A thin walled rotating shaft is subjected to a torque and a bending load. The torque produces the shear stress of 140 MPa. The bending load produces the normal stress varying through the shaft cross-section from -80 MPa to 80 MPa. The shaft may contain through cracks of unknown orientation with the length of up to 3.5 mm. The shaft material has oy 350 MPa, E= 70 GPa, v=0.315, K-42 MPa-m2. The crack growth is approximately described by the Paris law with A=6.9-10-12 (m/cycle)/[(MPa-m¹/2)³]. Assume that K₁ =1.1.σo ·√√·a, where a is the crack half length. Estimate the number of revolutions that can be withstood without failure.
A thin walled rotating shaft is subjected to a torque and a bending load. The torque produces the shear stress of 140 MPa. The bending load produces the normal stress varying through the shaft cross-section from -80 MPa to 80 MPa. The shaft may contain through cracks of unknown orientation with the length of up to 3.5 mm. The shaft material has oy 350 MPa, E= 70 GPa, v=0.315, K-42 MPa-m2. The crack growth is approximately described by the Paris law with A=6.9-10-12 (m/cycle)/[(MPa-m¹/2)³]. Assume that K₁ =1.1.σo ·√√·a, where a is the crack half length. Estimate the number of revolutions that can be withstood without failure.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![A thin walled rotating shaft is subjected to a torque and a bending
load. The torque produces the shear stress of 140 MPa. The bending load produces the
normal stress varying through the shaft cross-section from -80 MPa to 80 MPa. The shaft
may contain through cracks of unknown orientation with the length of up to 3.5 mm. The
shaft material has oy-350 MPa, E= 70 GPa, v=0.315, KI-42 MPa-m¹2. The crack
growth is approximately described by the Paris law with A=6.9-10-12
(m/cycle)/[(MPa-m¹²)³]. Assume that K₁=1.1.0 √√a, where a is the crack half length.
Estimate the number of revolutions that can be withstood without failure.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf00c939-af5e-42b8-8f77-404781bae8d1%2F80042148-6dc5-4fef-9409-d764311c3143%2Flgyw7q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A thin walled rotating shaft is subjected to a torque and a bending
load. The torque produces the shear stress of 140 MPa. The bending load produces the
normal stress varying through the shaft cross-section from -80 MPa to 80 MPa. The shaft
may contain through cracks of unknown orientation with the length of up to 3.5 mm. The
shaft material has oy-350 MPa, E= 70 GPa, v=0.315, KI-42 MPa-m¹2. The crack
growth is approximately described by the Paris law with A=6.9-10-12
(m/cycle)/[(MPa-m¹²)³]. Assume that K₁=1.1.0 √√a, where a is the crack half length.
Estimate the number of revolutions that can be withstood without failure.
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