Frames and Machines | Mechanics Statics | (Solved Examples Step by Step)

Learn to solve frames and machines problems step by step. We cover multiple examples involving different members, supports and springs and we also talk about 2 force members. By the end of the examples, you should have a good understanding of how to solve frames and machines problems.

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Intro (00:00)
Two force members (01:36)
Determine the horizontal and vertical components of force which pin C exerts on member ABC (02:25)
Determine the horizontal and vertical components of force at pins B and C. (05:44)
The compound beam is pin supported at B and supported by rockers at A and C (08:12)
The spring has an unstretched length of 0.3 m. Determine the angle (10:09)

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

[Katula]

That last question was brutal. as always thank you. Your videos will be viewed by generations of engineering students to come, because of how clean they are and how clear the explanations are.

[masterblake]

Hey man, just wanted to say thank you for your videos. I'm not sure I would have passed my statics class without the examples and the clear way you lay out information. I'm glad to see you are still making videos. If you make videos about stress, strain, and other strength of materials topics I'll be here to watch! Thanks again.

[gripenjasd-anm]

I cant express my love on how many times this channel helped me, clean and straight to the Btw the 2force member actually really helped turn a lot of the complex questions into easier ones, i hope my prof actually teach this.

[BigSmokeEnthusiast]

Always manage to do a better job at teaching me the material than my professor. I recommended ur account to other students cuz of how much of a blessing ur Statics playlist is!!

[devrimeskibina]

THANK YOU! I have my statics mid term tomorrow, and I was really stuck.

[za]

This video summed up what my professor couldn’t. I am a bit foggy on solving the three equations at the end. I thought B(y) would be the starting point but then there is theta. Idk how to isolate the 3 unknowns there. Or better yet which equation to start with. But still thank you for the video, it helped a great deal. I subscribed and will continue to watch

[CarterRaiche]

Taught this better in 10 minutes than my prof did in 2 hours

[jaylut]

Hey, in the last question, at the very last part, with 3 equations with 3 unknowns, how do we actually solve it? I've tried many times before, but wasn't able to manually do it without a calculator😅 You're a great teacher!

[ettsoc]

Sir，thank u for your great video, I would like to ask why did you count the tension of the rope at 6：39？isn't it also an external force for the member BC just like the previous example at pin C at 4:32?

[ranisjohnclienta.]

The best teacher♥️. Thank you very much.

[tomasenrique]

This is such an amazing video! THANKS!

[saulromero]

In question 2 how do we know F AB points diagonally up and not down? Great video!

[abotsimandela]

For the first problem you said the 600N force is not an external force, so why then did you used it to solve for the reactions at A?

[daswimmer]

Hello, at 9:45 why isn’t the answer for Ay = 9.91 kN in the upwards direction? I’ve done it on my calculator a bunch of times but do not get the same answer. I think the direction on Dy is in the wrong direction, since Cy = 1.52kN in the upwards direction and 7*sin(60) = 6.06kN in the downwards direction, surely Dy should be 4.54kN in the upwards direction to balance out and have net 0 newtons in the y direction … please advise thanks

[KienPhamTrung-hyuh]

I have a question, in the third question why we cant take the bar AB to calculate first instead to CD and I got different answer.
Ur vid is great keep up the good work !

[engSendaza]

Very informative video. Thank you. I have a question, at 4:45, is it that whenever we have such a case( a force applied at a pin joint) and we are considering equilibrium of the two pin jointed members separately, the external forces acting at the joint isn’t included

[jasondinosoccer]

Helpful video thanks for sharing this information, helps for testing! 🤩

[matusalaalemseged]

Amazing video, man!

But I didn't quite understand why you ignored the 600KN force at joint C.


Is it because if we're dismantling the frame, any force applied at the joints will become an internal force and won't be considered?

[LuisRamirez-wbph]

On the first question what would the reaction forces be for E? Would Ex be 950N and Ey be 600N. If so, when I drew the FBD of member EDC the forces did not add up. One way I got Cx to be 350 while the video shows 650. I'm confused.

[HashemAljifri]

Hey do you have fluid mechanics tutorials? I used to watch your videos for engineering dynamics and statics and passed them. I would like to see your videos for fluid and soil mechanics