The figure below shows two solid homogenous rectangular beam sections with (breadth x depth) dimensions in two different orientations as follows: Beam Section Orientation A (t mm x 2t mm); and Beam Section Orientation B (2t mm x t mm). Both beams sag when subjected to the same loading and support conditions resulting in compressive stresses above the centroid line (neutral axis). Which statement accurately describes the relative maximum compressive stress (σcompression) between these beam section orientations?
The figure below shows two solid homogenous rectangular beam sections with (breadth x depth) dimensions in two different orientations as follows:
Beam Section Orientation A (t mm x 2t mm); and
Beam Section Orientation B (2t mm x t mm).
Both beams sag when subjected to the same loading and support conditions resulting in compressive stresses above the centroid line (neutral axis).
Which statement accurately describes the relative maximum compressive stress (σcompression) between these beam section orientations?
a. Maximum compressive stress (σcompression) in orientation B is greater than orientation A by a factor of 2.
b. Maximum compressive stress (σcompression) in orientation A is greater than orientation B by a factor of 4.
c. Maximum compressive stress (σcompression) in orientation B is greater than orientation A by a factor of 4.
d. Maximum compressive stress (σcompression) in orientation A is greater than orientation B by a factor of 2.
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