Scaffolding and lifting calculators.Scaffold quantities, loads, ties, sling angles, rigging and ground bearing.

Layout and quantities

Layout and quantitiesNumber of bays and lifts for an independent scaffold

n_{b} = ⌈ \frac{L}{b} ⌉

Layout and quantitiesStandards, ledgers, transoms and braces (rule-based estimate)

N_{s} = 2 (n_{b} + 1)

Layout and quantitiesScaffold boards per lift and in total

n_{w} = ⌈ \frac{W_{p}}{b_{w}} ⌉

Tube and fittings

Tube and fittingsTotal tube length and weight (BS EN 39, 48.3 × 4.0 mm)

L_{t} = N_{s} H_{s} + N_{l} b + N_{t} L_{t r} + N_{b r} L_{b r} + L_{o}

Tube and fittingsFittings count estimate (BS EN 74 couplers)

N_{s} = 2 (n_{b} + 1)

Ties and wind

Ties and windTie count and tie pattern check (area per tie)

A = L H

Ties and windSheeting or netting area and wind force

A = L H

Loads

LoadsPlatform load per bay from the BS EN 12811-1 load class

P = q b w

LoadsLeg load estimate (self-weight plus platform load share)

A_{t} = \frac{b w}{2}

LoadsBase plate and sole board ground bearing pressure

A_{s} = \frac{L_{s} w_{s}}{1000000}

Edge protection

Edge protectionGuardrail and toe board lengths with height and gap check

L_{p} = L_{r} + n_{e} w

Towers

TowersMobile tower height-to-base ratio check (legacy rule of thumb)

r = \frac{H_{p}}{B}

Costs and time

Costs and timeScaffold hire cost over the job

C_{i} = A r_{e}

Costs and timeErection and dismantling labour time

T_{e} = \frac{A}{R_{e}}

Slings and hitches

Slings and hitchesSling leg tension from load and leg angle

T = \frac{W}{n \cdot \cos β}

Slings and hitchesMulti-leg sling WLL by the uniform load method (LEEA / BS EN 13414-1, BS EN 818-4)

{WLL}_{a} = M \cdot {WLL}_{1}

Slings and hitchesChoke hitch reduced WLL (×0.8)

{WLL}_{c} = 0.8 \times M \cdot {WLL}_{m}

Slings and hitchesBasket hitch WLL (textile, wire rope, chain)

{WLL}_{b} = M \cdot {WLL}_{1}

Slings and hitchesSling angle from leg length and pick-point spacing

β = \arcsin (\frac{s}{2 L})

Slings and hitchesD/d ratio and wire rope efficiency over a pin (informational)

r = \frac{D}{d}

Load and crane

Load and craneCentre of gravity of a composite load (plan, 2D)

M = m_{1} + m_{2} + m_{3} + m_{4}

Load and craneTandem lift: load share between two cranes or hooks

R_{B} = \frac{W a}{L}

Load and craneOutrigger mat ground bearing pressure

P = \frac{F \times 9.81}{L B}

Load and craneCrane load chart utilisation

W_{t} = m + m_{hb} + m_{r}

Load and craneWind force on a suspended load

q = 0.5 ρ v^{2}

Rigging

RiggingShackle selection by WLL (bow shackle, EN 13889 range)

{WLL}_{s} = \min {catalogue WLL \geq T}

RiggingWeight of a load from volume and density (steel, concrete, timber)

V = L b H n

RiggingTotal rigging weight and hook load

R_{g} = m_{hb} + m_{sp} + n_{s} m_{s} + n_{sh} m_{sh} + m_{o}

Scaffolding and lifting calculators.Scaffold quantities, loads, ties, sling angles, rigging and ground bearing.

Layout and quantities

Tube and fittings

Ties and wind

Loads

Edge protection

Towers

Costs and time

Slings and hitches

Load and crane

Rigging

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