Portal (Approximate) Method of Analysis: Superposition

[JulianEng]

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

 

[SteamKing]

Dimensions appear to be in mm, rather than m.