Aims

Building on Mechanics I, this module adds breadth and depth of knowledge and understanding in three areas: statics; strength of materials; dynamics. The main aims of this module are:
•       to provide the principles of the design and analysis of statically determinate and indeterminate
structures;
•       to develop an understanding of strength, stiffness and stability within structures and structural
elements;
•       to provide the key concepts and theory of thick-walled cylinders and compound cylinders;
•       to develop knowledge of stress and strain in two-dimensions and three-dimensions, and, in addition,
contact mechanics;
•       to develop an ability to understand kinematics and kinetics of planar system problems.
The module has a strong mathematical content and includes fundamental theory behind many common
engineering mechanics problems.

Outline Of Syllabus

As in Mechanics I, the syllabus is structured around three main areas:

1. Statics (14 lecture hours [7 PiP + 7 asynchronous online], AM)

•       Concepts of static determinacy, indeterminacy, and instability mechanisms for trusses, beams and frames,
principle of superposition.
•       Structural Analysis: method of sections, space trusses, frames versus machines.
•       Internal loadings developed in structural members and frames: loading, shear force, bending moment
diagrams, mathematical relations between loads, shear force and moment.
•       Deflections: deflection diagrams and the elastic curve, elastic-beam theory, the double integration
(Macaulay's) method.
•       Deflections using energy methods: energy balance, virtual work principle, Castigliano’s theorem,
Maxwell’s law of reciprocal deflections, Betti’s law.
•       Analysis of statically indeterminate structures by the force method: trusses, beams and frames.

2. Strength of Materials (14 lecture hours [7 PiP + 7 asynchronous online], FF)

•       Thick-walled cylinders under internal pressure, stresses in internally pressurised thick-walled
cylinders and yielding failure criterion, changes in radii; part yield and burst of thick-walled
cylinders; compound cylinders, stress due to interference fit.
•       Engineering stress and strain in 2D and 3D: matrix representation, Mohr’s circle, invariants, principal
stresses and the von Mises criterion for yield.
•       Hertz equations for contact mechanics; rolling contact, creepage, the Archard wear law and wear maps.

3. Dynamics (16 lecture hours [8 PiP + 8 asynchronous online], BG)

•       Kinematics of Planar Systems using Relative Motion Method: Definition of the vectors of displacement,
velocity, acceleration, angular velocity, angular acceleration; Kinematics of planar mechanisms (e.g.
Crank-Slider, Rack and Pinion).
•       Kinetics of Planar Systems using Newton-Euler Method: Pure Translation; Rotation about a fixed point;
General Plane Motion (e.g. Rolling); Dynamics of connected systems (Simple Joints, Constraint forces,
Free Body Diagrams); Two Force Members; Effect of inertia in rotating systems (e.g. shaft whirling,
self-excitation).

Teaching Rationale And Relationship

Lectures convey the underlying engineering science and the approaches required to apply this to the discipline specific problems identified.
Tutorials support the students' self-study in reading around the lecture material and learning to solve the practical engineering problems posed by the tutorial questions.
Laboratory work enables students to attain hands-on experience in analysing and solving real engineering problems.
In terms of contact hours, the ratio of PiP to Non-PiP in this module is 68% to 32%.

Assessment Rationale And Relationship

The online examinations provide an appropriate way to assess the theoretical understanding.
Laboratory work enables realistic engineering problems to be set. The students will be aware of the definitions, SI units and dimensions of physical quantities and be able to apply the broad base of scientific principles, which underpin the characteristics and uses of engineering discipline, with some deeper knowledge and understanding in a chosen topic.