Portal (Approximate) Method of Analysis: Superposition

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SUMMARY

The discussion focuses on applying the Portal Frame Method to analyze shear force, axial load, and bending moment diagrams for a given portal frame geometry under factored loading conditions. The user utilized a uniformly distributed load of 50 kN/m, combining dead load (DL) and live load (LL) for their calculations. The principle of superposition was employed to address both gravity and lateral load effects, although the user expressed uncertainty regarding the correct approach, particularly with the integration of uniformly distributed loads. Clarifications were sought on the methodology and steps necessary for accurate analysis.

PREREQUISITES
  • Understanding of the Portal Frame Method for structural analysis
  • Familiarity with the principles of superposition in structural engineering
  • Knowledge of statics and load combinations in structural design
  • Experience with ASTM A992 steel properties and applications
NEXT STEPS
  • Review the Portal Frame Method for analyzing structures under various loading conditions
  • Study the principles of superposition in the context of structural load analysis
  • Learn about the effects of uniformly distributed loads on portal frames
  • Explore the application of ASTM A992 steel in structural design and analysis
USEFUL FOR

Civil engineers, structural analysts, and students studying portal frame analysis and load effects in structural engineering will benefit from this discussion.

JulianEng
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Homework Statement


For the portal frame geometry and factored loading shown in the figure below, calculate the shear
force, axial load and bending moment diagrams using the Portal Frame Method. You may use the
principle of superposition for gravity and lateral load effects.

Note:
• all dimensions in meters
• use ASTM A992 steel, grade 345MPa;

Homework Equations


If you understand the portal method you know that there are no equations specifically designed to answer this question. The equations come from simple statics

The Attempt at a Solution


Attached is the problem. My solution was to combine the DL and LL, which gave me a total of w = 50 kN/m and I solved the problem using that assumption. I have never completed a Portal Method question with a uniformly distributed load on top of the frame, nor one that required me to do a gravity analysis and/or use the superposition method. Please let me know if I have gone about this question the right way and if NOT, what are the steps involved in order to successfully answer this question.

Thank you
 

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Dimensions appear to be in mm, rather than m.
 

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