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Engineering · 11 calculators

Civil Engineering Calculators

Concrete, beam and column loads, slabs, rebar, concrete mix, excavation and earthwork, stairs, brickwork and footings.

Key civil engineering formulas

ConcreteVolume = length × width × depth (× π/4 × d² for round)
Beam LoadUDL: M = wL²/8 · Central point: M = PL/4 · Offset: M = Pab/L
Column LoadP_cr = π²EI / (KL)² · slenderness = KL / r
Concrete SlabVolume = area × thickness × (1 + waste)
Rebarbars = clear span ÷ spacing + 1, in each direction
Concrete Mix Ratiodry volume = wet × 1.54, then split by the ratio parts
Excavationbulked volume = in-situ volume × (1 + bulking factor)
Earthworknet = cut volume − compacted fill volume
Stairrisers = ceil(height ÷ max rise) · rise = height ÷ risers
Brickbricks = wall area ÷ (brick length + joint) × (brick height + joint)

Civil Engineering questions

How many bags of cement in 1 m³ of concrete?

For a 1:1.5:3 (M20) mix, roughly 8 bags of 50 kg cement per cubic metre, plus 0.42 m³ sand and 0.84 m³ aggregate.

What is a simply supported beam?

One resting on two supports that can rotate freely — no fixed end moments. It is the standard idealisation for a joist or lintel.

Why multiply by 1.54?

Dry materials lose volume when water fills the voids between particles. The 1.54 factor converts the wet volume you need into the dry materials to buy.

What is the ideal stair rise and going?

Around 180 mm rise and 250 mm going for a domestic staircase, giving an angle of about 36°.

How many bricks per square metre?

Standard UK bricks at a 10 mm joint give 60 bricks per m² for a single skin, or 120 for a one-brick wall.