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Applied Mechanics and Design

Engineering Applications and Design

Applied Mechanics and Design
L. N. Pattaniak
Birla Institute of Technology, Mesra Ranchi (India)

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Mechanics deals with application of forces and their effects on rigid bodies (without deformation) in rest or in motion. Hence the subject is clearly divided into Statics (rigid body in rest) and Dynamics (body in motion). Further, dynamics is classified into Kinetics (includes forces in analysis) and Kinematics (only effects of forces are considered).

The various approaches in engineering mechanics rely on the following fundamental concepts of physics:

  • Newton’s three laws of motion
  • Laws of friction
  • Laws of forces
  • Lami’s theorem
  • Resultant and resolution of force or any other vector
  • Work and energy
  • Rectilinear and circular motion
  • Deflection and energy in springs
  • Moment of inertia of area/mass


1.1 Free-body diagrams and equilibrium
1.2 Trusses and frames
1.3 Virtual work
1.4 Kinematics and dynamics of particles
1.5 Impulse and momentum (linear and angular) and energy formulations
1.6 Collisions

2.1 Stress and strain
2.2 Elastic constants and Poisson's ratio
2.3 Mohr’s circle for plane stress and plane strain
2.4 Thin and thick cylinders
2.5 Shear force and bending moment diagrams
2.6 Bending and shear stresses
2.7 Deflection of beams
2.8 Torsion of circular shafts
2.9 Euler’s theory of columns
2.10 Energy methods
2.11 Thermal stresses
2.12 Strain gauges and rosettes
2.13 Testing of materials with universal testing machine
2.14 Testing of hardness and impact strength

3.1 Displacement, velocity and acceleration analysis of plane mechanisms
3.2 Gears and gear trains
3.3 Flywheels
3.4 Free and forced vibration of single degree of freedom systems
3.5 Effect of damping
3.6 Vibration isolation and resonance
3.7 Critical speeds of shafts

4.1 Design for static and dynamic loading
4.2 Failure theories
4.3 Fatigue strength and the S-N diagram
4.4 Principles of the design of machine elements
4.4.1 Bolted joints
4.4.2 Riveted joints
4.4.3 Welded joints
4.4.4 Shafts
4.4.5 Gears
4.4.6 Rolling and sliding contact bearings
4.4.7 Brakes and clutches
4.4.8 Springs

Rigid Body Diagrams

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