Understanding Shear Force and Bending Moment Diagrams
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- Äas pĆidĂĄn 27. 06. 2024
- This video is an introduction to shear force and bending moment diagrams.
What are Shear Forces and Bending Moments?
Shear forces and bending moments are resultants which are used to conveniently represent the internal forces that develop within a beam when external loads are acting on it.
The internal forces that exist within the beam will depend on how the beam is loaded, and how it is supported. Beams are typically loaded by concentrated forces, distributed forces, and concentrated moments. Typical beam supports include pinned supports, roller supports, and fully fixed supports.
How Do We Draw the Shear Force and Bending Moment Diagrams?
Determining shear forces and bending moments along the length of a beam typically involves three steps:
- First we draw the free body diagram of our beam.
- Next we use the equilibrium equations to calculate the reaction forces and moments.
- Finally, we cut our beam at a single location and use the equilibrium equations to determine the shear force and bending moment at that location. We repeat this process for each location along the beam, and draw the result on our shear force and bending moment diagrams.
đ» Read the article version of this video here: efficientengineer.com/shear-f...
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đ» You can read the article version of this video here - efficientengineer.com/shear-force-and-bending-moment-diagrams/
đ I''ve created one-page PDF summary sheets for this video and several others - more information about the summary sheets here: efficientengineer.com/summary/.
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@ 6:50 shouldnât Ra be -ve?
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Thank you for saving my time when understanding these concepts.
@@viveki6872 yes it is negative ..thats why the answer is positive (i.e +12)
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was thinking the EXACT same thing!
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@@pathikshah3607 Yeah - there's a problem with rushing through the very most fundamental aspect of structures: I've worked with a number of engineers from the Indian subcontinent. Decent enough engineers, for sure, but tend to have a weak appreciation of load paths, equilibrium, internal forces, stiffness matrices etc.
I think you guys need to spend more time on the basics - not just 1/6 of a course - and understand them properly and let them bed in. In structural engineering, everything flows from those aspects........
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After you have graduated you might find yourself 200 foot above the ground, or the sea if you on an oil rig, on an unstable structure, with heavy rain and swirling winds, having to do hand calculations for this sort of thing whilst hanging on to scaffolding for dear life. DO NOT get to rely on software doing it for you, if you do you will never leave the office.
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it is great to have such videos. when you don't practise it on a daily basis, simple things as the shear and bending diagrams become tricky. i really enjoy remembering that the shear force is nothing more than the first derivative of the bending moment. and i totally have messed up in my mind the order of the positive direction convention. so...thanks, a lot!
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The aesthetically cogent animation in this video aids in visualizing the loading and stress distributions much more clearly, allowing us to spatially understand it better and feel whats happening. Please continue to upload more of such awesome videos. PS: Euler_Bernoulli Beam theory and Prandtl's function
This channel is amazing, it has helped me a lot in understanding fluid dynamics and statics/strength of materials during this semester. Greetings from an Italian mechanical engineering student.
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2 years of mechanical structures calculations at the university (mechanical engineering) already 15 years ago for now, I drew a lot of shear and moment diagrams to validate beams and I didn't truly understand that drawing the shear force and bending moment diagrams is just figuring out WHAT THESE INTERNAL FORCES are at each location along the beam until now, thank you for this great video and 3D animation ÂĄÂĄ
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This is the best video on shear forces and bending moments on the internet!
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This video the was the most helpful for understanding shear and bending which I had ever watched!
This is several hours of classroom coaching. I completed my engineering in 1988 and i am recapitulating. But i think for a beginner this could be too fast.
Thanks a lot.
As a beginner myself, it's a lot very quickly. But practice makes perfect.
sorry to bother, but can i get help with the BMD where 12*2 gave 24 i understood, but the next line drawn was to 18 which i didn't understand because should we not do 6*4 as the next step instead? any help will be much appreciated
@@mizgintusgul8089 its drawn to just before the 6kN (not very clearly in the animation), so the calculation becomes (12x4)-(15x2) wich is 18.
@@bas0704 oh, thank you so much, sorry does it matter which one has the minus sign, like will it also be right to do (-12Ă4) +(15Ă2)?
Clockwise moments are negative so the 15 is negative but the 12 is also clockwise so which will i choose as negative moment please?
@@mizgintusgul8089 if you set that as your reference point, and everything els in the calculation is also set to the same reference point it shouldn't be a problem
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Hours of struggling clarified in a 16 min video. Thank you!
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Great video although I think you accidentally made a mistake. When you were calculating sum of the moments from point B you wrote Ra force as positive when its actually negative since its on the left side of the point B (cros section) and is tilted upwards (therefore it sags the beam)
Also at one point you did not follow the rule you set. You said that if shear force is on the left of cros section then tilt down is positive. But when you started to calculate those shear forces (which are all on the left side of the crossection) you switched. You calculated reaction forces which are tilted up as positive and applied forces as negative.
Yeah I was also abt to comment at it..
Another learner here, regarding your first topic, technically, positive or negative signs indicate direction and since he has those listed in the diagram shown during that subject he isnât necessarily wrong.
I havenât figured out what time you are referring to on your second question.
U guys don't know what this guy had explained..we are drawing nothing but internal shear force and internal bending moment diagram...and no one says that..the diagram sawn is exactly opposite what's happening due to the external load applied to maintain the equilibrium..hence..its a internal bending moment diagram..
Thank you so much for the explanation and the animation. Please keep making the videos. APPRECIATE IT!
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from 10:25 and beyond i was honestly amazed by how all those variables were connected to each other. it made me feel again the joy of learning that I have been missing from school for a long time now. Turns out, learning can be fun lol
all engineering courses wherever in the world must have your videos by default
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I have never been good to Strength of Materials. Could never depict how bending moment was acting. The verry much elaborative animation did really help me. Thank you verry much. Keep on making such good educational videos.đââš
my prof literally tying to explain this video over 3 months, I j understood so much better in 15 mins. Really great examples and explanations, and making it seem as simple as it actually is
Nothing, books or professor, has ever explained it as well as you. Thank you.
Turns out it's math I need to work on
firstly Thank you for this wonderful work
I don't understand the positive signs for all the values of the Momeent in point B, in this case you will find the value of Ra equal -12 and not 12 in 6: 47mn, maybe the equation is (-Ra * 6 + 15 * 4 + 6 * 2 = 0) OR (Ra * 6 - 15 * 4 - 6 * 2 = 0)
If Ra is vector, it doesn't matter.
Or RA is unknown variable so it doesn't matter. RA will come negative, so the direction can be inverted.
@@abhinavchauhan6863 thanks Abhinav
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You are correct. It is clearly a mistake.
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