Staircase REINFORCED STAIR CASE

DESIGN OF STAIR CASE

2.40 M 1.20 M

x x

2.25 M

y

y

1.50 M

250 M 0.25 M

3.50 M

Clear span m Width m Span of the landing m Width of landing m Live load on the floor Kn/sq.m Concentrated load kN Location from the support m Unit weight of concrete kN/cum Permissible stresses: Es N/mm² Grade of concrete N/mm² Grade steel N/mm² Permissible stress in concrete N/mm² Permissible stress in steel N/mm² Moment of Resistence of concrete: m= k= j=

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166 M

2.25 M 1.20 M 0.25 M 1.20 M 5 0 0 25 25000 25 415 8.5 230 11 0.289 0.904

Q= Rise & Tread Rise Tread No. of flights Min. thickness= Thickness of waist slab Thickness of landing Loads: UDL: Self weight waist slab on plan

1.110 mm mm mm mm mm R=

Dead load of each step/m in hor plan Dead load of each step/m Floor finish Dust load Live load Handrail TOTAL Factored load

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250 M 166 M 14.00 200 200 OK 300.09 hypotenuse of step 5.000 kN/m 9.039 3.125 0.600 1 5.000 0.104 18.868 28.302

kN/m kN/m kN/m kN/m kN/m kN/m kN/m kN/m

Bending moment & Shear Forces: Load/m run kN/m Span m M(centre)= kN-m Dia. Of bar mm Cover mm Effective depth mm xumax/d Qlim= Mu_lim kN-m d= kN-m 2 Mu/bd Pt= % Ast= mm2 Minimum steel(.15%bD) mm2 Dia of bar mm Area mm2 Spacing mm Spacing provided= mm Area provided= mm2 Ast/bd= Check for shear Vu= Shear stress % of steel= correction factor= Permissible shear stress= Permissible Shear stre k Balance shear

kN N/mm2 k N/mm2 N/mm2 N/mm2

Check for development length Assume development length= Lo Pt Mu1/bd2= Mu1= Vu= or 1.3Mu1/Vu+Lo>=58 

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28.30 3.44 41.89 16 25 167 0.176 1.47 1.469 bd2 206.815 40.97 < 41.89 1.502 0.450 751 300 12 113.10 150 150 754 0.451

48.69 0.29 0.45 1.266 0.25 0.32 -

OKAY

12  0.45 1.507 42033406 48694 1122 >=58.00 24.395 mm

REVISE DEPTH

Check for deflection: Span/d= Pt Modification factor K x L/d = Permissible L/d=modification factor x20*K

21 0.45 % 0.82 16.95 33 OKAY

DESIGN OF FLIGHTS: Inclined length of slab sqrt(r2+t2) mm Thickness of waist slab mm Dust load Self load in plan Floor finish/step=(r+t)/t x 1 weight of step L.L. Total Load Factored load

300.09 200.00

kN/m2 kN/m2 kN/m2 kN/m2 kN/m2 kN/m2 kN/m2

1.00 9.04 2.51 3.13 5.00 20.67 31.00

31.00kN/m 28.30kN/m

512.5

Rb

300

2x= 1650 mm G y x x 2y= 400 mm G= 2.25 m Effective span= 3275 mm Ra=Rb= kN Mu= kN-m Mu/[QLx1000] d_required mm

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y

49.39 41.213 167.50

d_provided Mu/bd2= pt= Ast= Dia of bar Area Spacing Spacing provided= Area provided= Ast/bd=

mm % mm2 mm mm2 mm mm mm2 %

167.00 1.48 0.442 738.01 12 113.10 153 150 754 0.754

mm2 mm mm2 mm mm mm2

0.15% bD 300 8 50.27 168 160 314

Distribution steel: Area of steel Dia of bar Area Spacing Spacing provided Area provided= Check for shear Vu= Shear stress % of steel= Permissible shear= correction factor= Permissible Shear stre k Balance shear

kN N/mm²

49.39 0.30 0.75 0.39 1.266 0.49 -

N/mm² k N/mm² N/mm² OKAY

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Ld

10mm dia nose rods 250 166

12 Φ @150 C/C

D= 200

8 dia@ 160C/C

2250

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1200