Understanding Shear Force and Bending Moment Diagrams

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.
💻 Read the article version of this video here: efficientengineer.com/shear-f...
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The Efficient Engineer is a channel aimed at mechanical and civil engineers. The mission is to simplify engineering concepts, one video at a time!
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[@TheEfficientEngineer]

💻 You can read the article version of this video here - efficientengineer.com/shear-force-and-bending-moment-diagrams/ 📑 I''ve created one-page PDF summary sheets for this video and several others - more information about the summary sheets here: efficientengineer.com/summary/. ❤Support the channel by becoming a Patreon here - patreon.com/efficientengineer

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[@user-pn5ej4fe2h]

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.

[@abhijithcs7625]

Yeah I was also abt to comment at it..

[@braydenallen6119]

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 isn’t necessarily wrong. I haven’t figured out what time you are referring to on your second question.

[@schoolofengineering2434]

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..

[@ahmedkace3828]

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)

[@abhinavchauhan6863]

If Ra is vector, it doesn't matter.

[@abhinavchauhan6863]

Or RA is unknown variable so it doesn't matter. RA will come negative, so the direction can be inverted.

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