Engineering Statics Equilibrium

In summary, the equilibrium in the x in the beam at A must be vertical because there is no horizontal component to the reaction force at A.
  • #1
logaliciouz
12
0
hi, for question two on the attached pdf, how would the equilibrium in the x work? From what i understand there must be an x and y component for the pin support at A because it acts at an angle but the support at B only has a y component because it is a rocker.
 

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  • #2
logaliciouz said:
hi, for question two on the attached pdf, how would the equilibrium in the x work? From what i understand there must be an x and y component for the pin support at A because it acts at an angle but the support at B only has a y component because it is a rocker.
If there was an x (horizontal) component at the pin support A, then the beam could not be in equilibrium, which you appear to have concluded. So what does that imply about your statement that "there must be an x and y component for the pin support at A"? Is that true?
 
  • #3
But if the support at A is acting on an angle, doesn't there mathematically have to be an x and y component to that force?
 
  • #4
From equilibrium considerations, the reaction at A must be vertical. You can resolve that resultant reaction force into its vector components perpendicular and parallel to the incline if you want, but the resultant must be vertical.
 
  • #5
Okay so basically rewriting it and just showing A as an upward force and ignoring the x-component altogether.
 
  • #6
Well yes, A is upward, but it is not correct to say that you are ''ignoring'' the x-component, because no such x component exists. What you are ignoring is the slope when you solve for your shears and moments in the beam.
 
  • #7
okay so the horizontal and vertical are not related to each other through the angle of the pin
 
  • #8
logaliciouz said:
okay so the horizontal and vertical are not related to each other through the angle of the pin
Since there is no horizontal, there is no such relation. Whether the slope is 3:4 or 1:1 or vertical, or horixontal, or anything, the reaction is still upward of the same magnitude. The slope comes into play when you are considering the design of the support itself, not the beam.
 

1. What is "Engineering Statics Equilibrium"?

"Engineering Statics Equilibrium" is a branch of engineering mechanics that deals with the analysis of forces and moments acting on a stationary object. It is used to determine the conditions for an object to be in a state of equilibrium, meaning that all forces and moments acting on the object cancel out and the object does not have any linear or rotational acceleration.

2. What are the main principles of Engineering Statics Equilibrium?

The main principles of Engineering Statics Equilibrium are the three equations of equilibrium: the sum of all forces in the x-direction is equal to zero, the sum of all forces in the y-direction is equal to zero, and the sum of all moments about any point is equal to zero. These principles are based on Newton's laws of motion and are used to solve problems involving stationary objects.

3. How is Engineering Statics Equilibrium used in real-world applications?

Engineering Statics Equilibrium is used in various real-world applications in different fields such as civil engineering, mechanical engineering, and aerospace engineering. It is used to design and analyze structures, machines, and systems to ensure they are in a state of equilibrium and can withstand the forces and moments acting on them.

4. What are some common challenges when applying Engineering Statics Equilibrium?

Some common challenges when applying Engineering Statics Equilibrium include identifying all the forces and moments acting on an object, determining the correct direction and magnitude of these forces and moments, and ensuring that all the equations of equilibrium are satisfied. It can also be challenging to apply the principles of Engineering Statics Equilibrium to complex systems with multiple objects and forces.

5. How does Engineering Statics Equilibrium relate to other branches of engineering mechanics?

Engineering Statics Equilibrium is closely related to other branches of engineering mechanics such as dynamics and strength of materials. It provides the foundation for understanding the behavior of static objects and is often used as a starting point for more complex analyses involving dynamic or moving objects. It also relies on concepts from strength of materials, such as stress and strain, to determine the stability and strength of structures and systems.

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