STRUCTURAL ANALYSIS - II

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ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš

ืžื™ื“ืข ืขืœ ื”ืืคืœื™ืงืฆื™ื” ื”ื–ื•

ื ื™ืชื•ื— ืžื‘ื ื™:

ื”ืืคืœื™ืงืฆื™ื” ื”ื™ื ืžื“ืจื™ืš ื—ื™ื ืžื™ ืžืœื ืฉืœ ื ื™ืชื•ื— ืžื‘ื ื™ื ื”ืžื›ืกื” ื ื•ืฉืื™ื ื—ืฉื•ื‘ื™ื, ื”ืขืจื•ืช ื•ื—ื•ืžืจื™ื ื‘ืงื•ืจืก.

ืืคืœื™ืงืฆื™ื” ืฉื™ืžื•ืฉื™ืช ื–ื• ืžืคืจื˜ืช 110 ื ื•ืฉืื™ื ืขื ื”ืขืจื•ืช ืžืคื•ืจื˜ื•ืช, ื“ื™ืื’ืจืžื•ืช, ืžืฉื•ื•ืื•ืช, ื ื•ืกื—ืื•ืช ื•ื—ื•ืžืจ ืงื•ืจืก, ื”ื ื•ืฉืื™ื ืžืคื•ืจื˜ื™ื ื‘-5 ืคืจืงื™ื. ื”ืืคืœื™ืงืฆื™ื” ื—ื™ื™ื‘ืช ืœื”ื™ื•ืช ืœื›ืœ ื”ืกื˜ื•ื“ื ื˜ื™ื ื•ื”ืžืงืฆื•ืขื ื™ื ื‘ืžื“ืขื™ ื”ื”ื ื“ืกื”.

ื”ืืคืœื™ืงืฆื™ื” ืžื™ื•ืขื“ืช ืœืœืžื™ื“ื” ืžื”ื™ืจื”, ืชื™ืงื•ื ื™ื, ื”ืคื ื™ื•ืช ื‘ื–ืžืŸ ืžื‘ื—ื ื™ื ื•ืจืื™ื•ื ื•ืช.
ืืคืœื™ืงืฆื™ื” ื–ื• ืžื›ืกื” ืืช ืจื•ื‘ ื”ื ื•ืฉืื™ื ื”ืงืฉื•ืจื™ื ื•ื”ืกื‘ืจ ืžืคื•ืจื˜ ืขื ื›ืœ ื”ื ื•ืฉืื™ื ื”ื‘ืกื™ืกื™ื™ื.

ื—ืœืง ืžื”ื ื•ืฉืื™ื ื”ืžื›ื•ืกื™ื ื‘ืืคืœื™ืงืฆื™ื” ื”ื:

1. ืคื™ืชื•ื— ื ื™ืชื•ื— ืคืœืกื˜ื™
2. ืคืจืฉื ื•ืช ืฉืœ ืžื˜ืจื™ืฆืช ืงืฉื™ื—ื•ืช
3. ืžื˜ืจื™ืฆืช ืงืฉื™ื—ื•ืช ืืœืžื ื˜ ืžืกื‘ืš
4. ื”ืงื“ืžื”
5. ื”ืžืฉืคื˜ ื”ืจืืฉื•ืŸ ืฉืœ ืžื•ื”ืจ (Mohr I)
6. ื”ืžืฉืคื˜ ื”ืฉื ื™ ืฉืœ ืžื•ื”ืจ (Mohr II)
7. ื™ื™ืฉื•ื ืœืงื‘ื™ืขืช ืžื‘ื ื™ื
8. ืžืฆื™ืืช ืกื˜ื™ื•ืช
9. ื™ื™ืฉื•ื ืœืžื‘ื ื™ื ื‘ืœืชื™ ืžื•ื’ื“ืจื™ื
10. ืžืฆื ืืช ื”ืžื™ืงื•ื ืฉืœ ื”ืกื˜ื™ื™ื” ื”ืžืงืกื™ืžืœื™ืช
11. ืงื•ืจื•ืช ืจืฆื™ืคื•ืช: ืžื‘ื•ื
12. ื ื™ืชื•ื— ืงื•ืจื•ืช ืจืฆื™ืคื•ืช
13. ืฉื™ืœื•ื‘ ืžื•ืžื ื˜ ืขืงื‘ ืชื’ื•ื‘ื•ืช
14. ืงื• ืœื—ืฅ ืขืงื‘ ื›ื•ื— ืœื—ืฅ
15. ืฉื™ื˜ื” ืฉืœ โ€‹โ€‹ื“ืคื•ืจืžืฆื™ื” ืขืงื‘ื™ืช: ืžื•ืฉื’ ื‘ืกื™ืกื™
16. ื‘ื—ื™ืจืช ืžื‘ื ื™ื ืฉืคื•ืจืกืžื•
17. ืžืฉื•ื•ืื•ืช ืชืื™ืžื•ืช ืœืžืงืจื” ื›ืœืœื™
18. ื•ืงื˜ื•ืจ ืฉืœ ืชื ืื™ื ืงื™ื ืžื˜ื™ื™ื
19. ืฉื™ื˜ื” ืฉืœ โ€‹โ€‹ืžืฉื•ื•ืื•ืช ืฉื™ืคื•ืข-ืกื˜ื™ื™ื”
20. ื—ื™ืฉื•ื‘ ืฉืœ ืจื’ืขื™ื ืงื‘ื•ืขื™ื
21. ืฉื™ื˜ืช ื”ืคืฆืช ื”ืจื’ืขื™ื
22. ื’ื•ืจื ื”ืคืฆื”
23. ืฉืœื‘ื™ื ื”ืžืขื•ืจื‘ื™ื ื‘ืฉื™ื˜ืช ื”ืคืฆืช ืจื’ืขื™ื
24. Strain Energy
25. ืงื•ืจื•ืช
26. ื ื™ืชื•ื— ืงืฉืช ื“ื•-ืฆื™ืจื™ืช
27. ื“ื™ืื’ืจืžืช ืงื• ื”ืฉืคืขื”
28. ืงืฉืช ื“ื• ืฆื™ืจ ืกื™ืžื˜ืจื™ืช
29. ืืคืงื˜ ื˜ืžืคืจื˜ื•ืจื”
30. ื›ื•ื— ืžื•ืžื ื˜ ื•ื“ื—ืฃ ื‘ืงื™ื“ื•ื—
31. ืžื•ื“ืœ ืงื™ื“ื•ื—
32. ื”ืฆื’ืช ื’ืฉืจื™ื ืชืœื•ื™ื™ื
33. ืžืขืจื›ืช ืžื‘ื ื™ืช
34. ืชื›ื ื•ืŸ ื’ืฉืจ ืชืœื•ื™
35. ืขื™ืฆื•ื‘ ืขืžื™ื“ ื‘ืคื ื™ ืจื•ื—
36. ืขื™ืฆื•ื‘ ืงื˜ืข ื›ื‘ืœื™ื
37. ืžื“ื™ื“ืช ืฉื“ื” ื•ืฆื™ืคื•ื™ื™ื
38. ื”ืงื“ืžื” ืฉืœ ืงื•ืจืช ืงืฉื™ื—
39. ืขื™ืฆื•ื‘ ืฉืœ ืงืฆื” ื”ืงื•ืจื”
40. ื˜ื›ื ื•ืœื•ื’ื™ื™ืช ื™ื™ืฆื•ืจ
41. ื˜ื›ื ื•ืœื•ื’ื™ื™ืช ื”ืงืžื”
42. ืฉื™ื˜ืช ื–ืงืคืช ื›ืœ ื”ืฆื™ืจ
43. ืื™ื ื˜ืจืืงืฆื™ื” ืฉืœ ืจื’ืข-ื’ื–ื™ืจื” ืฉืœ ืงื•ืจื•ืช ื ื•ืงืฉื•ืช ืœืื•ืจืš
44. ื”ื•ืจืื•ืช ืขื™ืฆื•ื‘ EUROCODE
45. FINITE ELEMENT MODELING
46. โ€‹โ€‹ืžื—ืงืจ ืืœืžื ื˜ื™ื ืกื•ืคื™ื™ื ืœื ืœื™ื ืืจื™ื™ื
47. ืฆื•ืจื” ื—ืœื•ืคื™ืช ืฉืœ ืžืฉื•ื•ืื•ืช ืกื˜ื™ื™ืช ืฉื™ืคื•ืข
48. ืืžื ืช ื—ืชื™ืžื”
49. ื—ื™ืฉื•ื‘ ืฉืœ ืจื’ืขื™ื ืงื‘ื•ืขื™ื
50. ืžืฉื•ื•ืื•ืช ืกื˜ื™ื™ืช ืฉื™ืคื•ืข ืขื‘ื•ืจ ื—ื‘ืจื™ื ืžื™ื•ื—ื“ื™ื
51. ืžืฉื•ื•ืื•ืช ืกื˜ื™ื™ืช ืฉื™ืคื•ืข ืขื‘ื•ืจ ื—ื‘ืจื™ื ืžื™ื•ื—ื“ื™ื
52. ืื™ื‘ืจ ืกื™ืžื˜ืจื™ ื•ืื™ื‘ืจ ืื ื˜ื™ ืกื™ืžื˜ืจื™
53. ื ื™ืชื•ื— ืžื‘ื ื™ื ืขืœ ื™ื“ื™ ืžืฉื•ื•ืื•ืช ืฉื™ืคื•ืข-ืกื˜ื™ื™ื”
54. ืกื™ื•ื ืกื™ื‘ื•ื‘ื™ื ื•ื–ื•ื•ื™ืช ื ื“ื ื•ื“ ืฉืœ ืื™ื‘ืจื™ื
55. ืงื‘ื™ืขืช ื–ื•ื•ื™ืช ื”ื ื“ื ื•ื“ ืœืคื™ ืžืจื›ื– ืกื™ื‘ื•ื‘ื™ื ืžื™ื™ื“ื™ (ICR)
56. ื”ื’ื“ืจ ืžืฉื•ื•ืื•ืช ืฉื™ื•ื•ื™ ืžืฉืงืœ
57. ืžืฉื•ื•ืื•ืช ืฉื™ื•ื•ื™ ืžืฉืงืœ ื”ืงืฉื•ืจื•ืช ืœื“ืจื’ื•ืช ื ื“ื ื•ื“ ืฉืœ ื—ื•ืคืฉ
58. ืžืฉื•ื•ืื•ืช ืฉื™ื•ื•ื™ ืžืฉืงืœ ื”ืงืฉื•ืจื•ืช ืœื“ืจื’ื•ืช ื ื“ื ื•ื“ ืฉืœ ื—ื•ืคืฉ

ืžืืคื™ื™ื ื™ื :
* ื ื•ืฉืื™ื ืฉืœืžื™ื ืžื‘ื—ื™ื ืช ืคืจืง
* ืคืจื™ืกืช ืžืžืฉืง ืžืฉืชืžืฉ ืขืฉื™ืจื”
* ืžืฆื‘ ืงืจื™ืื” ื ื•ื—
* ื ื•ืฉืื™ ื‘ื—ื™ื ื” ื—ืฉื•ื‘ื™ื
* ืžืžืฉืง ืžืฉืชืžืฉ ืคืฉื•ื˜ ืžืื•ื“
* ืžื›ืกื” ืืช ืจื•ื‘ ื”ื ื•ืฉืื™ื
* ืงืœื™ืง ืื—ื“ ืงื‘ืœ ืงืฉื•ืจ ื›ืœ ื”ืกืคืจ
* ืชื•ื›ืŸ ืžื•ืชืื ืœื ื™ื™ื“
* ืชืžื•ื ื•ืช ืžื•ืชืืžื•ืช ืœื ื™ื™ื“

ืืคืœื™ืงืฆื™ื” ื–ื• ืชื”ื™ื” ืฉื™ืžื•ืฉื™ืช ืœืขื™ื•ืŸ ืžื”ื™ืจ. ื ื™ืชืŸ ืœืกื™ื™ื ืืช ื”ืขื“ื›ื•ืŸ ืฉืœ ื›ืœ ื”ืžื•ืฉื’ื™ื ืชื•ืš ืžืกืคืจ ืฉืขื•ืช ื‘ืืžืฆืขื•ืช ื”ืืคืœื™ืงืฆื™ื” ื”ื–ื•.

ื‘ืžืงื•ื ืœืชืช ืœื ื• ื“ื™ืจื•ื’ ื ืžื•ืš ื™ื•ืชืจ, ืื ื ืฉืœื— ืœื ื• ืืช ื”ืฉืืœื•ืช, ื”ื‘ืขื™ื•ืช ืฉืœืš ื•ืชืŸ ืœื ื• ื“ื™ืจื•ื’ ื•ื”ืฆืขื” ื—ืฉื•ื‘ื™ื ื›ื“ื™ ืฉื ื•ื›ืœ ืœืฉืงื•ืœ ื–ืืช ืขื‘ื•ืจ ืขื“ื›ื•ื ื™ื ืขืชื™ื“ื™ื™ื. ื ืฉืžื— ืœืคืชื•ืจ ืœื›ื ืื•ืชื.
ืขื“ื›ื•ืŸ ืื—ืจื•ืŸ ื‘ืชืืจื™ืš
26 ื‘ืื•ื’ืณ 2025

ืื‘ื˜ื—ืช ื ืชื•ื ื™ื

ื›ื“ื™ ืœืฉืžื•ืจ ืขืœ ื”ื‘ื˜ื™ื—ื•ืช ืฆืจื™ืš ืงื•ื“ื ื›ืœ ืœื”ื‘ื™ืŸ ืื™ืš ื”ืžืคืชื—ื™ื ืื•ืกืคื™ื ื•ืžืฉืชืคื™ื ืืช ื”ื ืชื•ื ื™ื ืฉืœืš. ื ื•ื”ืœื™ ืคืจื˜ื™ื•ืช ื”ื ืชื•ื ื™ื ื•ืื‘ื˜ื—ืช ื”ื ืชื•ื ื™ื ืขืฉื•ื™ื™ื ืœื”ืฉืชื ื•ืช ื‘ื”ืชืื ืœืฉื™ืžื•ืฉ, ืœืื–ื•ืจ ื•ืœื’ื™ืœ ื”ืžืฉืชืžืฉ. ื”ืžืคืชื— ืกื™ืคืง ืืช ื”ืžื™ื“ืข ื”ื–ื” ื•ื”ื•ื ืขืฉื•ื™ ืœืขื“ื›ืŸ ืื•ืชื• ืžื“ื™ ืคืขื.
ืœื ืžืชื‘ืฆืข ืฉื™ืชื•ืฃ ื ืชื•ื ื™ื ืขื ืฆื“ื“ื™ื ืฉืœื™ืฉื™ื™ื
ื”ื ืชื•ื ื™ื ืžื•ืฆืคื ื™ื ื‘ื–ืžืŸ ื”ื”ืขื‘ืจื”
ืื™ ืืคืฉืจ ืœืžื—ื•ืง ืืช ื”ื ืชื•ื ื™ื

ืชืžื™ื›ื” ื‘ืืคืœื™ืงืฆื™ื”

ืžื™ื“ืข ืขืœ ืžืคืชื—ื™ ื”ืืคืœื™ืงืฆื™ื”
Bhanuben B. Thummar
georgydoki@gmail.com
India
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โ€ซืขื•ื“ ืžื‘ื™ืช Engineering Wale Babaโ€Žโ€