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Earthwork Introduction

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Prismoidal formula. ERE 371. Computing Volumes. L. A0. A1. Average end ... L: distance between cross-sections. Example. A0 = 421.6 ft2 A1 = 392.3 ft2 L = 100 ft ... – PowerPoint PPT presentation

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Title: Earthwork Introduction


1
Earthwork Introduction
  • Definition of earthwork
  • Goal

2
Introduction (contd)
  • Application

3
Earthwork Process
  • Issue
  • Example

4
Terminology
  • Excavation or cut
  • Embankment or fill
  • Borrow
  • Waste

5
Terminology
  • Earthwork units
  • English
  • Cubic feet, cubic yards, acre-feet
  • Metric
  • Cubic meters

6
Stages of Earthwork Design
  • Earthwork generally includes
  • Earthwork is followed by

7
Computing Volumes
  • Issue
  • Alternative methods for computing volumes
  • Focus in ERE 371

8
Preliminary Study and Cross-section
  • Locate preliminary zone in project direction
  • Defining surface

9
Cross-sections on Trial Route Line
Plan view
10
Cross-sections
  • Purpose
  • Source
  • Designing

11
Designing Alternatives
Proposed road
b
s
s
Existing terrain
Alternative A
Alternative B
12
Computing Volumes
  • Estimate volume
  • Two common approaches
  • Average end areas method
  • Prismoidal formula

13
Computing Volumes
Average end areas V ½ (A0 A1)L
  • Where
  • A0, A1 end cross-section areas
  • L distance between cross-sections

Example A0 421.6 ft2 A1 392.3 ft2 L 100
ft V ½ (421.6 ft2 392.3 ft2)(100 ft) 40695
ft3 1507 yd3
14
Computing Volumes
A1
M
A0
L
  • Where
  • A0, A1 cross-section areas
  • M area of middle section
  • L distance between cross-sections

Prismoidal V L/6 (A0 4M A1)
15
Calculating End Areas
  • Issue
  • Approaches

16
Mass Distribution Analysis
  • Analyze designs to select most economical
  • Design must meet project requirements
  • Estimate economical way to distribute mass
  • Accomplished using mass diagrams

17
Mass Diagrams
  • Definition
  • Mass diagrams

18
Mass Diagrams
Profile
Grade points
Grade line
Stations
Elevation
Mass diagram
Volume
Stations
19
Mass Diagrams
Cut areas
Fill areas
Indicate grade points
Indicate points where ? cuts ? fills
Ground
Profile
Grade
Elevation
Mass diagram
Volume
20
Properties of Mass Diagrams
  • On mass diagram
  • Profile and mass diagram plotted for each design

21
Mass Diagrams
Fill areas
Cut areas
Any horizontal line on mass diagram is a balance
line within balance line cut fill
Profile
Elevation
Mass diagram
Volume
22
Mass Distribution Analysis
  • Compare mass diagrams to select design
  • Ideal
  • However

23
Mass Distribution Analysis cont.
  • More terminology
  • Haul
  • Free Haul
  • Free Haul Distance
  • Overhaul
  • Optimal condition

24
Economic (Cost-based) Approach
  • Issue
  • Limit of Profitable Haul (LPH)
  • Balance lines should never exceed LPH

25
Mass Diagrams
Profile
Grade line
Elevation
Mass diagram
Free Haul
LPH
LPH
Free Haul
Volume
26
Limit of Profitable Haul
  • LPH depends on factors such as

27
Final Analysis and Design
  • Confounding factors
  • Final stages

28
Readings
  • Chapter 26 sections 26.1 26.9, 26.13 26.14
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