Irrigation engineering and water resources valuable formulas

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Very much helpful for those candidates who are preparing for competitive examinations.

  1. 𝑑=𝑦𝑓log𝑒(π‘„π‘„βˆ’π‘“π΄)
  2. π΄π‘šπ‘Žπ‘₯=𝑄𝑓
  3. 𝑆𝐴𝑅=π‘π‘Ž+βˆšπΆπ‘Ž+++𝑀𝑔++2
  4. Ξ”=8.64𝐡𝐷
  5. 𝐴=𝑄𝐷
  6. πœ‚π‘=π‘Šπ‘Žπ‘‘π‘’π‘Ÿπ‘‘π‘’π‘™π‘–π‘£π‘’π‘Ÿπ‘’π‘‘π‘Šπ‘Žπ‘‘π‘’π‘ŸΒ π‘ π‘’π‘π‘π‘™π‘–π‘’π‘‘
  7. πœ‚π‘Ž=π‘Šπ‘Žπ‘‘π‘’π‘Ÿπ‘ π‘‘π‘œπ‘Ÿπ‘’π‘‘Β π‘–π‘›Β π‘Ÿπ‘œπ‘œπ‘‘Β π‘§π‘œπ‘›π‘’π‘Šπ‘Žπ‘‘π‘’π‘ŸΒ π‘‘π‘’π‘™π‘–π‘£π‘’π‘Ÿπ‘’π‘‘
  8. πœ‚π‘ =π‘Šπ‘Žπ‘‘π‘’π‘Ÿπ‘ π‘‘π‘œπ‘Ÿπ‘’π‘‘Β π‘–π‘›Β π‘Ÿπ‘œπ‘œπ‘‘Β π‘§π‘œπ‘›π‘’π‘Šπ‘Žπ‘‘π‘’π‘ŸΒ π‘›π‘’π‘’π‘‘π‘’π‘‘Β π‘–π‘›Β π‘Ÿπ‘œπ‘œπ‘‘Β π‘§π‘œπ‘›π‘’
  9. πœ‚π‘‘=1βˆ’π‘‘π·, 𝐷=π‘šπ‘’π‘Žπ‘›π‘œπ‘“Β π‘‘π‘’π‘π‘‘β„Žπ‘ Β and 𝑑=π‘šπ‘’π‘Žπ‘›Β π‘œπ‘“Β π‘Žπ‘π‘ π‘œπ‘™π‘’π‘‘π‘’Β π‘£π‘Žπ‘™π‘’π‘’π‘ Β π‘œπ‘“Β π‘‘π‘’π‘£π‘–aπ‘‘π‘–π‘œπ‘›π‘ 
  10. 𝐢𝐼𝑅=πΆπ‘’βˆ’π‘…π‘’
  11. 𝑁𝐼𝑅=𝐢𝐼𝑅+π‘€π‘Žπ‘‘π‘’π‘Ÿπ‘™π‘œπ‘ π‘‘Β π‘Žπ‘ Β π‘π‘’π‘Ÿπ‘π‘œπ‘™π‘Žπ‘‘π‘–π‘œπ‘›
  12. 𝐢𝑒=π‘˜π‘40(1.8𝑑+32)
  13. π‘‘π‘’π‘π‘‘β„Žπ‘œπ‘“Β π‘€π‘Žπ‘‘π‘’π‘ŸΒ π‘‘π‘œΒ π‘π‘’Β π‘Žπ‘π‘π‘™π‘–π‘’π‘‘=𝛾𝑑𝛾𝑀 𝑑(πΉβˆ’π‘‚π‘€πΆ)
  14. πœπ‘œ=𝛾𝑀𝑅𝑆
  15. 𝑛=124𝑑16, 𝑑is in meters
  16. 𝑣0=0.55Β π‘šπ‘¦0.64
  17. 𝑣=[1𝑛+(23+0.00155𝑆)1+(23+0.00155𝑆)π‘›βˆšπ‘…]βˆšπ‘…π‘†
  18. 𝑣=(𝑄𝑓2140)16
  19. 𝑅=52(𝑣2𝑓)
  20. 𝑃=4.75βˆšπ‘„
  21. 𝑆=𝑓533340𝑄16
  22. 𝐷𝑠=1.35(π‘ž2𝑓)13
  23. 𝑣=10.8𝑅23𝑆13
  24. 𝐴=𝑦2(πœƒ+cotπœƒ),𝑃=2𝑦(πœƒ+cotπœƒ) for Lined Triangular section.
  25. 𝐴=𝐡𝑦+𝑦2(πœƒ+cotπœƒ),𝑃=𝐡+2𝑦(πœƒ+cotπœƒ) for Lined Trapezoidal section.
  26. Launching apron scour depth, 𝐷=π‘₯π‘…βˆ’π‘€π‘Žπ‘‘π‘’π‘Ÿπ‘‘π‘’π‘π‘‘β„Žπ‘Žπ‘π‘œπ‘£π‘’Β π‘π‘’π‘‘, 𝑅=0.47(𝑄𝑓)13
  27. Length of launching apron =√5 𝐷
  28. 𝑑=β„Žβ€²πΊ, whereΒ β„Žβ€²=π‘œπ‘Ÿπ‘‘π‘–π‘›π‘Žπ‘‘π‘’Β π‘œπ‘“Β π»πΊπΏΒ π‘Žπ‘π‘œπ‘£π‘’Β π‘π‘œπ‘‘π‘‘π‘œπ‘šΒ π‘œπ‘“Β π‘‘β„Žπ‘’Β π‘“π‘™π‘œπ‘œπ‘Ÿ
  29. 𝑑=β„ŽπΊβˆ’1 , whereΒ β„Ž=π‘œπ‘Ÿπ‘‘π‘–π‘›π‘Žπ‘‘π‘’π‘œπ‘“Β π»πΊπΏΒ π‘Žπ‘π‘œπ‘£π‘’Β π‘‘β„Žπ‘’Β π‘‘π‘œπ‘Β π‘œπ‘“Β π‘‘β„Žπ‘’Β π‘“π‘™π‘œπ‘œπ‘Ÿ
  30. 𝐢=19 βˆšπ·π‘β€² [𝑑+𝐷𝑏], 𝑑=π‘‘π‘’π‘π‘‘β„Žπ‘œπ‘“Β π‘π‘–π‘™π‘’Β π‘Žπ‘›π‘‘Β π·=π·π‘’π‘π‘‘β„ŽΒ π‘œπ‘“Β π‘›π‘’π‘–π‘”β„Žπ‘π‘œπ‘’π‘Ÿπ‘–π‘›π‘”Β π‘π‘–π‘™π‘’Β π‘π‘’π‘™π‘œπ‘€Β π‘‘β„Žπ‘’Β π‘π‘œπ‘–π‘›π‘‘.
  31. 𝐺𝐸=𝐻𝑑1πœ‹βˆšπœ†Β ,Β πœ†=1+√1+𝛼22 and 𝛼=𝑏𝑑
  32. βˆ…π·=1πœ‹cosβˆ’1(πœ†βˆ’2πœ†) andΒ βˆ…πΈ=1πœ‹cosβˆ’1(πœ†βˆ’1πœ†)
  33. βˆ…πΆ=1πœ‹cosβˆ’1(πœ†2+1πœ†1),βˆ…π·=1πœ‹cosβˆ’1(πœ†2πœ†1) andΒ βˆ…πΈ=1πœ‹cosβˆ’1(πœ†2βˆ’1πœ†1) ,Β πœ†1=√1+𝛼12+√1+𝛼222 andΒ πœ†2=√1+𝛼12βˆ’βˆš1+𝛼222 , 𝛼1=𝑏1π‘‘π‘Žπ‘›π‘‘Β π›Ό2=𝑏2𝑑
  34. Non-modular modules: Drowned pipe outlet, masonry sluice and wooden shoots.
  35. Semi modules or flexible modules: Pipe outlet, venturi flume or Kennedy’, open flume and orifice semi module.
  36. Rigid modules: Gibb’s module, Kanna’s rigid module and foote module.
  37. Flexibility 𝐹=π‘‘π‘ž/π‘žπ‘‘π‘„/𝑄=π‘šπ‘›.𝑦𝐻,Β π‘ž=discharge in outlet and 𝑄= discharge in channel,Β π‘š=outlet index and 𝑛=channel index. 𝐻=working head of outlet and 𝑦= depth of water in channel.
  38. Proportionality: 𝐹=1Β π‘Žπ‘›π‘‘π‘šπ‘›=𝐻𝑦
  39. Setting =𝐻𝑦
  40. π‘šπ‘›>𝐻𝑦, hyper proportional outlet.
  41. π‘šπ‘›<𝐻𝑦, sub proportional outlet.
  42. Sensitivity, 𝑆=π‘‘π‘ž/π‘žπ‘‘π‘¦/𝑦=π‘›π‘‘π‘ž/π‘žπ‘‘π‘„/𝑄=𝑛𝐹
  43. Aqueduct: Canal over drainage with clear gap.
  44. Syphon Aqueduct: Canal over drainage with syphonic action.
  45. Super passage: Drain over canal with clear gap.
  46. Canal Syphon: Drain over canal with syphonic action.
  47. Principal stress in dam

𝜎=𝑝𝑣sec2π›Όβˆ’π‘β€²tan2𝛼

where 𝑝𝑣=π‘šπ‘Žπ‘₯π‘–π‘šπ‘’π‘šΒ π‘£π‘’π‘Ÿπ‘‘π‘–π‘π‘Žπ‘™Β π‘ π‘‘π‘Ÿπ‘’π‘ π‘ Β and 𝑝′= water pressure of tail water and 𝛼=π‘Žπ‘›π‘”π‘™π‘’Β π‘œπ‘“Β π‘‘π‘Žπ‘šΒ π‘“π‘Žπ‘π‘’Β π‘€π‘–π‘‘β„ŽΒ π‘£π‘’π‘Ÿπ‘‘π‘–π‘π‘Žπ‘™

  1. 𝐡=π»βˆšπ‘†π‘βˆ’πΆ
  2. 𝐻=𝑓𝛾𝑀(π‘†π‘βˆ’πΆ+1) andΒ π»π‘šπ‘Žπ‘₯=𝑓𝛾𝑀(𝑆𝑐+1)
  3. π‘₯1.85=2 𝐻𝑑0.85𝑦
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Hello friends, my name is Bipin Kumar, I am the Writer and Founder of this blog and share all the information related to Civil Engineering, Civil practical Knowledge, Site Execution Knowledge, latest information about construction and more through this website.

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