Sub : I/I Applied Mechanics

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Sub : APPLIED MECHANICS
Code : EG 439 CE
Sem : I/I

Theory : 80
Assmnt : 20
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Total : 100
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Syllabse:
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STATICS

1. General Principle of Statics:
-equilibrium of particles
-fundamentals length, time and mass
-SI units

2. Vectors:
-Force and position vector
-Addition, Sub, dot & cross products, scalar and triple products, unit vectors

3. Equilibrium of Particles:
-Condition of Equilibrium.
-FBD (Free Body Diagrams)
-Coplanar force systems, transmissibility, force resultant
-3D - Force Systems

4. Force System Resultants:
-Cross Products
-Moments of force - scalar and vector form
-Moments of couple - scalar and vector form
-Reduction of system of forces
-moments to a single force and couples
-Resultant force
-moment for a system of forces

5. Equilibrium of a Rigid Body:
-Conditions for equiblirium
-Equilibrium in 2D : equations, two and three force members
-Equilibrium in 3D : equations, constraints for rigid bodies

6. Friction:
-Laws, Static and Dynamic Friction, Coefficients, Angle of Friction

7. Planar Trusses, Frames and Mechanisms:
-Simple Trusses
-Types of frames : determinate and indeterminate
-Degree of freedom, structure or mechanism
-Internal member force calculation: Trusses, Frames and mechanisms

8. Beams:
-Classification of Beams, loads and supports
-internal shear force, axial force and bending moment at a section

9. Fluid Statics (Hydrostatics):
-Distribution of pressure on submerged surfaces
-Center of pressure and resultant force

10. Center of Gravity and Centroid:
-Center of gravity
-Centroids of lines, areas and volumes
-Second moment (Moment of momentum - inertia)of an area

11. Moment of inertia:
-Moment of inertia by integration
-Parallel axis theorem
-Moments of inertia of composite areas

DYNAMICS

12. Kinematics of a particle:
-Rectilinear and curvilinear motion
-Uniformly accelerated motion
-Projectile motion
-Rectangular, normal and tangential components of acceleration

13. Kinetics of a Particle:
-Newton's laws and equations of motion
-Normal(rectangular) and tangential components
-Principle of work and energy
-Works, power and efficiency
-Linear impulse and momentum
-Angular impulse and momentum

14. Planar Kinematics of a Rigid Body:
-Translation, rotation and general plane motion
-Relative velocity and acceleration analysis
-Applications

15. Force analysis for Rigid Bodies:
-Equations of motion
-Need for moments of inertia
-Translation, pure rotation and general plane motion
-Constrained motion in plane

16. Principle of work and energy for rigid bodies:
-Kinetic energy
-PE; gravitational forces and elastic elements
-Conservative and non-conservative systems
-Work by external forces, applied loads, frictional force

17. Linear and angular impulse and momentum for Rigid Bodies:
-Conservation of linear and angular momentum
-Impulse motion and accentric impact


TextBooks:
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1. Beer and Johnson, "Vector Mechanics for Engineers, Static and Dynamics", Third Edition, TMH
2. Hibbeler, "Engineering Mechanics, statics and Dynamics", 5th Edition, MacMilan publishers, NY
3. Beer and Johnson, "Mechanics of Materials", TMH, 1981

Syllabse Typed By:
-------------------
Bhupal Sapkota
http://www.bhupalsapkota.com.np

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