DOME SLAB CALCULATION | QUANTITY SURVEY | VOLUME OF CONCRETE | AREA OF SHUTTERING -lceted LCETED INSTITUTE FOR CIVIL ENGINEERS

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Nov 13, 2021

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


DOME SLAB CALCULATION

DOME SLAB CALCULATION

(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

 Dome Slabs


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

Dome Slabs

 

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

Dome Slabs


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

Dome Slabs


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

 


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


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