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CH AP TER 1 .1       Piston-engine cycles of operation

                                                                    The two methods of calculating power can be
                                                                  expressed as follows:

                                                                          pLANn
                                                                    i:p: ¼
                                                                          60 000
                                                                  where   i.p. ¼ indicated power (kW)
                                                                                                     2
                                                                            p ¼ effective pressure (kN/m )
                                                                            L ¼ length of stroke (m)
                                                                                                           2
                                                                            A ¼ cross-sectional area of piston (m )
                                                                           N ¼ crankshaft speed (rev/min)
                                                                  and       n ¼ number of cylinders
                                                                           2 p TN
                                                                    b:p: ¼
                                                                           60 000
                                                                  where   b.p. ¼ brake power (kW)
                                                                            p ¼ 3.142
                                                                            T ¼ engine torque (N m)
                                                                  and       N ¼ crankshaft speed (rev/min)
                                                                    The imperial power is quoted in horsepower (hp) and is
                                                                  defined in terms of foot pounds per minute. In imperial
               Fig. 1.1-10 Torque variation during crankshaft rotation ( p ¼  units one horsepower is equivalent to 33 000 ft lb per
               cylinder gas pressure; F ¼ connecting-rod thrust; R ¼ crank-  minute or 550 ft lb per second. A metric horsepower is
               throw; r ¼ effective crank radius; T ¼ turning-effort or torque).
                                                                  defined in terms of Newton-metres per second and is
                                                                  equal to 0.986 imperial horsepower. In Germany the ab-
                                                                  breviation for horsepower is PS derived from the trans-
                                                                  lation of the words ’Pferd-Sta ¨rke’ meaning horse strength.
                                                                    The international unit for power is the watt, W, or
                                                                  more usually the kilowatt, kW, where 1 kW ¼ 1000 W.
                                                                    Conversion from watt to horsepower and vice versa is:

                                                                    1kW ¼ 1.35 hp and 1 hp ¼ 0.746 kW


                                                                  1.1.6.5 Engine cylinder capacity

                                                                  Engine sizes are compared on the basis of total cylinder
                                                                  swept volume, which is known as engine cylinder
                                                                  capacity. Thus the engine cylinder capacity is equal to the
                                                                  piston displacement of each cylinder times the number
                                                                  of cylinders,
                                                                              Vn
                                                                    i:e: V E ¼
                                                                             1000
                                                                  where V E ¼ engine cylinder capacity (litre)
                                                                                                   3
                                                                         V ¼ piston displacement (cm )
               Fig. 1.1-11 Torque and power variation over engine speed range.  and  n ¼ number of cylinders

                                                                    Piston displacement is derived from the combination
               will exist. Quoted performance figures should therefore  of both the cross-sectional area of the piston and its
               always state the standard used. The three most important  stroke. The relative importance of each of these di-
               standards are those of the American Society of Automo-  mensions can be demonstrated by considering how they
               tive Engineers (SAE), the German Deutsch Industrie  affect performance individually.
               Normale (DIN), and the Italian Commissione technica di  The cross-sectional area of the piston crown influences
               Unificazione nell Automobile (CUNA).                the force acting on the connecting-rod, since the product


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