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238  Airworthiness and airframe loads

              of time. Such an instrument was developed by J. Taylor in  1950 and was designed so
              that the response fell off rapidly above  10 Hz. Crossings of g thresholds from 0.2g to
              1.8g at 0.lg intervals were recorded  (note that steady level flight is 1g flight) during
              experimental  flying at the  RAE on three  different  aircraft  over  28 000 km,  and  the
              best  techniques  for extracting information  from the data established.  Civil  airlines
              cooperated  by  carrying  the instruments  on their  regular  air services for a  number
              of  years.  Eight  different  types  of  aircraft  were  equipped  so  that  by  1961 records
              had been obtained for regions including Europe, the Atlantic, Africa, India and the
              Far East, representing  19  000 hours and 8 million km of flying.
                Atmospheric  turbulence  and  the  cabin  pressurization  cycle  are only  two  of  the
              many fluctuating  loads which cause fatigue damage  in  aircraft.  On the ground the
              wing is supported  on the undercarriage and experiences  tensile  stresses in its upper
              surfaces and compressive  stresses  in  its  lower  surfaces.  In  flight  these  stresses  are
              reversed  as aerodynamic  lift  supports the  wing.  Also,  the  impact  of  landing  and
              ground  manoeuvring  on imperfect  surfaces cause  stress fluctuations  while,  during
              landing and take-off, flaps are lowered and raised, producing  additional load cycles
              in  the flap support structure.  Engine  pylons  are subjected  to fatigue  loading  from
              thrust variations in take-off and landing and also to inertia loads produced by lateral
              gusts on the complete aircraft.
                A more detailed investigation of fatigue and its associated problems is presented in
              Section 8.7 after the consideration of basic manoeuvre and gust loads.





              The maximum  loads on the components  of  an aircraft’s  structure generally  occur
              when  the aircraft is undergoing  some form of acceleration  or deceleration,  such as
              in  landings,  take-offs  and  manoeuvres  within  the  flight  and  gust envelopes.  Thus,
              before  a structural component can be designed,  the inertia loads corresponding  to
              these  accelerations  and  decelerations  must  be  calculated.  For  these  purposes  we
              shall  suppose that  an aircraft  is a rigid  body  and  represent  it  by  a  rigid  mass,  111,
              as shown in  Fig.  8.3.  We  shall also,  at this  stage, consider motion in  the plane  of
              the mass  which  would  correspond  to pitching  of the aircraft  without  roll  or yaw.
             We shall also suppose that the centre of  gravity (CG) of the mass has coordinates
             2, 3  referred  to x  and y  axes  having  an  arbitrary  origin  0; the  mass  is  rotating
              about  an  axis  through  0 perpendicular  to  the  +XJ’  plane  with  a  constant  angular
             velocity w.
               The acceleration of any point, a distance r from 0, is w2r and is directed towards 0.
              Thus, the inertia force acting on the element, bm, is w’rSm  in a direction opposite to
              the acceleration, as shown in Fig. 8.3. The components of this inertia force, parallel to
              the x and y axes, are w2rSm cos 6 and w2rSn? sin 6 respectively, or, in terms of .Y and J’,
             w2xSm and w2ySm. The resultant inertia forces, F, and F,., are then given by
                                           S’
                                      F, =  w  xdm =
                                           s?
                                                      ’J’
                                      F,. =  w ydm = wL ydm
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