Teaching Responsibility
LJMU Schools involved in Delivery:
LJMU Partner Taught
Learning Methods
Online
Module Offerings
5502MDLBHG-JAN-PAR
Aims
To provide the means for solving many basic engineering problems by learning the principles of mechanics for rigid and deformable solid bodies.
Learning Outcomes
1.
Determine stresses and strains in an elastic continuum
2.
Assess modes of failure for components under bending and torsional loading
3.
Analyse dynamic behaviour of systems with one-degree-of-freedom by applying the notions of stiffness, damping, natural frequency and rate decay.
4.
Determine equivalent models for rigid body systems, analyse and evaluate their dynamic behaviour by using notions of experimental dynamics.
Module Content
Outline Syllabus:1 Continuum Stress Analysis
Elasticity of a continuum. 2D stress/strain transformations, Mohr’s Circle (stress/strain). Use of strain gauges to determine strains in loaded components. Practical examples.
Thin and thick walled cylinders. Application of thin wall pressure vessel theory. Cylindrical and spherical vessels. Application of Lame’s equations .
2 Failure Modes
Yield criteria. Application of Rankine, Tresca and Von-Mises theories to components under bending and torsional loading conditions. Application to brittle and ductile materials.
Elastic instability. Critical buckling loads. Use of Euler, Rankine-Gordon and Perry-Robertson methods.
Fatigue. S-N curves and endurance limit. Factors affecting the endurance limit and their application. Effects of non-zero mean stress.
3 Dynamics. Vibration 1
Free vibration of one-degree-of-freedom systems, modelling, equation of motion, harmonic motion and spectral analysis.
4 Vibration 2
Forced vibration of damped and undamped systems, time and frequency response, natural frequencies and modes, notions of experimental dynamics.
Additional Information:The module extends previous studies in mechanics by examining more applied problems, which relate to real mechanical systems. It helps to strengthen the student’s knowledge for successful mechanical design.