Long description: beam

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A diagram illustrating a beam subjected to a distributed load, showing the deflection curve as a function of position.

Alt text: A diagram illustrating a beam subjected to a distributed load, showing the deflection curve as a function of position.

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  • The image displays a horizontal beam resting on supports at both ends, spanning a total length denoted by \(L\) in units of distance.
  • A uniformly distributed downward load, labeled \(q\), is shown acting perpendicular to the beam along its entire length.
  • A dashed line represents the undeflected position of the beam, and a curved dashed line below it illustrates the beam's deflection shape, labeled \(y(x)\).
  • The beam's deflection, \(y(x)\), is shown as a function of the position \(x\), which extends from the left support to the right support.
  • The diagram visually represents the physical parameters used in the differential equation modeling the bending of a beam under a load.

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