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State the reason why you assume Stresses are within the elastic limit for deriving flexural formula _= [5]...

Question

State the reason why you assume Stresses are within the elastic limit for deriving flexural formula _= [5]

State the reason why you assume Stresses are within the elastic limit for deriving flexural formula _= [5]



Answers

Define elastic limit and elastic fatigue.

In this video, we are going to be dealing with the concept of elasticity of demand. And for those of you that need a quick refresher, we know letter elasticity of demand simply represents how a percent change and the price of a good or service can affect the consumers demand for that good or service. We also know that are forgiven our demand function in the form X. Is equal to F. P. Where p is our price that are elasticity of demand. Or our FFP. If you want to read it over here to the side, RFP is going to be equal to negative peer times of prime of P over F. F. P. Yeah, we also know that if RFP is greater than one, our demand is going to be elastic. If it's equal to one argument is going to be unitary. And that if it's an elastic RFP is going to be less than one. So in this question, what they've done is that they've given us our demand function in the form X. Is equal to F. F. P. So let's work for us. It is X. is equal to negative 5/4 p plus 20. And we've seen that they have also given us our p value of 10. So, a price of $10. What they want us to do here is to use our elasticity of demand function and to determine if our demand is elastic unitary or an elastic at RP. So that's what we're going to do. We're going to start off with finding R F. P. And well that that's going to be equal to R. P times are f prime of P. So if you want to find our prime P. Over here to the side, we know that that's going to be the derivative of what's found over here. So if we're going to take out our derivative toolkit, we know that if we follow the sum rule and our constant multiple rules, mhm. The derivative of this first part negative 5/4 p Is simply going to be negative 5/4. We also know that the derivative of R20 is going to lead us with zero. So there's no need to carry that over. Yeah. So this is our F prime of P. What we can do is plug it into RFP, This will be p times negative 5/4 and this will be over F F P. Which we know is negative 5/4 P plus 20. Yeah. So from here, what we can do is we can go ahead and plug in R P. Mhm. So this turns into e of 10 and this is going to be negative of 10 times negative 5/4 over and I get a 5/4 times 10 plus 20. Mhm. If you evaluate this and simplify it, you see that what we're going to be left with over here is our 5/3 And that since this is equal to about 1.67. We can see that our EP. Or f. 10. Mhm. Okay Is going to be greater than one and because of this it's going to mean that our demand is elastic. So if you want to write out our conclusion statement, you could just write that therefore demand. Yeah. Mhm. Is elastic. Okay. Okay. At A price of $10. Yeah. And if you wanted to show you a little proof here, We can write down that you have 10 is equal to Approximately equal to 1.67 And that this is greater than one and there we have it.

As we know that ratio of stress is to strain the issue of history's buddy. The strain is equal to always constant, always bunch. Then, if the stress is increased, if each trace each increased, this train will also increase. The strain Villa also increase so that they're the ratio remains constant so that their ratio remains constant. So according to the option option B, it correct answer for this problem.

So I look different in this question we need to find last week energy store per unit volume in a stretch work. So as we know last week energy energy per unit volume. There's been by two stress and good strength. Because we have a graph like this a straight line in his stress strained relations because stress is proportional to strain by Hook's law. Right? So this nation we know the line will be state. So the energy there's So it has been my two basin to hide when my distress into strength. Right? And we know very well that spain recall school stress appointment. That was why is James Madison's does their own strength? So we will put it here stress and strain is stress up one way. Thanks stressing square according to. Right. So this will you find an answer and we can match with the options And we will see uh It messes with option B, option visible. Right answer. So the derogation for this. We can also verify despite uh dimensional analysis and the volume is made review of the inner city uh America the -2 into it. Right? So that's it. Option is correct. And this is the finance. Thank you

In the question it is given for each demand. The question compute the elasticity of demand and determine whether the demand is elastic, unitary or an elastic. Here, the question is that X equals two minus five by four p plus 20. And where the P. Well us 10. So now moving towards the solution for the given equation and the value of P. We have to find the derivative X equals two. F. P. So X equals two. F. F P will be equal to minus five by four P plus 20 so F dash P will be equal to minus five by four. Now the elasticity of the demand is given by E. Of P, which is given by minus P and two half dash P by F P. So using this formula, uh we can evaluate it now as he of 10, that is minus 10 into minus five by four by 20 minus five by four and 2 10. So solving this, you will get your answer as five by three. Now, since Your e. of 10 is greater than one, so that demand is elastic. Thank you.


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