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# Engineering Applications. Analytical and Numerical Calculation with MATLAB. Edition No. 1

• ID: 5186228
• Book
• April 2021
• 360 Pages
• John Wiley and Sons Ltd
A comprehensive text on the fundamental principles of mechanical engineering

Engineering Applications presents a comprehensive text to the fundamental principles and applications of the statics and mechanics of materials in the design of complex mechanical systems. The book uses the modern tool of MATLAB to help solve problems with numerical and analytical calculations. The authorsÂnoted experts on the topicÂoffer an understanding of the static behaviour of engineering structures and components considering the mechanics of materials knowledge as an essential part (most important) for their design.

The authors explore the concepts, derivations and interpretations of the general principles and discuss the creation of mathematical models and the formulation of the mathematical equations. The practical text highlights the solutions of the problems that are solved analytically and numerically using MATLAB. The figures generated with MATLAB reinforce visual learning for students (and professionals) as they study the programs. This important text:

Â? Shows how mechanical principles are applied to engineering design

Â? Covers basic material with both mathematical and physical insight

Â? Provides an understanding of classical mechanical principles

Â? Offers the modern tool of MATLAB to solve problems

Â? Helps to reinforce learning using visual and computational techniques

Written for students and professional mechanical engineers, Engineering Applications helps hone reasoning skills in order to interpret data, generate mathematical equations and learn different methods of solving them for evaluating and designing engineering systems.
Note: Product cover images may vary from those shown

1 Forces 1

1.1 Terminology and Notation 1

1.2 Resolution of Forces 2

1.3 Angle Between Two Forces 4

1.4 Force Vector 5

1.5 Scalar (Dot) Product of two Forces 5

1.6 Cross Product of two Forces 6

1.7 Examples 6

2 Moments and Couples 15

2.1 Types of Moments 16

2.2 Moment of a Force About a Point 16

2.3 Moment of a Force about a Line 19

2.4 Couples 21

2.5 Examples 23

3 Equilibrium of Structures 59

3.1 Equilibrium Equations 60

3.2 Supports 61

3.3 Free-Body Diagrams 63

3.4 Two-Force and Three-Force Members 65

3.5 Plane Trusses 65

3.6 Analysis of Simple Trusses 67

3.6.1 Method of Joints 68

3.6.2 Method of Sections 70

3.7 Examples 73

4 Centroids and Moments of Inertia 137

4.1 Center of the Mass and Centroid 137

4.2 Centroid and center of the mass of a solid region, surface or curve 138

4.3 Method of decomposition 141

4.4 First moment of an area 142

4.5 The Center of Gravity 143

4.6 Examples 144

5 Stress, Strain and deflection 195

5.1 Stress 195

5.2 Elastic Strain 195

5.3 Shear and Moment 196

5.4 Deflections of Beams 199

5.5 Examples 203

6 Friction 223

6.1 Coefficient of Static Friction 224

6.2 Coefficient of Kinetic Friction 225

6.3 Friction Models 226

6.3.1 Coulomb friction model 226

6.3.2 Coulomb model with viscous friction 228

6.3.3 Coulomb model with stiction 229

6.4 Angle of Friction 230

6.5 Examples 232

7 Work, Energy and Power 269

7.1 Work 270

7.2 Kinetic Energy 271

7.3 Work and Power 272

7.4 Conservative Forces 274

7.5 Work Done by the Gravitational Force 274

7.6 Work Done by the Friction Force 275

7.7 Potential Energy and Conservation of Energy 275

7.8 Work Done and Potential Energy of an Elastic Force 276

7.9 Potential energy due to the gravitational force 277

7.9.1 Potential energy due to the gravitational force for a particle 277

7.9.2 Potential energy due to the gravitational force for a rigid body 278

7.10 Examples 279

8 Simple Machines 315

8.1 Load and Effort, Mechanical Advantage, Velocity Ratio and Efficiency of a

Simple Machine 315

8.2 Effort and Load of an Ideal Machine 317

8.3 The Lever 318

8.4 Inclined Plane (Wedge) 319

8.5 Screws 320

8.6 Simple Screwjack 321

8.7 Differential Screwjack 324

8.8 Pulleys 324

8.9 Differential Pulley 329

8.10 Wheel and Axle 329

8.11 Wheel and Differential Axle 331

8.12 Examples 334

Note: Product cover images may vary from those shown
Mihai Dupac
Dan Marghitu
Note: Product cover images may vary from those shown