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Design of drain trenches, Study notes of Structural Analysis

Sardar Patel UniversityStructural Analysis

How to design drain side walls with excel calculation

Typology: Study notes

2023/2024

Uploaded on 12/27/2024

manik-dutt
manik-dutt 🇮🇳

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bg1
fck = 25.00 b 1000 mm
fy = 500.00 D 230 mm
surcharge Load W = 50.00 d 188 mm
Φ= 30.00 deg
Ka = 0.33
γs = 20.00
H = 2.00 m H
Pa 13.33 kn 33.33333 kn
Lever Arm 0.67 m
h/3
Mu 8.89 kNm/m
surcharge Mu 33.33 kNm/m
Total Mu 63.33 kNm/m
Formula: +ROUND((0.5*25/500)*1000*188*(1-SQRT(1-((4.6*63.3333333333333*10^6)/(25*1000*188^2)))),2)
Ast required = 852.06
Dia of bar = 16 Nominal Bar area = 201.06 `
Spacing required = 235.96 mm
Spacing provided = 200.00
Ast provided = 1005.28
hence :- 16.00 @ 200 mm 5 No. of bars
Percentage of steel, Ast 0.53 % provided
CHECK FOR SHEAR AT BASE
Shear force at wall base junc = 70.00 kn
0.37
0.49
OK
N/mm2
N/mm2
kn/m2
kn/m3
1/2 x Ka x γ x H2
K x γ x H
mm2/m
mm2
mm2 per metre
Nominal shear stress τv =N/mm2
Allowable shear stress τc =N/mm2
pf3
pf4
pf5

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fck = 25.00 b 1000 mm fy = 500.00 D 230 mm surcharge Load W = 50.00 d 188 mm Φ= 30.00 deg Ka = 0. γs = 20. H = 2.00 m H Pa 13.33 kn 33.33333 kn Lever Arm 0.67 m h/ Mu 8.89 kNm/m surcharge Mu 33.33 kNm/m Total Mu 63.33 kNm/m Formula: +ROUND((0.525/500)1000188(1-SQRT(1-((4.663.333333333333310^6)/(251000188^2)))),2) Ast required = 852. Dia of bar = 16 Nominal Bar area = 201.06 ` Spacing required = 235.96 mm Spacing provided = 200. Ast provided = 1005. hence :- 16.00 @ 200 mm 5 No. of bars Percentage of steel, Ast 0.53 % provided CHECK FOR SHEAR AT BASE Shear force at wall base junc = 70.00 kn

OK N/mm^2 N/mm^2 kn/m^2 kn/m^3 1/2 x Ka x γ x H^2 K x γ x H mm^2 /m mm^2 mm^2 per metre Nominal shear stress τv = N/mm^2 Allowable shear stress τc = N/mm^2

  • Mu/bd^2 fy fck=
    • N/mm^2 240.000 250.000 415.000 480.000 500.
      • 0.30 0.146 0.140 0.084 0.073 0.
      • 0.35 0.171 0.164 0.099 0.085 0.
      • 0.40 0.195 0.188 0.113 0.098 0.
      • 0.45 0.220 0.211 0.127 0.110 0.
      • 0.50 0.245 0.236 0.142 0.123 0.
      • 0.55 0.271 0.260 0.156 0.135 0.
      • 0.60 0.296 0.284 0.171 0.148 0.
      • 0.65 0.321 0.309 0.186 0.161 0.
      • 0.70 0.347 0.333 0.201 0.174 0.
      • 0.75 0.373 0.358 0.216 0.186 0.
      • 0.80 0.399 0.383 0.231 0.199 0.
      • 0.85 0.425 0.408 0.246 0.212 0.
      • 0.90 0.451 0.433 0.261 0.225 0.
      • 0.95 0.477 0.458 0.276 0.239 0.
      • 1.00 0.504 0.483 0.291 0.252 0.
      • 1.05 0.530 0.509 0.307 0.265 0.
      • 1.10 0.557 0.535 0.322 0.279 0.
      • 1.15 0.584 0.561 0.338 0.292 0.
      • 1.20 0.611 0.587 0.353 0.306 0.
      • 1.25 0.638 0.613 0.369 0.319 0.
      • 1.30 0.666 0.639 0.385 0.333 0.
      • 1.35 0.693 0.666 0.401 0.347 0.
      • 1.40 0.721 0.692 0.417 0.360 0.
      • 1.45 0.749 0.719 0.433 0.374 0.
      • 1.50 0.777 0.746 0.449 0.388 0.
      • 1.55 0.805 0.773 0.466 0.403 0.
      • 1.60 0.834 0.800 0.482 0.417 0.
      • 1.65 0.862 0.828 0.499 0.431 0.
      • 1.70 0.891 0.856 0.515 0.446 0.
      • 1.75 0.920 0.883 0.532 0.460 0.
      • 1.80 0.949 0.911 0.549 0.475 0.
      • 1.85 0.979 0.940 0.566 0.489 0.
      • 1.90 1.009 0.968 0.583 0.504 0.
      • 1.95 1.038 0.997 0.601 0.519 0.
      • 2.00 1.068 1.026 0.618 0.534 0.
      • 2.05 1.099 1.055 0.635 0.549 0.
      • 2.10 1.129 1.084 0.653 0.565 0.
      • 2.15 1.160 1.114 0.671 0.580 0.
      • 2.20 1.191 1.143 0.689 0.596 0.
      • 2.25 1.222 1.173 0.707 0.611 0.
      • 2.30 1.254 1.204 0.725 0.627 0.
      • 2.35 1.285 1.234 0.743 0.643 0.
      • 2.40 1.317 1.265 0.762 0.659 0.
      • 2.45 1.350 1.296 0.781 0.675 0.
  • 2.50 1.382 1.327 0.799 0.691 0.
  • 2.55 1.415 1.358 0.818 0.708 0.
  • 2.60 1.448 1.390 0.837 0.724 0.
  • 2.65 1.482 1.422 0.857 0.741 0.
  • 2.70 1.515 1.455 0.876 0.758 0.
  • 2.75 1.549 1.487 0.896 0.775 0.
  • 2.80 1.584 1.520 0.916 0.792 0.
  • 2.85 1.618 1.554 0.936 0.809 0.
  • 2.90 1.653 1.587 0.956 0.827 0.
  • 2.95 1.689 1.621 0.977 0.844 0.
  • 3.00 1.724 1.655 0.997 0.862 0.
  • 3.05 1.760 1.690 1.018 0.880 0.
  • 3.10 1.797 1.725 1.039 0.898 0.
  • 3.15 1.834 1.760 1.061 0.917 0.
  • 3.20 1.871 1.796 1.082 0.936 0.
  • 3.25 1.909 1.832 1.104 0.954 0.
  • 3.30 1.947 1.869 1.126 0.973 0.
  • 3.32 1.962 1.884 1.135 0.
  • 3.34 1.978 1.899 1.144 0.
  • 3.36 1.993 1.914 1.
  • 3.38 2.009 1.929 1.
  • 3.40 2.025 1.944 1.
  • 3.42 2.040 1.959 1.
  • 3.44 2.056 1.974 1.
  • 3.46 2.072 1.
  • 3.48 2.088 2.
  • 3.50 2.104 2.
  • 3.52 2.120 2.
  • 3.54 2.137 2.
  • 3.56 2.153 2.
  • 3.58 2.170 2.
  • 3.60 2.186 2.
  • 3.62 2.203 2.
  • 3.64 2.219 2.
  • 3.66 2.236 2.
  • 3.68 2.253 2.
  • 3.70 2.270 2.
  • 3.72 2.287 2.
  • 3.74 2.
  • Mu/bd^2 fy fck=
    • N/mm^2 240.000 250.000 415.000 480 500.
      • 0.30 0.146 0.140 0.085 0.073 0.
      • 0.35 0.171 0.164 0.099 0.086 0.
      • 0.40 0.196 0.188 0.114 0.098 0.
      • 0.45 0.222 0.213 0.128 0.111 0.
      • 0.50 0.247 0.237 0.143 0.123 0.
      • 0.55 0.272 0.262 0.158 0.136 0.
      • 0.60 0.298 0.286 0.172 0.149 0.
      • 0.65 0.324 0.311 0.187 0.162 0.
      • 0.70 0.350 0.336 0.203 0.175 0.
      • 0.75 0.376 0.361 0.218 0.188 0.
      • 0.80 0.403 0.387 0.233 0.201 0.
      • 0.85 0.430 0.412 0.248 0.215 0.
      • 0.90 0.456 0.438 0.264 0.228 0.
      • 0.95 0.483 0.464 0.280 0.242 0.
      • 1.00 0.511 0.490 0.295 0.255 0.
      • 1.05 0.538 0.517 0.311 0.269 0.
      • 1.10 0.566 0.543 0.327 0.283 0.
      • 1.15 0.594 0.570 0.343 0.297 0.
      • 1.20 0.622 0.597 0.359 0.311 0.
      • 1.25 0.650 0.624 0.376 0.325 0.
      • 1.30 0.678 0.651 0.392 0.339 0.
      • 1.35 0.707 0.679 0.409 0.354 0.
      • 1.40 0.736 0.707 0.426 0.368 0.
      • 1.45 0.765 0.735 0.443 0.383 0.
      • 1.50 0.795 0.763 0.460 0.397 0.
      • 1.55 0.825 0.792 0.477 0.412 0.
      • 1.60 0.855 0.821 0.494 0.427 0.
      • 1.65 0.885 0.850 0.512 0.443 0.
      • 1.70 0.916 0.879 0.530 0.458 0.
      • 1.75 0.947 0.909 0.547 0.473 0.
      • 1.80 0.978 0.939 0.565 0.489 0.
      • 1.85 1.009 0.969 0.584 0.505 0.
      • 1.90 1.041 1.000 0.602 0.521 0.
      • 1.95 1.073 1.030 0.621 0.537 0.
      • 2.00 1.106 1.062 0.640 0.553 0.
      • 2.02 1.119 1.074 0.647 0.559 0.
      • 2.04 1.132 1.087 0.655 0.566 0.
      • 2.06 1.145 1.099 0.662 0.573 0.
      • 2.08 1.159 1.112 0.670 0.579 0.
      • 2.10 1.172 1.125 0.678 0.586 0.
      • 2.12 1.185 1.138 0.685 0.593 0.
      • 2.14 1.199 1.151 0.693 0.599 0.
      • 2.16 1.212 1.164 0.701 0.606 0.
      • 2.18 1.226 1.177 0.709 0.613 0.
  • 2.20 1.239 1.190 0.717 0.62 0.
  • 2.22 1.253 1.203 0.725 0.627 0.
  • 2.24 1.267 1.216 0.733 0.633 0.
  • 2.26 1.281 1.230 0.741 0.64 0.
  • 2.28 1.295 1.243 0.749 0.647 0.
  • 2.30 1.309 1.256 0.757 0.654 0.
  • 2.32 1.323 1.270 0.765 0.661 0.
  • 2.34 1.337 1.283 0.773 0.668 0.
  • 2.36 1.351 1.297 0.781 0.675 0.
  • 2.38 1.365 1.311 0.790 0.683 0.
  • 2.40 1.380 1.324 0.798 0.69 0.
  • 2.42 1.394 1.338 0.806 0.697 0.
  • 2.44 1.408 1.352 0.814 0.704 0.
  • 2.46 1.423 1.366 0.823 0.711 0.
  • 2.48 1.438 1.380 0.831 0.719 0.
  • 2.50 1.452 1.394 0.840 0.726 0.
  • 2.52 1.467 1.408 0.848 0.734 0.
  • 2.54 1.482 1.423 0.857 0.741 0.
  • 2.56 1.497 1.437 0.866 0.748 0.
  • 2.58 1.512 1.451 0.874 0.756 0.
  • 2.60 1.527 1.466 0.883 0.764 0.
  • 2.62 1.542 1.481 0.892 0.771 0.
  • 2.64 1.558 1.495 0.901 0.779 0.
  • 2.66 1.573 1.510 0.910 0.786 0.
  • 2.68 1.588 1.525 0.919 0.
  • 2.70 1.604 1.540 0.
  • 2.72 1.620 1.555 0.
  • 2.74 1.636 1.570 0.
  • 2.76 1.651 1.585 0.
  • 2.78 1.667 1.
  • 2.80 1.683 1.
  • 2.82 1.700 1.
  • 2.84 1.716 1.
  • 2.86 1.732 1.
  • 2.88 1.749 1.
  • 2.90 1.766 1.
  • 2.92 1.782 1.
  • 2.94 1.799 1.
  • 2.96 1.816 1.
  • 2.98 1.833 1.