How to Draw Shear Force and Moment Diagrams | Mechanics Statics | (Step by step solved examples)

Learn to draw shear force and moment diagrams using 2 methods, step by step. We go through breaking a beam into segments, and then we learn about the relationships between shear force and moment diagrams to draw our graphs. You can learn how to draw a moment diagram just by looking at a shear force diagram, and vice versa. Using 4 examples, you will gain a good understanding of how to do this by finding shear forces, moments, reactions at the ends, and much more.
🔹 Learn About Internal Loadings: • Internal Loadings in S...
🔹 Distributed Loads and How to solve them: • Reduction of a Simple ...
🔹 Everything to know about moments: • Moment of a Force | Me...
🔹 Solving for support reactions: • Equilibrium of Rigid B...
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Intro (00:00)
Draw the shear and moment diagrams for the beam (01:14)
Draw the shear and moment diagrams (05:47)
Draw the shear and moment diagrams for the beam (10:00)
Draw the shear and moment diagrams for the beam (12:51)
Find more at www.questionsolutions.com
Book used: R. C. Hibbeler and K. B. Yap, Engineering Mechanics Statics.
Hoboken: Pearson, 2017.

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[@QuestionSolutions]

I think this depends on the curriculum. Some courses cover friction as a first year course, others cover it more in dynamics, and some in second year courses. I didn't cover it because I was going to make more videos in the future, just not yet for statics.

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[@QuestionSolutions]

You're very welcome. I do have plans on creating videos about strengths of materials, but probably not for some time. Best wishes with your studies!

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[@QuestionSolutions]

I am just gonna let you know that if you made it into an engineering course at a university, you're definitely not stupid. Statics will get easier, I promise, as long as you get the fundamentals right. Do as many practice problems as possible, try to solve the problems I solve in these videos without seeing the solution first, and if you get stuck, go through how I solve it. Don't beat yourself up, keep up the hard work and it'll get easier for you. I believe in you! You got this, and I wish you the absolute best with your studies :)

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[@noalily6922]

Thank you very much for the videos! Can I ask, for the first method used, how do you know when you need to solve shear and moment forces forth both pieces cut? I have seen examples in my notes where only the shear force and moment for one half of the cut member is solved, and used for the whole Shear force and moment diagrams.

[@noalily6922]

for both pieces *

[@QuestionSolutions]

If it's just 2 pieces, or easy to figure out in your mind, you only need to solve for one half, since you can figure out what comes next, they all have to come back to their return points on the graph. If you do enough questions, you can see what comes next without going through the steps. If you're new to this though, I think its better to solve for all the pieces :)

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Hi there! I appreciate the videos a lot they are truly a life saver and blessing. I do request that you make a similar video to this on method of integration. Although not hard, I personally don’t understand how to get the constants in the integrals, if this could be explained for others, it would be greatly appreciated. Thanks

[@QuestionSolutions]

Thank you for the feedback! I will add that topic to my list of things to do in the future. I can't say when I can get around to it, but I will do my best :)

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[@biruktariku2483]

I really like your content and you've been helping me out a lot. So thank you very much. But I like to point out one stuff. My problem is with example 3 . The result of the support reaction was a bit off for me cause the structure has a moment at the equilibrium and experience more force on the side of A. But the reaction at A is much lower than B ( 450 to 950). So I calculated the support reactions by taking moment at B zero and got different answers which should not be the case. I don't really know what the problem is but something ain't right. ( or I may be super dumb, sorry if that's the case😅)

[@QuestionSolutions]

Really glad to hear these videos are helping. As per your question, I am assuming something is wrong with how you formulated the moment equation for B. It's hard for me to say where you went wrong without seeing your steps. Also, it's very common for structures to carry forces with varying differences in force values, so you can't assume it's wrong simply because they are very different.

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The diagrams were drawn on illustrator.

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[@geckokun2805]

Good day! How do you find the vertex of the parabola of the shear moment diagram using the 2nd method mentioned in the video? Thank you!

[@QuestionSolutions]

You can find the x-coordinate using b/2a. The maximum bending moment occurs at the location where the shear force is 0. See 9:40.

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[@QuestionSolutions]

After effects for animations 👍

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[@mechanicalengineer9792]

Need videos on Friction & Moments of Inertia (Engineering Mechanics: Statics).

[@QuestionSolutions]

Hmm, I probably won't cover friction since it's been done on so many videos and there isn't much that you would need for dynamics or statics other than multiplying the normal force by the coefficient of friction, which I showed many times. For mass moment of inertia, when I get time, I will do a video because I got so many requests.

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Awesome! Keep up the great work and best wishes with your studies.

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Could you do an Engineering resume review and tips/advice for applying to internships? I know its something much different, but it is really helpful

[@QuestionSolutions]

That's the first request of this type :) Unfortunately, that's not really something I teach, you should have counselors and career center administrators that teach those sorts of things. Even if I were to make a video on it, I probably wouldn't do that great of a job 😅 Sorry!

[@rehanrashid9296]

Question Solutions no worries! Thank you for the solid mechanics’ videos though! I have shared with Mechanical Engineering students. Have you considered Fluid Mechanics, Thermodynamics, Heat Transfer, etc courses?

[@QuestionSolutions]

@@rehanrashid9296 I have gotten a lot of requests for thermodynamics, which could be what I cover next. These days have been busy, but I hope to start that series soon as well. If you don't mind me asking, what books do you use for those subjects? I am asking this question from a lot of people to get a rough idea of what is being used 👍

[@rehanrashid9296]

Question Solutions For Thermodynamics 1,2 we use: Thermodynamics: An Engineering Approach (9th Edition) Yunus A. Cengel and Michael A Boles For Fluid Mechanics/Fluid Dynamics: Fluid Mechanics by Frank M. White, 8th Edition, McGraw Hill For Heat & Mass Transfer: Heat and Mass Transfer, Fundamentals and Applications by Yunus Cengel and Afshin Ghajar, 5th edition, McGraw Hill these are the books for those courses used at YorkU, and no worries, take your time :)

[@QuestionSolutions]

@@rehanrashid9296 Wow, thanks for taking the time to write this reply. Really appreciate it! I will look through all of them. :)

[@justsomeoneonline437]

amazing content. I do have a concern, though. When you say clockwise moments are positive, this directly contradicts what my prof told me. He said to think of which way the beam bends due to the moment. If the beam makes a happy face then the moment is positive. So given a standard beam, if the moment is on the left side, a clock-wise moment is positive. If the moment is on the right side, a counter clock wise moment is postive. Can you explain your moment sign convention plz

[@QuestionSolutions]

Moments aren't positive or negative, they are either "clockwise", or "counter-clockwise" in 2D space, and in 3D space, you would use the right hand rule to determine the direction of the vector. Even in 2D space, the moment vector is still determined using the right hand rule. If it's a counterclockwise moment, then the moment vector would be straight of the screen towards you, and vice versa. This is why people usually pick counterclockwise to be positive. I don't like counterclockwise being positive, it's just a personal preference. It makes no difference to the answer. In fact, I encourage you to try it both ways, you will still get the same answer. This is what is important: -If you pick counterclockwise to be positive, and your answer is positive, then your moment is counterclockwise. -If you pick counterclockwise to be positive and your answer is negative, then your moment is clockwise. -If you pick clockwise to be positive and your answer is positive, then your moment is clockwise. -If you pick clockwise to be positive and your answer is negative, then your moment is counterclockwise. You can pick whatever side you want to be positive, like when you pick up to be positive, or down to be positive. It's just an assumption. As a convention, people generally consider positive moments as counterclockwise since they are directed along the positive z axis (out of the screen/page). It's completely up to you.

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You're welcome!

[@BrunswickTchatchou]

Thanks sir for thé explanation . pleace which software do you for drawing and animations 🙏

[@QuestionSolutions]

Animations are done using after effects and drawings are done using illustrator. 👍

[@playboiyaseen]

THANK YOU SOO MUCH

[@QuestionSolutions]

You're very welcome!

[@paugust]

So, if I'm needing to find a generalized equation to demonstrate forces at any point along a beam, or cable, or some other rigid body, the moment and force diagrams are how you get there?

[@QuestionSolutions]

Hmm, I guess you can sort of say that, but simply put, shear force and moment diagrams are there to help us understand the effects happening on an object at any given point.

[@consaidercordo3770]

Thanks a bunch! It is helpful! However, I don't know how to use the second method if a distributed load gas a triangular shape... It is still ambiguous.

[@QuestionSolutions]

Yes, I agree, I will probably cover a example like that in the future, but the general idea is the same, your textbook/ course material should have an example with a triangular distributed load.

[@nq7893]

my statics course uses counterclockwise moment as positive, my equations result in the same magnitude just opposite signs. when drawing my shear force and moment diagrams would i draw it the opposite way?

[@QuestionSolutions]

What does your professor want?

[@user-pd6qi1fo4b]

Thank you for this video, but I have a question: What program do you use for drawing and explaining?

[@QuestionSolutions]

I use illustrator to draw these diagrams.

[@iamfictionalEngr]

thank you!

[@QuestionSolutions]

You're welcome!

[@athilaweerasinghe166]

Thank u so much

[@QuestionSolutions]

You're welcome!

[@funwatchtv763]

how did you start with -28.6 for the last example when drawing the moment diagram

[@QuestionSolutions]

-14.3 x 2 = -28.6 (I show this at 15:04, with a red box on the shear force diagram)

[@andrewwehbe4561]

Amazing

[@QuestionSolutions]

Thank you very much!

[@kenzadebbarh6098]

u saved my life

[@QuestionSolutions]

😅 Well, I'm really glad to hear that!

[@tturi2]

Is the 40x(x/2), thats just the distributed load but you put it as a point load in the centroid of that load? is that how you get the integral of the shear load? sorry my brain is tired

[@QuestionSolutions]

That is correct, please see: kzbin.info/www/bejne/onqYnJ-dmpd6oq8

[@tturi2]

@@QuestionSolutions thank you, I've subscribed

[@QuestionSolutions]

You're very welcome :)@@tturi2

[@tattierlivee7326]

Huge W before my Final!!

[@QuestionSolutions]

Best wishes with your finals!!

[@mjg23556]

Is the shear force diagram continuous or there is jump discontinuity at the point loads ( like we have placed the cut either immediate left or immediate right of the point load but not exactly at the point load) so does that mean the sf diagram is discontinuous at the point load

[@QuestionSolutions]

Shear force diagrams are drawn continuously. They show a big jump whenever an external force is applied but it's still continuous. You can google "shear force diagrams" to get a better example too.

[@mjg23556]

Thank you for the reply 🙏 I have one last doubt Timestamp 4.45 at the point where 30 KN load is applied in the shear force diagram there is a vertical jump Doubt - what is the value of shear force exactly at the point where 30 KN load is applied because on the immediate left of 30 KN point load I am having a shear force of 20 KN positive. But on the immediate right of 30 KN point load i am having a shear force -10 KN. But what is the value of shear force exactly at the point where 30 KN point load is applied Thank you and great work 👍

[@arthurbosch9041]

Is it possible you could make a video using x as a length in your problems and having to solve in relation to x to find the shear force and moment diagrams?

[@QuestionSolutions]

I am not entirely sure of your question. Is there an example you can give me so I can take a look to see what type of problem you're talking about? Many thanks!

[@arthurbosch9041]

@@QuestionSolutions I mean I'm not sure if you use this book or not but for example 7-9 in the engineering mechanics statics by hibbeler in SI units

[@QuestionSolutions]

@@arthurbosch9041 I don't know which question that is, but is it something like the length represented as a variable instead of a fixed length? If so, the process is the same, you'd just have your graphs as a function of x.

[@inkpaintings8316]

Thank youu broo

[@QuestionSolutions]

You're very welcome!

[@nialll9013]

@15:13 what if i use CCW positive would that still work??

[@QuestionSolutions]

Please see: www.physicsforums.com/attachments/ys8brde-png.189019/ So what we're doing is looking to see how a beam bends. You can use an opposite sign convention if you'd like, but you have to do it for everything, not just a moment applied at a point.

[@user-yp2bz7xk7q]

for the second free body diagram that has a roller supporter why was the shear force pointing opposite to the initial applied force , why are they not in a similar direction.

[@QuestionSolutions]

So it doesn't matter which way the force is applied. Wherever the cut is made, an assumption is made which says the shear force points downwards in the right side, and upwards in the left side. Please see: kzbin.info/www/bejne/goHHZamNbctsd8U

[@Mera974]

How does sign convention work for moments? I thought at 12:05 that the moment be negative if it was clockwise.

[@QuestionSolutions]

Please see: kzbin.infoP029mqnp4XY

[@jayhodder8156]

you are my hero

[@QuestionSolutions]

Thank you :)