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UES009
Mechanics
Dr. Surya Kant Sahdeo
ssahdeo@ce.iitr.ac.in
9475181646
Civil Engineering Department
L T
2 1
• CREDITS 2.5
• Mark Distribution
– Sessionals 30
– EST 70
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
Engineering Mechanics- Basudev Bhattacharya.
Oxford Higher Education
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
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
Coarse Contents
1. Review of Newton’s law of motion and vector algebra
2. Equilibrium of bodies: Free-body diagrams, conditions of
equilibrium, torque due to a force, statical determinacy.
3. 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.
6. Virtual work: Principle of virtual work, calculation of virtual
displacement and virtual work.
7. 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
Railway bridge
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
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
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
Third Law
The mutual force of action and reaction between two particles are
equal. opposite. and collinear
•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.
•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
Representation of Force
Parallelogram law of vectors
Solve using both parallelogram law and Triangle law
A=150
B=100
Take angle as 65
Solving using parallelogram law
Solving using Triangular law
Value of magnitude (FR) will be same for both the laws
Solving Fu and Fv using Triangular law or sine law
Using sine law
Can be written as:
600
𝑆𝑖𝑛 30
=
𝐹𝑣
𝑆𝑖𝑛 30
=
𝐹𝑢
𝑆𝑖𝑛 120
On equating
On equating
UESwwwwww12jfknwjncsdivnsdvicsdcncwwww.pptx
UESwwwwww12jfknwjncsdivnsdvicsdcncwwww.pptx

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UESwwwwww12jfknwjncsdivnsdvicsdcncwwww.pptx

  • 1. UES009 Mechanics Dr. Surya Kant Sahdeo ssahdeo@ce.iitr.ac.in 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.
  • 8. Coarse Contents 1. Review of Newton’s law of motion and vector algebra 2. Equilibrium of bodies: Free-body diagrams, conditions of equilibrium, torque due to a force, statical determinacy. 3. 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.
  • 9. 6. Virtual work: Principle of virtual work, calculation of virtual displacement and virtual work. 7. 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
  • 10.
  • 11.
  • 13.
  • 14.
  • 15.
  • 16. 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
  • 17. 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
  • 18. 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
  • 19. Third Law The mutual force of action and reaction between two particles are equal. opposite. and collinear
  • 20. •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.
  • 21. •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
  • 23.
  • 24.
  • 26.
  • 27. Solve using both parallelogram law and Triangle law
  • 28. A=150 B=100 Take angle as 65 Solving using parallelogram law Solving using Triangular law Value of magnitude (FR) will be same for both the laws
  • 29. Solving Fu and Fv using Triangular law or sine law Using sine law Can be written as: 600 𝑆𝑖𝑛 30 = 𝐹𝑣 𝑆𝑖𝑛 30 = 𝐹𝑢 𝑆𝑖𝑛 120 On equating On equating