# SOLID MECHANICS 1 - 2025/6

Module code: ENG1066

## Module Overview

This module consists of two components: stress analysis and dynamics. In this module, students will extend their understanding of stress analysis from uni-axial to multi-axial conditions. In dynamics, students will be introduced in to concepts of linear momentum and the mathematical modelling of one- and two-degree of freedom mechanical systems.

### Module provider

Mechanical Engineering Sciences

BIRCH David (Mech Eng Sci)

### Module cap (Maximum number of students): N/A

Independent Learning Hours: 62

Lecture Hours: 33

Tutorial Hours: 11

Guided Learning: 11

Captured Content: 33

Semester 2

N/A

## Module content

Indicative content includes:

Stress analysis

Multiaxial behaviour: stress transformation of two-dimensional stress states; principal stresses; strain and strain gauges; strain transformation and principal strains; multi-axial stress-strain relationship; Poisson's ratio and generalized Hooke's law, and the relationship between shear modulus, Young's modulus and Poisson ratio; introduction to failure criteria according to Rankine, Tresca and von Mises.

Stress analysis in mechanical design: uniform torsion, non-uniform torsion and statically indeterminate problems featuring torsion; transmission of power by circular shafts; combined bending and torsion of shafts.

Dynamics

Principles of displacement, velocity and acceleration; coordinate systems, vectors and vector notation; relative motion; free-body diagrams; conservation of linear momentum, collisions, internal and external forces, impulse and constrained motion; angular momentum of particles; conservation of momentum of rigid bodies, external moments, moments of inertia and constrained motion.

## Assessment pattern

Assessment type Unit of assessment Weighting
Coursework Stress analysis coursework 10
Examination FINAL EXAMINATION (2 HOURS) 90

None.

## Assessment Strategy

The assessment strategy is designed to provide students with the opportunity to demonstrate that they have developed a good understanding of the fundamental principles and physics underlying the behaviour of solid objects under applied loads.

Thus, the summative assessment for this module consists of

(a)   An element stress analysis coursework, addressing learning outcomes 1 and 2, and

(b)   A final examination, addressing learning outcomes 1, 2, 3, 4 and 5.

Formative assessment and feedback is provided in all tutorials, and on preparatory activities for the coursework.

## Module aims

• Provide students with a basic introduction to the elastic response of solids to externally applied loads, including multi-axial stresses and strains, the stress-strain relationship and failure criteria;
• Provide students with the fundamental analytical skills to mathematically model the motion of systems of particles and rigid bodies with and without mass and/or external forces.

## Learning outcomes

 Attributes Developed 001 On successful completion of this module, students will be able to: Design simple components under multi-axial stress states by using a combination of stress analysis and the appropriate failure criteria; KC 002 Idealise simple engineering structures; K 003 Discuss the principle of conservation of momentum and its relevance to physical phenomena and engineering practice; K 004 Solve for the motion of one- and two-degree-of-freedom rigid-body systems with external applied forces; KC 005 Analyse simple dynamic systems. KC

Attributes Developed

C - Cognitive/analytical

K - Subject knowledge

T - Transferable skills

P - Professional/Practical skills

## Methods of Teaching / Learning

The learning and teaching strategy is designed to introduce students to fundamental concepts in statics, stress analysis, dynamics and their applications through the development of the theoretical framework and its application to practical problem-solving.

The learning and teaching methods include lectures in which students will be introduced to fundamental concepts and demonstrations of the application of these concepts to solving complex problems, and tutorials in which students are guided through the problem-solving process and given the opportunity to apply their learning individually and in small groups with staff guidance.

Indicated Lecture Hours (which may also include seminars, tutorials, workshops and other contact time) are approximate and may include in-class tests where one or more of these are an assessment on the module. In-class tests are scheduled/organised separately to taught content and will be published on to student personal timetables, where they apply to taken modules, as soon as they are finalised by central administration. This will usually be after the initial publication of the teaching timetable for the relevant semester.

Upon accessing the reading list, please search for the module using the module code: ENG1066

## Other information

The School of Mechanical Engineering Sciences is committed to developing graduates with strengths in (i) employability, (ii) digital capabilities, (iii) global and cultural capabilities, (iv) sustainability and (v) resilience. This module is designed to allow students to develop knowledge, skills and capabilities in the following areas:

Employability: Basic stress analysis and mechanical modeling are critical skills used by professional engineers; students will be developing key transferrable analytical skills which are directly transferrable to the engineering workplace.

Sustainability: Through the examples and case studies selected as demonstrations in this module, the importance of sustainabile engineering will be reinforced;

## Programmes this module appears in

Programme Semester Classification Qualifying conditions
Mechanical Engineering BEng (Hons) 2 Compulsory A weighted aggregate mark of 40% is required to pass the module
Mechanical Engineering MEng 2 Compulsory A weighted aggregate mark of 40% is required to pass the module
Biomedical Engineering BEng (Hons) 2 Compulsory A weighted aggregate mark of 40% is required to pass the module
Biomedical Engineering MEng 2 Compulsory A weighted aggregate mark of 40% is required to pass the module
Aerospace Engineering BEng (Hons) 2 Compulsory A weighted aggregate mark of 40% is required to pass the module
Aerospace Engineering MEng 2 Compulsory A weighted aggregate mark of 40% is required to pass the module

Please note that the information detailed within this record is accurate at the time of publishing and may be subject to change. This record contains information for the most up to date version of the programme / module for the 2025/6 academic year.