Determining the support reactions of a frame

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SUMMARY

The discussion focuses on determining the support reactions at points A and B of a frame structure. The user initially set up equations based on moment and force equilibrium but encountered a challenge with four unknowns and only three equations. A suggestion was made to analyze the other part of the frame involving support B, which would yield a total of six equations to solve for the six unknowns. The importance of maintaining consistent sign conventions when solving for reactions Cx and Cy was emphasized.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Familiarity with moment equations in structural analysis
  • Knowledge of force equilibrium equations
  • Ability to interpret and analyze frame structures
NEXT STEPS
  • Study the method of sections in structural analysis
  • Learn about the application of free body diagrams for complex frames
  • Explore the use of software tools like SAP2000 for structural analysis
  • Review sign convention rules in mechanics for clarity in calculations
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Structural engineers, civil engineering students, and anyone involved in analyzing frame structures and support reactions will benefit from this discussion.

hobbyenthusia
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Here is a link to the problem:
http://img62.imageshack.us/img62/374/frameow.jpg"
I am trying to find the support reactions at A and B.
I separated the frame at the hinge(call it C) into two parts and took the moment equation about point A.
This gave me: \SigmaMa = -60(25) - 62.5(12.5) + Cx(25) + Cy(25)
The forces in the y:\Sigma Fy = -62.5 + Cy + Ay
The forces in the x: \Sigma Fx =60 + Ax - Cx

From here I am unsure what to do as I have four unknowns and only three equations.
 
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:smile:Hello hobbyenthusia(st), welcome to these forums!:smile:

Try looking at the other part of the frame that includes the support at B. That should give you a total of 6 equations with a total of 6 unknowns.
 
I completely missed that. Thank you.
After taking the moments for each side is it as simple as solving Cx in terms of Cy or vice versa and finishing it up?
 
Yes, solve for Cx and Cy and the rest will follow. Please watch plus and minus signs! If Cx is assumed or found to act to the left on the left section, it must act to the right on the right section.
 

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