एक मिट्टी के नमूने को 100 kN/m2 के सीमित दबाव पर 200 kN/m2 के विचलन प्रतिबल के तहत एक त्रिअक्षीय परीक्षण में विफल किया गया। नमूने के लिए, यदि सीमित दबाव 200 kN/m2 होता, तो विफलता पर विचलन प्रतिबल क्या होता? मान लें कि c = 0 है।

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SSC JE Civil 05 Jun 2024 Shift 1 Official Paper - 1
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  1. 600 kN/m2
  2. 400 kN/m2
  3. 100 kN/m2
  4. 500 kN/m2

Answer (Detailed Solution Below)

Option 2 : 400 kN/m2
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अवधारणा:

विफलता पर मुख्य और लघु मुख्य प्रतिबल के बीच संबंध मोहर-कूलम्ब विफलता मानदंड के आधार पर:

σ1=σ3tan2(45+ϕ2)+2Ctan(45+ϕ2)

σ3=σ1tan2(45ϕ2)2Ctan(45ϕ2)

गणना:

σ3 = कोष्ठिका दबाव = 100 kPa

σ1= कोष्ठिका दबाव + विचलन प्रतिबल = 100 + 200 = 300 kPa

c = 0

σ1=σ3tan2(45+ϕ2)+2Ctan(45+ϕ2)

300=100(1)+2C(1)

C=100 kN/m²

शुष्क रेत के लिए, C = 0

300=100tan2(45+ϕ2)+0

ϕ = 30o

यदि सीमित दबाव 200 kN/m2 है तो,

σ3f=σ1ftan2(45ϕ2)2Ctan(45ϕ2)

200=σ1ftan2(45302)0

σ1f=600kN/m2

विचलन प्रतिबल = 600-200 = 400 kN/m²

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