Teaching Responsibility

LJMU Schools involved in Delivery:

LJMU Partner Taught

Learning Methods

Lecture
Tutorial

Module Offerings

5509USST-SEP-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.
Apply the equations of motion for rigid bodies undergoing translation, rotation about fixed axes and general plane motion. Analyse the dynamical behaviour of systems with one-degree-of-freedom by applying the notions of stiffness, damping, natural frequency, rate decay.
4.
Apply mathematical models for systems with two-degree-of-freedom, analyse their dynamical behaviour in terms of natural frequencies and modes and evaluate solutions for vibration control.

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 body diagrams. Two-dimensional kinematics and dynamics of rigid bodies. Applications. 1DOF systems. Free vibration of undamped/damped systems. Harmonic motion/Damped motion. Response of one-degree-of-freedom systems to harmonic excitations. 4 Vibration 2 2DOF systems. Free vibration of two-degree-of-freedom systems. Eigenvalues and modes. Frequency response function. Vibration isolation. Vibration transmission.
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.

Assessments

Exam
Presentation