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Plane Frame

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Plane Frame

Created using ANSYS 13.0

Problem Specification

This tutorial is meant to be a successor to the Cantilever Beam Tutorial . If you have not yet completed the Cantilever Beam Tutorial, please do so before attempting the Plane Frame Tutorial.is not a step-by-step ANSYS tutorial. Rather, it states the problem to be solved and provides some tips and guidance on solving it using ANSYS Mechanical. Go through the truss and beam tutorials before attempting this problem. 

Consider the plane frame structure in the image below. All the frame elements are made out of the rare and exotic material, Cornellium which has a Young's Modulus of 2.08x10^10 Pa and a Poisson's Ratio of 0.4 . The cross section of each truss member is 0.346m x 0.346m.
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Find the deformed structure, the bending stress and the combined stress. Also, find the reaction forces and the moment reactions at the two fixed supports.
Go to Step 1: Pre-Analysis & Start-Upfigure below. All bars have cross-section properties EI = 2.5e7 N-m2 and EA = 2.5e9 N.

Find:

  • The deformed shape of the frame
  • The location in the frame that undergoes the maximum total deflection
  • The maximum shear force and axial force in each span
  • The bending moment at each span endpoint

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Solution Tips

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<iframe width="600" height="360" src="https://www.youtube.com/embed/FP9_KIBVELA" frameborder="0" allowfullscreen></iframe>

Mathematical Model

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<iframe width="600" height="360" src="https://www.youtube.com/embed/dGuoDyLa4Ik" frameborder="0" allowfullscreen></iframe>

Numerical Solution Strategy

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<iframe width="600" height="360" src="https://www.youtube.com/embed/fmCc_uv9e7k" frameborder="0" allowfullscreen></iframe>

 

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