यदि एक पतले बेलन में वलय प्रतिबल (हूप स्ट्रेस) = 40 MPa और अनुदैर्ध्य प्रतिबल = 20 MPa है, तो उत्पन्न अधिकतम निरपेक्ष अपरूपण प्रतिबल का मान क्या होगा?

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RRB JE ME 22 Apr 2025 Shift 1 CBT 2 Official Paper
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  1. 10 MPa
  2. 60 MPa
  3. 30 MPa
  4. 20 MPa

Answer (Detailed Solution Below)

Option 4 : 20 MPa
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संप्रत्यय:

आंतरिक दाब के अधीन एक पतली दीवार वाले बेलन में, दीवार पर दो मुख्य प्रतिबल कार्य करते हैं: वलय प्रतिबल और अनुदैर्ध्य प्रतिबल।

दिया गया है:

  • वलय प्रतिबल, σh = 40 MPa
  • अनुदैर्ध्य प्रतिबल, σl = 20 MPa
  • त्रिज्यीय प्रतिबल = 0 MPa (पतले बेलनों में नगण्य)

अधिकतम निरपेक्ष अपरूपण प्रतिबल का सूत्र:

\(\tau_{\text{max}} = \frac{1}{2}(σ_{\text{max}} - σ_{\text{min}})\)

गणना:

\(\tau_{\text{max}} = \frac{1}{2}(40 - 0) = 20~\text{MPa}\)

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