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Identify whether the following statements regarding bending stress and strain in a beam are true or false.

S1: The neutral surface of the beam experiences zero bending strain.

S2: The value of bending stress is zero at the neutral surface of the beam.

  • A.Both S1 and S2 are false.
  • B.S1 is true and S2 is false.
  • C.Both S1 and S2 are true.
  • D.S2 is true and S1 is false.

Answer: C

Both statements are true. In pure bending the fibres on one side of the beam are stretched and those on the other side are shortened, so there is a surface between them, the neutral surface, where the length does not change: the bending strain is zero. Since stress is proportional to strain in the elastic range (\(\sigma = E\varepsilon\)), the bending stress there is also zero, as the flexure formula \(\sigma = My/I\) shows when y = 0. The options that call either statement false are wrong.

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