For a uniform elastic beam of length Land rectangular cross-section of dimensions bhsubjected to pure bending M. leading to a radius of curvature R, prove, using pertinent physical arguments, that: (1) There is one fiber along the beam that is subjected to zero longitudinal strain (2) The distribution of longitudinal strains across a cross section of the beam is linear (3) The maximum longitudinal strain is located either at the top or at the bottom of the cross section. (Don't employ ready-to-use formulae)

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