**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

**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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Anthony says

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