Rigid body equilibrium question

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SUMMARY

The discussion centers on a rigid body equilibrium problem involving forces and supports. The calculations provided indicate that By, the reaction force at the roller support, is calculated to be 0.5 kN, while Ay, the reaction force at the pin support, is determined to be 1.5 kN. The original solution suggesting By should be 1 kN is contested based on the vertical component of the 2 kN force and its distance from point A. The participants confirm the calculations leading to By being 0.5 kN as correct.

PREREQUISITES
  • Understanding of rigid body equilibrium principles
  • Knowledge of static equilibrium equations (ΣF=0, ΣM=0)
  • Familiarity with support types (pin and roller supports)
  • Basic skills in force analysis and vector components
NEXT STEPS
  • Study the principles of static equilibrium in rigid bodies
  • Learn about calculating reaction forces at supports in structures
  • Explore the application of moment equations in equilibrium problems
  • Investigate common mistakes in rigid body analysis and how to avoid them
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Students and professionals in engineering, particularly those focusing on structural analysis and mechanics, will benefit from this discussion.

dbag123
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Homework Statement
Calculate the reactions Ax, Ay and By
Relevant Equations
Ma=0
Mb=0
243704

Problem in the picture.

I have a question regarding the problem in the picture.
Ma=0 -2Kn*1a+By*4a=0 --> By=0,5kN
Mb=0 2kN*3a-Ay*4a=0 --> Ay = 1,5kN
Ax=0kN
Ay is the pin support and By is the roller support.
According to the solution By should be 1kN but isn't that the wrong answer?
2kN has only a vertical component and the distance to point a in the first equation is 1a, after all the distance is perpendicular to line of action of the force, so how would the answer be 1kN for By? Thanks
 
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dbag123 said:
isn't that the wrong answer?
I agree with your answer.
 

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