Simplification of Forces and Moments | Mechanics Statics | Solved examples

Learn to find a resultant force and a single couple moment that is equivalent to all the other forces and moments. We go through a few examples step by step and talk about different methods to get to an answer.

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Intro (00:00)
Replace the loading system acting on the beam by an equivalent resultant force and couple moment at point O. (01:51)
Replace the force system by an equivalent resultant force (03:38)
Replace the loading on the frame by a single resultant force. (04:58)

Book used: R. C. Hibbeler and K. B. Yap, Engineering Mechanics Statics.
Hoboken: Pearson, 2017.

[sharonhudson]

One ten-minute video explains what my professor couldn't in 90 minutes. Thank you so much man

[nachiket]

Can't stop thanking you, but thank you anyway. Very to the point and well explained

[TokolloMalatji-ylxr]

Kudos to your great work. I managed to understand 4weeks of lecturer content in less than 2hours.

[shubhankar]

Thanks for all the efforts you are taking to make the videos. Great work . Keep it up ❤️

[balubhaskar]

excellent channel for Btech students thank you sir

[jaylut]

Hey there, in the first example, at 2:54, for the M1x, how does the x component force create a counterclockwise movement, and at 3:09, how does the y component create a clockwise movement?

[wanpanman]

oh man that was pretty good thank you Godbless you so much bro

[Hussain-ez]

During 2:50, should the Fx component be ignored since it's parallel to the line of action of the rotation about point O? It's parallel so how will the body move?

[zwehtetnainai]

In the last example, isn't the resultant moment supposed to be negative since it is turning clockwise? if it's negative, x is -2.16 which is way below.

[Carusot]

Do you have a step by step solving guide for type of exercises? Would be handy, like moments and couples or just forces on axis. It is easier to approach questions? How do you do this, i struggle with starting but when i am going i keep going.

[darrylcarter]

The part at 1:00 where you discussed that you can place the resultant force anyway on the pole or any rigid body; can it also work when solving a problem for a 3 Dimensional body as well?

[fatimaphone]

Cool!!! But i didn't get how you know the direction of moments (clockwise or anti

[davemichaelcalderon]

Is thus concept related to the topic of couple transfer?

[nautahashimi]

if i made clockwise positive and counterclockwise positive should my moment be different?

[ugurakar]

at 4:48 m3's j component needs to be -450j or am I making a mistake

[jesussaquin]

Are moments different if we were to take them at different points?

[paugust]

Would you call any of these "reduction to wrench" problems?

[eyobderese]

at 6:34, can we put the force out of the body?

[Carusot]

Wouldn't the 200 N still have influenced the moment by enforcing the starting position and making it harder to start moment? Now when you put 20 kgs on a pole and it doesnt matter you could say that putting 20 tons on the pole doesnt matter either and doesn't affect the moment force, when in reality obviously it would? so why is this not taken into consideration? Is this because it wouldnt fit in the equation and propably has its own formula/rules and therefore, maybe is because this would be way to difficult and advanced for first year? Or i am wrong

[godzilla]

2:50 how the M1x make a moment it's direction wont make a spin