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Truss analysis by method of sections: worked example #1

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Engineer4Free

Engineer4Free

Күн бұрын

This engineering statics tutorial goes over a method of sections example problem for truss analysis. You first need to solve for the reaction forces by drawing a FBD of the entire structure. Once you have the reactions, you then need to pass a virtual cut through the truss that “cuts it in half.” This virtual cut must pass through the member that you’ve been asked to solve for. Take only one side of the structure (on either side of the cut). You should have a maximum of three unknown members that you’ve cut through. Draw them in tension, and you will be able to solve for static equilibrium for whichever half of the structure you’ve chosen, because you have already calculated the reaction on that side in the previous step. You’ll have 3 unknowns (the 3 unknown internal forces) and 3 equations of equilibrium (sum of forces in x, sum of forces in y, and sum of moments about a point (usually the reaction).
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Looking for software? I highly recommend checking out SkyCiv. They make a full suite of online structural analysis software and tools that are useful for both students and professionals, including calculators for beams, trusses, frames, moment of inertia and more. It’s great for checking your work:
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Thanks for watching, I hope it helps!

Пікірлер: 270
@hihihi45ify
@hihihi45ify 3 жыл бұрын
wow you literally taught me what it took my teacher 3 hours to confuse me about lololol
@Engineer4Free
@Engineer4Free 3 жыл бұрын
😊😊 You should check out engineer4free.com/statics for all of the ither videos I did too!
@Itsmellsfishy
@Itsmellsfishy 3 жыл бұрын
Im lucky that my teachers are good. I just forgot this and cbf loggin in to find the tute. Vids good
@abdullahashfaque8995
@abdullahashfaque8995 8 ай бұрын
Literally same here
@korajarkchokeapinun5946
@korajarkchokeapinun5946 5 жыл бұрын
This is not a man, this is a god of engineering tutorials! Thank you so much man, you have no idea how many lives you have just saved just by doing these kinds of videos. Keep it up man!
@Engineer4Free
@Engineer4Free 5 жыл бұрын
🙌🙌 Thanks Korajark!! If you haven't already, do check out the whole collection of statics vids I made over at engineer4free.com/statics and tell some friends!! =)
@justinfields9836
@justinfields9836 3 жыл бұрын
Fantastic Video. It took the professor 3 weeks to confuse me, and it took you 5 mins to explain it properly. Thank you.
@Engineer4Free
@Engineer4Free 3 жыл бұрын
Glad it helped! Check out the rest of the playlist here: engineer4free.com/statics =)
@jaeheich2240
@jaeheich2240 3 жыл бұрын
I'm sincerely grateful for you giving literally a free lecture on KZfaq..! Thank you so much. It helped me not only to solve questions in assignments but also to understand the entire truss analysis..!
@Engineer4Free
@Engineer4Free 3 жыл бұрын
Glad I can help!! There are more vids here: engineer4free.com/statics =)
@zipzazoooo9831
@zipzazoooo9831 5 жыл бұрын
Honestly I don’t know how people don’t learn from you, you literally made this the easiest method ever, I use to hate method of joints/sections but this is a great guide. Thank you
@Engineer4Free
@Engineer4Free 5 жыл бұрын
Thanks for the feedback Kammy, glad the videos are working =) =)
@trendstermani5603
@trendstermani5603 7 жыл бұрын
GOOD effort I often see your videos to learn structure analysis. I have learnt much from ur videos. Simple and effective way of teaching. Thanks for making this effort
@Engineer4Free
@Engineer4Free 6 жыл бұрын
Hey sorry this comment wen't without a reply for so long, somehow it slipped through. Thanks a lot for your feedback!! :D
@user-ll8tv2tg3d
@user-ll8tv2tg3d 9 ай бұрын
thanks hommie, helped a lot boss, passed my external engineering exam because of this video, legend.
@ki3766
@ki3766 3 жыл бұрын
i like to thank you from the bottom of my heart for making this super simple to understand. being in this pandemic, online classes have been rough. ur vids gave me hope in succeeding in my first semester in degree. thank you so much and i hope you have a great life for helping us all.
@Engineer4Free
@Engineer4Free 3 жыл бұрын
Thanks for the nice comment, and glad I can give you hope. please share the vids with other students that could use them too
@johansvensson830
@johansvensson830 6 жыл бұрын
I know everyone on here is thanking you, but I must say how much I appreciate your videos. They are by far the most concise and helpful of statics on YT.
@Engineer4Free
@Engineer4Free 6 жыл бұрын
Thanks Johan, It means a lot to me just to get a simple thank you but I always really appreciate a comment with genuine substance :)
@kicktakerzofficial
@kicktakerzofficial Жыл бұрын
How can I express my gratitude, such a brilliant lecture . To the point, short, excellent.
@stevecruz7227
@stevecruz7227 Жыл бұрын
Moment about F would be more practical for timed assessments, but this explanation is a 10/10
@petercasazza2791
@petercasazza2791 5 жыл бұрын
This video has been so helpful. I really enjoyed the fact that you speed up the video during the time you were writing out the equations. Once again thank you.
@Engineer4Free
@Engineer4Free 5 жыл бұрын
Hey awesome thanks for writing Peter. Yeah I figured no one needs to sit and watch me write all that stuff out in real time =) =), glad you like the way I do it!
@baileywilliams4339
@baileywilliams4339 2 ай бұрын
Getting ready to take the PE, this was a great help to try and remember schooling from 4 years ago
@ashar08
@ashar08 6 жыл бұрын
Damn man you simplified a lot of work for me. Thanks. We owe you a lot
@Engineer4Free
@Engineer4Free 6 жыл бұрын
Glad to hear it bro. Just tell some classmate that could use the help too :)
@loganbecker678
@loganbecker678 3 ай бұрын
Thank you very helpful I didn't understand the cutting part but seeing the cut members turn into forces was a lightbulb moment
@Brainisthenics-sr2rq
@Brainisthenics-sr2rq Ай бұрын
One can on yearn to solve problems as fast as this man.
@fauzansyauqi2815
@fauzansyauqi2815 3 жыл бұрын
OMAIGOD, what kinda magic did you use that make me understand just with 5 mins vid instead of 2 hours lectures
@orlandogeorge2514
@orlandogeorge2514 3 жыл бұрын
You're an unbelievable teacher. Thank you for your work.
@Engineer4Free
@Engineer4Free 3 жыл бұрын
You are very welcome!!
@Hud_Adnan
@Hud_Adnan 6 жыл бұрын
I'm studying this before finals and these videos are very helpful 🌸
@Engineer4Free
@Engineer4Free 6 жыл бұрын
Keep it up and good luck!!!
@benfarquhar6773
@benfarquhar6773 2 жыл бұрын
Moment about F would also give EG in one step. Great video
@vsnaidup7124
@vsnaidup7124 3 жыл бұрын
i finally understood how to use method of sections properly. thank you
@Engineer4Free
@Engineer4Free 3 жыл бұрын
Glad it helped!!! There are some more examples in videos 42-51 here: engineer4free.com/statics
@karthikgovil7219
@karthikgovil7219 5 жыл бұрын
I couldn't understand this method until I saw this video, never realized it would be so simple :p
@Engineer4Free
@Engineer4Free 5 жыл бұрын
Glad to hear I could help!!! It doesn't need to be complicated =) =)
@karthikgovil7219
@karthikgovil7219 5 жыл бұрын
@@Engineer4Free didn't even extend it till 10:01 for midroll ads, and for that I am eternally grateful
@BryceChristensen1000
@BryceChristensen1000 5 жыл бұрын
The production quality on this video is through the roof
@Engineer4Free
@Engineer4Free 5 жыл бұрын
Thanks Bryce
@jeremysonneman1330
@jeremysonneman1330 Жыл бұрын
Thank you! I was stuck on a problem set up exactly like this for hours!
@Engineer4Free
@Engineer4Free Жыл бұрын
Glad I could help! Full playlist is here: engineer4free.com/statics including lots on trusses
@shehanmahabaduge2238
@shehanmahabaduge2238 3 жыл бұрын
Thank you very much! With love from Sri-Lanka!
@Engineer4Free
@Engineer4Free 3 жыл бұрын
You're very welcome!! Incase you haven't seen the full playlist yet, it's here: engineer4free.com/statics plz share with some other students 🙏
@shehanmahabaduge2238
@shehanmahabaduge2238 3 жыл бұрын
@@Engineer4Free Definetely !!!!!!!
@nickmartinelli7789
@nickmartinelli7789 4 жыл бұрын
thank you so much you're a legend im in ISE but I still have to take statics so you are saving me big time
@Engineer4Free
@Engineer4Free 4 жыл бұрын
Thanks Nick, glad I can help.. you can make it through Statics!!! 🤜🤛
@Engineer4Free
@Engineer4Free 4 жыл бұрын
Thanks Nick, glad I can help.. you can make it through Statics!!! 🤜🤛
@zaidadnan6366
@zaidadnan6366 6 жыл бұрын
your videos are as great as a university itself and your website is way coole , I wish I could know about your website sooner ... you Got my respect
@Engineer4Free
@Engineer4Free 6 жыл бұрын
Thanks a lot! I hope you get lots of use out of it, and feel free to tell some friends so they can benefit too =)
@DavidSchmith7
@DavidSchmith7 5 жыл бұрын
If you had taken moment about Point F, it would have been one step to solve the problem. Nonetheless, very well explained
@Engineer4Free
@Engineer4Free 5 жыл бұрын
Yeah true. If you can see that, then you're doing alright =) =)
@nahilismail3144
@nahilismail3144 4 жыл бұрын
@@Engineer4Free could you please explain what ou mean? if you take moment about point f wouldnt the forces we want to find be acting in the point and not formed into an equation
@inyoungbaek6426
@inyoungbaek6426 4 жыл бұрын
@@nahilismail3144 the force EG isn't, its perpendicular distance from point F is 0.866m- so you can calculate EG and sub it into Fx equation 🙃
@nahilismail3144
@nahilismail3144 4 жыл бұрын
@@inyoungbaek6426 thank you so much for helping a stranger you know nothing about. i hope you have a good day!
@anwarulbashirshuaib5673
@anwarulbashirshuaib5673 4 жыл бұрын
Yeah, I was thinking the same. But finding out all the unknowns can be useful for checking the answer by summing all the moments about an arbitrary point and see if that equals to zero.
@yashchincholikar2322
@yashchincholikar2322 3 жыл бұрын
This is great as compared to the confusion after 2hrs of mechanics+2 hours wasted of my life during online lectures of mechanics
@Engineer4Free
@Engineer4Free 3 жыл бұрын
Glad I'm able to help, you can see all of my statics videos here: engineer4free.com/statics there are quite a few truss videos!
@jennyw5904
@jennyw5904 Жыл бұрын
Thank you!! I was so confused, but this video made it so easy!
@abdullahsarfraz5124
@abdullahsarfraz5124 4 жыл бұрын
To all the men and women I had to refer to when I was having trouble understanding anything because of covid-19, I salute you
@Engineer4Free
@Engineer4Free 4 жыл бұрын
Thanks Abdullah, glad I can help ✌️
@Shardus_Blunder
@Shardus_Blunder Жыл бұрын
Simple, precise, and great!
@reaper15th
@reaper15th 5 жыл бұрын
You sir.... are a badass. Thank you!
@Engineer4Free
@Engineer4Free 5 жыл бұрын
Thanks dowg.
@aynil7487
@aynil7487 2 жыл бұрын
Mannn may God bless you🥺thank you very much🌼
@84toanpham
@84toanpham 5 жыл бұрын
we can also take the moment at G (that eliminate 2 unknown forces FG & EG). This will take less work: ∑Mg=-FG(.866)-2.2(3)+2(2)=0 FG=(2.2(3)-2(2))/.866=-3.00KN
@Engineer4Free
@Engineer4Free 5 жыл бұрын
Thanks for the contribution Toan! It's a good sign if you are recognizing other ways to solve problems, shows that you are really understanding it. Thanks for contributing the discussion and showing others!
@danellbaptiste3084
@danellbaptiste3084 3 жыл бұрын
Good I got the same answer!!
@munashe5511
@munashe5511 3 жыл бұрын
You Sir are a legend
@Engineer4Free
@Engineer4Free 3 жыл бұрын
Thanks Munashe =)
@8OZntcs
@8OZntcs 6 жыл бұрын
ffs lmao best guide out here appreciate the help fam
@Engineer4Free
@Engineer4Free 6 жыл бұрын
hah thanks!
@yousseftanzakkine4391
@yousseftanzakkine4391 Жыл бұрын
thank you! and you could have used the moment about point F and get the same result: 2.2x2.5-2x1.5-EGx0.866=0 EG=2.9
@rationalpi6755
@rationalpi6755 3 жыл бұрын
This man is good at what he’s doing..... reminds me of Khan
@Engineer4Free
@Engineer4Free 3 жыл бұрын
Thanks cielcloud!! 🙌 You should also check out the rest of the playlist here: kzfaq.info/sun/PLOAuB8dR35oeXMk2C5fjHP2K306hGfk_w
@rationalpi6755
@rationalpi6755 3 жыл бұрын
@@Engineer4Free I already have your website bookmarked :D
@dishaldatta3375
@dishaldatta3375 Жыл бұрын
Excellent information but since all are pin joints we can directly take moment about F = 0 and get the force value of EG in single step after cutting the section
@Midas-jc5lv
@Midas-jc5lv 3 ай бұрын
Very comprehensive
@benhogan7036
@benhogan7036 3 жыл бұрын
Great refresher. Thanks!
@Engineer4Free
@Engineer4Free 3 жыл бұрын
Glad it was helpful!! =)
@jano4685
@jano4685 4 жыл бұрын
bro you saved my life thx !!!!!!!!!!!!!!!!
@Engineer4Free
@Engineer4Free 4 жыл бұрын
Glad I could help!! Check out all the statics vids I did over at engineer4free.com/statics when you have a minute ✌️
@Flameedima
@Flameedima 5 жыл бұрын
much love, very clear
@Engineer4Free
@Engineer4Free 5 жыл бұрын
Thanks Dmitry!!
@FlashKillerX
@FlashKillerX 6 жыл бұрын
Thank you! My professor skipped this lesson but I still have a quiz on it for some reason so you just saved my ass lol
@Engineer4Free
@Engineer4Free 6 жыл бұрын
Typical haha. Lemme know how it goes!
@LukesJuggling
@LukesJuggling 4 жыл бұрын
chegg: the microwave of homework help
@mohamedmagdy299
@mohamedmagdy299 3 жыл бұрын
Useful and short 👍
@Engineer4Free
@Engineer4Free 3 жыл бұрын
Glad you liked it =)
@simphiwembense7234
@simphiwembense7234 3 жыл бұрын
Question: when you were finding the sum of moments at A you assumed that anti clockwise moments were positive. Why the momements then expressed as negatives @4:31.
@muhammedsalman3099
@muhammedsalman3099 4 жыл бұрын
Simple and efficient👌🏻
@Engineer4Free
@Engineer4Free 4 жыл бұрын
Thanks Muhammad!!!!
@willthewisp2446
@willthewisp2446 2 жыл бұрын
you did a good job explaining this, cheers :D
@PattyCani1
@PattyCani1 5 жыл бұрын
Great video! Thank you so much.
@Engineer4Free
@Engineer4Free 5 жыл бұрын
You're welcome, thanks for watching! Check out the rest of my statics videos here if you haven't already: engineer4free.com/statics =)
@onceappuonatime
@onceappuonatime 4 жыл бұрын
KZfaq should keep track of dates for my final exams & topics covered in them using Google Calendar and then suggest me videos like this as the date for the exam approaches.
@Engineer4Free
@Engineer4Free 4 жыл бұрын
😂😂.... But actually 🤔
@TBC1599
@TBC1599 3 жыл бұрын
One day we'll get to this point.
@Ricochet_Master
@Ricochet_Master 8 ай бұрын
Instead of equating forces, can we solve the entire question by using moment? Like if we first take moment about F, then we will be able to find F(EG) as the moment of the other two unknown forces will be zero and then we can take moment about B to find F(FG), and then solve for the remaining unknown force.
@marcpasquini1029
@marcpasquini1029 3 ай бұрын
sum the moments about F. instantly solves for Eg and no sine and cosine to deal with.
@user-km2rq5ui3m
@user-km2rq5ui3m 9 ай бұрын
Thanks 😊...can you make more videos please
@engineer.paulmusyoka
@engineer.paulmusyoka 4 жыл бұрын
Thanks for this.
@Engineer4Free
@Engineer4Free 4 жыл бұрын
You're welcome Paul! 🙂
@thomasgrootenboer
@thomasgrootenboer Жыл бұрын
Freaking lifesaver dude
@DileepKumar-ng8ys
@DileepKumar-ng8ys 4 жыл бұрын
Thanks
@Engineer4Free
@Engineer4Free 4 жыл бұрын
You’re welcome!!
@tylerclemmer1297
@tylerclemmer1297 9 ай бұрын
Try using the moment about point F instead of point A, you'll cut out half the work
@elmerz1143
@elmerz1143 3 жыл бұрын
Hey how is the FG cos 60 (0.866) shouldn’t be half of 0.866? I was just wondering this since FG sin 60 is (2.5) because the 1m was cut in half?
@Engineer4Free
@Engineer4Free 3 жыл бұрын
Yeah so in the first line of the sum of moments about A equation, notice that there are two terms that include FG. One has an FGsin60 and the other has an FGcos60. The FGsin60 is the y component of FG, and it's also multiplied to 2.5, which is the perpendicular distance from A to the line of action of the force FGsin60. The FGcos60 is the x component of FG, and it's also multiplied to 0.866, which is the perpendicular distance from A to the line of action of the force FGcos60. Notice that the line of action of the x component of FG (FGcos60) is a horizontal line, in line with the top of the truss, which is 0.866m above the bottom of the truss. Both x and y components of FG cause a moment about point A, so both need to be accounted for in that equation.
@pyrosweets
@pyrosweets Жыл бұрын
About to fail a mech final tomorrow morning, wish me luck
@biancamncube289
@biancamncube289 4 жыл бұрын
Thank you
@Engineer4Free
@Engineer4Free 4 жыл бұрын
You’re welcome!!! 🙂
@lekhrajdewangan8491
@lekhrajdewangan8491 4 жыл бұрын
Thank you so much 🙏 ❤️ sir
@Engineer4Free
@Engineer4Free 4 жыл бұрын
You're welcome Lekhraj!! 🤜🤛
@captainobvious1415
@captainobvious1415 4 жыл бұрын
3.25 how come you are including Ay of 2.2 kN in the Fy expression, but you’re not including Ax in the Fx expression?
@Engineer4Free
@Engineer4Free 4 жыл бұрын
It's because Ax is can be determined to be equal to zero by inspection. There are no horizontally applied loads and the structure is simply supported, so Ax must = 0. Because its zero, I just don't bother writing it in the Fx expression. Hope that makes sense!
@zachmccormick2263
@zachmccormick2263 2 жыл бұрын
Wouldn't the height of the truss be 0.43m? 0.5sin60 = 0.43
@Engineer4Free
@Engineer4Free 2 жыл бұрын
ah no, it should be 1m*sin60, as each member is 1m long =)
@dlansmg
@dlansmg 2 жыл бұрын
You invited to my graduation 🔥
@seventeensebong2185
@seventeensebong2185 4 жыл бұрын
Hi I just wanna say THANK YOU SO MUCH FOR THIS. I have been actually struggling with statics because i dont know what i should do first like should i get the summation of horizontal forces first? Or should i do a moment on a member likeee i was so confused but with this technique just writing it down first then just substituting it later really makes sense to me. My finals is coming up in 2 days I guess i still have time to review from sections to space trusses
@Engineer4Free
@Engineer4Free 4 жыл бұрын
Hope you're exam went well!!! 🙌🙌
@faisalkarim6016
@faisalkarim6016 2 жыл бұрын
same
@evanhopkins8413
@evanhopkins8413 3 жыл бұрын
why do we ignore eg when doing the moment about a
@Engineer4Free
@Engineer4Free 3 жыл бұрын
Because the line of action of EG passes through A. a force can only cause a moment about a point if it's line of action does not pass through that point
@jaribrivas4040
@jaribrivas4040 Жыл бұрын
FG is in compression not tension, right? Because the arrows down are positive. Thus, in compression
@jakewilliams7793
@jakewilliams7793 2 жыл бұрын
Why isn't EG calculated in the Sum of the Moments? Sorry I have jumped right into the middle of my engineering course and need to catch up
@alfalfa202
@alfalfa202 5 жыл бұрын
If you draw the forces going out of the joint and get a positive number, that means that the force is "pulling on the joint", making the joint in tension. But this means that the actual member is in compression right???
@Engineer4Free
@Engineer4Free 5 жыл бұрын
Ahh not quite. You got the first part right. If a member is pulling on a joint, then that member is in tension. Think about rope. Ropes can only be in tension. If you have a rope with a joint attached at each end, and that rope has been tightened somehow such that it is pulling on each joint, then the rope is in tension. The rope that pulls on support reactions is not in compression, and nether would a steel or wood member that is similarly "pulling" on each joint. If you're still not convinced, switch the perspective that you observing from. We're talking about the member pulling or pushing on the joint; so this what's going on from the joint's perspective. Try thinking from the member's perspective. If a member in static equilibrium is pulling on a joint, then the joint can be thought of as pulling on the member, just in the opposite direction. So if you're a two force truss member, and a joint is pulling on each side of you, then you're getting stretched out. Getting stretched out mean's that you're in tension. Conversely, if you're a two force truss member and your pushing on each joint, then those joints are pushing back on you. You're getting pushed on both ends. You're getting squished. Getting squished means that you're in compression. Hope that helps!
@noobdudegaming1018
@noobdudegaming1018 3 жыл бұрын
I got a completely different answer solving from the RHS? I got Rk=+2.8kN I got EG from taking moments about F to be 2.87kN
@Engineer4Free
@Engineer4Free 3 жыл бұрын
Ok so you are all good? Can't tell if the text after the edit is still relevant 🤔
@ivancastro365
@ivancastro365 3 жыл бұрын
What happened to Ax at the sum of x of the left section
@Engineer4Free
@Engineer4Free 3 жыл бұрын
There are no externally applied forces with any horizontal component. Ax is the only reaction force that can withstand horizontal loads, so the sum of forces in x direction equations is just Ax = 0. I skipped it, because it's almost always zero in these problems. So you could label it on, but it equals zero anyways and has no affect.
@danielmoreno9935
@danielmoreno9935 Жыл бұрын
Is there a reason as to why you made the cut from FH FG and EG? Why didn’t the cut go from FH FG and FE? Maybe it’s obvious but I’m just not seeing it
@Martin-yt6bn
@Martin-yt6bn 5 жыл бұрын
Sum of moment in point F gives 1 equation and 1 unknown
@Engineer4Free
@Engineer4Free 5 жыл бұрын
You could still solve the problem if you took sum of moment about F. Sum of moment about F would give you EG. Sum of force in y would still give you FG. You would find FGx as usual, and then use it, and EG, in your sum of force in x to find the last unknown, FH.
@mccoy5452
@mccoy5452 4 жыл бұрын
I’m confused sir, on moment at A why did you use FG twice (horizontal and vertical) isn’t you just choose one or use one FG in he equation, and why not put EG on the equation?
@Engineer4Free
@Engineer4Free 4 жыл бұрын
FG is diagonal so has both x and y conponent. Both of their lines of action do not pass through point A, so they will cause a moment about A if their magnitude is not zero. That's why we use both. The line of action of EG passes through A so it cannot create a moment about A, so it just gets omitted from the equation.
@thedominator4891
@thedominator4891 9 ай бұрын
When finding FH 4:01 why are you measuring 2.5 shouldn’t it be just 2 cuz that’s the member where the force is applied?
@theemillennial
@theemillennial 4 жыл бұрын
Should have shown how you got FGcos60 because now I'm completely confused or at least shown the numbers used Update: nvm it's a perfect triangle. All sides equal 60 in order to get 180
@Engineer4Free
@Engineer4Free 4 жыл бұрын
🙌🙌
@Umareineacademia0196
@Umareineacademia0196 4 жыл бұрын
Thank u sir
@Engineer4Free
@Engineer4Free 4 жыл бұрын
You’re welcome Omar! 😁
@fatehjit1
@fatehjit1 3 жыл бұрын
if I need to calculate forces on JH then will a method of section works or we need to use the method of joints?
@Engineer4Free
@Engineer4Free 3 жыл бұрын
Either works. If doing method of sections, make the virtual cut through members JH, JI, JK, and if doing method of joints, find the reactoins, then solve joint k first. Next you would solve for joint J and would find the answer.
@tehrater480
@tehrater480 6 жыл бұрын
Thanks!
@Engineer4Free
@Engineer4Free 6 жыл бұрын
You're welcome!
@shariffnurrmohammad1314
@shariffnurrmohammad1314 3 жыл бұрын
If everytime you have negative value and plug it in to another equation, should I plug it with remaining negative sign or can I change to positive sign? as long as the final value would tell you if its in tension or compression? I'm confused, please enlighten me. Thanks
@shariffnurrmohammad1314
@shariffnurrmohammad1314 3 жыл бұрын
In this example, you have FH = -3kN then plugged in the Sum. Fy equation to get have a value of EG = +2.885kN. What If I plug it with +3kN since I know that FH is in tension and changed the graph. The value is different I guess.
@Engineer4Free
@Engineer4Free 3 жыл бұрын
​@@shariffnurrmohammad1314 Hey yeah. So just to clarify, FH is actually in compression. I drew it initially in tension, and found it to have a negative magnitude, which means it's true sense is compression, not tension. Once you know that a member is truly in compression you can do two things. Method #1) Do not update the arrow on any FBD (ie, keep it drawn in the tension direction) and then any time you analyze a FBD that involves that force, use it's direction to determine whether you add or subtract in the sum of force equation, but then substitute a negative value for the letter. That's what I did in this case. Calculated FH to be 3kN Compression in the moment eq, and then in the sum of force in x equation, I left the arrow for FH as if it were in tension, and because FH points to the right on this FBD, I give the FH a + sign in front because it points in the positive x direction. But then irrelevant to that + sign, I substitute "FH" for "-3kN" and "+FH" becomes "+(-3kN)" which is equivalent to "-3kN". Method #2) Update the arrow on all FBD's that it interacts with to show that it "pushes" on the joint rather than "pulling" and assign it a positive value. So if we did this, then we'd have to update FH at joint F to push on it (to the left) rather than pull (to the right). When we take the sum of force in x direction, then we'd give the FH a - sign in front because it points in the negative x direction. So we would have a "-FH" already in the expression, and then we would substitute "FH" for "(positive)3kN" and "-FH" would become "-(3kN)" which is equivalent to "-3kN". Hope that helps to clarify. We in a way have two layers of +/- rules going on here. One is that when solving for the unknown internal force of a member assumed to be in tension, that + means it is in tension and - means that it is in compression, and the other sort of unrelated thing when we are taking sum of force in x or y direction, that + refers to whether a force in a FBD is pointing toward the positive direction, and - refers to a force that is pointing toward the negative direction.
@THECONDOR98
@THECONDOR98 3 жыл бұрын
How did you know It was Cos(60º) at 3:11
@Engineer4Free
@Engineer4Free 3 жыл бұрын
By drawing. right angle triangle that includes FG, FGx, and FGy and applying SOH CAH TOA. All angles are 60 degrees. See this: i.imgur.com/dTR8W7X.jpg
@amylai3616
@amylai3616 2 жыл бұрын
when you do the moment equation- why do you include the moment of FH but not EG? they're both purely horizontal forces so I don't understand why one is included and not the other
@Kurosaka
@Kurosaka 3 жыл бұрын
at 3:18 ik trignometry but can please explain why you use sine or cosine? it's difficult to see when to use each...
@Engineer4Free
@Engineer4Free 3 жыл бұрын
Hey. If you are unsure, of which to use, draw a right angle triangle overtop of the truss that includes the angle you're working with, and two of the sides along the members that make up that angle. From there, label the angle, opposite, adjacent, and hypotenuse sides. From there you can determine whether you need to use sin or cos. See this image: i.imgur.com/Dvdqf2t.jpg
@Engineer4Free
@Engineer4Free 3 жыл бұрын
When in doubt, draw a right angle triangle over top of the truss, using the angle in question, and both members that touch it as 2 of the 3 sides of the triangle. Then label on the opposite, adjacent, and hypotenuse sides, and from there you can determine if you need to use sin or cos to solve the unknown in question. See this image: i.imgur.com/Dvdqf2t.jpg
@eebsy9896
@eebsy9896 4 жыл бұрын
When finding the moments at A... when we're looking at the y component of FG acting at 2.5 metres, should it not be cos30? It's acting at 30 degrees to the y axis. Or am I misunderstanding? Thanks!
@Engineer4Free
@Engineer4Free 4 жыл бұрын
Hey, the equation for moment is M=Fd, where MN is the moment caused about the point, F is the magnitude of the force, and d is the perpendicular distance from the line of action of the force to the point. 2.5m is the perpendicular distance to the line of action of the y component of FG only. 0.866m is the perpendicular distance to the line of action of the x component of the force. Neither 2.5m or 0.866m are the perpendicular distances to the line of action of the force FG. It’s longer to try to find out what that distance is, than it is to just separate it into x and y components and solve by parts.
@stephenchrist6011
@stephenchrist6011 9 ай бұрын
at 3:24, why did you put FGsin60 as a negative?
@nehalnafcy198
@nehalnafcy198 5 жыл бұрын
Hi, could you please make some videos explaining how to tackle engineering friction problems and the angle of repose please..
@Engineer4Free
@Engineer4Free 5 жыл бұрын
Hey I just have a few friction problems here: engineer4free.com/statics that are at the basic level of statics. I'll be getting around to friction problems in dynamics soon, and eventually may cover angle of repose if I ever do a serious on geotechnical engineering. Thanks for the suggestions =)
@penhpunlok320
@penhpunlok320 5 жыл бұрын
god bless you
@Engineer4Free
@Engineer4Free 5 жыл бұрын
Thanks Penh 🤜🤛
@SHIZZLE71
@SHIZZLE71 3 жыл бұрын
would u have to do anything extra if point G had a force pulling downwards from it?
@Engineer4Free
@Engineer4Free 3 жыл бұрын
Yes. You would need to include it in the FBD of the whole structure, when calculating the reactions at A and B. It will cause A and B to be different than they are now. After that, proceed in the exact same way. You can make the same cut, and inspect the left side of the structure if you want, but you will get different answers, because Ay will be different than it is now.
@SHIZZLE71
@SHIZZLE71 3 жыл бұрын
@@Engineer4Free but with the problem I’m doing, it asks my to find EG but joint G has a downward force acting on it. But when I split the truss in half, it gets cut off. What do I do?
@Engineer4Free
@Engineer4Free 3 жыл бұрын
@@SHIZZLE71 That's ok, it's not a problem. Go to 1:40 where I take the FBD of the whole structure. Include your extra downward force, at G. So you'll have an extra term in the sum of y expression, and also the sum about A expression. You will fin that Ay will be bigger than if your downward force did not exist. Once you found Ay, then do the cut, and analyze the left side. The downward force at G will not be present, because it is on the left side of the cut. But the influence of that force is already accounted for. This is why Ay is bigger than if that force at G was not there. It's because Ay knows its there from the calcs at 1:40. When you solve for FG, FH, and EG, their magnitudes depend on Ay. And Ay depends on all of the external forces, including the one at G. Hope that helps.. If it's still not making sense, then I just recommend watching vides 42-51 here: engineer4free.com/statics After doing several examples you might start noticing the pattern that they all follow, especially that Ay and By depend on the location and magnitude of the externally applied forces.
@thegrayside7250
@thegrayside7250 3 жыл бұрын
can you cut them multiple times?
@Engineer4Free
@Engineer4Free 3 жыл бұрын
If you're cutting the truss in half to completely separate one side from the other, then make sure to only pass your virtual cut through a maximum of 3 individual members. If you for some reason pass through 4 or more, you won't have enough equations to work with.
@thegrayside7250
@thegrayside7250 3 жыл бұрын
tnx for your videos 😁
@esjiugb8820
@esjiugb8820 3 жыл бұрын
how can we use method of section if their are 3 unknowns in the center that forms a right triangle?
@jamalherron9489
@jamalherron9489 Жыл бұрын
why don't you sum moment about F to get EG wouldn't it be more work
@adrianhuang7182
@adrianhuang7182 5 жыл бұрын
Why did you take FGsin60? I used the same method on my test it happened to be wrong.
@Engineer4Free
@Engineer4Free 5 жыл бұрын
The angle might have been different on your test, or you may have needed to use cos instead because of the certain context. You have to take care when constructing the right angle triangle that you will use for your trig functions, here is an example of how to do one,: imgur.com/a/YCT6I1a sin is usually used for the vertical component, and cos is usually used for the horizontal component, but not always, it depends how you draw the right angle triangle
@jackoconnor2718
@jackoconnor2718 2 жыл бұрын
Can you just take the moment about point F to get EG?
@SnapToothbrush2
@SnapToothbrush2 3 жыл бұрын
When doing the sun of forces in the X for the section why did you exclude Ax?
@Engineer4Free
@Engineer4Free 3 жыл бұрын
Sum of forces for the entire structure shows us that Ax = 0, so I just don't bother writing it
@xelleniaschnee4375
@xelleniaschnee4375 5 жыл бұрын
can someone answer my question ? why did he not include the EG in summing the forces ? thank you
@joshman9757
@joshman9757 5 жыл бұрын
If you are talking about when he is doing the moments about A (time 3:30 ) then the answer is cause EG is pulling straight in the X direction with both Ax and EG having the same Y coordinates. If you are talking about the horizontal forces summing, he does have EG in there. If you are talking about the vertical forces summing, it is not in there because EG is *not* a vertical force.
@Engineer4Free
@Engineer4Free 5 жыл бұрын
@@joshman9757 Yup thanks dude. The line of action of EG passes through point A, so it doesn't cause a moment about point A =) =)
@alonzoarmendariz4057
@alonzoarmendariz4057 Жыл бұрын
how did you get the 60 degrees?
@Engineer4Free
@Engineer4Free Жыл бұрын
All members are the same length, so it's an equilateral triangle. All angles of an equilateral triangle are 60° (180/3). That is something you may be expected to realize on an exam so watch for it!
@leonardleroy9490
@leonardleroy9490 4 жыл бұрын
Can anyone explain why there is no EG in the equation at 4:05 ? is that because that is supposed to be EG * (0) ? I got exam tomorrow, thanks already :)
@Engineer4Free
@Engineer4Free 4 жыл бұрын
It's because the line of action of EG passes through A, so EG does not cause a moment about A. No need to write a term for a force in the moment about A eq if it's known to not be a part of it anyways 🙂
@leonardleroy9490
@leonardleroy9490 4 жыл бұрын
@@Engineer4Free Ah I see, thank you so much! You really helped me out :)
@KUUKU.O
@KUUKU.O 3 жыл бұрын
please why did you leave out Ax when you were finding the sum of X's
@KUUKU.O
@KUUKU.O 3 жыл бұрын
As in forces in the x direction
@Engineer4Free
@Engineer4Free 3 жыл бұрын
Because there are no horizontally applied forces on this structure. So if you wrote the expression for sum of forces in x direction, you would just have Ax = 0. Ax is the only thing that can apply a horizontal load to the overall structure (ie, not an internal force), so it just equals zeor. Because of that, I opted not to write the expression. If you're in a test, it's worth writing, but after making so many of these videos I started leaving it out. The rest of the playlist is here btw: engineer4free.com/statics =)
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