Introduction to statically indeterminate problems and the principle of superposition

This mechanics of materials tutorial introduces the method of superposition and explains how it can be used to solve statically indeterminate problems.

If you found this video helpful, please consider supporting my work on Patreon:

Looking for more mechanics of material tutorials? Check out all of the videos that I made:

Looking for software? I highly recommend checking out SkyCiv. They make a full suite of online structural analysis software and tools that are useful for both students and professionals, including calculators for beams, trusses, frames, moment of inertia and more. It’s great for checking your work:

Lastly, don’t forget to subscribe on YouTube and join the Engineer4Free mail list:

Thanks for watching, I hope it helps!

[utkuyucel]

You can't imagine how helpful this video was to me. I've never thought of solving the problems this way.
Thanks a lot!

[ThekidsOPfan]

I've taken 2 classes teaching this concept and this video actually made me finally understand it

[capcomonthecob]

Incredible video, you did in 7.5 mins what took my lecturer 2 hours

[lidyaangelin]

I never understood what is principle of superposition.. Thank-you sir... Keep making more problems...

[GringoRequintos]

Geez... this was beautifully explained! Definitely the best I could find. Earned a sub with this one.

[MrJaaaboo]

Shouldnt the sum of forces be Ra + 150kn - Rb? seeing that Rb is in the opposite direction of Ra and the force?

[IBSteed]

Thanks for this tutorial! This helped me understand what I did not catch in class. Wish I'd found your video's and website earlier - I now swear by them.

[Raniaska]

Sir thank you so much for the tutorial~!

[valentinkiss]

Great video!
Question: @6:35 Rb*600mm-> why 600? shouldn't it be 200mm? I thought the pressure acts on 200mm and the pulling acts on 400mm... THX!

[alejandrogallardo]

Why does the right section equal 0? I am confused on why when finding the deformation the whole 0.4 + 0.2 isnt used? Anything will help! Thank you!

[klemensoeargo]

Thank you for the video, it helps clarify a lot of things.. Curiously though, why should we use 600mm rather then 600+1.5mm? It seems more logical to consider the entire length of the material after/under deformation rather than the rest length.. Is there any explanation for this?

[rastonick]

Where do you create or simulate these problems?

[abdullahcivil]

teacher i have a question
What is the importance of the statically indeterminate?

[cesarreategui]

We don't even need the values of the modulus of Elasticity and the cross sectionalrea of the beam. We can have 2 equations for this problem by first using the displacement equation of B with respect A equal zero. Second equation would be just the body diagram of the whole beam. Don't need extra calculations

[superpeibol]

Is the area the same in the first formula and then in the last one?
It should be different, I think

[adamnickey]

sum of Fx= 0 should be Ra-150+Rb=0 sir?