विस्तार लंबाई 4 m का एक साधारण रूप से समर्थित बीम मध्य विस्तार में 8 kN के संकेंद्रित भार का वहन करता है, अधिकतम बंकन आघूर्ण का मान क्या है?

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  1. 8 kN.m
  2. 16 kN.m
  3. 32 kN.m
  4. 128 kN.m

Answer (Detailed Solution Below)

Option 1 : 8 kN.m
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SSC JE ME 25 Jan 18 Evening Uploading.docx   Shraddha 10

RA + RB = P      ---(1)

∑MB = 0

\({R_A} \times L - P \times \frac{L}{2} = 0\)

\({R_A} = \frac{P}{2}\)

\({R_B} = \frac{P}{2}\)

बंकन आघूर्ण उस बिंदु पर अधिकतम होगा जिस पर अपरूपण बल अपना चिह्न बदलता है।

तो x = L/2 की दूरी पर बंकन आघूर्ण निम्न है:

\({M_{\frac{L}{2}}} = {R_A}\frac{L}{2} = \frac{{PL}}{4}\)

SSC JE ME Strength of Material Part test (1-35) images Q2

गणना:

दिया हुआ:

P = 8 kN, L = 4 m

अधिकतम बंकन आघूर्ण, \({M} = \frac{PL}{4}\)

\({M} = \frac{8\times 4}{4}=8~kN.m\)

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