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1. UES009 Mechanics Dr. Surya Kant Sahdeo [email protected] 9475181646 Civil Engineering Department

2. L T 2 1 CREDITS 2.5 Mark Distribution Sessionals 30 EST 70

3. Shames, I. H. Engineering Mechanics: Dynamics, Pearson Education India Beer, Johnston, Clausen and Staab , Vector Mechanics for Engineers, Dynamics, McGraw-Hill Higher Education Hibler , T.A., Engineering Mechanics: Statics and Dynamics, Prentice Hall (2012). Timoshenko and Young, Engineering Mechanics, Tata McGraw Hill Education Private Limited

4. Engineering Mechanics- Basudev Bhattacharya. Oxford Higher Education

5. Mechanics Branch of science that is concerned with state of rest or of motion of bodies that are subjected to action of forces Rigid body mechanics Deformable body mechanics Fluid mechanics

6. Rigid body mechanics Statics Dynamics Statics deals with the equilibrium of bodies that are either at rest or move with constant velocity: Dynamics deals with bodies that have accelerated motion

7. Coarse Contents Review of Newton’s law of motion and vector algebra Equilibrium of bodies : Free-body diagrams, conditions of equilibrium, torque due to a force, statical determinacy. Plane trusses : Forces in members of a truss by method of joints and method of sections. 4. Friction : Sliding, belt, screw and rolling. 5. Properties of plane surfaces : First moment of area, centroid, second moment of area etc.

8. Virtual work : Principle of virtual work, calculation of virtual displacement and virtual work. Shear Force and Bending Moment Diagrams: Types of load on beams; classification of beams; axial, shear force and bending moment diagrams: simply supported, overhung and cantilever beams subjected to any combination of point loads, uniformly distributed and varying load and moment. Experimental project assignment/ Micro project : Students in groups of 4/5 will do project on Model Bridge Experiment : This will involve construction of a model bridge using steel wire and wood

9. Railway bridge

10. Course Learning Outcomes The students will be able to Determine resultants in plane force systems Identify and quantify all forces associated with a static framework Draw Shear Force Diagram and Bending Moment Diagram in various kinds of beams subjected to different kinds of loads

11. NEWTON’S THREE LAWS OF MOTION First law. A particle originally at rest or moving in a straight line with constant velocity, tends to remain in this state provided, the particle is not subjected to an unbalanced force

12. Second law. A particle acted upon by an unbalanced force F experiences an acceleration a that has the same direction as that of force and the magnitude that is directly proportional to force

13. Third Law The mutual force of action and reaction between two particles are equal. opposite. and collinear

14. Particle It has mass but size that can be neglected Rigid bodies It can be considered to be made up of large number of particles in which all particles remain at fixed distance from one another both before and after applying of force Deformable bodies The bodies in which particle to particle distance does not remain the same and it can go in the plastic zone in which it can completely change or deform.

15. Concentrated force - When a force acts on a small area Concurrent and non concurrent system of forces When line of action of all forces pass through a single point then it is concurrent system of forces When line of action of all forces pass through a single point then it is non concurrent system of forces

16. Representation of Force

17. Parallelogram law of vectors

18. Solve using both parallelogram law and Triangle law

19. A=150 B=100 Take angle as 65 Solving using parallelogram law Solving using Triangular law Value of magnitude (F R ) will be same for both the laws

20. Solving F u and F v using Triangular law or sine law Using sine law Can be written as: =   On equating On equating