अनुप्रस्थ फिलेट वेल्डेड संधि में वेल्ड का आकार किसके बराबर होता है?

This question was previously asked in
ISRO URSC Technical Assistant Mechanical 24 March 2019 Official Paper
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  1. 0.5 × वेल्ड का कंठ
  2. वेल्ड का कंठ
  3. √2 × वेल्ड का कंठ
  4. 12 × वेल्ड का कंठ

Answer (Detailed Solution Below)

Option 3 : √2 × वेल्ड का कंठ
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स्पष्टीकरण:

अनुप्रस्थ फिलेट​ वेल्ड:

GATE ME MD 2 Madhu images Q6a

माना कि t कंठ लंबाई और h वेल्ड की मोटाई है।

\(t={h\over (cos⁡ θ+sin⁡\theta )}\)

Ps = P sin θ

\(\begin{array}{l} \tau = \frac{{{P_s}\left( {\sin \theta + \cos \theta } \right)}}{{hl}} = \frac{{P\sin \theta \left( {\sin \theta + \cos \theta } \right)}}{{hl}}\\ \frac{{\partial \tau }}{{\partial \theta }} = 0 \Rightarrow \theta = 67.5^\circ \end{array}\)

GATE ME MD 2 Madhu images Q6b

अनुप्रस्थ फिलेट वेल्ड के लिए अधिकतम अपरुपण प्रतिबल वाले समतल की स्थिति θ = 67.5 ° है।

\(​​t={h\over (cos⁡θ+sin⁡ϑ )}\)

उपरोक्त समीकरण में \(θ=67.5\) रखने पर

हमें मिलता है

\(t={h\over (cos⁡67.5+sin⁡67.5 )}\)

\(t={h\over1.3065}\)

\(h=1.3065 t\)

\(h≈ √2 t\)

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