Topic outline
-
Lecturer:
ROSLI ANANG
TAN CHER SIANG
MOHD YUNUS ISHAKSemester:
Semester x 201x/xx
SynopsisThe course is designed to expose the students to the basic principles of statics and dynamics. The subject is divided into two parts: Mechanics of Statics and Mechanics of Dynamics. The content of the lecture will be emphasized on the application of the basic mechanics principle in civil engineering.
Mechanics of Statics deals with equilibrium of bodies, i.e. bodies at rest and bodies moving with a constant velocity. It includes resultant and resolution of forces, equilibrium of a particle, force system resultant, equilibrium of rigid bodies, center of gravity and centroid, and moment of inertia of an area.
Mechanics of Dynamics deals with the accelerated motion of bodies. It includes kinematics and kinetics of a particle and of a rigid body. Kinematics discusses the relationship between displacement, velocity and acceleration against time. Kinetics covers the concepts of force and acceleration (Newton’s second law of motion), energy and work, impulse and momentum, and vibration.
At the end the course, students should be able to incorporate and utilise principles of applied mechanics in civil and structural engineering problems.
This work, SKAA1213 Engineering Mechanics by Tan Cher Siang and Yunus Ishak is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License
-
INTRODUCTION
- Introductions to Engineering Mechanics.
- Definitions of a particle, rigid body, concentrated force.
- Scalar and vector.
- Newton’s Laws of Motion.
-
RESULTANT AND RESOLUTION OF FORCES
- Introduction.
- Addition and subtraction of concurrent forces.
- Resolution of forces in two-dimensional space.
- Resultant of concurrent coplanar force system.
- Resultant of forces using graphical method.
- Resolution of a force in three-dimensional space.
- Resultant of a three-dimensional concurrent force system.
-
EQUILIBRIUM OF A PARTICLE
- Equilibrium of a particle in two-dimensional space.
- Equilibrium of a particle in three-dimensional space.
-
MOMENT AND COUPLE
- Moment of a force and couple.
- Principle of moment and Varignon’s Theorem.
- Moment of a system of coplanar forces and couples.
- Moment of a three-dimensional force system.
-
EQUILIBRIUM OF RIGID BODIES
- Principle of equilibrium.
- Free body diagram.
- Equilibrium of a rigid body in two-dimensional space.
- Equilibrium of a rigid body in three-dimensional space.
-
FRICTION
- Introduction
- Equilibrium of forces on a horizontal plane
- Equilibrium of forces on an inclined plane
-
CENTERS OF GRAVITY AND CENTROIDS
- Introduction.
- Centroid of line, area and volume
- Center of gravity for load.
MOMENT OF INERTIA OF AN AREA
- Introduction.
- Parallel Axis Theorem.
- Polar moment of inertia.
- Radius of gyration of an area.
-
KINEMATIC OF PARTICLES
- Rectilinear motion
- Particle motion described by equation of position, velocity and acceleration.
- Motion of a particle with constant acceleration
- Motion of a particle with varying acceleration
- Curvilinear motion :Normal and tangential velocity and acceleration.
- Circular Motion, angular velocity and acceleration.
- Projectile motion.
-
FORCE AND ACCELERATION
- Newton’s Laws of Motion, F = ma .
- Rectilinear Motion of a particle.
- Particles moving on inclined plane, under gravity and through resisting medium.
- Motion of connected bodies.
- Curvilinear Motion, normal and tangential components.
- Circular Motion. centripetal force and acceleration.
-
WORK AND ENERGY
- Relationship Between Work and Energy.
- Work Done: constant rectilinear force, load, spring.
- Kinetic Energy. Potential energy
- Principle of work and Energy.
- Conservation of energy.
-
IMPULSE AND MOMENTUM
- Principle of Impulse and Momentum.
- Conservation of Momentum.
- Principle of Restitution.
- Central Impact For Elastic Body.
- Oblique Impact between Two Spheres.
-
VIBRATION
- Introduction
- Umdamped Free Vibration
- Damped Free Vibration