find the minimum thickness of the plate in mm: 2- Without crack b- With crack
A steel (KIC = 132 MPa√m) ship deck plate is 30 mm thick and 12 m...
A steel (KIC = 132 MPa√m) ship deck plate is 30 mm thick and 12 m wide. It is loaded with a uniaxial tensile stress of 50 MPa and is in an enviroment below the ductile-to-brittle transition temperature. If a crack of length 2a=65 mm is present, find the factor of safety with respect to failure under the current loading conditions and estimate the tensile stress at which catastrophic failure will occur. You may assume β = 1.
A PMMA plate with a 25 mm (width) x 6.5 mm (thickness) cross-section has a contained...
A PMMA plate with a 25 mm (width) x 6.5 mm (thickness) cross-section has a contained crack of length 2c = 0.5 mm in the center of the specimen. If the applied load (along the 2 length direction) is 1000 N, calculate the stress intensity factor. If the fracture toughness of PMMA, K1c = 1.15 MPa.m1/2, at what load (in N) does the crack propagate?
1. AA 6061, a high-strength aluminum alloy, has a 0.2% offset yield strength of 37,500-psi and...
1. AA 6061, a high-strength aluminum alloy, has a 0.2% offset yield strength of 37,500-psi and a plane strain fracture toughness (Kic) 26,400-psi (inch) At a service stress equivalent to 80% of the yield strength, will this structure fracture if it contains an edge crack of length 2.24-inches. Assume that the geometric factor, f, is 1.12. 2. A steel alloy, which has a plane strain fracture toughness (Kle) of 49-MPa(m) is exposed to a service stress of 1010-MPa. Is fracture...
A cylindrical pressure vessel of 250 mm mean diameter and 6 mm wall thickness is fabricated...
A cylindrical pressure vessel of 250 mm mean diameter and 6 mm
wall thickness is fabricated from a 1.2 m length of spirally welded
pipe AB as shown. Tank gauge pressure is 4 MPa and centric axial
forces P and P1 of 240 kN act through rigid end plates. Determine:
(a) Net longitudinal and hoop stresses. (b) Normal stress acting
perpendicular to weld and shear stress parallel to weld (show
sketch of Mohr’s circle). (c) Determine the Factor of Safety...
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...
1. A large, thick plate contains a through crack with total crack length 2a, lying in the x-axis (figure below). The size of the specimen is much larger than the crack. The toughness of the material is Gc-11.7 KJ / m2 , the Young's modulus of the material is E-200 GPa, the Poisson's ratio v 0.25, and the yield stress is sufficiently high. If the remote stresses are σ o, :: 200 MPa. Try-100 MPa, what should be the critical...
1. A large, thick plate contains a through crack with total crack length 2a, lying in the x-axis (figure below). The size of the specimen is much larger than the crack. The toughness of the material is Gc-11.7 KJ / m2 , the Young's modulus of the material is E-200 GPa, the Poisson's ratio v 0.25, and the yield stress is sufficiently high. If the remote stresses are σ o, :: 200 MPa. Try-100 MPa, what should be the critical...
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).
A harmless or harmful crack? (20) routine inspection, a crack was detected in a cylindrical pressure vessel having a wall thickness 186 mm. characteristic dimension (a) of this crack was measured to be 0.025 m and it was acted on by a hoop stress -120MPa. For this crack configuration, the stress intensity factor may be calculated using π.a auwhere O-2.93 racture toughness of the vessel material is KIc -59MPavm e need to worry about this crack? late the factor of...
A plate of with 1.5 m and length 2.4 m with an edge crack of 3 mm is exposed to a tensile load of 7 MN in the direction of 2.4 m. The plate is manufactured from a material of yield strength Sy=1240 MPa and KIC-87 MPa.vm. Using factor of safety n-1.4, find the minimum thickness of the plate in mm: 2- Without crack b- With crack
1. AA 6061, a high-strength aluminum alloy, has a 0.2% offset yield strength of 37,500-psi and a plane strain fracture toughness (Kic) 26,400-psi (inch) At a service stress equivalent to 80% of the yield strength, will this structure fracture if it contains an edge crack of length 2.24-inches. Assume that the geometric factor, f, is 1.12. 2. A steel alloy, which has a plane strain fracture toughness (Kle) of 49-MPa(m) is exposed to a service stress of 1010-MPa. Is fracture...
A cylindrical pressure vessel of 250 mm mean diameter and 6 mm
wall thickness is fabricated from a 1.2 m length of spirally welded
pipe AB as shown. Tank gauge pressure is 4 MPa and centric axial
forces P and P1 of 240 kN act through rigid end plates. Determine:
(a) Net longitudinal and hoop stresses. (b) Normal stress acting
perpendicular to weld and shear stress parallel to weld (show
sketch of Mohr’s circle). (c) Determine the Factor of Safety...
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