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Calculate the invert level at the end of a trench given its length, grade, and starting invert level.

Mathematics

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Answer

11.970 m\text{11.970 m}

Step-by-step solution

2 steps

Here are the calculations for B.T./N.B.T.:

  1. Calculate the total fall over the trench length.

    The grade is 1.65%1.65\%, and the trench length is 4.85 m4.85\, \text{m}.

    Fall=1.65100×4.85 m\text{Fall} = \frac{1.65}{100} \times 4.85\, \text{m} Fall=0.0165×4.85 m\text{Fall} = 0.0165 \times 4.85\, \text{m} Fall=0.079025 m\text{Fall} = 0.079025\, \text{m}
  2. Calculate the Invert Level (I.L.) at the end of the trench.

    The starting Invert Level (I.L.) at Connection Point "A" is 12.049 m12.049\, \text{m}.

    I.L. at end=Starting I.L.−Fall\text{I.L. at end} = \text{Starting I.L.} - \text{Fall} I.L. at end=12.049 m−0.079025 m\text{I.L. at end} = 12.049\, \text{m} - 0.079025\, \text{m} I.L. at end=11.969975 m\text{I.L. at end} = 11.969975\, \text{m}

    Rounding to three decimal places, the B.T./N.B.T. (Invert Level at the end of the trench) is 11.970 m\boxed{\text{11.970 m}}.

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