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The precast floor beam is made from concrete having a specific weight of 23.6KN/m3. If it’s to be used for a floor of an office building, calculte it’s dead and live loadings per foot length of beam.

Question

The precast floor beam is made from concrete having a specific weight of 23.6KN/m3. If it’s to be used for a floor of an office building, calculte it’s dead and live loadings per foot length of beam.

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Step 1

We have been given the following information

Unit weight of concrete = 23.6 kN/m3.

We are required to calculate  the value of dead loading per foot length of beam and live loading per foot length of beam.

Considering the following  precast floor beam section for the given question:

:

1.5 m
0.15 m
0.3 m
0.15 m
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1.5 m 0.15 m 0.3 m 0.15 m

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Step 2

The dead load can be calculated as follows:

Deadload
XA
the unit weight of concrete
Where,
and A is the area of concrete.
Area of concrete [0.15m x1.5m]+[0.15m x0.3m]
Area of concrete = [0.225 m2]+[0.045m2]
Area of concrete = 0.270m2
Substitute the values, we have
kN
Deadload 23.6x0.270m2
Deadload 6.372
m
kN
Deadload 6.372
3.280ft
m
kN
Deadload 1.943
ft
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Deadload XA the unit weight of concrete Where, and A is the area of concrete. Area of concrete [0.15m x1.5m]+[0.15m x0.3m] Area of concrete = [0.225 m2]+[0.045m2] Area of concrete = 0.270m2 Substitute the values, we have kN Deadload 23.6x0.270m2 Deadload 6.372 m kN Deadload 6.372 3.280ft m kN Deadload 1.943 ft

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Step 3

Now for calculating the live load, w...

Liveload LL xb
kN
Where, LL
is the live load, LL
= 2.40-
as per the
m
Minimum live loads on the floor of an office building, for futher detailings refer code
bi is the breadth of concrete section
Breadth of concrete = 1.50 m
Substitute the values, we have
kN
x1.50 m
Liveload 2.40
m
kN
3.60
Liveload
m
kN
Liveload 3.60
1m
3.280ft
m
kN
Liveload 1.097
ft
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Liveload LL xb kN Where, LL is the live load, LL = 2.40- as per the m Minimum live loads on the floor of an office building, for futher detailings refer code bi is the breadth of concrete section Breadth of concrete = 1.50 m Substitute the values, we have kN x1.50 m Liveload 2.40 m kN 3.60 Liveload m kN Liveload 3.60 1m 3.280ft m kN Liveload 1.097 ft

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