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
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
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=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
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′
Breadth = 4 feet
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
ALSO READ :-
Staircase rise run formula | Stair formula 2R + T
How many stairs in 12′, 10′, 11′, 9′, 8 feet height of ceiling
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
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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
Its perfect n wish to join u team through daily email messages
Very good info. 👏👏
Am very grateful for this post, it was really impactful.
But it would really be nice if you can still do a break on the quantities of steel required. Especially on the percentages that were used. Please reply ASAP thanks.
I am a surveyor and got the articles good enough to improve my grasp of engineering works. This can help me prepare my own BOQ, thus reducing cost,
Thank you