Applied Mechanics, Volume 1

Couverture
John Wiley & sons, Incorporated, 1915
 

Table des matières

Composition of Forces
61
Composition of Parallel Forces not Confined to the Same Plane
72
4 DISTRIBUTED FORCES
84
Uniformly Varying Stress
90
Problems
96
Determination of the Constant
105
ART PAGE 94 Center of Gravity of a Line
111
Problems Centers of Gravity of Lines
112
Center of Gravity of a Thin Plate of Uniform Thickness and Ma terial
113
Center of Gravity of a Plane Surface
114
Centers of Gravity of Surfaces not in the Same Plane
115
Center of Gravity of a Slender Rod of Uniform Section and
119
Pappuss Theorems
125
Centers of Gravity of Homogeneous Solids and Systems of Solids
126
Experimental Methods of Determining Centers of Gravity
130
CHAPTER IV
132
Units of Moments of Inertia of Areas
133
Radius of Gyration
134
Problems Deduction of Formulas for Moments of Inertia of Plane Areas
136
Summary of Formulas for Moments of Inertia of Areas
141
Method of Determining the Moments of Inertia of Areas by
142
Moments of Inertia of Structural Shapes
144
Moments of Inertia of Builtup Sections
146
Product of Inertia
148
Relation between Products of Inertia of Areas with Respect to Parallel Axes
149
Problems Products of Inertia
150
Product of Inertia of an Area with Respect to a Pair of Axes one of which is an Axis of Symmetry
153
Relations between the Moments and Products of Inertia of an Area about Different Pairs of Coördinate Axes Passing through the Same Point
155
Principal Moments of Inertia of Areas and Principal Axes
156
Axes of Symmetry of Areas are Principal Axes
157
ART PAGE 127 Ellipse of Inertia
158
Problems Moments of Inertia about Inclined Axes
160
Moment of Inertia of a Solid
162
Units of Moments of Inertia of Solids
163
Radius of Gyration of a Solid
164
Relations between Moments of Inertia of Solids about Parallel Axes
165
Problems Deduction of Formulas for Moments of Inertia of Homogeneous Solids
167
Summary of Formulas for Moments of Inertia of Solids
172
Method of Determining Moments of Inertia of Solids by Dividing into Finite Parts
173
Problems Moments of Inertia of Solids
174
Product of Inertia of a Solid
175
Product of Inertia of a Solid when one of the Coördinate Planes is a Plane of Symmetry
177
Principal Moments of Inertia of Solids
178
CHAPTER V
180
Linear Velocity
181
Linear Acceleration
182
Angular Velocity
186
Angular Acceleration
187
Resolution and Composition of Velocities
189
Resolution and Composition of Accelerations
191
Momentum
194
Moment of Momentum
195
Centripetal and Centrifugal Forces
196
Work and Energy
198
Motion of a Particle under the Action of the Force of Gravity
199
Motion of a Particle on a Frictionless Inclined Plane under the Action of Gravity
200
Motion of a Particle along a Curve under the Action of Gravity
201
Work Done by a Rotating Couple
229
Units of Work
231
Power
232
Units of Power
233
Power Diagram
234
Kinetic Energy of a System of Particles
236
Potential Energy
237
Conservative System
239
The Potential
242
Problems Work Energy Power
245
3 FRICTION 179 Sliding Friction
250
Laws of Sliding Friction
252
The Weight on the Inclined Plane
254
The Wedge
255
Axle Friction
256
Friction of an Axle Bearing at Two Elements
257
Friction of an Axle Bearing over a Surface
258
Pin Friction
260
Pivot Friction
261
Friction of Screw Threads
264
Friction Cones and Friction Discs
265
Belt Friction
266
Rope Drives
270
Maximum Power which can be Transmitted by a Belt or Rope
272
Rolling Friction
273
Weight on Rollers
275
Roller Bearing
276
STATICS
277
Mechanical Efficiency
278
4 KINETICS OF RIGID BODIES HAVING PLANE MOTION ONLY 199 Motion of a Rigid Body
285
Translation of a Rigid Body
286
ART PAGE 203 Kinetic Energy of a Body having a Motion of Translation
289
Momentum of a Body having a Motion of Translation
290
Angular Momentum
302
Kinetic Energy of a Rotating Body
303
Centripetal and Centrifugal Forces
304
Interchangeability of the Center of Percussion and the Center of Rotation
305
Center of Oscillation
306
Rotation and Translation Combined Instantaneous Axes
307
Momentum Due to Combined Translation and Rotation
315
Kinetic Energy Due to Translation and Rotation Combined
316
Problems Kinetics of Rigid Bodies
317
5 IMPACT 215 Impact or Collision
347
Direct Central Impact
348
Coefficient of Restitution
349
Kinetic Energy of the Colliding Bodies
350
Experimental Determination of the Coefficient of Restitution
351
Oblique Central Impact
352
Direct Eccentric Impact
353
Loss of Energy
354
Oblique Eccentric Impact
355
Examples of Direct Central Impact
356
Recoil of a Gun
357
Ballistic Pendulum
358
Problems Impact
360
Droits d'auteur

Autres éditions - Tout afficher

Expressions et termes fréquents

Informations bibliographiques