Problem 6.7 A steel shaft, originally 15 cm diameter is sub- jected to an uniform radial compressive stress of 20 MPa. Assuming that the radial stress remains constant, find the uniform longitudinal stress required to reduce the initial diameter by 0.0015 cm and calculate the alteration of volume for a 15 cm length of shaft, E = 200 GPa, Poisson's ratio = 0.3

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
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Problem 6.7 A steel shaft, originally 15 cm diameter is sub-
jected to an uniform radial compressive stress of 20 MPa. Assuming that
the radial stress remains constant, find the uniform longitudinal stress
required to reduce the initial diameter by 0.0015 cm and calculate the
alteration of volume for a 15 cm length of shaft, E = 200 GPa, Poisson's
ratio = 0.3.
Transcribed Image Text:Problem 6.7 A steel shaft, originally 15 cm diameter is sub- jected to an uniform radial compressive stress of 20 MPa. Assuming that the radial stress remains constant, find the uniform longitudinal stress required to reduce the initial diameter by 0.0015 cm and calculate the alteration of volume for a 15 cm length of shaft, E = 200 GPa, Poisson's ratio = 0.3.
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