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"text": " The variation of both radial as well as tangential stresses with distance from the periphery of the cavity has been shown. So, you can see that on x-axis we have plotted R by ... | EN_B00000_S03592_W000038.mp3 | [
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EN_B00000_S03592_W000039 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " And that is starting from 1. So, 1 corresponds to the location at the periphery of the tunnel because there r becomes equal to a and r by a ratio will become equal to 1. And t... | EN_B00000_S03592_W000039.mp3 | [
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EN_B00000_S03592_W000040 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " And on y axis we have sigma upon p. Now this sigma can be",
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EN_B00000_S03592_W000041 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " Radial stress or it can be tangential stress. So, what the various curves correspond to",
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EN_B00000_S03592_W000042 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " is that various values of this kappa and",
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EN_B00000_S03592_W000043 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " Different curves have been drawn. Kindly note that I have color coordinated here in this figure. For example, the first curve which corresponds to",
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EN_B00000_S03592_W000044 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " 0.2 times p of the yield stress. So, that means here in this case kappa is equal to 0.2 p.",
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EN_B00000_S03592_W000045 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " So, all the figure, all the plots with black color, they correspond to this first case, which is this plot and this plot.",
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EN_B00000_S03592_W000046 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " Then the solid lines, they are representing the radial stresses and the dotted ones, they are representing the tangential stresses. Similarly, this red color is for the yield s... | EN_B00000_S03592_W000046.mp3 | [
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EN_B00000_S03592_W000047 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000048 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " So the first 3 cases, 1, 2 and 3, these correspond to when the yield stress is 20%, 30% and 40% of the in-situ stress respectively.",
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EN_B00000_S03592_W000049 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " And in all the three cases, there is going to be the development of plastic zone around the periphery of the cavity. I explained you that when the",
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EN_B00000_S03592_W000050 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " Yield stress becomes equal to the in situ stress. In that case, there will not be any development of the plastic zone around the cavity.",
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EN_B00000_S03592_W000051 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " When it has 20%, 30% and 40% of the in situ stress, then in that case, there is going to be the development of the plastic zone. So, you should keep these things in mind. So, ... | EN_B00000_S03592_W000051.mp3 | [
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EN_B00000_S03592_W000052 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " See, this is increasing from 0.2 p to 0.4 p. What happens to the radius of elasto-plastic boundary?",
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EN_B00000_S03592_W000053 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000054 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000055 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " Now you know what is the expression for c, I just now explained you. So, we can substitute different values of h in that expression and find out the corresponding value of c b... | EN_B00000_S03592_W000055.mp3 | [
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EN_B00000_S03592_W000056 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " So see, in case of the first one, where you are getting C by A as 7.39.",
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EN_B00000_S03592_W000057 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " While when this yield stress increases from 20% to 30% of the in-situ stress, that is the case 2. In that case, it is reducing and it is becoming 3.21. Any further increase",
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EN_B00000_S03592_W000058 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"speaker": "EN_B00000_S03592",
"text": " Say 240% of the in-situ stress and you see here the radius of the elasto-plastic boundary",
"wav": "EN_B00000/EN_B00000_S03592/mp3/EN_B00000_S03592_W000058.mp3"
} | EN_B00000_S03592_W000058.mp3 | [
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EN_B00000_S03592_W000059 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"duration": 6.316,
"id": "EN_B00000_S03592_W000059",
"language": "en",
"speaker": "EN_B00000_S03592",
"text": " or the extent of the plastic zone, it reduces to 2.12.",
"wav": "EN_B00000/EN_B00000_S03592/mp3/EN_B00000_S03592_W000059.mp3"
} | EN_B00000_S03592_W000059.mp3 | [
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EN_B00000_S03592_W000060 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
"dnsmos": 3.2626,
"duration": 19.015,
"id": "EN_B00000_S03592_W000060",
"language": "en",
"speaker": "EN_B00000_S03592",
"text": " So, this is what you can get from those expressions. You just simply substitute various values of h and you will be able to obtain this c by a values for any value of h. So, t... | EN_B00000_S03592_W000060.mp3 | [
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EN_B00000_S03592_W000061 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"duration": 8.812,
"id": "EN_B00000_S03592_W000061",
"language": "en",
"speaker": "EN_B00000_S03592",
"text": " What happens to the stress concentration factor? So, when I say periphery of the cavity, this means what? R by A equal to 1,",
"wav": "EN_B00000/EN_B00000_S03592/mp3/EN_B0000... | EN_B00000_S03592_W000061.mp3 | [
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EN_B00000_S03592_W000062 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"language": "en",
"speaker": "EN_B00000_S03592",
"text": " So, I will now focus on this axis where r by a equal to 1.",
"wav": "EN_B00000/EN_B00000_S03592/mp3/EN_B00000_S03592_W000062.mp3"
} | EN_B00000_S03592_W000062.mp3 | [
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EN_B00000_S03592_W000063 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
"dnsmos": 3.1917,
"duration": 16.418,
"id": "EN_B00000_S03592_W000063",
"language": "en",
"speaker": "EN_B00000_S03592",
"text": " This stress concentration factor which has been plotted as sigma by p on y-axis, it increases from 0.4 to 0.8 with increase in the ratio of yield shear stress to in situ stres... | EN_B00000_S03592_W000063.mp3 | [
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EN_B00000_S03592_W000064 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
"dnsmos": 3.4309,
"duration": 9.236,
"id": "EN_B00000_S03592_W000064",
"language": "en",
"speaker": "EN_B00000_S03592",
"text": " And this corresponds to 0.3 p situation and this corresponds to 0.4 p situation. So,",
"wav": "EN_B00000/EN_B00000_S03592/mp3/EN_B00000_S03592_W000064.mp3"
} | EN_B00000_S03592_W000064.mp3 | [
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EN_B00000_S03592_W000065 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"duration": 7.458,
"id": "EN_B00000_S03592_W000065",
"language": "en",
"speaker": "EN_B00000_S03592",
"text": " See here at r by a equal to 1 corresponding to the first case,",
"wav": "EN_B00000/EN_B00000_S03592/mp3/EN_B00000_S03592_W000065.mp3"
} | EN_B00000_S03592_W000065.mp3 | [
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EN_B00000_S03592_W000066 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"id": "EN_B00000_S03592_W000066",
"language": "en",
"speaker": "EN_B00000_S03592",
"text": " This value is 0.4 and for the third case, this value is 0.8. So, we can say that",
"wav": "EN_B00000/EN_B00000_S03592/mp3/EN_B00000_S03592_W000066.mp3"
} | EN_B00000_S03592_W000066.mp3 | [
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EN_B00000_S03592_W000067 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000068 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " Although the stress concentration factor at the boundary of the opening is less than 1. So, boundary of the opening is this R by A equal to 1. So, you see that for all the stre... | EN_B00000_S03592_W000068.mp3 | [
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EN_B00000_S03592_W000070 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000071 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000072 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " of the situation beyond the elasto-plastic boundary in each of the respective case. That means in the first case, I need to take a look beyond this",
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EN_B00000_S03592_W000073 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " In the second case, beyond this and the third case beyond this. This is the first case, second case and then the third case.",
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EN_B00000_S03592_W000074 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " Now you see here, if you take the third case, see this orange curve is always below this blue curve, which corresponds to",
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EN_B00000_S03592_W000075 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000076 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000077 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000078 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000080 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000082 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000083 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000084 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000085 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000086 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000087 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000090 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000091 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000092 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000093 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000094 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000096 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000098 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000100 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000101 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000102 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000103 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000104 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " circular tunnel. This means that both coincides. But then we have seen that when h equal to 0.2, 0.3 and 0.4,",
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EN_B00000_S03592_W000105 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000106 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000107 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " non-dimensional radius of the elasto-plastic boundary. So, this is how we can find out the elasto-plastic stress distribution around the circular tunnel which is excavated in t... | EN_B00000_S03592_W000107.mp3 | [
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EN_B00000_S03592_W000108 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03592_W000109 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " So what we will do is we will take up in the next class another analysis where we will assume that the rock follows Mohr-Coulomb failure criterion. Although the analysis is go... | EN_B00000_S03592_W000109.mp3 | [
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EN_B00000_S03592_W000110 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " We will get some interesting expressions for the stress distribution.",
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EN_B00000_S03592_W000111 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " Around the circular tunnel excavated in the rock which is following Mohr-Coulomb failure criterion. Thank you very much.",
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EN_B00000_S03602_W000000 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " Alright, round three for Ryan. Can Ryan beat Mommy and Daddy? Let's see. What you got next there, Daddy?",
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EN_B00000_S03602_W000001 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " Alright, so here's all the ones you can collect. These are cool. These are new ones. These are a different series. For all of them I want Venom. You want Venom? Okay.",
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EN_B00000_S03612_W000000 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " All right, let's talk about the filter method. The filter method creates a new array with all elements that pass a test provided by a function. We can filter out elements from... | EN_B00000_S03612_W000000.mp3 | [
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EN_B00000_S03612_W000001 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03612_W000002 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " And there is one parameter, element. This will create a new array. We will return, and now we need some tests to filter out any elements that don't meet the criteria. Our test... | EN_B00000_S03612_W000002.mp3 | [
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EN_B00000_S03612_W000003 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " Element is greater than or equal to 18. So we will use this check age function as a callback within the filter method. This will create a new array. So let's define that. Let a... | EN_B00000_S03612_W000003.mp3 | [
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EN_B00000_S03612_W000004 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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"text": " Ages, the original array, dot, filter,",
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EN_B00000_S03612_W000005 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03632_W000005 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03642_W000001 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03642_W000002 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03652_W000000 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03662_W000000 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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EN_B00000_S03662_W000001 | hf://datasets/amphion/Emilia-Dataset@bcaad00d13e7c101485990a46e88f5884ffed3fc/EN/EN-B000002.tar | {
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