The bending stress is linearly distributed through a beam's cross section?Question 1Select one:TrueFalse

Answer to Question 1

The statement "The bending stress is linearly distributed through a beam's cross section" is True.

Explanation:

When a beam is subjected to bending, the distribution of stress across its cross-section varies linearly from the top to the bottom of the beam.

1. At the Extreme Fibers: The bending stress is maximum at the extreme fibers of the beam (top and bottom surfaces) where the beam experiences the greatest distance from the neutral axis.
2. At the Neutral Axis: The bending stress is zero at the neutral axis, which is the line about which the beam bends.
3. Linear Variation: This results in a linear gradient of stress across the depth of the beam, characterized by a linear equation relating the stress to the distance from the neutral axis.

Therefore, the linear distribution of bending stress is an essential concept in structural engineering and analysis of beams.