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Identifying Failure Points in Boomilever Designs

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Figures (9)

A schematic image of three types of cantilever. The top example has a full moment connection (like a horizontal flagpole bolted to the side of a building). The middle example is created by an extension of a simple supported beam (such as the way a diving board is anchored and extends over the edge of a swimming pool). The bottom example is created by adding a Robin boundary condition to the beam element, which essentially adds an elastic spring to the end board. The top and bottom example may be considered structurally equivalent, depending on the effective stiffness of the spring and beam element.
de Havilland DH.88 Comet G-ACSS, winner of the Great Air Race of 1934, showing off its cantilever wing
Scanning electron microscope image of an atomic force microscopy microcantilever
MEMS cantilever in resonance[11]
Figure 12.9 In a torque balance, a horizontal beam is supported at a fulcrum (indicated by S) and masses are attached to both sides of the fulcrum. The system is in static equilibrium when the beam does not rotate. It is balanced when the beam remains level.
Figure 12.10 Free-body diagram for the meter stick. The pivot is chosen at the support point S.
Figure 12.11 The forearm is rotated around the elbow (E) by a contraction of the biceps muscle, which causes tension T→M.T→M.
Figure 12.12 Free-body diagram for the forearm: The pivot is located at point E (elbow).
Figure 12.13 Free-body diagram for the forearm for the equivalent solution. The pivot is located at point E (elbow).

Key Points

  • Let us assume for the moment that the Clausius statement is incorrect, and that the device the Clausius statement claims is impossible (a "Clausius device") is actually possible.
  • The surface tension or interfacial tension, , is the force exerted by an interfacial surface per unit length.
  • The compression is done reversibly (very slowly), but non-adiabatically: the air receives heat through the walls throughout the process.
  • A cantilever in a traditionally timber framed building is called a jetty or forebay.
  • The efficiency of the Carnot engine cycle (7/6) is only reached if the turbine and compressor operate isentropically.
  • The mass of the cyclist together with his/her equipment is 70 kg (154.3 lb).

Terms

Tap a term for a plain-language explanation.

Sources & licensing(4)