Web viewSlab self weight = 0.15m x 24 kN/m ... -Beam self Weight =Beam size x concrete density =...

Quantify Dead Loads Acting on Structure

Ground Floor

Extended Deck:

Slab thickness = 100mm

Slab self weight = 0.1m x 24 kN/mᵌ

= 2.4 kN/m²

Extended Toilet :



= 2.4 kN/m²

First Floor

Gym room:



= 3.6 kN/m²

Brick Wall

=Wall Height x Tickness x Density

=3.0 m x 0.15m x 19 kN/mᵌ

=8.6 kN/m

Glass Wall

= wall Height x Thickness x Density

= 3.0 m x 0.04 x 26 kN/mᵌ

= 3.1 kN/m

Beam Self Weight

(assume that initial beam size 150mm x 300mm)

= Beam size x Concrete Density

= 0.15 m x 0.3 m x 24 kN/mᵌ

= 2.3 kN/m

Roof = 1.0kN/m²

Quantify Live Loads Acting on Structure

Ground Floor

Extended Deck:

1.5 kN/m²

Extended Toilet:

2.0 kN/m²

First Floor:

Gym Room:

2.5kN/m²

Roof:

0.5kN/m²

(According to 4th schedule of UBBL for live load according to the function of the space.)

Identify One Way or Two Way Slab

Indicating the distribution of load from slab to beam

Ly = Longer side of Slab

Lx =shorter side of Slab

When Ly / Lx > 2, it is a one way slab.

When Ly/lx < or =2, it is a two way slab.

Ground Floor

Extended Deck

=6.5 m / 2.5 m

=2.6 > 2 (one way slab)

Extended Toilet

=5.5 mm / 3 m

=1.8 < 2 (Two way slab)

First Floor Plan

Gym room

= 2.4 m / 1.4 m

= 1.7 < 2 (Two way slab)

= 2.4 m / 2.6 m


= 2.4 m / 1.5 m


Ground Floor Plan showing type of slabs

First Floor Plan showing type of slabs

Load Distribution Diagram

To identify how much load would be transferred from the slab to each adjacent beam.

Ground Floor Plan showing load distribution

First Floor Plan showing load distribution

Beam Analysis Calculation

1.Ground Floor Beam B, 3-51) Carries self weight – Dead load2) Slab Dead Load & Live Load

B-F / 3-5 (Two way slab)3) Brick wall- Dead load

-Beam self Weight =Beam size x concrete density

= 0.15 m x 0.3 m x 24kN/mᵌ

= 1.1 kN/m

-Brick wall weight = wall height x thickness x density

= 3 m x 0.15 m x 19kN/mᵌ

= 8.6 kN/m

Dead load on slab B-F / 3-5 (Two way slab)

Load is transferred to beam B, 3-5 in a triangular form.

Dead load from slab B-F / 3-5 = Dead load on slab x ( Lx / 2 )

= 2.4 kN/m² x ( 3m / 2 )

= 3.6 kN/m

- Total Dead Load Total for 3-5 = 1.1 kN/m + 8.6kN/m + 3.6 kN/m

= 13.3 kN/m

- Live Load on slab (One way slab)

Load is transferred to beam B, 3-5 in a UDL form.

Live Load from slab B-F / 3-5 = Live load on slab x (Lx /2)

= 2.0 kN/m² x ( 3m / 2)

= 3 kN/m

- Total live Load

Total for B-F / 3-5 = 3 kN /m

-Ultimate Load

Apply factor 1.4 and 1.6 to dead load and live load respectively.

Dead load 1-3 = 13.3 kN/m x 1.4 = 18.6 kN/m

Live load 1-3 = 3 kN/m x 1.6 = 4.8 kN/m

Ultimate Load 1-3 = 18.6 kN/m + 4.8 kN/m = 23.4 kN/m

- Reactions

∑M₃ = 0

= R ₅ᵧ(3) – 23.4 (3) ( 3/2)

= 3 R ₅ᵧ - 105.3

R ₃ᵧ = 35.1 kN

∑F ᵧ =0

= R ₃ᵧ + R ₅ᵧ - (23.4 x 3)

R ₅ᵧ = 70.2 – 35.1

= 35.1 kN

2.Ground Floor Beam, 3, A-F1) Carries self weight – Dead load2) Slab Dead Load & Live Load

A-F / 1-3 (One way slab) B-F/ 3-5 (two way slab)

3) Brick wall- Dead Load


= 0.15 m x 0.3 m x 24kN/mᵌ

= 1.1 kN/m

-Brick wall weight = 3m x 0.15m x 19kN/mᵌ

= 8.6kN/m

-Dead Load on slab A-F / 1-3 (One way slab)

Load is transferred to beam 3, A-F in a UDL form.

Dead load from slab A-F / 1-3 = Dead load on slab x ( Lx / 2 )

= 2.4 kN/m2 x ( 2.5m / 2 )

= 3 kN/m

-Dead Load on slab B-F/ 3-5 (two way slab)

Load is transferred to beam 3, A-F in a trapezoidal form. Convert the trapezoidal load into UDL.

Dead load from slab B-F/ 3-5 = 2.4 kN/m² x ( 3m / 2 )

= 3.6 kN/m

- Total Dead Load Total for A-B = 1.1kN/m + 3kN/m = 4.1 kN/m Total for B-F = 1.1 kN/m+ 8.6kN/m + 3kN/m + 3.6 kN/m

= 16.3 kN/m

- Live Load on slab A-F / 1-3 (One way slab)


Live Load from slab A-F / 1-3 = Live load on slab x (Lx /2)

= 1.5 kN/m² x ( 2.5m / 2)

= 1.9 kN/m

- Live Load on slab B- 3F / 3-5 (Two way slab)


Live Load from slab B-F/ 3-5= Live load on slab x (Lx /2)

= 2 kN/m² x ( 3 m / 2)

= 3 kN/m

- Total live Load

Total for A-B = 1.9kN /m

Total for B-F = 1.9kN/m + 3 kN/m

= 4.9 kN/m

-Ultimate Load


Dead load A-B= 4.1 kN/m x 1.4 = 5.7 kN/m

Dead Load B-F = 16.3 kN/m x 1.4 = 22.8 kN/m

Live load A-B = 1.9 kN/m x 1.6 = 3 kN/m

Live load B-F = 4.9 kN/m x 1.6 = 7.8 kN/m

Ultimate Load A-B = 5.7kN/m + 3kN/m = 8.7 kN/m

Ultimate load B-F = 22.8kN/m + 7.8 kN/m = 30.6 kN/m

- Reactions

∑Mᴬ = 0

= R Ḟᵧ(6.5) – 8.7 (1) ( ½+ 5.5)-24.3- 30.6 (5.5) ( 5.5/2)

= 6.5 R Ḟᵧ - 52.2- 24.3 – 462.8

R Ḟᵧ = 83 kN

∑F ᵧ =0

= R Ḟᵧ + Rᴬᵧ - (8.7 x 1) –24.3 - (30.6 x 5.5)

= Rᴬᵧ +83 - 8.7 – 24.3 – 168.3

Rᴬᵧ = 118.3 kN

3. First Floor Beam, B, 1-54) Carries self weight – Dead load5) Slab Dead Load & Live Load

B-D / 1-2 (Two way slab) B-D/ 2-4 (two way slab) B-D/ 4-5 (Two way slab)

6) Glass wall- Dead Load


= 0.15 m x 0.3 m x 24kN/mᵌ

= 1.1 kN/m

-Glass wall weight = 3m x 0.04 m x 26 kN/mᵌ

= 3.1 kN/m

-Dead Load on slab B-D / 1-2 (Two way slab)


Dead load from slab B-D / 1-2 = Dead load on slab x ( Lx / 2 )

= 3.6 kN/m² x ( 1.4 m / 2 )

= 2.5 kN/m

Convert triangular load to UDL by applying a factor of 2/3.

Dead load from slab B-D / 1-2 = (2/3) x 2.5kN/m

= 1.7kN/m

-Dead Load on slab B-D/ 2-4 (two way slab)

Load is transferred to beam B, 1-5 in a trapezoidal form. Convert the trapezoidal load into UDL.

Dead load from slab B-D/ 2-4 = 3.6 kN/m² x ( 2.4m / 2 )

= 4.3 kN/m

-Dead Load on slab 4-5/ B-D (Two way slab)


Dead load from slab 4-5 / B-D = Dead load on slab x ( Lx / 2 )

= 3.6 kN/m² x ( 1.5 m / 2 )

= 2.7 kN/m


Dead load from slab 4-5/ B-D= (2/3) x 2.7 kN/m

= 1.8 kN/m

- Total Dead Load Total for 1-2 = 1.1kN/m + 3.1 kN/m + 1.7kN/m = 5.9 kN/m Total for 2-4 = 1.1 kN/m+ 3.1 kN/m + 4.3 kN/m

= 8.5 kN/m

Total for 4-5 = 1.1kN/m + 3.1kN/m + 1.8 kN/m

= 6 kN/m

- Live Load on slab 1-2 / B-D (Two way slab)

Load is transferred to beam B,1-5 in a triangular form.

Live Load from slab 1-2 / B-D = Live load on slab x (Lx /2)

= 2.5 kN/m² x ( 1.4 m / 2)

= 1.8 kN/m


Live load from slab 1-2 / B-D = (2/3) x 1.8kN/m

= 1.2 kN/m


Load is transferred to beam B,1-5 in a trapezoidal form. Convert the trapezoidal load into UDL.


= 2.5 kN/m² x ( 2.4 m / 2)

= 3 kN/m


Load is transferred to beam B,1-5 in a triangular form.


= 2.5 kN/m² x ( 1.5 m / 2)

= 1.9 kN/m


Live load from slab 4-5 / B-D = (2/3) x 1.9 kN/m

= 1.3 kN/m

- Total live Load

Total for 1-2 = 1.2 kN/mTotal for 2-4 = 3kN/m

Total for 4-5 = 1.3kN/m

-Ultimate Load


Dead load 1-2= 5.9 kN/m x 1.4 = 8.3 kN/m

Dead Load 2-4 = 8.5 kN/m x 1.4 = 11.9 kN/m

Dead load 4-5 = 6kN/m x 1.4 = 8.4 kN/m

Live load 1-2 = 1.2 kN/m x 1.6 = 1.9 kN/m

Live load 2-4 = 3 kN/m x 1.6 = 4.8 kN/m

Live load 4-5 = 1.3kN/m x 1.6 = 2.1 kN/m

Ultimate Load 1-2 = 8.3 kN/m + 1.9 kN/m = 10.2 kN/m

Ultimate load 2-4 = 11.9 kN/m + 4.8 kN/m = 16.7 kN/m

Ultimate load 4-5 = 8.4 kN/m + 2.1 kN/m = 10.5 kN/m

- Reactions

∑M₁ = 0

= R ₅ᵧ(5.5) – 10.5 (1.5) (1.5/2 + 2.6)-15.6 – 16.7(2.6)(2.6/2 + 1.4)- 15.2- 10.2 (1.4) ( 1.4/2)

= 5.5 R ₅ᵧ - 52.8- 15.6 – 117.2 - 15.2 -10

R ₅ᵧ = 38.3 kN

∑5ᵧ =0

= R ₁ᵧ + R ₅ᵧ - (10.5 x 1.5) –15.6 - (16.7 x 2.6)- 15.2 – ( 10.2 x 1.4)

= R ₁ᵧ +38.3 – 15.8 – 15.6 – 43.4 –-15.2- 14.3

R ₁ᵧ = 65.9 kN

4. First Floor Beam, 2, B-D1) Carries self weight – Dead load2) Slab Dead Load & Live Load

B-D / 1-2 (Two way slab) B-D/ 2-4 (two way slab)


= 0.15 m x 0.3 m x 24kN/mᵌ

= 1.1 kN/m

-Dead Load on slab B-D / 1-2 (Two way slab)

Load is transferred to beam B, 1-5 in a trapezoidal form. Convert the trapezoidal load into UDL.

Dead load from slab B-D / 1-2 = Dead load on slab x ( Lx / 2 )

= 3.6 kN/m² x ( 1.4 m / 2 )

= 2.5 kN/m


Load is transferred to beam 2, B-D in a triangular form.

Dead load from slab B-D/ 2-4 = Dead load on slab x ( Lx / 2 )

= 3.6 kN/m² x ( 2.4 m / 2 )

= 4.3 kN/m


Dead load from slab B-D/ 2-4 = (2/3) x 4.3 kN/m

= 2.9 kN/m

- Total Dead Load Total for B-D = 1.1kN/m + 2.5 kN/m + 2.9kN/m = 6.5 kN/m

- Live Load on slab 1-2/B-D (Two way slab)

Load is transferred to beam 2, B-D in a trapezoidal form. Convert the trapezoidal load into UDL.


= 2.5 kN/m² x ( 1.4 m / 2)

= 1.8 kN/m


Load is transferred to beam 2,B-D in a triangular form.


= 2.5 kN/m² x ( 2.4 m / 2)

= 3 kN/m


Dead load from slab 2-4 /B-D = (2/3) x 3 kN/m

= 2 kN/m

- Total live Load

Total for B-D = 1.8 kN/m + 2kN/m = 3.8kN/m

-Ultimate Load


Dead load B-D= 6.5 kN/m x 1.4 = 9.1 kN/m

Live load B-D = 3.8 kN/m x 1.6 = 6.1 kN/m

Ultimate load B-D = 9.1 kN/m + 6.1 kN/m = 15.2 kN/m

- Reactions

∑Mᴮ = 0

= R ᴰᵧ(2.4) –15.2 (2.4) ( 2.4/2)

= 2.4 R ᴰᵧ - 43.8

R ᴰᵧ = 18.3 kN

∑D ᵧ =0

= R ᴰᵧ + Rᴮᵧ - (15.2 x 2.4)

= Rᴮᵧ + 18.3kN – 36.5

Rᴮᵧ = 18.2 kN

5.First Floor Beam, 4, B-D

3) Carries self weight – Dead load4) Slab Dead Load & Live Load

B-D / 4-5 (Two way slab) B-D/ 2-4 (two way slab)


= 0.15 m x 0.3 m x 24kN/mᵌ

= 1.1 kN/m



Dead load from slab 4-5/ B-D = Dead load on slab x ( Lx / 2 )

= 3.6 kN/m² x ( 1.5 m / 2 )

= 2.7 kN/m


Load is transferred to beam 4, B-D in a triangular form.

Dead load from slab B-D/ 2-4 = Dead load on slab x ( Lx / 2 )

= 3.6 kN/m² x ( 2.4 m / 2 )

= 4.3 kN/m


Dead load from slab B-D/ 2-4 = (2/3) x 4.3 kN/m

= 2.9 kN/m


- Live Load on slab 4-5 /B-D (Two way slab)



= 2.5 kN/m² x ( 1.5 m / 2)

= 1.9 kN/m


Load is transferred to beam 4,B-D in a triangular form.


= 2.5 kN/m² x ( 2.4 m / 2)

= 3 kN/m


Dead load from slab 2-4 /B-D = (2/3) x 3 kN/m

= 2 kN/m

- Total live Load

Total for B-D = 1.9 kN/m + 2kN/m = 3.9 kN/m

-Ultimate Load



Live load B-D = 3.9 kN/m x 1.6 = 6.2 kN/m

Ultimate load B-D = 9.4 kN/m + 6.2 kN/m = 15.6 kN/m

- Reactions

∑Mᴮ = 0

= R ᴰᵧ(2.4) –15.6 (2.4) ( 2.4/2)

= 2.4 R ᴰᵧ - 44.9

R ᴰᵧ = 18.7 kN

∑D ᵧ =0

= R ᴰᵧ + Rᴮᵧ - (15.6 x 2.4)

= Rᴮᵧ + 18.7kN – 37.4

Rᴮᵧ = 18.7 kN

6. First Floor Beam 5, B-D

1) Carries self weight – Dead load2) Slab Dead Load & Live Load

B-D / 4-5 (Two way slab)3) Brick wall- Dead load


= 0.15 m x 0.3 m x 24kN/mᵌ

= 1.1 kN/m

- Brick wall weight = 3.0m x 0.15m x 19kN/mᵌ

=8.6 kN/m



Dead load from slab 4-5/ B-D = Dead load on slab x ( Lx / 2 )

= 3.6 kN/m² x ( 1.5 m / 2 )

= 2.7 kN/m


- Live Load on slab 4-5 /B-D (Two way slab)



= 2.5 kN/m² x ( 1.5 m / 2)

= 1.9 kN/m

- Total live Load

Total for B-D = 1.9 kN/m

-Ultimate Load



Live load B-D = 1.9 kN/m x 1.6 = 3 kN/m

Ultimate load B-D = 17.4 kN/m + 3 kN/m = 20.4 kN/m

- Reactions

∑Mᴮ = 0

= R ᴰᵧ(2.4) –20.4 (2.4) ( 2.4/2)

= 2.4 R ᴰᵧ - 58.8

R ᴰᵧ = 24.5 kN

∑D ᵧ =0

= R ᴰᵧ + Rᴮᵧ - (20.4 x 2.4)

= Rᴮᵧ + 24.5 kN – 49

Rᴮᵧ = 24.5 kN

Load Distribution Diagram

Indicating the distribution of load from slab to column by using the tributary area method

Ground Floor Plan showing distribution of load from slab to column (1C)

First Floor Plan showing distribution of load from slab to column (2C)

Column analysis Calculation (tributary Area Method)

First Floor

2C 1D

Dead load

Slab = 3.4 m² x 3.6 = 12.2kN

Roof= 3.4m² x 1.0 = 3.4kN

Brick wall Weight = Wall height x base area x density

=3 x 0.15 x 7.9 x 19

= 67.5kN

Total dead load = 12.2 + 3.4 + 67.5 = 83.1kN

Live load

Slab = 3.4m² x 2.5 = 8.5 kN

Roof = 3.4m² x 0.5 = 1.7 kN

Total live load = 8.5 + 1.7 =10.2 kN

Ultimate load = Dead load x 1.4 + Live load x 1.6

=83.1kN x 1.4 + 10.2 x 1.6

= 132.6 kN

2C 5B

Dead Load

Slab = 3.6 m² x 3.6 = 13 kN

Roof= 3.6m² x 1.0 = 3.6 kN


=3 x 0.15 x 3.9 x 19

= 33.3 kN

Total dead load = 13 + 3.6 + 33.3 = 38.2 kN

Live load

Slab = 3.6m² x 2.5 = 9 kN

Roof = 3.6m² x 0.5 = 1.8 kN

Total live load = 9 + 1.8 =10.8 kN


=38.2 kN x 1.4 + 10.8 x 1.6

= 70.8 kN

Ground Floor

1C 5B

Dead Load

Slab = 16.5 m² x 2.4 = 39.6 kN


=3 x 0.15 x 8.5 x 19

= 72.7 kN

Dead load of upper floor = 38.2kN

Total dead load = 39.6 +72.7 + 38.2= 150.5 kN

Live load

Slab = 16.5 m² x 2 = 33 kN

Live load of upper floor = 10.8kN

Total live load = 33 + 10.8 = 43.8 kN


=150.5 kN x 1.4 + 43.8 x 1.6

= 280.8 kN

1C 1F

Dead Load

Slab = 16.3 m² x 2.4 = 39.1 kN

Roof= 16.3 m² x 1.0 = 16.3 kN


=3 x 0.15 x 8 x 19

= 68.4 kN

Total dead load = 39.1 + 16.3 + 68.4 = 123.8 kN

Live load

Slab = 16.3 m² x 1.5 = 24.5 kN

Roof = 16.3 m² x 0.5 = 8.2 kN

Total live load = 24.5 + 8.2 =32.7 kN


=123.8 kN x 1.4 + 32.7 x 1.6

= 225.6 kN

Web viewSlab self weight = 0.15m x 24 kN/m ... -Beam self Weight =Beam size x concrete density =...

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Transcript of Web viewSlab self weight = 0.15m x 24 kN/m ... -Beam self Weight =Beam size x concrete density =...