None
HART'S parallel motion, 433 Hartnell's governor, 382 Height of governor, 371 Helical wheel teeth, 131, 559 Higher pairs of elements, 57, 403 friction in, 576 Hirn's dynamometers, 463, 630 Hooke's joint (See Universal joint), 498 Horse power, 254 Hunting'of governors, 381 Hyperboloids as pitch surfaces, 550 Interference mechanisms, 455 Inversion of chain, 68 Isochronous governors, 379 J- JENKIN, Prof., friction experiments, 574 Journals, friction in, 572 Joy's valve gear, 446 KEMPE, Mr. A. B., exact parallel motions, 417, 430, 437 Kite, 437 Knuckle joint, 285 LEMNISCOID, 425 Lever-crank mechanism, 61, 70, 395 Lever, problems on, 273 as a turning pair, 392 Lewis, Mr. W., friction experiments, 578 Line, position and motion of, 29, 31 Line-contact in higher pairs, 57, 66 Linear velocity, 83. 85', 162 constructions for finding, 86 relation to angular velocity, 96 diagrams of relative, 103, 177 with acceleration, 193 Links, kinematic, 60 shape of, 66 axes of, 77 equilibrium of, 280 equilibrium of fixed, 306 non-rigid, 462 friction axes of, 607 in conic mechanisms, 493 Link motion of steam-engine, 442 Loaded governor, 377 Locomotive, problems on, 251 Lubrication, 572 I. IDLE wheel, 132 Image in mechanisms, 430 Impulse, 230 Inaccessible points in constructions, 90, 99, 283, 288 Inclined plane, 392 Indicator cards of steam-engine, 321, 325 Indicator springs, 464 Inefficiency of mechanisms, 581 Inertia, reduced, 360 moment of, 232, 240 Instantaneous motion, 35 Instantaneous centre. See Virtual centre Institution o f Mechanical Engineers (friction experiments), 571 M. MACHINE, definition of, 2 constrainment in, 60 relation to kinematic chain, 65 Mass, 219 problems on, 223 Mass centre, 229, 340 Mechanisms, relation to machine, 63 to chain, 66 simple, 66 static problems, 287 compound, 68 static problems, 294 positions of equilibrium of, 315 friction in, 610 650 INDEX. Mechanical efficiency, 630 Mechanical Engineers, friction experi- ments, 57 r, 574 Mitre wheels, 542 Momentum, linear, 229 problems, 234 angular, 231 problems, 238, 244 Moment of external forces, 269 Moment of inertia, 232, 240 Morin, experiments on friction, 571, 574 Moseley, efficiency of machines, 571 Motion, quantity of, 238 Profiles of elements, 54 of wheel teeth, 122 Prony brake, 630 Pulley tackle, 394, 473 friction in, 635 Pulleys, friction of straps &c. on, 577, 622 Pumping engine, 336, 345 Q. QUICK return mechanism, 500 N. NASMYTH, dividing machine, 484 Non-rigid links, 462 OLDHAM coupling, 114, 517 Order of mechanisms. See Classification P. PANTAGRAPH, 415 skew, 416 Parabolic governors, 380 Parallelogram linkwork, 93, 414, 434 Parallel motions, with slides, 417 with spur gear, 147 with pin joints, 422 do. exact, 427 Parallel motion of links, 434 Pendulum lever for brakes, 632 Permanent centre, 47 Peaucellier parallel motion, 295, 427 Pin joints, friction in, 439, 572, 586, 590 Piston, velocity diagrams, 103 Pistons, metallic, friction of, 577 Piston rod, equilibrium of, 277 Pitch of helix, 17 of skew wheels, 552 of screw wheels, 557 Pitch circles, 119 Pivots, friction in, 576, $97 Plagiograph (Sylvester's), 416 Plane motion, 13, 35, 562 Point in a plane,iposition^and motion, 29 Point paths, 35 Polar diagrams, 106, 322 Pole, Dr., on engine friction, 438 Porter governor, 378 Powerfulness of governors, 385 Pressures in machines, 260 Pressure in bearings, 572 Proll, Dr., acceleration diagrams, 203 governor, 383 R. RADIUS of gyration or oscillation, 167, 243 Radius of inertia, 167, 231, 243 Railway brakes, friction in, 576 Railway wheels, velocities of, 149 Rankine, Prof., parallel motions, 424 counter-efficiency, 571 pin friction construction, 586 belt gearing, 623, 627 pulley tackle, 635 Ratchet trains, 459 Reciprocating parts (acceleration), 348 Reduced inertia, 360 Reduction of mechanism, 402 Relative motion, 19, 2;, 33 Relative position, 28 Relative velocities, 9. See -also Linear velocity and Angular velocity. Resistance, 251 Resistance diagrams, 320, 540 Resistance to acceleration, 263 Reuleaux, Prof., constrainment of change points, 119, J47 form of wheel teeth, 123 higher pairs cf elements, 130, 153 screw chains, 483 disc engines, 518 Reverted train, epicyclic, 139, 299, 302 Reynolds, Prof. O., rolling friction, 577 Rich. Mr. W. £., on brakes etc., 631; Riehle, testing machine, 411 Roberts, parallel motion, 422 Roberval Balance, 435 Rolling friction, 577 Rope gearing, 627, 635 Rotating parts (inertia of), 360 SAFETY valves, springs of, 467 Scott Russell, parallel motion, 418 Screw coupling, friction in, 617 Screw, mechanical advantage, 479 INDEX. 651 Screw and nut, 394 Screw, differential, 481 Screws, friction in, 592 Screw mechanism, 483, 547 Screw motion, 16, 477 Screw press, 479 Screw wheels, 554 Sellers, worm gearing, 487, 558 Sensitiveness of governors, 377 Shafts, flexible, 475 Shearing machine, cam trains in, .^51 Skew bevel wheels, 549 pantagraph, 416 Slider crank, 64, 74, 103, 146 problems, 287, 291, 301 with cam, 154 expansion of, 399 reduction of, 403, 408 force closure in, 410 Sliding pairs, 55, 276 friction in, 578, 584 Sliding of wheel teeth, 127 between higher pairs, 129 Slip in link motion, 445 Smith, R. H., Prof, " inefficiency/'sSi friction circles, 591 Spherical engine (See Tower), 518 ^pheric motion, 15, 488, 562. See also Conic mechanisms. Springs as links of mechanisms, 463 Spur-wheel trains simple, 116, 122 compound, 131 epicyclic, 136 in other mechanisms, 143 classification, 451 frictional efficiency, 579 overhung (problem), 313 non-circular, 150 engine, mean resistance diagram, 321. 34.8 acceleration diagram, 349 acceleration pressures, 351, 356 connecting rod, 245, 354 acceleration of connecting rod, 364 flywheel, 216, 244, 357, 389 governor, 370 indicators, 465 friction in, 613 mean efficiency, 619 See also pumping engine, Cornish engine, etc. Steam hammer (problem), 234 Steering gears, 484 Straps, use of as links, 472 friction of, 577, 622 Stress, 261 Structures, 10 Stuffing boxes, friction in, 577 " Sun and Planet" motion, 144 Surface contact, 57, 66 Sylvester, Prof, skew pantagraph, 415 parallel motions, 430 T. TCHEBICHEFF, parallel motion, 426, 436 Teeth of spur wheels, 120 of worm wheels, 487 of bevel wheels, 54.3 of skew bevel wheels, 552 of screw wheels, 555 of wheels, friction in, 576 Temperature, effect on friction, 574 Tensions in belting, 624 Testing machine, Riehle, 411 Wohler, 467 Thrust blocks, 601 Thurston, Prof., experiments on friction S?i Toothed gearing, friction in, 601 Tower, Mr , experiments on friction. See Mechanical Engineers, Tower's spherical engine, 518 Train problems, 182, 234, 328 Translation, motion of, 14, 23 Turning pairs, 55 problems, 272, 315 friction in, 586 Twist, 16, 477 axis, 547 axode, 548 Twisting pair, 57 Twisting moment diagram, 322 U. UNIVERSAL joint, 498 Unwin, Pr f., W. C form of spur-wheel teeth. 121 form of worm-wheel teeth, 487 rope gearing, 627 VALVE gears, 442, 446 Velocity diagrams, 102, in, 193, 330, 337, 366, 517, 532 Velocity ra Velocity ratio of wheel trains, 117, 132, 137, 150 Velocity of crank pin, 359 Virtual axis, 41, 488, 495 Virtual centre, 41 determination of, 69, 117, 132, 142, 157 of non-rigid bodies, 475 Virtual radius, 41, 84 W. WATT, governor, 370 Watt, parallel motion, 424 Wedga, 392 Wedge friction, 585 INDEX. Weight, in relation to mass and force, 218 Westinghouse, Mr., experiments on fric- tion. 571, 576 Wheels spur, 116 stepped, 130 screw, 554 annular, 133 idle. 132 helical, 131, 559 epicyclic, 136 non-circular, 150, 406 Wheel-teeth. See Spur-wheels and Teeth. Wheel and axle, 391 Winding engine, problems, 252 Wire rope gearing, 627 Wohler, testing machine, 467 Worm and worm wheel, 485, 556 Work, 247 problems, 251, 323 in friction. 590, 595, 598, 601 in bending ropes, 635 Working length of wheel t eeth, 127 THE END. 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