Page 150 - Tribology in Machine Design
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136   Tribology in machine design


                                where T l and T 2 are the effective tensions on the tight and slack sides of the
                                belt or rope respectively.

     4.11.  Frictional aspects  The brake-horsepower of an engine is the rate of expenditure of energy in
     of brake design            overcoming external resistance or load carried by the engine. The difference
                                between the brake-horsepower and the indicated horsepower represents
                                the rate at which energy is absorbed in overcoming mechanical friction of
                                the moving parts of the engine
                                        friction horsepower = indicated horsepower —brake-horsepower

                                and



                                The operation of braking a machine is a means of controlling the brake-
                                horsepower and so adjusting the output to correspond with variations of
                                indicated horsepower and the external load. A brake may be used either to
                                bring a machine to a state of rest, or to maintain it in a state of uniform
                                motion while still under the action of driving forces and couples.
                                  In engineering practice, the latter alternative is useful as a means of
                                measuring the power that can be transmitted by a machine at a given speed.
                                A brake that is used in this way is termed a dynamometer and is adapted for
                                the purpose simply by the addition of equipment which will measure the
                                friction force or couple retarding the motion of the machine. Dynamo-
                                meters fall into two classes:
                                 (i) absorption dynamometers, or those which absorb completely the
                                    power output of the machine at a given speed;
                                (ii) transmission dynamometers, which, but for small friction losses in the
                                    measuring device itself, transmit power from one machine to another.
                                Generally speaking, the power developed by an engine may be absorbed by
                                either mechanical, electrical or hydraulic means. In friction brake dynamo-
                                meters all the power of the engine is absorbed by mechanical friction
                                producing heat.


                                4.11.1. The band brake
                                Figure 4.40 shows a mechanical type of friction brake used in a crane. The
                                brake drum D is keyed to the same shaft as the crane barrel E. The flexible
                                band which surrounds the drum, and consists of either a leather or narrow
                                strip of sheet steel with suitable friction material lining is connected to
                                points A and B on the lever pivoted at F. A load P applied to the lever at the
                                point C causes the band to tighten on the drum and friction between the
                                band and drum surface produces the necessary braking torque. Assuming
                                that the drum tends to rotate anticlockwise, let 7\ and T 2 be the effective
                                belt tensions and a the radius of the circle tangential to the lines of action of
                                T] and T 2. Then

     Figure 4.40
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