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Structural Load Calculator

Floor load = dead load (slab self-weight plus finishes) and live load, combined with your code's factors. A 150 mm slab at 2,500 kg/m³ weighs 3.68 kN/m²; with 1.5 kN/m² of finishes and a 2.0 kN/m² live load, IS 456 gives 1.5 × (5.18 + 2.0) = 10.77 kN/m². A beam carrying a 4 m strip then takes 43.1 kN/m.

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Code and element
Floor loads
mm
kg/m³
kPa
kPa
Beam
m
m
Uniform load on a simply supported beamw = 43.07 kN/mspan 5 mmyconstructioncalculator.comNot to scale
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Results

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Line load on the beam
43.07kN/m
End reaction (simply supported)107.7 kN
Maximum bending moment (wL² ÷ 8)134.6 kN·m
Slab self-weight3.68 kPa
Dead load D (self-weight + finishes)5.18 kPa
Live load L2.00 kPa
Factored load per area10.77 kPa

Preliminary loads for sizing only. Add the beam self-weight, check other load cases and continuity, and have a structural engineer design the member.

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Working
  1. Self-weight = 0.150 m × 2,500 kg/m³ × 9.81 ÷ 1,000 = 3.68 kPa; D = 3.68 + 1.50 = 5.18 kPa
  2. IS 456 / IS 875: 1.5(D + L) → 10.77 kPa
  3. Line load w = 10.77 × 4.00 m = 43.07 kN/m
  4. Reaction = wL ÷ 2 = 107.7 kN; moment = wL² ÷ 8 = 134.6 kN·m (span 5.00 m)

Results are estimates for planning and material ordering only. They are not a substitute for structural design or approval by a qualified engineer. Read the full disclaimer.

Formula

Self-weight  = slab thickness × density × g
Dead load D  = self-weight + finishes, partitions and services
ASCE 7:  w = max(1.4D, 1.2D + 1.6L)     IS 456:  w = 1.5(D + L)     EN 1990:  w = 1.35G + 1.5Q
Beam:    line load = w × tributary width;  reaction = wL ÷ 2;  moment = wL² ÷ 8
Column:  load = w × tributary area × floors

Worked Example

A beam carrying a 4 m strip of a 150 mm slab, 5 m span, IS 456:

  1. Self-weight = 0.15 × 2,500 × 9.81 ÷ 1,000 = 3.68 kN/m²; D = 3.68 + 1.5 = 5.18 kN/m²
  2. w = 1.5 × (5.18 + 2.0) = 10.77 kN/m²
  3. Line load = 10.77 × 4 = 43.07 kN/m
  4. Reaction = 43.07 × 5 ÷ 2 = 107.7 kN; moment = 43.07 × 5² ÷ 8 = 134.6 kN·m

Imposed Floor Loads, IS 875 (Part 2): 1987, Table 1

Occupancy Uniform load (kN/m²) Concentrated load (kN)
Dwelling houses: all rooms and kitchens 2.0 1.8
Dwelling houses: toilets and bathrooms 2.0 –
Dwelling houses: corridors, passages, staircases, store rooms 3.0 4.5
Dwelling houses: balconies 3.0 1.5 per metre run at the outer edge
Hotels and hostels: living rooms, bedrooms, dormitories 2.0 1.8
Hotels and hostels: dining rooms, cafeterias, restaurants 4.0 2.7
Hotels and hostels: office rooms 2.5 2.7
Educational buildings: classrooms and lecture rooms 3.0 2.7
Garages for cars up to 2.5 tonnes 2.5 9.0

For the US, take live loads from ASCE 7 Table 4.3-1 (IBC Table 1607.1); for the UK and Europe, from EN 1991-1-1 and its national annex.

Frequently Asked Questions

What is the difference between dead load and live load?

Dead load is the permanent weight of the structure and fixed finishes: slab, screed, tiles, ceilings, partitions and services. Live (imposed) load is what the use puts on the floor: people, furniture and stored goods, taken from the loading code for that use.

Which load factors should I use?

Use the combination from the code you design to: ASCE 7 (LRFD) 1.2D + 1.6L and at least 1.4D in the US; IS 456 1.5(D + L) in India; EN 1990 equation 6.10, 1.35G + 1.5Q, with the national annex in the UK and Europe.

How do I find the tributary area?

Draw lines halfway to the next beam or column on each side. A beam with beams 4 m away on both sides carries a strip 4 m wide; an inside column on a 5 × 5 m grid carries 25 m² per floor.

What live load should I use for a house?

Take it from your code for the room use. IS 875 Part 2 gives 2.0 kN/m² for rooms and kitchens in dwelling houses and 3.0 kN/m² for corridors, stairs and balconies. In the US, use ASCE 7 Table 4.3-1 (also IBC Table 1607.1).

How much does a concrete slab weigh?

Thickness × density × gravity. A 150 mm slab at 2,500 kg/m³ is 0.15 × 2,500 × 9.81 ÷ 1,000 = 3.68 kN/m²; a 6 in slab at 150 lb/ft³ is 75 psf.

Can I design a beam with these results?

Use them for preliminary sizing only. A structural engineer must check the full load cases, the member's own weight, continuity, deflection and the code's design rules.

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