How to Draw Shear Force and Moment Diagrams | Mechanics Statics | (Step by step solved examples)
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- Опубликовано: 29 июл 2024
- 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.
![Concept of Shear Force and Bending Moment Diagram - Strength of Materials [Solved Problems]](/img/1.gif)
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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.
for both pieces *
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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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!
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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How does sign convention work for moments? I thought at 12:05 that the moment be negative if it was clockwise.
Please see: ruclips.net/user/shortsP029mqnp4XY
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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?
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.
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@15:13 what if i use CCW positive would that still work??
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.
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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😅)
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.
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?
What does your professor want?
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Great job. I need to know which programs were used to plot the diagrams. Thanks
The diagrams were drawn on illustrator.
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
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.
Amazing
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