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ICLNJooLhIoahFor the Wruss structure with P 60KN shown in the figure .Identity Zcro force members;(b) detetmine reactive lorces at ! and and Ic) determine member fo...

Question

ICLNJooLhIoahFor the Wruss structure with P 60KN shown in the figure .Identity Zcro force members;(b) detetmine reactive lorces at ! and and Ic) determine member forces in CJ IJ; CD and DE using the method of sections, and state whether thev are in tension or compression; You may make multiple cuts or use the method of sections along with the method of joints: Note; If the methad of sections is not used the score for this problem will be cut by 50%

ICLN JooLh Ioah For the Wruss structure with P 60KN shown in the figure . Identity Zcro force members; (b) detetmine reactive lorces at ! and and Ic) determine member forces in CJ IJ; CD and DE using the method of sections, and state whether thev are in tension or compression; You may make multiple cuts or use the method of sections along with the method of joints: Note; If the methad of sections is not used the score for this problem will be cut by 50%



Answers

The rigid square frame in Fig. $12-79$ consists of the four side bars
$A B, B C, C D,$ and $D A$ plus two diagonal bars $A C$ and $B D,$ which pass each
other freely at $E .$ By means of the turnbuckle $G,$ bar $A B$ is put under tension,
as if its ends were subject to horizontal, outward forces $\vec{T}$ of magnitude 535 $\mathrm{N}$ . (a) Which of the other bars are in tension? What are the magnitudes of (b)
the forces causing the tension in those bars and (c) the forces causing compression in the other bars? (Hint: Symmetry considerations can lead to considerable simplification in this problem.)

For these questions, you have to look at a figure 10 0.4 c in the in the textbook. And we have to find Young's medalists. Ah, for ah, attention and for compression, considering only its most tresses. So first, I'm gonna find ah junks murderers for attention. And you're gonna take a look at the point that says proportional limit on We're gonna use values close to it. So young smart of this, um, jokes mode of this I'm gonna use Why? For attention. So why t is equal to it's stress overstrained. And if we use the values Intergraph weaken Get in the proximate mistress off five times 10 to the seventh. And this is getting sober meter squared and on his train off. 3.3 times. 10 to the negative three. And if we saw this, we get the Jenna's murder was for attention. It's 1.51 five times 10 to the 10 mutants over meters squared. These can also ah be reading in Paschal's so pressing the 1.515 times 10 to the tent Pasko's and this is the junks Merlis for pension. Now we're gonna repeat the same process for the junks modelers for ah, compression. So it's gonna be what I see. So it says so, mistress over his train. So, looking at the graph Ah, we're now going to use the proportional limit Ah, of the compression and we're gonna use values Excels to it. So for stress regarding is negative 4.5 times 10 to the seventh Nathan Silver meter square over negative five I was 10 negative three and use of the singer calculator and you get nine times 10 to 9 a new tin silver meters squared which is also nine times 10 to the ninth Paschal's So this is the junks models for a compression on these one is the junks modelers for ah for attention

Sarah analysis. Consider the diagram uh in the world we want to become mine. Uh the value the magnificat forces uh in a member of that uh system trust. Okay. Now, as well as to determine your nature. Now to solve this kind of a problem, you can see that the angle this angle is not given to be difficult for us to uh do something. So we need to find this angle. Okay, They will probably call the method of joints to solve the problem. All right. So to get an angle apply, don? T to use Danuta were able to get that angle, but So that about two. So what about value gets to take the James Acton. Okay, at of That value of 1.5. About two. So when you do that, you're going to arrive at Toyota equal to mm 36 0.9 degrees. Okay, now we can go ahead. We can now consider joint C. God Syria will have see there. Okay, Consider there's a force coming down. There is 45. That is our P if you want. It's 45. Mhm kilo newton. I see. But of course there's a first come down there From them. Take that so called this one. Fc is going towards the so called FcD and this one is coming towards this terrible. So these are the assumptions that go to that the direction. So let's call this Fc happy because it's moving towards a big. Okay, so we consider submission of uh forces in the region to direction. Okay, they're going to arrive at consider we have that for the FcB. The fact is the only force there. Zero. So One of the forces zero. Silicon go ahead. You can call this equation question one. So, if we take submission of forces in the tourism to in the vertical direction. Okay? Yeah, they're going to arrive at You can see that we have 45 commuting coming down 45 kilometers. And we also have a love uh we have um FcD. Okay. F C D. F. C. D. Of see the Okay. All right. Equal to zero. So when you do that, you can see that you're going to arrive. You solve this where you're going to have your FCD to be equal to minus 45. Yeah. Killer Newton. Now that tells you that the nature of this force it is in congress on our conclusions. Okay. So because as you would see. Okay, so, we got in the nature of down on the regular force as well as in nature. Okay. All right, so we can continue with another joint. So let's go to the mess joint. So, we have a joint D. The first one is joined. C. Okay with joint Joint you can see so let's look at joint deep. So john D. Okay. Mhm. So, you have this force going up there. This is our 20 I mean, you Andy mm we have this force coming in. This is actually joined a force going out like this. So this force will call it because it's going to ask it quality, the detail here, They will call this force this p. two. Yeah. Which is equal to at this point starting keeping beauty. Yeah, he's given any questions and now you have this course this is F. D. C. Okay. All right. And there's enough force coming up like this. This is of baby. Okay, So you cannot take uh assumption of forces along the horizontal direction. Do that zero. I want to have Values like these 13 plus and the every A plus. Uh the B. Of course you can most 36 29 degrees sequel to zero. So what was we can just go ahead and look for solution of forces in the uh that's a cool direction. Look at the solution of forces in the So you can call this question three. Yeah, we have some other equations before. Okay, This one is an equation push on to. Okay, We already have a crucial one. So, if you saw this one, so for this one, submission of forces in the very cool direction. We have mhm. It will be F. D. C. It lost, I. M. D. B. Sign. Yeah, that's six point nine degrees. Yeah. Okay, You have that equal to zero. All right. When you stop these and you plug in your your MPC have already gotten before. Okay, somebody's remember that. We've gotten every see before. So you can you arrive at your f. d. b equal to 75 one Yes kilo routine. If you consider for this force is positive for so this is attention is on the attention, remember. Okay, for that particular member. Okay, So I've gotten three of the forces now Stayed on the job. Now if we use the question three, we are going to arrive plugging values and gotten into equation three. Okay, well, envelope FDP there we are going to arrive at F the to be equal to my nose 19. Kill a new team. And see the nature of this force is a compression. So we have been able to uh fine determine the magnitude of the members. Okay, reinforces in the members of the structure of the trust as well as Yeah, nature.

In this problem. Young smugglers for Tencent of the Bone Let it be Y t is equal to the stress by a strain, so just putting the value. I can write the express and I'd pipe into 10 to the power seven Newton permit Terri Square by 0.0 33 so it will be equal to 1.5 and 2 10 to the power 10 Newton per military square. Now the young models of compression of the bone can be written as y C is equal to stress. That is minus 4.5 into 10 to the power seven Newtons per meter square by strange that is minus 0.5 So I get the value Y C is equal to 19 to 10 to the power nine Newtons per meter square as our end

We're looking at structural analysis. I want to examine the magnitude as well as the nature of the forces in the indicated members of these uh structure. So to do this we apply the method of joints. Now let's look at the community point to start with uh F. Is. Okay, so look at your F. G. F. Have this force coming ladies and this other force. Now the forces should go out of the joint resumption. You don't F. Okay, symbols that our company naturally. So we have this force in the question 500 ivy at that point, that joint there this is. Uh huh. Oh, refugee from to an F. To G. Remember F. G. And F. Yeah. Has been good from joint after E. Actually force F. Have sex with. So if we take submission of forces in the horizontal direction to arrive at F. Mhm. F suffrage F. G. Yeah. Yeah. A social F. E minus. So you have. Yeah. G. Right. Sorry for the 3.1, yeah. Mhm. 23 .1 Degree equal to zero. So can also look at f assumption of forces in the vertical direction. So that to have this One management out of 500. Using a diagram. Yeah. For the joint most F. So it's with F. G. Sign three 0.1 degree. Mhm supporters, you know? Yeah. Okay, so you can, from this uh last equation here you can determine as Sophia F. G. A simple formula. So I was gonna give you 1800 and mm. You want $100 75. Mhm. We're in 74 mm. Yeah I you can see that this one is remember our nuts in chunks. We can decide from there. Get F. Source with F. D. It is in the first question there along with the X. R. Six horizontal direction. So we have this forced to be conduct on Russian. Mhm. Sorry. Remember to be honored compression. This number. Okay. Okay. So I have reason to be uh reports due While on to six three I. D. Yeah. Mhm. You can move forward and look after that is uh right on the joint. Uh F. Okay. So we're gonna look at U. N. G. Look at you college G. What we have this force coming like going out. All right. The joint. This is G. Yeah. Mhm. This is this angle is 39 is inclined to it's nine degrees. Okay. Sorry 30 36.9 degrees. So you can get this from the using the information you engage in the diagram. Okay. Get the anguish. This is false. This helps G. From going to Yeah. And this is F. So screwed jellyfish. Okay. Now take some action of forces in the walking and the who isn't a direction you're gonna have minus as such. The G. H. Yeah. Most Earth. Yeah. Software G. F. Yeah. And uh Mhm. Scientific seeks 0.9 degrees. Yeah mm. Quarter zero. So plugging in the value of S. Source treated G. F. You have S. Of jellyfish. Yeah jimmy. Yeah. Yeah. Mhm. Equal to 1 1 Shoes is 1000 1. 26 0.3. Yeah. I be no. Okay. Remember on the attention I was feeling now consider joint. Mhm. Yeah. Joint E. You little have mhm. G. E. Mm hmm. To have this force of it like this all these floors is our joint E. So this force is E. I'm just going to a G. Yeah this force coming like this James have so please he yes you're going to fish this one is the force it was going to study. This is so sweet. Yes. Going to F. M. P. And this force this year, naturally in the question. Give me any questions I. D. I. D. Mhm. Okay so you can look at submission of forces in the horizontal direction. If you do that you have like these two quarter zero we'll have minus F. Subscript E. Hash sign. Sorry I. E. D. E. D. Yeah minus so squeaks. Uh huh. Mhm. Of course. No because 53.1 that one is inclined to 3.1. So use the information given in the question to figure out the angle is inclined to 53.1. Okay. 53 Including 3°1 degree. So figure it out. Yeah 53.1 degree. Yeah. So you do not have this one to be yeah. Equal to plus F. D. F. You doing Okay So everything is a part of zero. So if you take some mention of the forces in the in the vertical direction? Anything you're going to have? Okay. Uh huh. Soften the hash S. E. Th century three. Your sister not baby one degree. Okay. Okay. And uh not really dad. Most of social E. G. When I was one of the 500 -1 out of every one is coming down. Mhm. 500. Okay. What is the a force that is going down there? So when you saw this one far from here you can just get your from this equation you and get your plugging in the value of essence with E. G. Which you've already got in our G. E. G. Anyone you can get your health social dish equal to 37 5 1.48 14 years I be 3000 out of 1.4 ivy. Okay you can see that is positive. Remember on that tension. No you can't help it. If you plug in values into uh other questions question that without dropped you can get your Eddie from the which is this equation in horizontal. Which for the process in your direction you want to have as a strategy equal to 3 3. Actually going to give us a negative value. Just tell us how you remember is on the compressive force. Yes. 16. My I. V. Okay. Mhm. Mhm. Right. Mhm. So it's understood to do you feel? Mhm. Yes. 69. Mhm. Mhm. Mhm. Crazy people sort of wonderful depression. Okay then we can come to a joint join G. Mhm. For guarantee. Mhm. Who have something that looks like this? Good. Mhm. Yeah. Have F. Source streets. D. The fish. Okay on this Argenti. Okay these are mm. Mhm. F. So sweet D. Mhm mm. This is also sweet. Mhm. The sea. This is 1- 500. What? AIP. Yeah coming down so that if you take sumption of forces in the horizontal direction. Mhm. Getting something that's real life anyway. Zero could the people of entertainment we're going to have minus srs with D. C. C. Yeah most and so ST deeply To the Quarter zero. Cool. Therefore we can get our apps avenue. These two forces they are equal when you bring the city to the last side. So you can have it to the court that the E. So which we have ever got into. 3 3 three threes 3378 78.6 nine ivy. Right. Yeah now we are having to be a member on that compression actually. So this one is required. He said required what are one of the members? Uh huh. Don't require any questions to the soul. So this question for F. So the D. C. S. A city that is the value that is the Montego divorce and a great job. Okay then if we take submission of forces in the let's go The racially hot dogs. We'll have Italy might want out of 500 mm the thing. Okay. Most f social dish. Mhm. Mhm. Reporter zero. So that s or Swedish million years Equal to the center of 500 completely. Mhm. I'd be we got sean. Yeah. It wasn't easy. Yeah. We can look at joint ish. Yeah. Look at john fish. Yeah. Mhm. They would arrive at forces. Foster background look like abnormally forces. This is his sh when you are considering Saudi forces should be going out. Yeah. Mhm. Yeah. Right. So this is also a british G. Okay. Mhm. This is F. South street. H. E. Mhm. Yeah. This is F. So sweet PhD. Mhm. No. Maybe everything. This is essence. Which fish sea. Okay. Going from HTC that's a fish. See and this is S. O surreal pish key. Yeah. No, if I the planet is. Yes. Absolutely issue. I. Okay. The angle there here is 53. Use the information given in the background. You can get that com group. What is that angle? This is six points like nine degrees. Yeah. This is 36.9°. This is 53 0.1. Mhm decrease. Mhm. Okay. So if you take some action of forces in the horizontal direction. It's a really vertical direction. No doubt. Mhm. Didn't arrive at minors. Mhm. Mhm. Have some streets A C. Mhm. Because 36. Okay. Mhm. What line degrees. My loss at the police station Just as you know uh Dark ground before the joint for this joint minus. Uh huh. Substrate H. E. Okay because 36 I'm 0.9 degrees. So we make excellence with he see the formula decided to the formula rather. Thank you. And plugging in values into. Yeah. Yeah. Probably our values rather it be five 5 6 5627. Mhm. 37 0.22 I. D. So it's a member on that compression demanded is actually why six 27.2. Yeah. Yeah. Yeah it's under compression. Yeah. Okay. So this is one of the valleys. That's find out they will can take assumption of forces in the horizontal direction. Okay. If you take sumption of forces in the horizontal direction right you're going to arrive at my nose F. H. C. Well of course side. So this is sign. Mhm. Mhm. The three point 9°. Sorry. 36 six points. That's the problem. 26. Yeah. With nine degrees. Okay. Okay. Yeah. Plus have some sweets this. Mhm. Yeah. Okay. Okay. Thank you Signed at 6.9°. The problem I think. Okay. Yeah mm. Mhm. Models F. So sweet dish. I Yeah. What's going on? Plus F. So sweet fish. Mhm. Secret Zoo. So I sort this out. Just solve this one out, plugging all the values that have been known already. We're gonna leave in F. H. Uh What we are looking for one of the members. Mhm. That want to get Amelia Forces forces in their in their nature. Mhm. You know I'm a cease 701. Mhm. 13 for. Mhm. I you remember all the attention that's for this particular uh number. So the members that required F. H. O. F. E. Of his C. Good. Mhm. These are the magnitude of the forces in them as well as their nature. Okay.


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