Force method vs superposition method

In summary, both methods for solving statically indeterminate structures are viable, but it is recommended to use the one that simplifies the math. To determine where to cut the sections, it is important to have experience and practice with similar problems. This will help in recognizing patterns and making an informed decision on where to cut the sections.
  • #1
member 392791
Hello,

I was wondering, is there a preference for when to use either of these methods for solving statically indeterminate structures, or are both equally viable in all situations?

Also, when using these how does one know where to ''cut'' the sections up to find the internal forces?

Thank you
 
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  • #2
The preferred method is whichever makes the math simple enough to actually do... ideally you want to try the method which loos like it will give the simplest math. For arbitrarily complicated structures, it won't be easy to tell which on that is.

You know how to cut the sections by referring to your copious experience doing similar problems and trusting your gut. This is why students are given lots of exercises starting from quite easy geometries and building up. Eventually you'll recognize when a structure looks a bit like one that you already know how to solve and use that to guide you.
 

Related to Force method vs superposition method

What is the difference between the force method and superposition method?

The force method and superposition method are two different approaches used to analyze complex structural systems. The main difference between the two is that the force method considers the internal forces within a structure, while the superposition method takes into account the external loads acting on the structure.

Which method is more accurate?

Both methods have their own strengths and limitations, and their accuracy depends on the complexity of the structure being analyzed. In general, the force method is more accurate for statically determinate structures, while the superposition method is more accurate for statically indeterminate structures.

What are the main advantages of using the force method?

The force method is advantageous because it takes into account the actual internal forces and deformations within a structure, rather than relying on assumptions about the behavior of the structure. This makes it a more precise method for analyzing statically determinate structures.

When is the superposition method typically used?

The superposition method is typically used for analyzing statically indeterminate structures, where the internal forces and deformations cannot be determined directly. It is also commonly used for analyzing structures with multiple load cases or complex loading conditions.

Which method is easier to use?

The ease of use for both methods depends on the complexity of the structure being analyzed and the familiarity of the user with each method. Generally, the force method is easier to use for simple structures, while the superposition method may require more calculations for more complex structures.

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