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CORK INSTITUTE OF TECHNOLOGY
INSTITIÚID TEICNEOLAÍOCHTA CHORCAÍ
Autumn Examinations 2010/
Module Title: Mechanical Materials (3D)
Module Code: MECH
School: School of Mechanical & Process Engineering
Programme Title: Bachelor of Engineering in Mechanical Engineering
Programme Code: EMECH_8_Y
External Examiner(s): Prof. R. Clarke, Mr J.J. Hayes Internal Examiner(s): Mr S.F. O Leary
Instructions: Answer THREE questions. All questions carry equal marks.
Duration: 2 Hours Sitting: Autumn 2011
Requirements for this examination:
Note to Candidates: Please check the Programme Title and the Module Title to ensure that you have received the correct examination. If in doubt please contact an Invigilator.
Q1. (a) Compare thick and thin cylinder theory with particular reference to assumptions, applicability and accuracy. Illustrate your answer by diagram where appropriate. (14 marks)
(b) A steel sleeve of 250mm outside diameter is to be shrunk onto a solid steel shaft of 150mm diameter. Find the interference required in order that a shrinkage pressure of 20MN/m^2 is set up? What percentage error would be involved if the shaft were assumed to be incompressible? Given Modulus of Elasticity = 208GN/m^2 Poisson’s Ratio = 0.3 (20 marks)
Q2. The stress field at a critical point in a complex loaded polymer component with respect to a cartesian coordinate system is given by the following array:
[ ] MN/m
2
Determine the magnitudes of the principal stresses and their orientations with respect to the original coordinate system in terms of direction cosines. Carry out calculation checks where appropriate. (34 marks)
