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Contents
Jan 11, 2016
Contents. Section 1 —Introduction to Plumbing Section 2—Plumbing Systems Section 3—Plumbing System Design and Installation Section 4—Plumbing Services Section 5—Career Development and Plumbing History. Section 1. Introduction to Plumbing. Chapter 4. Mathematics for Plumbers. - PowerPoint PPT Presentation
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Permission granted to reproduce for educational use only.
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ContentsSection 1—Introduction to Plumbing
Section 2—Plumbing Systems
Section 3—Plumbing System Design and Installation
Section 4—Plumbing Services
Section 5—Career Development and Plumbing History
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Section 1
Introduction to Plumbing
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Chapter 4
Mathematics for Plumbers
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Objectives
Read a rule accurately to nearest 1/16.Add and subtract fractions and whole numbers.Compute pipe offsets using the Pythagorean theorem and trigonometric functions.Apply the formulas for finding area and volume.Explain and apply SI metric measure in finding length, area, volume, and temperature.Convert customary measure to metric measure.
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Measurement
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Measurement
Reading Fractions of an InchRead from nearest 1/4 divisions to get precise reading.
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MeasurementAdding Lengths
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Measurement
Subtracting Lengths
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Measurement
Subtracting Unequal Denominators
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MeasurementBorrowing from the Whole Number
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Changing Inches to Feet
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Changing Feet to Inches
Multiply the dimension given in feet by 12 to get the number of inches.
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Review
Identify each measurement indicated.
A.
B.
C.
D.
E. 1 11/163 1/163 13/164 9/165 1/2
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Review
Add the following dimensions:
A. 6 5/8 + 1 3/4 =
B. 3 3/16 + 4 3/4 =C. 2 8 3/8 + 4 6 15/16 =
D. 5 4 13/16 + 9 5/8 =
8 3/87 15/16
7 3 5/166 2 7/16
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Review
Subtract the following dimensions:
A. 9 3/4 – 3 3/8 =B. 1 2 1/4 – 8 1/8 =C. 12 6 3/4 – 7 4 7/8 =
D. 6 9 11/16 – 3 10 13/16 =
6 3/86 1/8
5 1 7/82 10 7/8
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Computing Pipe Offsets
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Computing Pipe Offsets
Pythagorean Theorem
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Computing Pipe Offsets
Pythagorean Theorem (continued) Pythagorean theorem applies to all right triangles.
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Computing Pipe OffsetsTrigonometric Functions
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Computing Pipe Offsets
Trigonometric Functions (continued)
Theoretical Length vs. Actual Length
Actual length of pipe = Theoretical length – Laying length of fittings
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Computing Pipe Offsets
Simple Methods
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Computing Pipe Offsets
Plumber’s Rule
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Review
Find the travel of the pipe required to join two pipes at a 45 angle that are offset at each of
the following distances:
A. 30 =
B. 18 =C. 1 3 =D. 2 9 =
42.42 or 4 7/1625.45 or 25 7/16
22.21 or 22 1/446.66 or 46 11/16
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Computing Area and Volume
Square or Rectangular Surface
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Computing Area and Volume
Area of Circles
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Computing Area and Volume
Volume of a Rectangular Tank
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Computing Area and Volume
Volume of a Cylindrical Tank
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Review
Compute the area of the following:
A. 6 6 square =
B. 4 9 12 3 rectangle =
C. 8 6 diameter circle =
D. 4 9 radius circle =
42.25 sq. ft.58.19 sq. ft.
2,289 sq. in.
10,202 sq. in.
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Review
Compute the volume of these tanks:A. B.
63 cu. ft.
615.44 cu. ft.
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Computing Slope of Pipe
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Metric MeasurementLength
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Metric MeasurementDry Volume
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Metric MeasurementLiquid Measures
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Metric Measurement
Temperature
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Review
Identify the metric units of measurement used when measuring:
A. Distance:
B. Liquid volume:
C. Dry volume:
D. Temperature:
meter, centimeter, millimeterliter or cubic centimeter
cubic meterCelsius or Kelvin
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Review
Convert each of the following customary measurements to the equivalent metric
measurement.A. Distance: 1 3 B. Liquid measure: 22 cu. ft. C. Dry volume: 135 cu. ft. D. Temperature: 85 F
68.44 cm.623.04 L
3.77 cu. meters29.7 Celsius
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End of Chapter 4
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