DOME SLAB CALCULATION | QUANTITY SURVEY | VOLUME OF CONCRETE | AREA OF SHUTTERING

DOME SLAB CALCULATION | QUANTITY SURVEY | VOLUME OF CONCRETE & AREA OF SHUTTERING

1. Dome Slab Volume Of Concrete Calculation

2. Dome Slab Area Of Shuttering Calculation

 

GIVEN DATA

(A) Solution for Roof Slab

1. Volume of Concrete = Area x Depth x no. of Slabs

= L x B x D x no.s

= 14.50 x 10.50 x 0.20 x 1

= 30.45 m³

Deduction of Dome area

(i) Dome‐1 = Area x Depth

= π/4 x d² x D

= π/4 x 2.50² x 0.20

= π/4 x 6.25 x 0.20

= 0.981 m³

 

(ii) Dome‐2 = Area x Depth

= π/4 x d² x D

= π/4 x 1.85² x 0.20

= π/4 x 3.4225 x 0.20

 

= 0.537 m³

 

(iii) Dome‐3 = Area x Depth

= π/4 x d² x D

= π/4 x 1.65² x 0.20

= π/4 x 2.7225 x 0.20

= 0.427 m³

 

Total volume of concrete required = 30.45 ‐ 0.981‐ 0.537 ‐ 0.427

= 24.859 m³

 

2. Shuttering area = (Bottom area of floor slab + peripheral length of Dome‐1 x Depth + peripheral length of Dome‐2 x Depth + peripheral length of Dome‐3 x Depth)

 

= L x B + 2 x π x r₁ x D + 2 x π x r₂ x D + 2 x π x r₃ x D

r1 = 1.25

r2 = 0.925

r2 = 0.825

 

= 14.50 x 10.50 + 2 x π x 1.25 x 0.20 + 2 x π x 0.925 x 0.20 + 2 x π x 0.825 x 0.20

 

= 156.01 m²

Deduction of Dome area

(i) Dome‐1 = Bottom Area of Dome‐1

= π/4 x d²

= π/4 x 2.50²

= π/4 x 6.25

= 4.90 m²

 

 (ii) Dome‐2 = Bottom Area of Dome‐2

= π/4 x d²

= π/4 x 1.85²

= π/4 x 3.4225

= 2.68 m²

 

(iii) Dome‐3 = Bottom Area of Dome‐3

= π/4 x d²

= π/4 x 1.60²

= π/4 x 2.7225

= 2.13 m²

 

Total shuttering area required = 156.01 ‐ 4.90 ‐ 2.68 ‐ 2.13

= 146.3 m²

(B) Solution for Dome Slabs

DOME-1:

Semi‐Circle Length = 2 π R x ½

= 2 x π x 1.25 x 0.5

= 3.92 m

 

1. Volume of Concrete = Area x Depth

= π/4 x d² x D

= π/4 x 3.92² x 0.15

= π/4 x 15.36 x 0.15

= 1.80 m³

 

2. Shuttering area = bottom area of dome

= π/4 x d²

= π/4 x 3.92 ²

= π/4 x 15.36

= 12.06 m²

 

DOME-2:

Semi‐circle length = 2 π r x ½

= 2 x π x 0.925 x 0.5

= 2.90 m

 

1. Volume of Concrete = Area x Depth

= π /4 x d² x D

= π /4 x 2.90² x 0.15

= π /4 x 8.41 x 0.15

= 0.99 m³

 

2. Shuttering area = bottom area of dome

= π/4 x d²

= π/4 x 2.90²

= π/4 x 8.41

= 6.60 m²

 

DOME-3:

Segmental arc length = (8B‐2R)/3

Where,

B = √R² + H²

Therefore,

D= 1.65m; R = 0.825m; H = 0.60m

B = √R² + H²

B =√0.825² + 0.60²

B = 1.02

Arc length 'L' = (8 x 1.02 ‐ 2 x 0.825)/3

= 2.17m

 

1. Volume of Concrete = Area x Depth

= π /4 x d² x D

= π /4 x 2.17² x 0.15

= π /4 x 4.70 x 0.15

= 0.55 m³

 

2. Shuttering area = bottom area of dome

= π /4 x d²

= π /4 x 2.17²

= π /4 x 4.70

= 3.69 m²

 

(C) Solution for Minaret

Cylinder:

1. Volume of Concrete = Area x Depth

= π/4 x d² x D

= π/4 x 0.60² x 3.50

= π/4 x 0.360 x 3.50

= 0.989 m³

 

2. Shuttering Area = Peripheral length x depth

= 2 x π x r x D

= 2 x π x 0.30 x 3.5

= 6.597 m²

 

Cone:

1. Volume of Concrete = Area x Depth x 1/3

= π/4 x d² x D x 1/3

= π/4 x 0.80² x 1.20 x 1/3

= π/4 x 0.64 x 1.20 x 1/3

= 0.20 m³

 

2. Shuttering Area = Peripheral length x depth x 1/3

= 2 x π x r x D x 1/3

= 2 x π x 0.40 x 1.20 x 1/3

= 1.00 m²

 

CALCULATION FOR THE QUANTITIES OF ROOF SLAB WITH DOME SLAB

S.no	Description	item	no.s	length in metre	Breadth in metre	Depth in metre	Volume of Concret in m3	area of shutter in m2	Remarks
1	Floor Slab	S	1	14.500	10.50	0.200	24.859	156.01
	Deduction of area
	Dome‐1	DM1	1	Ǿ =	2.5	0.200	‐0.981	‐4.90
	Dome‐2	DM2	1	Ǿ =	1.85	0.200	‐0.537	‐2.68
	Dome‐3	DM3	1	Ǿ =	1.65	0.200	‐0.427	‐2.13
2	Dome
	Dome‐1	DM1	1	Ǿ =	3.92	0.150	1.80	12.06
	Dome‐2	DM2	1	Ǿ =	2.90	0.150	0.99	6.60
	Dome‐3	DM3	1	Ǿ =	2.17	0.150	0.55	3.69
3	Minaret
	Cylinder	cyl	1	Ǿ =	0.600	3.500	0.989	6.597
	Cone	cone	1	Ǿ =	0.800	1.200	0.20	1.00
						TOTAL	29.255	159.602

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CALCULATION FOR THE QUANTITIES OF ROOF SLAB WITH DOME SLAB EXCEL SHEET

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