Solving a Pin Joint System with Vertical Load

Click For Summary
SUMMARY

The discussion focuses on solving a pin joint system subjected to a vertical load at point B, referencing Egor P. Popov's "Engineering Mechanics of Solids." Participants clarify that reactions at points A and C must be resolved into horizontal and vertical components, with moments about points A and C set to zero to determine their values. The absence of y components in the moment equations is due to the vertical nature of the applied load, which does not create a moment about point C from the y components of reactions at A and C.

PREREQUISITES
  • Understanding of basic mechanics principles, specifically pin joint systems
  • Familiarity with moment calculations in static equilibrium
  • Knowledge of reaction forces and their components in structural analysis
  • Experience with Egor P. Popov's "Engineering Mechanics of Solids" as a reference
NEXT STEPS
  • Study the principles of static equilibrium in mechanics
  • Learn about calculating moments in pin joint systems
  • Explore examples of vertical load applications on structures
  • Review reaction force analysis in two-dimensional systems
USEFUL FOR

This discussion is beneficial for students of mechanics, particularly those studying structural analysis and static equilibrium, as well as educators seeking to clarify foundational concepts in engineering mechanics.

sriram123
Messages
27
Reaction score
0
Hi all,I just started to learn mechanics so please forgive me if i ask something elementary.I have an example from Egor P Popov's Engineering mechanics of solids.(Please refer attachment and sorry about quality of drawing).

This is a problem of a pin joint system subjected to vertical load that acts at point B.Since the pin joint system cannot allow x or y movement there should be reactions at A and C which are resolved into their horizontal and vertical components.For determining their value the moment about the point C and A are taken to zero ,This is where I got stuck,

I cite the step in the book

ƩMc=0 => FAx*(a+b)-P*c
ƩMa=0 => P*c +FCx*(a+b)

What happened to the y components of the reactions at A and C.Why FCy and FAy are not taken,Is that because the force applied is vertical ?.I am self studying so I cannot clarify this with someone.I know this is elemantary but pls help me..
 

Attachments

  • FORUM.jpg
    FORUM.jpg
    23.4 KB · Views: 510
Engineering news on Phys.org
Take the equation you've got there for the moment about (c). How would a vertical force at (a) apply a moment about (c)? To find a moment you take a force and multiply it by a distance, what is that distance in the case of Fay about point (c)?
 
What I'm about ask is very basic.But I don't understand one thing.In the image the thread starter has shown,the points A and C are connected through B so if the load applied at B tries to push it down will the point C remain stationary because of the reaction offered by X component of A ?.If the points A and C are not collinear,will the Y component also offer resistance ? .Please explain me how with an example ?

And again please remember I'm learning the basics and I just wanted to learn this properly.Sorry if I'm asking something very basic

And thanks in advance.
 
Those circles at the A,B, and C locations generally denote "pinned" or "fixed" points. In problems like this, this means that any forces on the system will create reactionary forces, but the location of the pins will not move.
 
Moment is a force times the perpendicular distance from the force to the point of rotation. There's no perpendicular distance for those two reactant forces, therefore no moment is created by them.
 

Similar threads

Replies
1
Views
3K
Replies
1
Views
2K
  • · Replies 6 ·
Replies
6
Views
35K
  • · Replies 264 ·
9
Replies
264
Views
32K