This question requires the analysis of data
presented on the link provided. For this demonstration, an unequal angle
is clamped at one end and is subjected
to a state of bending. Data on the section
properties is provided on the link provided. Analysis of the images of
the end of the beam is to be performed
for comparison with the theoretical results.

In beam bending, the neutral axis defines the
orientation of the plane along which direct (normal) strains (and hence,
stresses) are zero. The magnitude of
the direct strain increases in direct proportion
to the distance from the neutral axis and hence the beam deflects in a
direction perpendicular to the
orientation of the neutral axis.

Required analysis tasks:

(a) Produce a sketch specifying the angle of the
moment vector relative to the PCAs for the given orientation of the
section and the loading.

(b) Using the specified second moments of area
and the PCA orientations, determine the expected angle of the neutral
axis relative to the horizontal plane
and show the neutral axis on a correctly
oriented sketch of the section.

(c) For the highest load, determine the
magnitude and location of the expected maximum compressive and tensile
stresses within the section.

(d) Analyse the photographs and tabulate values
of the vertical and horizontal deflection of the end of the beam for
each of the 4 loading cases. Include a
description of the approach you adopted for the
analysis of the images

(e) Based on your results in part (d), identify
an experimentally-derived orientation for the neutral axis and compare
this result with that obtained in
part (b). Discuss possible sources for the
differences between the two results.

Attachments:

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