Use the principal of superposition.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A pipe with a weight of 3.7 kg/m is attached to a wall such that all degrees of freedom
are restraint. At the free end of the pipe a vertical load P=100 N pointing downwards is
introduced with an excentricity of 100mm from the axis. The pipe has an length of 1m
and is made of steel with the Young's modulus of 210 GPa and the Poisson ratio of
0.3125. The moment of inertia is l=19.7 cm“ whereas the polar moment of inertia J = 2
I.
First, as part of the mechanical properties determine the Shear Modulus. Then determine
the total vertical deflection at the point where the vertical load is being introduced.
Note: Use the principal of superposition.
ANSWERS:
Shear Modulus
%3D
[MPa]
Vertical deflection due to weight only
[mm]
Vertical deflection due to End-Load (excentricity NOT considered)
[mm]
Vertical deflection due to excentricity of the End-Load only
[mm]
Total vertical deflection
[mm]
Transcribed Image Text:A pipe with a weight of 3.7 kg/m is attached to a wall such that all degrees of freedom are restraint. At the free end of the pipe a vertical load P=100 N pointing downwards is introduced with an excentricity of 100mm from the axis. The pipe has an length of 1m and is made of steel with the Young's modulus of 210 GPa and the Poisson ratio of 0.3125. The moment of inertia is l=19.7 cm“ whereas the polar moment of inertia J = 2 I. First, as part of the mechanical properties determine the Shear Modulus. Then determine the total vertical deflection at the point where the vertical load is being introduced. Note: Use the principal of superposition. ANSWERS: Shear Modulus %3D [MPa] Vertical deflection due to weight only [mm] Vertical deflection due to End-Load (excentricity NOT considered) [mm] Vertical deflection due to excentricity of the End-Load only [mm] Total vertical deflection [mm]
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