Concrete quantity calculation for staircase and its formula

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

Concrete quantity calculation for staircase
Concrete quantity calculation for staircase

●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

(1Q) 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
Tread =10″ =10″/12=0.833′

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

Number of tread =(riser-1)=10-1=9
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

(2) volume of Waist slab:-
for the calculation of volume of Waist slab first we should find horizontal length of Waist slab and inclined length of Waist slab

Concrete quantity calculation for staircase
Concrete quantity calculation for staircase

Horizontal length=tread×no. of step
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

(3) volume of one flight:-
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

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

Length =8.5feet,
Thickness= 6″=0.5′
Breadth = 4 feet

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

(5) now we have 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

(8) quantity calculation of cement:-
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

(9) sand quantity :-
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

(10) calculation of aggregate quantity :-
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

(11) quantity of steel 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

 

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