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.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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