How Do I Find Direction of Forces in Statics?

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SUMMARY

This discussion focuses on determining the direction of forces S1, S2, and S3 in statics problems. The key takeaway is that the direction of forces can be assumed arbitrarily, but consistency is crucial when applying the equations of statics. Participants emphasize the importance of defining a positive direction for forces and torques, which allows for accurate calculations of force magnitudes and directions. Understanding these principles is essential for solving statics problems effectively.

PREREQUISITES
  • Basic understanding of statics and equilibrium principles
  • Familiarity with force diagrams and free-body diagrams
  • Knowledge of equations of statics, including force and torque summation
  • Ability to interpret and analyze mechanical systems
NEXT STEPS
  • Study the principles of equilibrium in statics, focusing on the conditions for static equilibrium
  • Learn how to construct and analyze free-body diagrams for complex systems
  • Explore the concept of tension and compression in structural elements
  • Practice solving statics problems using the equations of statics, particularly focusing on defining positive directions
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This discussion is beneficial for engineering students, particularly those studying mechanics and statics, as well as professionals involved in structural analysis and design.

Ivan Antunovic
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I really don't understand what is the logic in the direction of forces S1,S2 and S3.This is an example and here are given directions of the forces,but in the exam I will have to find them on my own.
Could someone explain to me how should I find them and what kind of thinking I have to apply here,maybe action equals minus reaction ?
I really have a bad professor from Mechanics and she just doesn't care to explain very much.

Thank you in advance I hope pictures are clear.
 

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The last picture...don't know why it wasnt uploaded in the first post
 
Ivan Antunovic said:
The last picture...don't know why it wasnt uploaded in the first post
 

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Ivan Antunovic said:
I really don't understand what is the logic in the direction of forces S1,S2 and S3.This is an example and here are given directions of the forces,but in the exam I will have to find them on my own.
Could someone explain to me how should I find them and what kind of thinking I have to apply here,maybe action equals minus reaction ?
I really have a bad professor from Mechanics and she just doesn't care to explain very much.

Thank you in advance I hope pictures are clear.
I think the direction of the forces as shown on the diagram is arbitrary. You can assume that the direction indicates, for example, a compressive force in each rod.

After you work out the forces in each rod which keep this system in statics equilibrium, there may indeed be forces which are in tension, that is, which will tend to pull a rod out of the wall.

It's hard to figure out what is the true case here just by inspection. The rods appear to be symmetrical with respect to the y-axis.

As always, use the equations of statics to find the unknown force magnitudes in each of the three rods.
 
In general if a problem statement doesn't define which direction is +ve then you have to do so. You can make an arbitrary choice but you must be consistent. eg you have to take that into account when you are writing your equations (eg when summing components of forces or torques). The answer force(s) or torque(s) will turn out to be +ve or -ve then you refer to your definition of +ve to work out which direction it points and calculate any angles appropriately.
 
CWatters said:
In general if a problem statement doesn't define which direction is +ve then you have to do so. You can make an arbitrary choice but you must be consistent. eg you have to take that into account when you are writing your equations (eg when summing components of forces or torques). The answer force(s) or torque(s) will turn out to be +ve or -ve then you refer to your definition of +ve to work out which direction it points and calculate any angles appropriately.

So I could basically take directions as I've taken on this picture and it should be fine?
 

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Sorry for the 2nd picture being reverse uploaded tried to upload it again normally but failed.
 

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