Calculating Reactions in Balance: A Student's Question

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SUMMARY

The discussion centers on calculating reaction forces in structural analysis, specifically for an architecture student. The student, identified as Clockworkrobot, seeks clarification on determining the direction of reactions (clockwise or anticlockwise) and verifying their calculated values. The response clarifies that reactions are forces, not torques, and emphasizes the importance of consistent sign conventions in equations. It suggests rewriting the torque equation to maintain all forces as positive upwards and torques as positive anticlockwise for clarity.

PREREQUISITES
  • Understanding of structural analysis concepts
  • Familiarity with torque equations
  • Knowledge of sign conventions in physics
  • Basic principles of equilibrium in mechanics
NEXT STEPS
  • Study the principles of equilibrium in structural mechanics
  • Learn about sign conventions in force and torque calculations
  • Explore detailed examples of calculating reaction forces in beams
  • Review the use of free body diagrams in structural analysis
USEFUL FOR

This discussion is beneficial for architecture students, civil engineering students, and professionals involved in structural analysis and design, particularly those focusing on calculating reaction forces in structures.

clockworkrobot
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Hi all,

I am an architect student in college and I am trying to calculate the reactions in the question in the follwing url ( https://www.flickr.com/photos/123626386@N07/16250310830/ ) I have attempted the question and got two values which can be seen in the following url (https://www.flickr.com/photos/123626386@N07/16251461949/ ) . What I don't understand though is how to calculate whether the reaction is clockwise or anticlockwise thus assigning it a positive or negative value if anyone could tell how to do this and whether my answers are correct it would be greatly appreciated!

Many thanks,
Clockworkrobot
 
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clockworkrobot said:
Hi all,

I am an architect student in college and I am trying to calculate the reactions in the question in the follwing url ( https://www.flickr.com/photos/123626386@N07/16250310830/ ) I have attempted the question and got two values which can be seen in the following url (https://www.flickr.com/photos/123626386@N07/16251461949/ ) . What I don't understand though is how to calculate whether the reaction is clockwise or anticlockwise thus assigning it a positive or negative value if anyone could tell how to do this and whether my answers are correct it would be greatly appreciated!

Many thanks,
Clockworkrobot
The reactions are forces, not torques, so there is no question of clockwise or anticlockwise for those.
To deduce them, you wrote a torque equation. In the way you've written it, you've taken the reactions as positive upwards, but the loads as positive downwards. That required you to reverse the signs.
A purist might have written the equation so that all forces are positive upwards and all torques positive anticlockwise, giving
RL*0 + (-25)*0.4 + (-10)*0.6 + RR*1.2 = 0.
 

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