# Concrete quantity calculation for staircase and its formula

Concrete quantity calculation for staircase and its formula and find out volume of waist slab and number of Riser and number of tread in staircase and what is incline length, horizontal length,flight height and landing in staircase.

## What is different part in staircase

Different part in staircase is Riser, tread, landing, horizontal length, step, flight and inclined length

●staircase:- staircase is used in building for walking from ground floor to upper floor. Staircase have many component like riser tread flight landing etc.

●tread:- tread is defined as horizontal part of staircase on which we first apply foot on this for walking from ground floor to upper floor.

●Riser:- vertical part of staircase

●Step:- the series of Riser and tread in which tread is horizontal part and riser is vertical part.

●flight:- series of step without any platform generally in building there is a two flight and one landing . When we reach up to landing we turn and reach up to the upper floor.

what is admixture of concrete and its properties and types

●waist slab:– inclined length of staircase

## concrete quantity calculation for staircase

it compromise of following calculation:-

1) volume of all step: in staircase first we calculate volume of all step

given dimension:-
Height of building= 10 feet
if each flight have equal height
Height of landing =10/2’=5′
Height of one flight=5′
Riser = 6″ =6″/12= 0.5 feet

No.of riser= height of flight/ 1 riser height
Number of riser= 5’/0.5 =10

Note that number of tread is equal to number of step so we have
Number of step=9
One step length is=4 feet

Volume of all step in one flight
=1/2×riser×tread× length of step×no. of step
=1/2×0.5″×0.833×4×9=7.497 cft

Volume of step in 1 flight =7.497 cft

### How to calculate volume of Waist slab in staircase

for the calculation of volume of Waist slab first we should find horizontal length of Waist slab and inclined length of Waist slab

Horizontal length =0.833×9=7.497′

Now inclined length of waist slab
= √(5*2+7.497*2) under root of square of both
Inclined length of waist slab=9.012 feet

Volume of waist slab = incline length of Waist slab ×length of step ×thickness of Waist slab

Thickness of slab = 6″=6″/12=0.5′

Volume =9.012’×4’×0.5’= 18.024 cft
Volume of waist slab=18.024 cft

### How to calculate volume of one flight in staircase

volume of one flight is equal to sum of volume of all step in one flight and volume of waist slab

Volume of one flight=v of step+v of waist slab
Volume of one flight=7.497+18.024
Volume of one flight=25.521 cft

Volume of two flight =25.521×2 =51.042 cft

### How to calculate volume of landing

for the calculation of volume of landing we have given dimension for landing:-

Length =8.5feet,
Thickness= 6″=0.5′

Volume of landing =L×B×T
Volume of landing =8.5’×4’×0.5’=17cft

### How to calculate total volume of concrete in staircase

total volume of concrete in staircase is sum of volume of two flight and volume of one landing

Total volume= volume of two flight +volume of one landing

Total volume=51.042 +17 = 68.042 cft

Hence total concrete volume in staircase is approx 68.042 cft

(6) now we have to calculate wet volume and dry volume of concrete:-

Total concrete volume in staircase is wet volume
Wet volume = 68.042 cft

Dry volume is increased by 54% in concrete reinforcement so we multiply cofactor 1.54 in wet volume to calculate dry volume

Dry volume =68.042×1.54=104.78 cft

(7) mix ratio:- mix ratio of concrete reinforcement in staircase is 1:1.5:3 in which one part is cement 1.5 part is sand and 3 part is aggregate

Total ratio =1+1.5+3=5.5

### How much cement needed for construction of staircase

in mix ratio of concrete volume cement is one part and total ratio is 5.5

Volume of cement=1/5.5×dry volume
Volume of cement=1/5.5×104.78 cft
Volume of cement =19.05 cft

We know that
Volume of 1 bag cement =1.226 cft

No. Of bag of cement =19.05/1.226
Number of bag of cement= 15.538 bags

### sand quantity for staircase

in mix ratio quantity of sand is 1.5 and total ratio is 5.5
Volume of sand= 1.5/5.5×104.78
Volume of sand=28.57 cft

### calculation of aggregate quantity for staircase

in mix ratio quantity of aggregate is 3 part and total ratio is 5.5

Volume of aggregate=3/5.5×104.78
Volume of aggregate=57.15 cft

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Concrete quantity calculation for staircase and its formula

### quantity of steel are required for staircase construction

calculation:- approx 0.5 % to 0.1 percent Steel reinforcement used in slab we have taken about 0.75 percent of Steel reinforcement of dry volume of concrete
Density of steel=7850kg/m3
1m3 =35.315cft
W of steel = volume×density

Steel quantity
=(0.75×104.78×7850)÷(100×35.315)

Weight of Steel=174.68 kg

result:-
1) concrete wet volume =68.042 cft
2) concrete dry volume=104.78cft
3) cement quantity=15.538 no. of bags
4) sand quantity= 28.57 cft
5) aggregate quantity=57.15cft
6) Steel quantity =174.68 kg

### 5 thoughts on “Concrete quantity calculation for staircase and its formula”

1. Hi, this info was very helpful and i can calculate on the total sand, cement and aggregate i need. My question is do you have a formula on how to get the required cement and grout for tilling works? Your quick response will be highly appreciated.

Regards Anthony

2. Its perfect n wish to join u team through daily email messages