Long description: beam

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A diagram illustrates a beam subjected to a distributed load, showing the beam's deflection curve.

Alt text: A diagram illustrates a beam subjected to a distributed load, showing the beam's deflection curve.

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  • The diagram depicts a beam resting on supports spanning a distance labeled \(L\) along the horizontal axis, which represents the position \(x\).
  • The beam is subjected to a uniformly distributed load labeled \(q\), indicated by multiple downward-pointing arrows acting perpendicular to the beam's surface.
  • A dashed line represents the original, undeformed position of the beam, and the beam itself shows a downward curvature due to the applied load.
  • The vertical position or deflection of the beam is described by the function \(y(x)\), represented by a dashed line drawn through the center of the beam's curvature.

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