Balancing Support Reactions: Exploring Equilibrium in Structural Analysis

In summary, the purpose of finding support reactions is to determine the forces that act on a structure at its support points for the purpose of designing and analyzing structures. This can be done by applying the equations of static equilibrium and breaking down the structure into its individual components. To find support reactions, one needs to know external loads, the geometry of the structure, and other relevant information. Simplifications and assumptions are made in the process, such as assuming the structure is in static equilibrium and neglecting its own weight. Common methods for finding support reactions include the method of joints, method of sections, and free body diagrams.
  • #1
chetzread
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Homework Statement


I'm having problem of finding the support reactions of Va , Vb and Vc

Homework Equations

The Attempt at a Solution


My working is VA +VB +VC = 10+5(3)

VA +VB +VC = 25
But , when i sub in the value of VA , VB and VC , it doesn't satisfy the equation of VA +VB +VC = 10+5(3) , why I'm wrong ? [/B]
 

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  • #2
Please explain your reasoning.
 
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  • #3
Simon Bridge said:
Please explain your reasoning.
VA, vb and vc act upwards, while 10+5(3) act downward, upwards forces = downward forces
 

FAQ: Balancing Support Reactions: Exploring Equilibrium in Structural Analysis

What is the purpose of finding support reactions?

The purpose of finding support reactions is to determine the forces that act on a structure at its support points. This is important for designing and analyzing structures to ensure their stability and safety.

How do you calculate support reactions?

Support reactions can be calculated by applying the equations of static equilibrium, which state that the sum of all forces and moments acting on a structure must equal zero. This involves breaking down the structure into its individual components and solving for the unknown forces at the support points.

What information is needed to find support reactions?

To find support reactions, you will need to know the external loads acting on the structure, the geometry of the structure, and any other relevant information such as material properties. It is also helpful to have a diagram or model of the structure to visualize the forces and support points.

Are there any simplifications or assumptions made when calculating support reactions?

Yes, there are some simplifications and assumptions made when calculating support reactions. These include assuming that the structure is in static equilibrium, neglecting the weight of the structure itself, and assuming that the support points are frictionless and can only provide a normal force.

What are some common methods for finding support reactions?

Some common methods for finding support reactions include the method of joints, the method of sections, and the use of free body diagrams. These methods involve breaking down the structure into smaller, more manageable sections and applying equations of static equilibrium to solve for the unknown forces at the support points.

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