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Staircase Design PDF

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Staircase Design

Data
Riser 175 mm
Tread 275 mm
Span 3145.00 mm
Fck 20 MPa
OD of Slab
<=300 275 250 225 200 175 =>150
Fy 500 MPa mm
Density of Concrete 25 kN/mm2 k 1 1.05 1.1 1.15 1.2 1.25 1.3
Live Load 3 kN/m2
Width of Slab 1.00 m 22.255 kN/m
Finish Load 1.5 kN/m2 12.465 12.465
Waist Slab Length 2.24 m A B
Landing A length 0.91 m Landing A Waist Slab Landing B
Landing B length 0.00 m 0.91 m 2.235 m 0 m
Effective Cover = 15 mm
Landing Width 1 m 3.145 m

Min.Slab depth required= 120.962 mm


Slab Depth Tried= 152.4 mm
D.L. of flight
Step Section= 0.024 m2
Inclined Slab= 0.090 m2
Total Area= 0.114 m2
D.L. of step section, 1m in width and 275 mm In plan length= 2.8425 kN/m
2
D.L. per m on plan= 10.337 kN/m2
F.L.= 1.5 kN/m2
L.L= 3 kN/m2
Total dead load= 14.837 kN/m2
Factored load= 22.255 kN/m2
Total fact load in 1 m Wide Slab=22.255 kN/m
Landing A
Self Weight of Slab= 3.81 kN/m2
Finish Load= 1.5 kN/m2
Live Load = 3 kN/m2
Total Load= 8.31 kN/m2
Factored Load= 12.465 kN/m2
Total D.L. in 1 m Wide Slab= 12.47 kN/m
Landing B
Self Weight of Slab= 3.81 kN/m2
Finish Load= 1.5 kN/m2
Live Load = 3 kN/m2
Total Load= 8.31 kN/m2
Factored Load= 12.465 kN/m2
Total D.L. in 1 m Wide Slab= 12.47 kN/m
Stair Flight
Total load on Staircase= 61.083
Reaction at A = Vu 30.541 kN Rough
Maximum moment Mu = 30.466 kNm 48.026 15.411 2.1484
Effective depth required= 105.064 mm
Adopted effet.depth d = 137.4 mm
Overall depth D = 152.4 mm 6 "
Steel Design
Mu = 0.87*fy*Ast* d (1 - fy*Ast/fck*b*d)
c b a
509.7339888 -1 0.00018
Ast.= 568.55 4927.45 mm2
Use 12 mm dia. Bars @ 199 mm c/c 7.8 4 inches
Ast Provided = 12 @ 101.6 mm c/c ----> 1113.2 mm2
Shear Check
Nom.shear stress τv = 0.22 Mpa
% Steel provided= 0.81 %
τc = 0.579 MPa Table 19 IS 456 clause 40.2.1
τ'c = 0.60821 Mpa OK in Shear
Distribution Bar design
2
Astd = 182.88 mm /m
Try steel bar 10 mm dia. Bars @ 429.46 mm c/c
Provided spacing = 200 mm diameter = 10 mm
2
Provide steel area= 392.70 mm /m
Development length check
Ld =0.87*fy*dia./(4*taubd*1.6) 56.6406 *diameter
Ld = 679.6875 mm Bond stress
Mu1 = 59.65 kN M20 M25 M30 M35 M40 and above
Vu 30.54 kN 1.2 1.4 1.5 1.7 1.9
Lo = 0
Ld = 2539.02 mm ok
Deflection check
L/d = αβγδλ
α= 23
β= 1 L< 10m
Percentage of Steel= 0.81
fs=(0.58*As required/Ast provided)*fy = 148.12 Mpa
γ= 1.2 fig.4, pg 38 IS456
δ= 1
λ= 1
Allowble L/d = 27.6
Actual L/d = 22.89 Safe in Deflection

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