#### Calculator for Tributory Load from One way and two way Slabs

One Way and Two Way Slab

This calculator is for finding the tributory load from one way and two way slabs to the supporting beams. A slab simply supported on beams/walls is callled as one way slab if the longer side to shorter side ratio is greater than 2 and it is called as two way slab if the longer side to shorter side ratio is less than or equal to 2. In the case of one way slab the load is transferred to only on the longer beams/walls supporting the slab i.e. the total floor load is distrubted equally on the two long side beam/walls. This load would be uniformly distributed on the long walls.

In the case of two way slab the load is transferred to all the long as well as the short beams/walls. This is calculated by dividing all the 90 degree angles into two parts of 45 degree and make the triangles and trapeziums as shown in the adjoining figure. The load to the long beam is transferred through the trapeziums attached to the beam and the load to the short beams is transferred through the triangles attached to those beams. Therefore the load on longer beams would be acting as trapezoidal load and the load on shorter beams would be triangular. This calculator is also calculating the intensities of the triangular as well as trapezoidal loads. It also calculates the intensities of equivalent UDL (uniformly distributed load) for both triangular as well as trapezoidal loads. Maximum Bending moment values on long and short beams are also calculated

Please refer to the figure and enter the required values in the form given below and then click "Calculate"

INPUT VALUES
Long Side of Slab 'L' (m):
Short Side of Slab 'B' (m):
Floor Load 'w' (kN/m2):
Please make sure that
all the distances are positive

OUTPUT RESULTS
Slab type:
Load on Long Beams Total Load on Long Beams (kN):
Trapezoidal Load intensity (kN/m):
Equivalent UDL intensity (kN/m):
Maximum Bending Moment (kNm):
Load on Short Beams Total Load on Short Beams (kN):
Triangular Load intensity (kN/m):
Equivalent UDL intnesity (kN/m):
Maximum Bending Moment (kNm):

The formula used for equivalent UDL is as given below

For Triangular Tributory Loading: Equivalent UDL = w B / 3

For Trapezoidal Tributory Loading: Equivalent UDL = w B ( 3 - 1 / (L / B)2 ) / 6

where w = floor load; L = Long side of slab; B = short side of slab.

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