How Can I Achieve Equilibrium in Frame Analysis at the Joints?

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SUMMARY

The discussion centers on achieving equilibrium in frame analysis at the joints, specifically addressing a scenario where a brace meets a right post at 2.5 ft from the top. The participant, Donald, seeks clarification on the interpretation of his drawing, which includes upward reaction arrows and potential pin-joints. It is established that equilibrium requires adherence to six equations: three for forces and three for moments. The need for clarity between external and internal analysis is emphasized to facilitate further assistance.

PREREQUISITES
  • Understanding of frame analysis principles
  • Familiarity with equilibrium equations in three dimensions
  • Knowledge of structural connections, including pin-joints and moment-resisting connections
  • Ability to interpret isometric and 3-dimensional sketches
NEXT STEPS
  • Study the application of equilibrium equations in 3D frame analysis
  • Learn about the differences between external and internal analysis in structural engineering
  • Explore the significance of moment-resisting connections in frame stability
  • Review examples of isometric sketches and their interpretations in structural analysis
USEFUL FOR

Structural engineers, civil engineering students, and anyone involved in frame analysis and equilibrium assessments in construction projects.

Donald1
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Hello my name is Donald. I need some help analysing a frame for equilibrium at the joints.
I will attach a drawing of the work I have performed so-far. I am stuck where the brace meets the right post at 2.5 ft. from top. This is my first try at posting, please forgive me for lack of knowledge in posting.
Thank you
 

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I assume the drawing is an isometric or similar 3-dimensional sketch, and that the three upward arrows are reactions? Do the small circles represent pin-joints, or are they welded together to form moment-resisting connections? At the present state of things, you have no equilibrium with 3 lots of 1250 going up and at least 5 lots of 1250 going down. For equilibrium in 3 dimensions there are 6 equilibrium equations, namely three force and three moment equations. Have you considered all of those? Your question speaks of 'analysis'. That could mean (1) external analysis for reactions, or (2) internal analysis for moments, shears and normal forces. You need to clarify in order to get further help.
 

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