Question
Download Solution PDFठोस शाफ्ट के समान अनुप्रस्थ-काट क्षेत्र का एक खोखला शाफ्ट __________संचरित करेगा।
Answer (Detailed Solution Below)
Detailed Solution
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चूँकि अनुप्रस्थ-काट का क्षेत्र समान है,
\(\frac{\pi }{4}\left( {d_1^2 - d_2^2} \right) = \frac{\pi }{4}d_s^2\)
\(\therefore d_1^2 - d_2^2 = d_s^2\)
\(\frac{τ }{r} = \frac{T}{J} = \frac{{G\theta }}{L}\)
\(T=\frac{τJ }{r}\)
अब बलाघूर्ण ∝ ध्रुवीय आघूर्ण
\(\therefore \frac{{{T_h}}}{{{T_s}}} = \frac{{\frac{\pi }{{32}}\left( {d_1^4 - d_2^4} \right)}}{{\frac{\pi }{{32}}\left( {d_s^4} \right)}} = \frac{{d_1^4 - d_2^4}}{{d_s^4}}= \frac{{(d_1^2 - d_2^2)}{(d_1^2 + d_2^2)}}{{d_s^4}}\)
\(\frac{{{T_h}}}{{{T_s}}} = \frac{{d_1^2 + d_2^2}}{{d_s^2}}\)
दी गई स्थिति के लिए ‘d1’, ‘ds’ से हमेशा अधिक होगा, अतः \(\frac{{{T_h}}}{{{T_s}}} > 1\)Last updated on Mar 27, 2025
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