Solving Statics Deformation Problems: Rod Equations & Attempt at Solution

In summary, the conversation discusses the equations for deformation and the attempt at solving a problem using these equations. The person encountered difficulty due to incorrect use of forces and lack of examples in class and textbook. The questions asked are about the reaction force at point A, and the tensions in rods AB and BC.
  • #1
Mark Nussbaum

Homework Statement


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Homework Equations


deformation=(force*length)/(elastic moduli*area)

The Attempt at a Solution


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and
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since most of the variable are constants it seemed like a simple plug in problem, however it seems that my use of the forces is incorrect. unfortunately we had no examples for this chapter in class and what is in the textbook has not helped me so far. the above is both equations for deformation of each rod summed together top rod first then bottom.
 

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  • #2
From an overall force balance, what is the reaction force at A? What is the tension in AB? What is the tension in BC?
 

What is statics deformation?

Statics deformation is the study of the behavior of structures and materials under external forces, with the goal of determining how they will deform or move. This is an important concept in engineering and physics, as it helps us understand how objects will respond to different types of loads and stresses.

What are the rod equations used for in solving statics deformation problems?

The rod equations, also known as the equilibrium equations, are used to analyze the forces and moments acting on a rigid body in a state of equilibrium. In the context of statics deformation, they are used to determine the internal forces and deformations of a rod or beam subjected to external loads.

Can the rod equations be applied to any type of structure?

Yes, the rod equations can be applied to any type of structure, as long as it is in a state of equilibrium. This includes simple structures like trusses and beams, as well as more complex structures like frames and arches.

What is the difference between statics deformation and dynamics deformation?

Statics deformation deals with structures and materials that are in a state of equilibrium, meaning that the forces acting on them are balanced. Dynamics deformation, on the other hand, involves structures and materials that are in motion or experiencing acceleration. The analysis methods and equations used for solving these types of problems are different.

What are some common approaches to solving statics deformation problems?

There are several common approaches to solving statics deformation problems, including the method of joints, method of sections, and the use of free body diagrams. These methods involve breaking down a complex structure into smaller, more manageable parts and analyzing the forces and moments acting on each part in order to determine the overall behavior of the structure.

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