# Engineering

## ECM2114 - Solid Mechanics (2010)

MODULE TITLE CREDIT VALUE Solid Mechanics 15 ECM2114 Prof Christopher Smith (Coordinator), Prof Philippe Young
DURATION: TERM 1 2 3
DURATION: WEEKS
DESCRIPTION - summary of the module content
AIMS - intentions of the module
To extend the students' knowledge of solid mechanics and dynamics. The concepts are fundamental to engineering and should be understood by all engineers. The level here is sufficient for students studying Engineering and Management, whilst leading into further work in later semesters for students studying Civil and Mechanical Engineering.
INTENDED LEARNING OUTCOMES (ILOs) (see assessment section below for how ILOs will be assessed)
Note: List A comprises core outcomes that will be covered fully in lectures and must be achieved by all students to meet the minimum university requirement for progression. List B comprises outcomes that are EITHER more difficult to achieve OR are to be achieved by private study (or both). All outcomes will be assessed, and coverage of List B outcomes is essential for both BEng and MEng students. [b]A: THRESHOLD LEVEL[/b] (1) Solid Mechanics (CWS) Resolve internal stresses and strain energy for solid members. Calculate stress concentrations for simple cases. Calculation of behaviour of simple torsion members. Resolve principle stresses for simple cases. Analyse stresses and strains in simple pressure vessel systems. (1) Dynamics (PGY) (2) Define simple harmonic motion and justify its use as an approximation. Recognise SHM from mathematical equation. Contrast the behaviour of damped and undamped, forced and naturally oscillating systems. Illustrate these concepts with reference to simple pendulum, vibrating spring. (3) Identify modes of vibration of 2 and 3 body systems, calculate frequencies using eigenvalue analysis. (4) Define moment of inertia for a solid body, compute simple moments of inertia using parallel, perpendicular axis theorems. [b]B: GOOD TO EXCELLENT[/b] (1) Resolve stresses and strain energy density for members with more complicated loading. Resolve stress concentrations for members with combined loading. Analyse more complex torsion systems used for power transmission including strain energy density. Convert between principle stresses and strains for variety of cases. Calculate tresses and strains for variety of complex pressure vessel systems and plane strain beams. (2) Solve problems involving SHM for pendulum, spring systems using energy and force methods: illustrate results using phase plots. Discuss the behaviour of such systems when the assumption of linearity is relaxed, and solve simple nonlinear systems. (3) Analyse force/motion isolator systems mathematically. (4) Compute moments of inertia from first principles by integration.
SYLLABUS PLAN - summary of the structure and academic content of the module
Solid Mechanics (CWS): 1. Revision of solid mechanics, (stresses on inclined planes/strain energy); 2. Stress concentrations, (St Venants principle); 3. Torsion, (Power Transmission/statically indeterminate torsion members/strain energy in torsion and shear); 4. Stress and strain, (plane stress/principle stresses/Mohrs circle/Hookes law/triaxial stress/plane strain); 5. Applications of plane stress, (spherical pressure vessels/cylindrical pressure vessels/maximum stresses in beams). Dynamics (PGY): 1.Simple Harmonic Motion in damped/undamped/forced systems; 2. Vibrational modes of coupled systems up to 3 d.o.f.; 3. Non-linear vibrating systems.
LEARNING AND TEACHING
LEARNING ACTIVITIES AND TEACHING METHODS (given in hours of study time)
DETAILS OF LEARNING ACTIVITIES AND TEACHING METHODS
ASSESSMENT
FORMATIVE ASSESSMENT - for feedback and development purposes; does not count towards module grade
SUMMATIVE ASSESSMENT (% of credit)
 Coursework Written Exams 30 70
DETAILS OF SUMMATIVE ASSESSMENT
DETAILS OF RE-ASSESSMENT (where required by referral or deferral)
RE-ASSESSMENT NOTES
RESOURCES
INDICATIVE LEARNING RESOURCES - The following list is offered as an indication of the type & level of
information that you are expected to consult. Further guidance will be provided by the Module Convener