Question
Download Solution PDF4 मीटर लंबा और 80 मिमी व्यास का एक स्ट्रट है। स्ट्रट का एक सिरा स्थिर है जबकि दूसरा सिरा कब्ज़ा है। क्रिपलिंग लोड क्या होगा? [मान लें, E = 2 x 105 N/mm2, π3 = 31]
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंप्रत्यय:
एक सिरे पर स्थिर और दूसरे सिरे पर कब्ज़ा वाले स्ट्रट के लिए क्रिपलिंग लोड की गणना ऑयलर के सूत्र का उपयोग करके की जाती है: \( P = \frac{\pi^2 E I}{L_e^2} \)
जहाँ, \( L_e = \frac{L}{\sqrt{2}} \) इस सिरे की स्थिति के लिए।
दिया गया है:
L = 4 m = 4000 mm, d = 80 mm, E = 2 x 105 N/mm2, π3 = 31
गणना:
प्रभावी लंबाई, \( L_e = \frac{4000}{\sqrt{2}} = 2828.4 \, \text{mm} \)
जड़त्व आघूर्ण, \( I = \frac{\pi d^4}{64} = \frac{3.14 \times 80^4}{64} = 2010613 \, \text{mm}^4 \)
क्रिपलिंग लोड, \( P = \frac{\pi^2 \times 2 \times 10^5 \times 2010613}{(2828.4)^2} = 495142.4 \, \text{N} \approx 496 \, \text{kN} \)
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