All about civil construction knowledge- PARAM VISIONS

How to calculate the total load over the RCC beam?/ Calculating the superimposed & dead load over the beam.

 Let us calculate the total load over the beams B1 & B2 as shown below.




Given data:

Span of beam B1= 4500mm. = 4.5m.

Span of beam B2 = 3000mm. = 3.0m.

Sectional dimension of all the beams = 230mm. x 450mm. = 0.23m. x 0.45m.


Calculation:

Lx /Ly = 4500mm. / 3000mm. 

           = 1.5 < 2.

Therefore it is a two-way slab.

The load distribution of 2-way slab over the beams are as shown below.




1. Beam - B1:

Total load over the beam B1

= [Self wt. of the beam + superimposed load from the slab]

Here, 

a.) Self wt. of the beam

= [(area of cross-section) × density of RCC]

= [ (0.23m. x 0.45m.) × 25 KN/m³]

= 2.588 KN/m.


Factored self wt. of the beam 

= [1.5 × 2.588KN/m.]

= 3.88 KN/m.


Total factored self-wt. of the beam

= [ factored wt./m × span of the beam]

= [3.88KN/m × 4.5m.]

= 17.46 KN.


b.) Load transferred from slab to the beam B1

=  [1/2 × ( Lx Ly - Lx²/2) × W] 


Before proceeding further, Go through the article 👇

👀.  Understanding the concept of the load distribution from slab to beam.

Where all the load distribution formula is derived 


= [1/2 × ( 3 × 4.5 - 3²/2) × 12.94

The value of W is taken from the article

How to calculate the total load over the RCC slab?

 = [ 1/2 × ( 9 ) × 12.94]

= 58.23KN.


Total factored load over the beam B1

= [Self wt. of the beam + load from the slab]

= [ 17.46 + 58.23]

= 75.69 KN.


2. Beam - B2:

Total load over the beam B2

= [Self wt. of the beam + superimposed load from the slab]

Here, 

a.) Self wt. of the beam

= [(area of cross-section) × density of RCC]

= [ (0.23m. x 0.45m.) × 25 KN/m³]

2.588 KN/m.


Factored self wt. of the beam 

= [1.5 × 2.588KN/m.]

3.88 KN/m.


Total factored self-wt. of the beam

= [ factored wt./m × span of the beam]

= [3.88KN/m × 3m.]

11.64 KN.


b.) Load transferred from slab to the beam B2

 [ (Lx²/4) x W]

[ (3²/4) x 12.94]

= [2.25 x 12.94]

= 29.11KN.


Total factored load over the beam B2

= [Self wt. of the beam + load from the slab]

= [ 11.64 + 29.11]

40.755 KN.


Thank you for going through these calculation steps. Have a good day 😄.

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