single rc staircase design

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Page 1: Single RC Staircase Design

Project Spreadsheets to BS 8110 REINFORCED CONCRETE COUNCIL

Client Advisory Group Made by Date Page

Location South Staircase FLIGHT rmw 7-Apr-23 106

STAIR FLIGHTS AND LANDINGS to BS 8110:1997 Checked Revision Job No

chg - R68

MATERIALSfcu 35 N/mm² 1.5 concrete Min bar Ø = 10fy 460 N/mm² 1.05 steel Max bar Ø = 16

h agg 20 mm Density 23.6 kN/m³

Cover 25 mm (Normal weight concrete) Nominal top steel ? Y

DIMENSIONS Sectional Elevation

a = 600 mm landing A h = 175b = 2500 mm flight waist = 200c = 1200 mm landing B h = 200d = -600 mm

e = -100 mm

Going = 250 mm L = 4300Rise = 1900 mm total 10 treadsRise = 172.7 mm each step Rake = 34.64 º

LOADING

Imposed 4.00 kN/m² 47.08 kN/m ult 37.81 kN/m ultFlight finishes 1.60 kN/m² (20.87 + 11.16) (16.91 + 8.84)

Landing finishes 1.30 kN/m²

DESIGN

LANDING A, gk = 4.13 + 1.30 = 5.43 kN/m² n = 1.4 x 5.43 + 1.6 x 4.0 = 14.00 kN/m²

FLIGHT, gk = 7.78 + 1.60 = 9.38 kN/m² n = 1.4 x 9.38 + 1.6 x 4.0 = 19.53 kN/m²

LANDING C, gk = 4.72 + 1.30 = 6.02 kN/m² n = 1.4 x 6.02 + 1.6 x 4.0 = 14.83 kN/m²

Zero shear is at 0.6 + (47.08 - 16.80) /19.53 = 2.151 m from leftM = 47.08 x 2.151 - 16.80 x 2.151 - 19.53 x 1.551²/2 = 41.64 kNm/md = 200 - 25 - 8 = 167 mm K = 0.0427 As = 599 mm²/m

### ###

Enhanced by 8.5 % for deflection T10 @ 300 T in span

L/d = ### Err:520

Originated from Beta/trial version of RCC71.xls' on CD © 1999 BCA for RCC

gm

gm

Page 2: Single RC Staircase Design

Project Spreadsheets to BS 8110

Client Advisory Group Made by Date Page

Location South Staircase LANDING rmw 7-Apr-23 107

STAIR FLIGHTS AND LANDINGS to BS 8110:1997 Checked Revision Job No

Originated from Beta/trial version of RCC71.xls' on CD © 1999 BCA for RCC chg R68

MATERIALSfcu 35 N/mm² 1.5 concrete Min bar Ø = 10fy 460 N/mm² 1.05 steel Max bar Ø = 16

h agg 20 mm Density 23.6 kN/m³

Cover 25 mm (Normal weight concrete) Nominal top steel ? Y

DIMENSIONS

a = 1200 mm epth, h = 175 mm

b = 1200 mm idth, w = 1200 mm

c = 250 mm

d = 175 mm L = 3000 mm

LOADING

LANDING mposed 4.00 kN/m² 79.3 kN ult 74.0 kN ultFinishes 1.50 kN/m² 66.1 kN/m ult 61.6 kN/m ult

Slab 4.13 kN/m² n = 1.4 x 5.63 + 1.6 x 4.0 = 14.28 kN/m²gk qk

20.87 11.16 kN/m n1 = (1.4 x 20.87 + 1.6 x 11.16)/1.20 = 39.23 kN/m²16.91 8.84 kN/m n2 = (1.4 x 16.91 + 1.6 x 8.84)/1.20 = 31.51 kN/m²

DESIGN

Zero shear is at (66.11 - 2.50) /(14.28 + 39.23) + 0.175 = 1.364 m from leftM = 66.11 x 1.364 - 14.28 x 1.364²/2 - 39.23 x 1.189²/2 = 49.15 kNm/md = 175 - 25 - 8 = 142 mm K = 0.0696 As = 863 mm²/m

### ###Enhanced by 3.7 % for deflection T10 @ 325 T in span

L/d = ### Err:520

REINFORCED CONCRETE COUNCIL

gm

gm

Flight a reactionFlight b reaction

Page 3: Single RC Staircase Design

Project Spreadsheets to BS 8110 Location South Staircase

STAIR FLIGHTS AND LANDINGS to BS 8110:1997 Made by rmw Job No R68

Originated from Beta/trial version of RCC71.xls' on CD © 1999 BCA for RCC Date 7-Apr-23

CHOOSE BAR DIAMETERS

FLIGHT LANDINGM 41.64 49.15 Lookup Tablesh 200 175 0 10 10

assume d = 169 144 8 10 10K 0.0417 0.0677 10 10 10z 160.55 132.20 12 12 12

As/m 592.05 848.74 16 16 16= % 0.3503 0.5894 20 16 16

Clause b? N N 25 16 16Smax 422.50 360.00 32 16 16

Dia 16 160 10 10

As nom 260 228 8 10 10Dia 10 10 10 10 10S 300 325 12 12 12

As' prov 262 242 16 16 16= % 0.1568 0.1702 20 20 20

25 25 2532 32 32

Page 4: Single RC Staircase Design

Disclaimer

Status of spreadsheet

Public release version.

Date Version Action

06-Aug-99 RCC71v1.0 147

All advice or information from the British Cement Association and/or Reinforced Concrete Council is intended for those who will evaluate the significance and limitations of its contents and take responsibility for its use and application. No liability (including that for negligence) for any loss resulting from such advice or information is accepted by the BCA, RCC or their subcontractors, suppliers or advisors. Users should note that all BCA software and publications are subject to revision from time to time and should therefore ensure that they are in possession of the latest version.

This spreadsheet should be used in compliance with the accompanying publication 'Spreadsheets for concrete design to BS 8110 and EC2' available from British Cement Association, Telford Avenue, Crowthorne, Berkshire RG45 6YS.

Revision history RCC71 Stair Flight & Landing - Single

Size (kB)

First public release. Includes b version comments