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¨  The required separation distance from the object to be pro-  Stability is achieved when the ratio between the load torque
         tected must be maintained even under wind load (preven-  and the tilting moment is > 1. The following rule applies: The
         tion of intolerable bending)               greater the ratio between the load torque and the tilting mo-
                                                    ment, the greater is the stability.
       Determination of the tilt resistance         The required stability can be achieved as follows:
       The wind forces acting on the areas of the air-termination   ¨  In order to keep the area of the air-termination rod that is
       rod that are exposed to wind generate a line load q‘ on the   exposed to wind small, the cross-sections used have to be
       surface which generates a corresponding tilting moment M T    as small as possible. The load on the air-termination rod is
       on the self-supporting air-termination rod. To ensure stability   reduced, but, at the same time, the mechanical stability of
       of the self-supporting air-termination rod, a load torque M L    the air-termination rod decreases (risk of breakage). It is
       generated by the post must counteract the tilting moment M T  .   therefore vital to make a compromise between the smallest
       The magnitude of the load torque M L  depends on the stand-  possible cross-section to reduce the wind load and the larg-
       ing weight and the radius of the post. If the tilting moment is   est possible cross-section to achieve the required stability.
       greater than the load torque, the air-termination rod falls over
       due to the wind load.                        ¨  The stability can be increased by using larger standing
       The stability of self-supporting air-termination rods is proven in   weights and / or larger post radii. This often conflicts with
       static calculations. In addition to the mechanical characteristics   the limited installation space and the general requirement
                                                       for a low weight and easy transport.
       of the materials used, the following is included in the calculation:
       ¨  Area of the air-termination rod exposed to wind  Implementation
          Determined by the length and diameter of the individual   In order to provide the smallest possible area exposed to wind,
         sections of the air-termination rod.       the cross-sections of the air-termination rods were optimised
       ¨  Area of the braces exposed to wind        according to the results of the calculation. To facilitate trans-
          Extremely high self-supporting air-termination rods are sta-  port and installation, the air-termination  rod  consists of an
         bilised with three braces which are mounted equidistantly   aluminium tube (separable, if required) and an aluminium air-
         around the circumference. The area of these braces that is   termination rod. The post for the air-termination rod is hinged
         exposed to wind is equal to the area of these braces pro-  and is available in two sizes. Thus, roof pitches up to 10 ° can
         jected onto a plane at a right angle to the direction of the   be compensated.
         wind, in other words the brace lengths are shortened ac-
         cordingly in the calculation.              Determination of the break resistance
       ¨  Weight of the air-termination rod and braces  Not only the stability, but also the break resistance of the air-
          The own weight of the air-termination rod and the braces   termination rod must be verified since the wind load exerts
         are taken into account when calculating the load torque.  bending stress on the self-supporting air-termination rod. The
       ¨  Weight of the post                        bending stress must not exceed the maximum permissible
          The post is a tripod loaded with concrete blocks. The weight   stress and increases if longer air-termination rods are used.
                                                    The air-termination rods must be designed to ensure that wind
         of this post consists of the own weight of the tripod and the   loads which can arise in wind zone 2 cannot cause permanent
         individual weights of the concrete blocks.  deformation of the rods.
       ¨  Tilt lever of the post                    Since both the exact geometry of the air-termination rod and
          The tilt lever describes the shortest distance between the   the non-linear performance of the materials used must be
         centre of the tripod and the line or point around which the   taken into account, the break resistance of self-supporting
         whole system would tilt.                   air-termination rods is verified by means of an FEM calcula-
                                                    tion model. The finite elements method (FEM) is a numerical
       Stability is proven by comparing the following moments:  calculation method for calculating stress and deformation of
       ¨  Tilting moment                            complex geometrical structures. The structure under examina-
          Formed by the wind-load-dependent force on the air-termi-  tion is divided into so-called “finite elements” using imaginary
         nation rod, braces and the lever arm of the air-termination   surfaces  and  lines  and  these “finite  element”  are  intercon-
         rod.                                       nected via nodes.
       ¨  Load torque                               The following information is required for calculation:
          Formed by the weight of the post, the weight of the air-  ¨  FEM calculation model
         termination rod and braces, and the length of the tilt lever      The FEM calculation model corresponds in a simplified form
         related to the tripod.                        to the geometry of the self-supporting air-termination rod.



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