| No. | Name | Layer thickness, mm |
Density, kg/m³ |
Characteristic load, kg/m² |
Safety factor |
Design load | |
|---|---|---|---|---|---|---|---|
| kg/m² | kN/m² | ||||||
| PERMANENT LOADS | |||||||
| Self-weight of the slab | 2500 | 1.1 | |||||
| Mass of partitions | |||||||
| 1 | |||||||
| 2 | |||||||
| 3 | |||||||
| 4 | |||||||
| 5 | |||||||
| 6 | |||||||
| Snow load | 1.4 | ||||||
| Imposed load | |||||||
| TOTAL: | |||||||
About Load Calculation
The load calculation compiles loads and converts them to a consistent format for a floor slab, beam, or column. The results can be used as input data for subsequent checks of strength, deflection, and stability.
The calculation follows the Eurocode approach. Characteristic load values are collected by source. Then design values are formed using partial factors and, when needed, load combinations.
Guidelines and recommendations
Standards. The principles for collecting and combining actions follow EN 1990 (Basis of structural design) and EN 1991 (Actions on structures). For imposed loads, EN 1991-1-1 is used. For snow and wind actions, EN 1991-1-3 and EN 1991-1-4 are used if these actions are included in the load set.
Units and output. In the calculator, area loads are accumulated in kg/m². A parallel conversion to kN/m² is shown using the standard relationship:
q(kN/m²) = q(kg/m²) · 0.00981
Layer loads. If a layer is defined by thickness t (mm) and density ρ (kg/m³), the characteristic area load of the layer per 1 m² is calculated as:
qlayer(kg/m²) = (t/1000) · ρ
If a layer is entered directly as an area load (kg/m²), that value is used instead of calculating from thickness and density.
Partial factors for layers. Each layer has its own partial factor k. The design load of the layer equals the characteristic load multiplied by k:
qlayer,R = qlayer · k
In a typical setup, many layers use k = 1.2. The value may differ for specific materials or predefined rows.
Self-weight of the slab. First, the slab type is selected because it affects the average mass per 1 m² via the coefficient ktype. In the calculator, ktype is selected as follows:
- Hollow-core slab. ktype = 0.6. This is an approximate way to account for a lower mass compared to a solid slab.
- Ribbed slab. ktype = 0.25. This is an approximate way to account for reduced concrete volume due to ribs.
- Solid slab (cast-in-place). ktype = 1.0. The mass is calculated as for a solid reinforced concrete layer.
After ktype is selected, the slab mass per 1 m² is calculated from thickness a (mm) and the assumed reinforced concrete density 2500 kg/m³:
qslab(kg/m²) = (a/1000) · 2500 · ktype
Then the design self-weight is formed using a fixed factor 1.1:
qslab,R = 1.1 · qslab
Partitions on the slab. If partition loads are enabled, the calculator first computes the partition mass from geometry and material density. Then the mass is distributed over the slab area to obtain an equivalent load per 1 m²:
qpart(kg/m²) = (L · t · h · ρ) / Aslab
After that, the coefficient kperegorodki is applied. It depends on the partition height and brings the value to the design level:
qpart,R = qpart · kperegorodki
The calculator uses the following selection logic for kperegorodki. If the partition height is greater than 1600 mm, 1.1 is used. Otherwise, 1.2 is used.
Snow load. If snow is enabled, the characteristic value B is multiplied by 1.4:
qsnow,R = 1.4 · B
Imposed load. If imposed load is enabled, the characteristic value T is multiplied by the coefficient kpolezn:
qlive,R = T · kpolezn
Total design area load on the slab. The total is formed by summing all enabled design components. Components disabled in the calculator are taken as zero:
qtotal,R = qslab,R + qpart,R + Σ qlayer,R + qsnow,R + qlive,R
Conversion for beam and column. For a beam and a column, the calculator additionally forms values in kN/m and kN by converting from kg/m and kg using the same 9.81 relationship. The final value is taken as the sum of the design components for the selected element.
FAQs
Why are the coefficients 0.6 and 0.25 used for hollow-core and ribbed slabs?
This is a simplified way to account for the fact that these slabs are typically lighter than a solid slab for the same overall thickness. In the calculator, the slab type affects self-weight only. The geometry of voids or ribs is not modelled explicitly.
Where does the 1.1 factor for slab self-weight come from?
The calculator multiplies slab self-weight by 1.1 as a fixed factor to form a design value. This reflects the general Eurocode approach in EN 1990. Project-specific factors should be taken from the applicable National Annex.
How is the partition load calculated?
The partition mass is calculated from geometry and material density. The mass is then distributed over the slab area Aslab to obtain an equivalent load per 1 m². After that, the coefficient kperegorodki is applied based on partition height.
Why does the table show both kg/m² and kN/m²?
kg/m² is convenient for comparing with common reference values. kN/m² is the standard engineering unit for actions in Eurocodes. The conversion is performed using the fixed factor 0.00981.
Can the total value be used as the final load for a beam or a column?
Yes, load collection is a typical initial step. It is important that thicknesses, densities, and partial factors match your task. For design work, the factors and combination rules should be aligned with EN 1990 and the applicable National Annex.