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Cable trench: excavation, pipe sand and filling

How much should I dig, and how much pipe sand and filling should there be?

Answer: A cable trench consists of the cable zone at the bottom (levelling layer, pipe and surrounding fill above pipe top) and backfill on top. DS 475 requires the surrounding fill to go at least 0.10 m above pipe top. The calculator works out the fixed excavation, how much sand or gravel the cable zone takes when the pipe's own volume is deducted, and how much backfill is needed for the rest up to ground level. The trench is calculated with vertical sides, thus at most 1.70 m deep.

Formula

Udgravning = længde × bundbredde × dybde

Ledningszone = længde × (bundbredde × (afretningslag + diameter + omkringfyldning) − π × r²), hvor r = diameter ÷ 2

Tilfyld = længde × bundbredde × (dybde − ledningszonens højde)

DS 475: surrounding fill must be at least 0.10 m above pipe top

Symbols and units in the formula
SymbolMeaningUnit
laengdeGrave lengthm
bundbreddeGrave bottom widthm
dybdeDepth from ground to bottom of trenchm
diameterPipe outer diametermm
underLevelling layer under the pipemm
overSurrounding filling above pipe topmm
=Sand/gravel for cable trenchm³
=Excavation (fixed dimension)m³
=Fill above cable zonem³
=Cable zone heightmm
=Pipe top depth below groundm

Validity and source

Source
DS 475 (cable zone: surrounding fill at least 0.10 m above pipe top)

Does not apply when

  • The quantities are fixed (compressed) measures. For ordering and removal you add loss factor/shrinkage (see «Soil swell»). Deeper than 1.70 m the excavation must have slope or bracing (see «Slope for excavation»), and then the excavation gets wider at the top than here.

Worked example

The calculator's own default values inserted. The figures are calculated with exactly the formula the tool uses.

Substituted

  • Grave length20 m
  • Grave bottom width0.60 m
  • Depth from ground to bottom of trench1.20 m
  • Pipe outer diameter110 mm
  • Levelling layer under the pipe100 mm
  • Surrounding filling above pipe top100 mm

Giver

  • Sand/gravel for cable trench3.53 m³
  • Excavation (fixed dimension)14.40 m³
  • Fill above cable zone10.68 m³
  • Cable zone height310 mm
  • Pipe top depth below ground0.99 m

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Sådan bruger du den

Til en ledningsgrav skal du vide, hvor meget der graves, hvor meget rørsand der skal til, og hvor meget tilfyld. Beregneren regner alle tre.

Step by step

  1. Mål længden og bundbredden.
  2. Skriv dybden.
  3. Skriv rørets diameter og lagene under og over.
  4. Læs mængderne.

Typical errors

  • At glemme rørets eget rumfang.
  • At fylde mindre end 0,10 m over rørtop.
  • At grave lodret dybere end 1,70 m.

Examples from everyday life

Stikledning i 110 mm

En 20 m stikledning i 110 mm graves 1,2 m ned med 0,6 m bund.

Grave length
20 m
Grave bottom width
0.6 m
Depth from ground to bottom of trench
1.2 m
Pipe outer diameter
110 mm
Levelling layer under the pipe
100 mm
Surrounding filling above pipe top
100 mm

It means: Du graver 14.4 m³, skal bruge 3.53 m³ rørsand og 10.68 m³ tilfyld. Rørtoppen ligger 0.99 m nede.

Hovedledning i 160 mm

En 42 m ledning i 160 mm graves 1,6 m ned med 0,8 m bund og 150 mm over røret.

Grave length
42 m
Grave bottom width
0.8 m
Depth from ground to bottom of trench
1.6 m
Pipe outer diameter
160 mm
Levelling layer under the pipe
100 mm
Surrounding filling above pipe top
150 mm

It means: Udgravningen er 53.76 m³, rørsand 12.93 m³ og tilfyld 39.98 m³. Ledningszonen er 410 mm høj.

Rule of thumb

Ledningszonen er røret plus 20 cm.

How to check the answer

Udgravning = sand + tilfyld + rør: 3,53 + 10,68 + 0,19 = 14,4 m³.