Design of Superpassage
Clear span (L) = 5m
Discharge(Q) = 32 lps
Assumed slope of flume(s) = 0.002
Assumptions
Super passage trough will have the same section as that of line canal u/s and d/s
Width of the trough(B) = 0.50 m
Depth of the water(d)= 0.15 m
Free board (FB) = 0.20 m
Density of concrete(d) = 25 kN/m3
Assume M15 grade of concrete and tor steel are used.
Tensile strength of steel(pst) = 230 N/mm2
Compression in bending of concrete(pbc) = 5 N/mm2
Design of slab
For design, 1m width of slab is taken
Assume slab thickness = 0.20 m
Slab dead wt, 0.20*25 = 5.00 KN/m
Loads on slab due to water 3.54 KN/m
Total imposed load(W) = 8.54 KN/m
Effectice span = L+0.30/2 = 0.65 m
Maximum bending moment = WxLe2/8 0.45 KNm
Maximum Shear force = WxLe/2 2.7755 KN
Slab thickness
M = R bd2
Where R= 0.65 for M15 concrete and tor steel
d = (M/Rb)2 65.345237 mm
Assume cover to reinforcement 40 mm
Slab total depth = d+cover+5 110.34524 mm
Assumed slab thickness = 200 mm OK
Therefore slab effective thickness(d) = 155 mm
Steel required
Ast = M/pstxjxd
j is lever arm = 0.904 for M15 concrete and tor steel
Ast = 13.994798 mm2
Minimum amount of steel required 0.25% of Ac
= 500 mm2
Provide 10mm @ 157 mm c/c but greater than slab effective thickness
Hence provide 10 mm bar @ 100 mm c/c
As there is negative moment at the support of slab, provide the same at top of the slab also.
Distribution steel 0.15% of Ac 300 mm2
Provide 10 mm bars 262 mm c/c
adopt = 150 mm c/c
Check shear stress
qv = SF/bd = 0.0179065 N/mm2
This is well below the permissible shear stress
Hence no need of shear reinforcement required.
Side beam design
Depth of beam = 1/10 of clear span 0.5 m
But overall depth D = 0.55 m
Width of beam 1/2 of D 0.25 m
But width of beam W = 0.30 m
Loads on beam KN/m
Beam dead wt. 0.3x0.52x25 4.155
Walkway slab 1/2x0.15x0.70x25 1.75
Live load 1/2x2.5KN/m2 2.5
Base slab 1/2x0.15x0.33x25 0.83
Water load 1/2x0.33x0.37*10 0.885
Total 10.12
Assume support width 0.40m
Effective span 0.4+clear span 5.4 m
Maximum bending moment
WxLe2/8 36.869175 KN-m
Maximum Shear force(assumed at support)
WxLe/2 27.3105 KN
Beam depth
M = R bd2
Where R= 0.65 for M15 concrete and tor steel
d = (M/Rb)2 434.8249 mm
Assume cover to reinforcement 40 mm
Beam total depth = d+cover+8 482.8249 mm Say 900mm
Assumed beam depth = 554.00 mm
Therefore beam effective thickness(d) = 509 mm
Steel required
Ast = M/pstxjxd
j is lever arm = 0.904 for M15 concrete and tor steel
Ast = 348.37692 mm2
Minimum amount of steel required 0.25% of Ac
= 346.25 mm2
Provide 6 no. of 20 mm bars = 1885 mm2 greater than required, OK
Distribution steel 0.15% of Ac 249.3 mm2
Provide 10 mm bars 315 mm c/c on both faces of the beam
adopt = 90 mm c/c
Check shear stress
qv = SF/bd = 0.18 N/mm2
Check for shear reinforcement
100xAs = 1.23
bd
Permissible shear stress in concrete qc = 0.28 N/mm2
The shear stress is more than permissible shear stress, let us provide nominal shear reinforcement in the beam as vertical sti
Asv/bsv > 0.4/fy
For tor steel fy = 415 N/mm2, and spacing of 200 mm
Asv = 0.4x300*300/415 57.83 mm2
Provide 8 mm two legged vertical stirrup @ 10mm c/c (Asv=2x 100.4 mm2
OK
ment in the beam as vertical stirrups