Reaction forces in a pin jointed frame

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SUMMARY

The discussion focuses on calculating reaction forces in a pin-jointed frame, specifically addressing the determination of angle theta in relation to a 10 kN load. Participants emphasize the importance of applying Bow's notation and ensuring conditions for static equilibrium are met. A suggested approach involves assigning a length to the distance between anchor points X and Y, which simplifies the calculations without affecting the angle. The conversation highlights the necessity of breaking down the geometry of the frame to solve for unknowns effectively.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Familiarity with Bow's notation in structural analysis
  • Basic trigonometry for angle calculations
  • Knowledge of reaction forces in pin-jointed frames
NEXT STEPS
  • Study Bow's notation for structural analysis applications
  • Learn how to apply static equilibrium equations in frame analysis
  • Explore trigonometric methods for calculating angles in structures
  • Investigate common techniques for simplifying complex frame problems
USEFUL FOR

Engineering students, structural analysts, and anyone involved in the design or analysis of pin-jointed frames will benefit from this discussion.

mrtoodles
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This is the question: http://i.imgur.com/Ex2Yx4l.png
I have calculated all the angles in the frame, and have drawn line of forces so that the reaction force at x, reaction force at y, and the 10KN meet up. From then I am stuck, and don't know how to find the angle theta. http://i.imgur.com/gob3Cos.png
 
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Hello Toodles, welcome to PF :smile: !

And this is the template:

Homework Statement



Homework Equations



The Attempt at a Solution


(You must have deleted it by accident :smile: -- something that PF rules don't allow !)

What about this Bow's notation hint ? I only see a few red lines, but I don't believe I see any conditions for static equilibrium worked out ?
 
mrtoodles said:
dont know how to find the angle theta.
Sometimes it's easier if you plug in a length. What you plug it doesn't matter since it won't affect the angle.
Say the distance between the anchor points, X and Y, is 1.
What is the length of the vertical line up from Y to (let's call it) A?
How long is the line that rises at 30 degrees from A to where it meets the 10kN line at (say) B?
How far is it from A to the vertical line through the load?
How far is it from X to the vertical line through the load?
How high is the topmost point (C) from the baseline?
Etc.
 

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