All about civil construction knowledge- PARAM VISIONS

How to calculate the load transfer from a slab to the beam?/Calculating the load over the beam from a one-way slab.

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




Given data:

Span of beam B1= 5500mm. = 5.5m.

Span of beam B2 = 2500mm. = 2.5m.

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


Calculation:

Lx /Ly = 5500mm. / 2500mm. 

           = 2.2 > 2.

Therefore it is a one-way slab.

The load distribution of one-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 /m.

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

= [ (0.23m. x 0.45m.) × 25 KN/m³]

2.588 KN/m.

Total self-wt. of the beam

= [ beam wt./m × span of the beam]

= [2.588KN/m × 5.5m.]

14.234 KN.

Factored self-wt. of the beam

= [1.5 × 14.234]

= 21.351KN.


b.) Load transferred from slab to the beam B1

  = [1/2 x (area of slab) x 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 x (5.5  x 2.5) x 12.94]

The value of is taken from the article

How to calculate the total load over the RCC slab?

= 88.96KN.


Total factored load over the beam B1

= [Factored self wt. of the beam + factored load from the slab]

= [21.351 + 88.96]

110.311KN.


2. Beam - B2:

Total load over the beam B2

= [Self wt. of the beam]

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 × 2.5m.]

9.70 KN.


Total factored load over the beam B2

= 9.70KN.


Note: Beam-B2 does not carry any load from the slab.


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

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