Math, asked by pinkybarbie3232, 1 year ago

Derive the relation between slope deflection and radius of curvature

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Answered by prmkulk1978
12
A small portion PQ of the beam, bent into an arc is considered .

 Let ds be the elemental length PQ of the beam

  R be the radius of the arc

  C be the centre of the arc (into which the beam has been bent)

 ψ be the angle which the tangent at P makes with x − x axis and

(ψ + dψ) be the angle which the tangent at Q makes with x − x axis

  From the geometry of Figure 8.3,

∠PCQ = dψ and
 
ds = R. dψ
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