Part A shown construct an equilibrium equation that relates the axial load in the steel and aluminum posts to distributed loads applied to beam let FA and FS equal the magnitude of force in the aluminum and steel post respectively. determine fa and fs compressive is negative sign convention

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Chapter5: Beams
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Problem 5.6.4P
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Part A shown 

construct an equilibrium equation that relates the axial load in the steel and aluminum posts to distributed loads applied to beam let FA and FS equal the magnitude of force in the aluminum and steel post respectively.

determine fa and fs compressive is negative sign convention

constraints.
7
40 mm
250 mm
Steel
60 mm-
Aluminum
Part A - Define the compatibility condition
→>>
200 kN/m
Steel
300 mm 300 mm →
-I-Beam
40 mm
E
An infinitely rigid, weightless beam is supported by three circular posts, as shown. The outer posts are made of A-36 steel, and the central post is made of 2014-T6 aluminum. Prior to loading, all posts have a length of 250 mm. The system is
subjected to a distributed load of 200 kN/m. Assume that the posts are rigidly connected to the beam and that the posts are subjected to the uniform, distributed load applied to the beam.
Enter a compatibility condition that relates the displacement of the tops of the steel and aluminum posts due to the unknown axial forces in the posts. Let da be the displacement of the top of the aluminum post due to the axial
force and be the displacement of the top of the steel posts due to the axial force.
Transcribed Image Text:constraints. 7 40 mm 250 mm Steel 60 mm- Aluminum Part A - Define the compatibility condition →>> 200 kN/m Steel 300 mm 300 mm → -I-Beam 40 mm E An infinitely rigid, weightless beam is supported by three circular posts, as shown. The outer posts are made of A-36 steel, and the central post is made of 2014-T6 aluminum. Prior to loading, all posts have a length of 250 mm. The system is subjected to a distributed load of 200 kN/m. Assume that the posts are rigidly connected to the beam and that the posts are subjected to the uniform, distributed load applied to the beam. Enter a compatibility condition that relates the displacement of the tops of the steel and aluminum posts due to the unknown axial forces in the posts. Let da be the displacement of the top of the aluminum post due to the axial force and be the displacement of the top of the steel posts due to the axial force.
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