4) The railroad I-beam has dimensions as shown below. In reviewing these old designs, you have been asked to evaluate the area moment of inertia of the l-beam in several orientations. a) Calculate area moment of inertia – Ix and ly - for the l-beam shown. Note that the x-axis and y-axis pass through the centroid of the I-beam. b) What is the product of inertia Ixy? c) Calculate area moment of inertia of the inclined axis (lu) in the direction parallel to the force. d) Calculate area moment of inertia of the inclined axis (Iv– not drawn) in the direction perpendicular to the force (but passing through the centroid).

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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4) The railroad l-beam has dimensions as shown below. In reviewing these old designs, you have
been asked to evaluate the area moment of inertia of the l-beam in several orientations.
a) Calculate area moment of inertia – Ix and ly - for the l-beam shown. Note that
the x-axis and y-axis pass through the centroid of the l-beam.
b) What is the product of inertia Ixy?
c) Calculate area moment of inertia of the inclined axis (lu) in the direction
parallel to the force.
d) Calculate area moment of inertia of the inclined axis (Iv – not drawn) in the
direction perpendicular to the force (but passing through the centroid).
4 inch
1 inch
63.4
1 inch
-4 inch
Transcribed Image Text:4) The railroad l-beam has dimensions as shown below. In reviewing these old designs, you have been asked to evaluate the area moment of inertia of the l-beam in several orientations. a) Calculate area moment of inertia – Ix and ly - for the l-beam shown. Note that the x-axis and y-axis pass through the centroid of the l-beam. b) What is the product of inertia Ixy? c) Calculate area moment of inertia of the inclined axis (lu) in the direction parallel to the force. d) Calculate area moment of inertia of the inclined axis (Iv – not drawn) in the direction perpendicular to the force (but passing through the centroid). 4 inch 1 inch 63.4 1 inch -4 inch
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