Staircase

Project

INDIAN SCHOOL DARSAITCalculations for Designed by K.VENKAT Date 23.06.12 Sheet Nr-01

Checked by P.RAMAN Date 23.06.12Approved by P.RAMAN Date 23.06.12

Calculation of dead load of staircase slab:Given Data:

TLeft side length = 1.4 m GRight side length = 0 mMiddle length = 2.85 m WAssumed 0 = 170 mmEffective thickness (d) = 149 mm RSize of tread = 0.25 m

DSize of rise = 0.16 m

B

Calculation of dead load: G

Dead load = 11

Live load = 2

Factored load (Dead & live) = 19.5

Landing load = 5.5B =

Factored load (landing) = 11.25B = 0.29682

where:

11.25 19.5 11.25 G = TreadR = Rise

a b c d1.4 2.85 0 Horizontal span = (WB +RT*0.5)*(25/G)

4.25Calculation of reaction:

39.5351 RA 31.7899 KNRB 39.5351 KN

23.7851SFD Calculation of shear force:

e Shear force @ L.H.S of 'a' = 0 knShear force @ R.H.S of 'a' = 39.53515 kn upShear force @ L.H.S of 'b' = 23.78515 kn up

1.21975 Shear force @ L.H.S of 'c' = -31.7899 kn down-31.78985 Shear force @ L.H.S of 'd' = -31.7899 kn down

-31.7899 Shear force @ R.H.S of 'd' = 7.745294 kn38.53944 Max = 39.53515 kn

33.4807941176471 0 Point of shear point = 1.219751 mCalculation of bending moment:

BMDBending moment at 'a' = 0 knmBending moment at 'b' = 33.48079 knmBending moment at 'e' = 38.53944 knmBending moment at 'c' = 0 knmBending moment at 'd' = 0.00 knm

AK Consultant,PR complex,west mambalam,chennai-33

DESIGN OF STAIRCASE(END STAIR)-AS PER BS 8110(part 1-3)- 1997`

Kn/m2

Kn/m2

Kn/m2

Kn/m2

(G2 )1/2+ (R2) 1/2

Kn/m2

kn/m2 kn/m2 kn/m2

Dead load per m2 of

Calculation of depth:Max 38.53944 knm

Required effective depth = 96.48339 mm 119.483 ok

Calculation of main reinforcement: Grade of concrete = 30

Grade of steel = 460

= 1.735933 Main dia of bar = 16 mmDistribution bar = 8 mm

Percentage of steel = 0.5 %Chart no 2 BS 8110-2-1997

Area of steel (Ast) = 745

Area of bar (ast) = 201.0619

Spacing of bar = 269.8818 mm

Provide spacing of bar = 150 mm 1340.41

Provide 16 mm dia bar @ 150 mm C/C

Calculation of distribution reinforcement:

Percentage of steel = 0.12 %




Provide spacing of bar = 200 mm


Check for shear:

Shear force = 39.53515 kn

Actual shear force = 0.270.5

Allowable shear stress = 0.730 1.28002 Table 3.8 BS 8110-1-19971.28002

check safe

Check for deflection:fs (steel stress of service) in N/mm2 = 170.445 Table 3.10 BS 8110-1-1997

0.5557989

modification factor = 1.5191541

Basic span/Depth = 23 Table 3.9 BS 8110-1-1997

Minimum depth to be provided to avoid deflection = 121.64 mmSAFE

N/mm2

N/mm2

Mu/Bd2 N/mm2

mm2

mm2

mm2

mm2

N/mm2

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Project




TLeft side length = 1.2 m GRight side length = 0 mMiddle length = 3.1 m WAssumed 0 = 170 mmEffective thickness (d) = 149 mm RSize of tread = 0.25 m


B


Dead load = 9.65

Live load = 2




where:

7.5 11.65 7.5 G = TreadR = Rise

a b c d1.2 3.1 0 Horizontal span = (WB +RT*0.5)*(25/G)


24.3526 RA 20.7624 KNRB 24.3526 KN




-20.7624 Shear force @ R.H.S of 'd' = 3.590233 kn24.89958 Max = 24.35262 kn

19.5148604651163 0 Point of shear point = 1.317821 mCalculation of bending moment:

BMDBending moment at 'a' = 0 knmBending moment at 'b' = 19.51486 knmBending moment at 'e' = 24.89958 knmBending moment at 'c' = 0 knmBending moment at 'd' = 0.00 knm


DESIGN OF STAIRCASE(MIDDLE STAIR)-AS PER BS 8110(part 1-3)- 1997`

Kn/m2

Kn/m2

Kn/m2

Kn/m2

(G2 )1/2+ (R2) 1/2

Kn/m2

kn/m2 kn/m2 kn/m2

Dead load per m2 of



















Check for shear:




check safe


0.5557989




N/mm2

N/mm2

Mu/Bd2 N/mm2

mm2

mm2

mm2

mm2

N/mm2

N/mm2

Project




TLeft side length = 1.1 m GRight side length = 1.1 mMiddle length = 3 m WAssumed 0 = 165 mmEffective thickness (d) = 144 mm RSize of tread = 0.25 m


B


Dead load = 9.525

Live load = 0




where:

5.375 9.525 5.375 G = TreadR = Rise

a b c d1.1 3 1.1 Horizontal span = (WB +RT*0.5)*(25/G)


20.2 RA 20.2 KNRB 20.2 KN




-20.2 Shear force @ R.H.S of 'd' = 0 kn29.68375 Max = 20.2 kn

18.968125 18.9681 Point of shear point = 1.5 mCalculation of bending moment:

BMDBending moment at 'a' = 0 knmBending moment at 'b' = 18.96813 knmBending moment at 'e' = 29.68375 knmBending moment at 'c' = 18.96813 knmBending moment at 'd' = 0.00 knm



Kn/m2

Kn/m2

Kn/m2

Kn/m2

(G2 )1/2+ (R2) 1/2

Kn/m2

kn/m2 kn/m2 kn/m2

Dead load per m2 of



















Check for shear:




check safe


0.5371479




N/mm2

N/mm2

Mu/Bd2 N/mm2

mm2

mm2

mm2

mm2

N/mm2

N/mm2

Project




TLeft side length = 1 m GRight side length = 1 mMiddle length = 3 m WAssumed 0 = 165 mmEffective thickness (d) = 144 mm RSize of tread = 0.25 m


B


Dead load = 0

Live load = 2

Factored load (Dead & live) = 2

Landing load = 0B =

Factored load (landing) = 2B = 0.29682

where:

2 2 2 G = TreadR = Rise

a b c d1 3 1 Horizontal span = (WB +RT*0.5)*(25/G)

5Calculation of reaction:

5 RA 5 KNRB 5 KN

3SFD Calculation of shear force:

e Shear force @ L.H.S of 'a' = 0 knShear force @ R.H.S of 'a' = 5 kn upShear force @ L.H.S of 'b' = 3 kn up

1.5 Shear force @ L.H.S of 'c' = -3 kn down-3 Shear force @ L.H.S of 'd' = -5 kn down

-5 Shear force @ R.H.S of 'd' = 0 kn6.25 Max = 5 kn

4 4 Point of shear point = 1.5 mCalculation of bending moment:

BMDBending moment at 'a' = 0 knmBending moment at 'b' = 4 knmBending moment at 'e' = 6.25 knmBending moment at 'c' = 4 knmBending moment at 'd' = 0.00 knm



Kn/m2

Kn/m2

Kn/m2

Kn/m2

(G2 )1/2+ (R2) 1/2

Kn/m2

kn/m2 kn/m2 kn/m2

Dead load per m2 of



















Check for shear:

Shear force = 5 kn



check safe


0.5371479




N/mm2

N/mm2

Mu/Bd2 N/mm2

mm2

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Staircase