calculations for road maintenance - utahltap.org• 120 yds • 53.33 yds • 19206.64 inches •...
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Calculations for Road Maintenance
objectives
•Provide a review of the mathematics commonly used in roadway maintenance to calculate areas, volumes, rates, and costs.
•Provide examples of common roadway maintenance math problem and their solutions.
Topics of discussion
•USING UNITS OF MEASUREMENT
•CALCULATING AREAS•CALCULATING VOLUMES
•CALCULATING RATES AND COSTS•MAINTENANCE PROBLEMS
CALCULATOR practice CALCULATOR PRACTICE
• MULTIPLYING
• 3.14 X 5
• 4 SQUARED =
• 15 X 28 X 42 =
• Square root of 64
• ANSWERS
• 15.7
• 16
• 17,640
• 8
2
Calculator practice
• ADDING
• 2 + 17.2 +28.22 + 9.5 =
• 14 + ½ +16 +121 =
• 29 + 1162.4 +7.62 =
• 1/15 + ½ + 1/16 =
56.92
151.5
1199.02
0.62917
CALCULATOR pRACTICE
• DIVIDING
17/34 =
5280/2 =
43560/4 =
• 0.5
• 2640
• 10890
Calculator Practice
• SUBTRACTING
• 56 – 28 =
• 365 – 65 =
• 41290 ‐56470 =
ANSWERS
28
300
‐14880
Calculator practice
• COMBINATIONS
• (145 * 872)‐ 38=
• 17 * 1/2000 *2000 =
• (pi) (2)
• 3.1416 *6SQUARED =
• ANSWERS
• 126,402
• 17
• 113.0976
Using units of measurementlinear or length
3
Linear measurement Length measurements
Field exercise Measuring your pace
GIVEN: YOUR AVERAGE FOOT STEP
WANTED: DETERMINE THE LENGTH OF
YOUR AVERAGE FOOT STEP FOR FIELD
USE ON THE PROJECT.
LAYOUT AND MARK 100 FEET ON A SIDEWALK OR ROAD.
WALK THE 100 FEET FOUR TIMES
WITH YOUR AVERAGE STEP
• SOLUTION: COUNT THE NUMBER OF STEPS IN 100 MEASURED FEET.
• AVERAGE STEP IS A RELAXED STEP THAT YOU NORMALLY REPEAT.
• AVERAGE THE NUMBER OF STEPS/4
• CALCULATE YOUR AVERAGE STEP LENGTH.
• MINE IS 2.52’
LTAP INSPECTOR’S MAINT. TABLES
Using units of measurementarea
Subdivision area layout
4
Area of a Circle
• Area of a circle = pi r squared
• Pi = 3.1416
• R = radius
• Formulas for perimeter, area, & volume are on last page of booklet. Page 22
Area of a circle
Page 22Using units of measurementvolume
Calculating volumes
5
Using units of measurementproblem 1
• Given:• 3 cubic feet
• 1 foot
• 7’ 6”
• 5 square feet
• 10 miles
• 7.5 gallons
• Wanted: What type of measurement is it?
• Volume, Linear, Area
Solution:
• Volume
• Linear
• Linear
• Area
• Linear
• volume
Measurement of areas
Using units of measurementproblem 2
• Given:
• Cubic inches in a cubic
• foot?
• Square feet in a square yard
• Cubic feet in a cubic yard.
• Lineal feet in a mile
• Square feet in an acre
• Wanted: How many?
• Solution:• 1728
• 9
• 27
• 5280
• 43560
Conversion factors
Using units 0f measurementproblem 3
Wanted: How many?
30 feet = ?yards
• 27 sq. ft. = ? Sq. yds.
• 5280 ft. = ? Miles
• 33 feet = ? Rods
• 6 sq. yd. = ? sq ft
• 2 cu yd = ? cu ft
• Solution:
• 10 yards
• 3 sq yards
• 1 mile
• 2 rods
• 54 sq ft
• 54 cu ft
FOOTBALL FIELDMeasurement conversion
6
Problem 2b use your conversion factors
• GIVEN: 1 FOOTBALL FIELD.
• WANTED:
• LENGTH IN FEET
• LENGTH IN YARDS
• WIDTH IN YARDS
• LENGTH IN INCHES
• NUMBER OF ACRES
• SOLUTION:
• 360 FT.
• 120 YDS
• 53.33 YDS
• 19206.64 INCHES
• 1.322 ACRES
Weight measurement
• Sixteen ounces
• Two thousand pounds
• Abbreviation for pound
• Abbreviation for tons
• Symbol for pound
• One pound
• One ton
• lb.
• T.
• #
Measuring weight
Converting pounds to tonsproblem 4
• Given: 56000 lbs.
• Wanted: Convert pounds to tons
Solution: 56000/2000=
28 Tons
Pounds to tons
7
Converting tons to poundsproblem 5
• Given:
• 23 tons
• Wanted: Convert to pounds
• Answer:
• 46,000 lbs.
Conversion factors
Weight measurementProblem 6
• Given:
• 15,000 lbs.
• 18,500 lbs.
• 3.5 tons
• 17 tons
• Wanted: Convert tons to lbs and lbs to tons
• Solution:
• 7.5 tons
• 9.25 tons
• 7000 lbs.
• 34,000 lbs.
Liquid MeasurementProblem 7
• GIVEN:
• A TANK HAS A CAPACITY OF 940 CUBIC FEET.
• WANTED:
• How many gallons of ashpaltcan be placed in the tank?
• SOLUTION:
• 7031.2 Gallons
Concrete sidewalk problem
8
Concrete sidewalk problemConcrete sidewalk problem 8
Calculating quantity of concrete order for sidewalkProblem 8
• Given: 4” Sidewalk 5 feet wide, length 100 feet
• Wanted: Calculate the quantity of ready mix concrete for 100 linear feet of sidewalk in cubic yards you need to order.
• Solution:
• 4”/12”/ft X 5 ft x 100 ft./27 cubic feet/ yard.
• 6.17 cubic yards
• How much would you order?
Asphalt emulsion coverageProblem 9
Asphalt emulsion 1000 gal coverage
Highway Maintenance Tables Applications – lineal feet covered by 1000 gal tank of emulsionProblem 9
• GIVEN:
• .35 gal/sqyd
• 22 feet wide
• WANTED:
• Calculating “Lineal feet covered by a 1000 – gallon Tank
• Lineal Coverage = 1000gal x (syd/gal) x (1/road width ft.) x (9sft/sqyd)
• SOLUTION:
• 1169 ft
9
Rates of application
Rates of application Gallons of Asphalt required per mile for various rates of applicationProblem 10
• Given:
• Appl rate = 0.40 gal/sqyd
• Road width = 24 ft
• Wanted:
Gallons of Asphalt per mile =
• (gal/sqyd) x rd. width x 1 (sqyd/9sqft) x 5280 ft/mile
• Answer
• 5632 gal
Rates of application Tons of aggregate per mile
10
Tons of aggregate per mile Tons of aggregates required per mile for various rates of applicationproblem 11
• Given:
• 300 #/sqyd, 16 ft wide
• Wanted: How man tons of aggregate per mile?
• Solution:
• Tons/mile=(lbs/sqyd)x(rd width)x (1sqyd/9sqft)x(5280ft/mile)x1ton/2000 lbs
• Answer
• 1408tons
Tons of aggregate per mile cubic Yards per 100 lineal feet
cubic Yards per 100 lineal feet Cubic yards of material required per 100 lineal feetProblem 12
• Given: Road Width = 24 ft,
• depth of gravel 6”
• Wanted:Howmany cubic yard/100 lineal feet?
• Solution:
• Cubic yds/100 ft=depth x (yd/36in) x road width x 100 ft x (1 sqyd/9 sqft)
• Answer
• 44.44 cuyds
11
Pounds of aggregate per square yard
cubic Yards per 100 lineal feet
Pounds of aggregate required per square yardProblem 13
• Given: 8 inches compacted depth
and 3200 #/cubic yd.
• Wanted: How many pounds of aggregate per square yard?
• Solution :#/sq yd = depth x (1yd/36 in) x (lbs/cu yd)
• Answer
• 711 #
Pounds of aggregate per square yard
Compacted weights of various materials
Trap rock
• form of igneous rock that tends to form polygonal vertical fractures
12
Weights of different rock products
• Limestone
Shale
• Pea gravel
• Sand
Conversion factors
Conversion factors
Questions ???????
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