Mechanics 2 Lecture 1: Module Introduction and Review of Mechanics 1 Dr Aziza Mahomed a.mahomed@bham.ac.uk Department of Mechanical Engineering Mechanics 2: General information Module aim ❑ The aim of the module is to enhance students' knowledge and understanding of the mathematics and scientific principles related to mechanics and materials, and to develop their ability to apply this knowledge in a number of topics. Mechanics 2: General information Learning outcomes Subject-specific Knowledge: ❑ At the end of the module the student should be able to demonstrate knowledge and understanding of the theory and application (problem solving) of the engineering mechanics covered in this course. Mechanics 2: General information Lecture material and examples: Pre-recorded and available on Canvas Tutorial: Selection of questions are pre-recorded and available on Canvas. All solutions uploaded on Canvas. Module breakdown: ❑ 20 hours of lectures: 10 hours on statics and 10 hours on dynamics (pre-recorded lectures broken down by weeks on Canvas) ❑ 20 hours of tutorials: 10 hours on statics and 10 hours on dynamics (broken down by weeks on Canvas) ❑ In addition there is independent study Mechanics 2: General information Core texts (Resource lists on Canvas): ❑ The recommended text are the same as for the 1st year Mechanics 1 Module. • R C Hibbeler, “Statics and Mechanics of Materials”, 5th edition in SI Units, Pearson 2018. • RUSSELL C. HIBBELER, (2017); Engineering Mechanics: Dynamics, Global Edition, 14th Edition Mechanics 2: General information Modes of teaching and learning: Pre-recorded Lectures ❑ The Mechanics 2 course is covered in pre-recorded lectures. The pre-recorded lecture sessions are all and available on Canvas. 1. ❑ In addition, all lecture notes with the material covered in pre-recorded lecture are provided on Canvas. Mechanics 2: General information Modes of teaching and learning: 2. On campus sessions ❑ There will be a two hour guided study per week on campus to enable the opportunity for students to engage with the module material. The expectation is that students will have watched the pre-recorded weekly content beforehand. 3. Tutorials (2 hours on campus sessions) ❑ The tutorials questions and solutions are available on Canvas as PDF documents. ❑ There is also a selection of solutions that are pre recorded and are available on Canvas. Mechanics 2: General information Modes of assessment: ❑ Main assessment: • Summative Laboratory Report (Semester 1) (20%) Please note that the exact dates of the lab report submission will be communicated during Semester 1. Students will submit one report only. • Summative 3 hour Exam (January exam/assessment period) (80%). Students will answer all questions. Mechanics 2: General information Modes of assessment: What happens if you fail the module in the main period? ❑ If a student fails the module, they will be allowed to re-sit in the Supplementary exam period. ❑ If a student fails the module, and has failed the lab report component, they will be allowed to re-submit a lab report in the Supplementary period. ❑ If a student has failed the module but passed the lab report component, you are not required to submit another lab report and your mark will be carried forward into the supplementary period. In this case you only need to re-sit the exam in the supplementary exam period. Mechanics 2: Subject matter Mechanics: The study of how bodies react to forces acting on them Dynamics (study of motion): Statics: The study of bodies in equilibrium 1. Kinematics- Concerned with the geometric aspects of motion (s,ν,a, and t) 2. Kinetics- Concerned with the forces causing the motion First half of Semester 1 Second Half of Semester 1 Mechanics 2: Lecture Topics Semester 1: Mechanics of Static Systems lectures Week Lecture Lecture Topic Tutorial Topic 1 1 Module Introduction and Review of Mechanics 1 Review of Mechanics 1 1 2 Complex stress and stress transformation Complex stress and stress transformation 2 3 Principal stresses and maximum shear stress Principal stresses and maximum shear stress 2 4 Mohr’s Circle Mohr’s Circle 3 5 Thin walled pressure vessels Thin walled pressure vessels 3 6 Maximum shear stress and failure theory Maximum shear stress and failure theory 4 7 Failure theory 2 Failure theory 2 4 8 Castigliano’s theorem for beam deflection (1) Castigliano’s theorem for beam deflection (1) 5 9 Castigliano’s theorem for beam deflection (2) Castigliano’s theorem for beam deflection (2) 5 10 Introduction to finite element analysis, summary and review (NOT ASSESSED- BACKGROUND ONLY) All topics Mechanics 2: Lecture Topics Dynamics Syllabus (Second Half of Semester 1) ❑ Vector analysis of the dynamics (both kinematics and kinetics) of twodimensional rigid body systems with applications to simple linked systems including rods, gears, wheels and non linked systems. Extracted from: “Mechanics for Engineers: Dynamics, 13th SI Edition (2013), Russell C. Hibbeler, Kai Beng Yap, Pearson Education Centre,” MasteringEngineering Instructor Resources. Images © Pearson Education South Asia Pte Ltd 2013. All rights reserved. Mechanics 2: Lecture Topics Semester 2: Mechanics of Dynamic Systems lectures Week Lecture Lecture Topic Tutorial Topic 6 1 Translation and rotation Translation and rotation 6 2 Absolute motion analysis Absolute motion analysis 7 3 Relative motion analysis-velocity Relative motion analysis-velocity 7 4 Instantaneous centre of zero velocity Instantaneous centre of zero velocity 8 5 Relative motion analysis-acceleration Relative motion analysis-acceleration 8 6 Relative motion analysis using rotating axes Relative motion analysis using rotating axes 9 7 Moment of inertia Moment of inertia 9 8 Planar kinetic equations of motion-translation Planar kinetic equations of motion-translation 10 9 Equations of motion- rotation about a fixed axis Equations of motion- rotation about a fixed axis 10 10 Equations of motion- General plane of motion Equations of motion- General plane of motion