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Note for ENGINEERING MECHANICS - EM by Jyotirmayee Reddy

  • Engineering Mechanics - EM
  • Note
  • APJ Abdul Kalam Technological University - KTU
  • Mechanical Engineering
  • B.Tech
  • 6 Topics
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APJ ABDUL KALAM KERALA TECHNOLOGICAL UNIVERSITY BE 100 ENGINEERING MECHANICS Teaching Guide Draft Version (Released in May 2017) Prepared By JINSHAD U Assistant Professor Al Ameen Engineering College

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SYLLABUS Module Sem. Hrs Exam Marks Contents Statics: Fundamental concepts and laws of mechanics - Rigid body - I 2 Resultant of force and couple system 4 equilibrium in two dimensions - Two force and three force members. Types of supports - Problems involving point loads and uniformly II 2 Principle of transmissibility of forces Coplanar force systems - Moment of a force - Principle of moments Equilibrium of rigid body - Free body diagram - Conditions of 15% 3 15% 35 15% 63 15% 51 20% 79 20% 92 3 5 distributed loads only. Force systems in space - Degrees of freedom - Free body diagram - Page No 4 Equations of equilibrium - Simple resultant and Equilibrium problems. Properties of planar surfaces - Centroid and second moment of area (Derivations not required) - Parallel and perpendicular axis theorem - 3 Centroid and Moment of Inertia of composite area. III Polar Moment of Inertia - Radius of gyration - Mass moment of inertia of cylinder and thin disc (No derivations required). Product of inertia — Principal Moment of Inertia (conceptual level). Theorems of Pappus and Guldinus. system of connection bodies - Problems on determinate beams only. Dynamics: Rectangular and Cylindrical co-ordinate system VI 6 ladder, wedges and connected bodies. Definition of work and virtual work - Principle of virtual work for a V 3 1 Friction - Characteristics of dry friction - Problems involving friction of IV 2 4 1 Combined motion of rotation and translation - Concept of 4 instantaneous centre - Motion of connecting rod of piston and crank of a reciprocating pump. Rectilinear translation - Newton’s second law - D’Alembert’s Principle 4 Application to connected bodies (Problems on motion of lift only). Mechanical vibrations - Free and forced vibration - Degree of freedom. 1 Simple harmonic motion - Spring-mass model - Period - Stiffness Frequency - Simple numerical problems of single degree of freedom. 7 101 Question Papers KTU 1

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INSTRUCTIONS TO TEACHERS / STUDENTS 1. This Teaching Guide is prepared based on the course BE 100 ENGINEERING MECHANICS syllabus laid down by APJ Kerala Technological University and released in 2016. 2. This draft version of the Teaching Guide prepared based on the above syllabus is not meant for the study of Engineering Mechanics in general. 3. The Guide can be referred by both teachers and students for browsing the topics in general. However, in no way, can it replace a standard textbook or reference of study. 4. This course kit is intended for private circulation only and is not meant for publication by any means. The material contains information, formulae, diagrams, pictures, questions, etc from various textbooks, references and online resources. The author does not claim any right to the contents of the course kit. 5. The contents and questions in the textbook have been set to help students understand core concepts in a simple lucid manner. 6. The entire course is divided into modules which have been further sub-divided into chapters based on the topics of study. The modules have been presented in an order based on an easy method of teaching. Modules and Chapter have been given appropriate names for references. 7. The contents within boxes are meant for extra information and understanding. The matter within the boxes may also include topics that I felt need to be discussed for better understanding. 8. The questions have been set on increasing standard meant for better understanding of concepts. The answer kit for the questions in this course kit is in the process of completion. 9. Since there are infinite number of practical problems associated with mechanics, students are advised grasp the concept rather than blindly know how to solve a particular type of problem. 10. A list of the University question papers has been attached at the end to help students understand the Question Pattern. 11. I am highly indebted to my colleagues, students and critiques for motivating me to continue updating this material for the betterment of this study of Mechanics 12. Finally, I advise students to critically analyse the concepts of each topic and question them if it does not ring your bells since there lays the true process of learning. JINSHAD U 2

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MODULE 1 – STATICS 1 CHAPTER 1 – RIGID BODY : FORCES AND FORCE SYSTEMS A. MECHANICS Mechanics can be defined as the branch of physics concerned with the state of rest or motion of bodies that subjected to the action of forces. Archimedes (287–212 BC), Galileo (1564–1642), Sir Issac Newton (1642–1727) and Einstein (1878–1955) have contributed a lot to the development of mechanics. Contributions by Varignon, Euler, D. Alembert are also substantial. The mechanics developed by these researchers may be grouped as (i) Classical mechanics/Newtonian mechanics (ii) Relativistic mechanics (iii) Quantum mechanics/Wave mechanics. Sir Issac Newton, the principal architect of mechanics, consolidated the philosophy and experimental findings developed around the state of rest and state of motion of the bodies and put forth them in the form of three laws of motion as well as the law of gravitation. The mechanics based on these laws is called Classical mechanics or Newtonian Mechanics. Albert Einstein proved that Newtonian mechanics fails to explain the behaviour of high speed (speed of light) bodies. He put forth the theory of Relativistic Mechanics. Schrödinger (1887–1961) and Broglie (1892–1965) showed that Newtonian mechanics fails to explain the behaviour of particles when atomic distances are concerned. They put forth the theory of Quantum Mechanics. Classifications of Classical Mechanics 3

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