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Basic Industrial Math

Course #: Block X21
Duration: 30 hours
What Students Learn: This module of six study units offers the trainee arithmetic and basic mathematics, metric measurement, and calculator fundamentals. The Metric System is an introductory unit which includes metric conversions. Problem exercises and examples in this module are presented in on-the-job scenarios with applications drawn from the industrial context.
Components: Addition and Subtraction (186008); Multiplication and Division (186009); Fractions, Percents, Proportions, and Angles (186010); Metric System (186011); Formulas (186012); Introduction to Algebra (186013);
Special Notes: This updated course replaces lessons contained within Practical Math and Measurements, Block X01. Each study unit contains a progress examination.

Addition and Subtraction

Course #: 186008
Duration: 5 hours
What Students Learn:

  • Define the terms: whole number, numeral, digit, decimal, place value, addend, sum, minuend, subtrahend, and difference.
  • Explain the significance of the digit zero in a number.
  • Differentiate between concrete and abstract numbers.
  • Properly prepare numbers for addition and subtraction.
  • Perform addition and subtraction on numbers.
  • How to check your answers to both addition and subtraction problems.
  • How to use a calculator to add and subtract numbers.


Multiplication and Division

Course #: 186009
Duration: 5 hours
What Students Learn:

  • Define the terms: factor, multiplicand, multiplier, partial product, dividend, divisor, quotient, and remainder.
  • Recognize the various signs used for multiplication and division.
  • Properly prepare numbers for multiplication and division.
  • Perform multiplication and division on whole numbers and decimals.
  • How to check your answers to both multiplication and division problems.
  • How to find the average of a group of numbers.
  • How to use a calculator to multiply and divide numbers.

    • Fractions, Percents, Proportions, and Angles

    Course #: 186010
    Duration: 5 hours
    What Students Learn:

  • Define the terms: fraction, proper fraction, improper fraction, lowest common denominator, percent, ratio, and proportion.
  • How to add, subtract, multiply, and divide fractions and decimals.
  • How to change fractions to decimals and decimals to fractions.
  • Solve problems involving percent.
  • How to use a protractor to measure angles.
  • Lay out templates for checking angles.
  • How to use a calculator to solve percent problems and to convert fractions to decimals.

    • Metric System

    Course #: 186011
    Duration: 5 hours
    What Students Learn:

  • Name the base units most commonly used in the metric system.
  • Identify metric prefixes and their values.
  • Apply conversion factors to increase or decrease metric base units.
  • Estimate lengths in metric units.
  • Express temperature in degrees Celsius.
  • Define the terms: mass, density, force, torque, and pressure. Identify the metric units used to measure each one.
  • How to use a calculator to convert one metric unit to another.

    • Formulas

    Course #: 186012
    Duration: 5 hours
    What Students Learn:

  • Explain the use of letters in formulas.
  • Prepare and use formulas to solve problems.
  • The use of formulas to calculate the perimeter of a triangle and rectangle, distance, area of a triangle, rectangle, and circle, volume of a pyramid, current in a circuit, and volume of a sphere.
  • How to use a calculator to find square root and solve formulas.
  • Transform and solve an equation.
  • Perform basic arithmetic operations with signed terms.
  • Substitute given numerical values for letters in a formula and find the unknown quantity.

    Special Notes: This updated course replaces 2468.

    • Introduction to Algebra

    Course #: 186013
    Duration: 5 hours
    What Students Learn:

  • Define the terms: term, constant, coefficient, exponent, monomial, trinomial, and polynomial.
  • Identify and combine like terms in an expression.
  • Multiply and divide terms containing exponents.
  • Remove parentheses from an expression and simplify the expression.
  • Perform basic arithmetic operations with signed terms.

    • Practical Measurements

    Course #: Block X22
    Duration: 25 hours
    What Students Learn: The five lessons in this block present the trainee with a broad overview of measurements found in an industrial setting. In addition to the basic measurements of length, temperature, energy, force, and power, the trainee will learn how materials are measured and handled in bulk quantities. Fluid measurements include the measuring of fluid flow, fluid pressure, and fluid level. All lessons include the metric conversions in addition to the English units.
    Components: Temperature Measurement (186023); Linear and Distance Measurement (186021); Bulk Measurement (186022); Energy, Force, and Power (186024); Fluid Measurement (186025);
    Special Notes: This updated course replaces the X0105 to X0109 lessons found in Practical Math and Measurements, Block X01. Each study unit contains a progress examination.

    Linear and Distance Measurement

    Course #: 186021
    Duration: 5 hours
    What Students Learn:

  • Recognize the difference between English and metric units of length.
  • Find the perimeter of rectangular, square, or triangular areas or objects, such as rooms or machine bases, after measuring the sides.
  • Calculate the circumference of circular objects like pipes of tanks after measuring the diameter.
  • Measure lengths with the aid of rigid and flexible rules, thickness gauges and screw pitch gauges.
  • Read a typical vernier scale and micrometer to take precise measurements.

    • Bulk Measurement

    Course #: 186022
    Duration: 5 hours
    What Students Learn:

  • Measure an angle by degrees.
  • Find the areas of rectangles, triangles, and circles.
  • Find the volumes of prisms, cylinders, and cones.
  • Find the weight of material stored in a container.
  • Determine the amount of material that can be stored or handled.
  • Discuss the types and uses of conveyors and weighing systems.

    • Temperature Measurement

    Course #: 186023
    Duration: 5 hours
    What Students Learn:

  • Change temperature units from one system to another.
  • Discuss the use of the various types of thermometers.
  • Select the type of thermometer to be used at certain temperatures.

    • Energy, Force, and Power

    Course #: 186024
    Duration: 5 hours
    What Students Learn:

  • Distinguish between the concepts of energy, force, and power.
  • Explain what the term "work" means, and how it is measured.
  • Know by sight the basic machines, lever, inclined plane, wedge, wheel and axle, and screw.
  • Solve simple problems that involve levers, mechanical advantage, and machine efficiency.
  • List the forms of energy that have important industrial applications, and the instruments used for measuring energy.

    • Fluid Measurement

    Course #: 186025
    Duration: 5 hours
    What Students Learn:

  • Understand the properties of fluids.
  • Determine the density, specific gravity, and viscosity of fluids.
  • Express pressure in three different units.
  • Measure the pressure of fluids using manometers and Bourdon tubs pressure gages.
  • Measure the flow rate of fluids using different types of flowmeters.

    • Types of Steam Generators

    Course #: 6632
    Duration: 10 hours
    Course Prerequisites: Basic Industrial Math (Block X21);
    What Students Learn: Introduction to Steam Generators; Water Tube Steam Boilers; Water Walls; Superheaters; Heat Recovery in Steam Generators; Industrial Applications of Steam Generators; Central Station Steam Generators; Types of Steam Generators - Marine Units, Waste-Heat Units, Packaged Boilers, Nuclear Units, and Hot Water Generators.

    Lubrication, Part 1

    Course #: 286091
    Duration: 10 hours
    What Students Learn: Preview
    Since the development of machinery, there has been a war against friction. Friction causes machinery to vibrate excessively, sound louder, use more energy to do a given job, and, most importantly, wear out faster. To counter friction, lubricants have been developed.

    Lubricants were once basic animal fats and plant oils used on simple machines. Today's lubricants are chemical compositions specially designed for specific types of machines and their work environment. There are now hundreds of types of oils and grease to select from, each tailored specifically for the machine or an individual component of any given machine.

    This study unit is designed to give students the information they need to understand how lubricants are blended into these very special compounds and how they are selected for various applications.

    Objectives
    When a student completes this study unit, he and she will be able to:

  • Describe the various types of friction.
  • Discuss how materials wear.
  • List the various functions lubricants perform in industry.
  • Explain how lubricants reduce friction.
  • Classify lubricants depending upon their composition, properties, and additives.
  • Understand why certain lubricants are chosen for certain tasks.
  • Explain how to safely handle and store lubricants.

    Contents
    Friction and Wear; The Purpose of Lubricants; How Lubricants are Classified; How Lubricants Work; Proper Lubricant Selection; Handling and Storing Lubricants Safely.

    Special Notes: This updated course replaces 2531A.

    • Lubrication, Part 2

    Course #: 286092
    Duration: 10 hours
    What Students Learn: Preview
    Lubricating equipment is one of the most important industrial maintenance activities performed. Lubricants reduce friction, which saves on energy costs. They reduce wear, which saves on equipment maintenance costs. Proper lubrication significantly reduces machine downtime resulting from broken or worn out components. In addition, proper lubricating practices help keep a machine in tolerance for a longer period of time.

    In today's world of twenty-four-hour-a-day, seven-days-a-week, plant operation, the role of lubrication takes on even greater importance. Equipment must be lubricated on a timely schedule, in the proper amounts, and with the correct lubricants to sustain long work cycles between planned shutdowns. This study unit will show you how to properly apply lubrication and maintain lubrication systems.

    Objectives
    When a student completes this study unit, he and she will be able to:

  • Explain how to manually apply various types of lubricants in an industrial environment.
  • Describe total-loss lubrication.
  • Identify a nonloss lubrication system's components and describe their operation.
  • Explain how to maintain a nonloss lubrication system.
  • Identify the proper lubrication procedures to use for special industrial applications including sealed bearings, oil-impregnated bearings and food-processing plants.
  • Explain how lubricant-conditioning systems work and how to maintain them.
  • Describe how automatic lubrication systems work and how to maintain them.
  • List the tasks involved in preventive and predictive lubrication maintenance.

    Contents
    Manual Methods of Lubrication; Lubricating Total-Loss Systems; Nonloss Lubrication Systems; Lubrication in Special Environments; Lubrication Conditioning; Automatic Lubrication Systems; Preventive and Predictive Lubrication Maintenance.

    Special Notes: This updated course replaces 2531B.

    • Bearings and Seals, Part 1

    Course #: 286093
    Duration: 10 hours
    What Students Learn: Preview
    Bearings of one type or another have been used since the invention of the most primitive machines. Bearings support rotating machine shafts as well as translating movement in machine components, and bearings keep the components in correct alignment.

    This study unit, will primarily discuss plain bearings. However, so that students understand the fundamental differences, it will briefly cover antifriction bearing operation. Students will get a basic understanding of the differences between plain bearings and antifriction bearings. The study unit will then discuss the various types of plain bearings and their uses in greater detail.

    Because bearings are used in such a wide range of applications, there are many factors to consider when selecting a bearing for a specific need. It is important that students understand these factors and the process for choosing the correct bearing and lubrication method for an intended application. In this study unit, students will also learn about the different techniques and tools used to properly install, lubricate, and remove bearings.

    Objectives
    When a student completes this study unit, he and she will be able to:

  • Understand what friction is and how bearings help reduce it.
  • Explain the difference between plain and antifriction bearings.
  • List the different types of plain bearings.
  • Understand the characteristics of plain bearings.
  • Know the importance of proper handling and installation of bearings.
  • Recognize the importance of proper bearing lubrication.
  • List the different materials used to make plain bearings and how material type affects their use.
  • Explain how to prevent premature bearing failure.

    Contents
    Introduction to Bearings; Journal Bearings; Other Types of Plain Bearings; Installing and Maintaining Plain Bearings; Plain Bearing Failure.

    Special Notes: This updated course replaces 2602.

    • Bearings and Seals, Part 2

    Course #: 286094
    Duration: 10 hours
    What Students Learn: Preview
    Bearings and seals are used in most every type of machine. This study unit will help you learn how to identify, lubricate, maintain, and replace antifriction bearings and seals.

    As students know, there are two types of bearings, plain and antifriction. Plain bearings use a sliding motion to reduce friction, while an antifriction bearing contacts the shaft it supports with a rolling element. This rolling motion helps reduce friction. The rolling motion produces less friction than the sliding motion produced from plain bearings. Therefore, the rotation of a shaft is smoother with an antifriction bearing.
    In this study unit, students will learn about the various types of antifriction bearings and their different parts. They will also learn about the basic characteristics of these bearings, and how to apply them to a particular shaft. The study unit will also cover proper installation and maintenance and properly applying them. An important part of proper application is correctly combining the various materials available in bearings with the material the shaft is made from.

    This study unit will also help students better understand seals. They will learn what a seal does, the different types of seals available, and how they are used. Students will also learn; the various types of material that seals are manufactured from, their advantages, the importance of maintaining bearings, and how to replace seals when they fail.

    Objectives
    When a student completes this study unit, he and she will be able to:

  • Identify the various elements used in antifriction bearings.
  • Properly identify and correct problems in antifriction bearings.
  • Choose the proper seal.
  • Choose and apply the proper lubricants for seals and antifriction bearings.
  • Understand the need for clearance and tolerances in bearings.
  • Identify the various parts of a seal.

    Contents
    Antifriction Bearings; Antifriction Bearing Replacement; Maintaining Antifriction Bearings; Installing and Maintaining Lip Seals.

    Special Notes: This updated course replaces 2602.

    • Introduction to Algebra, Geometry, and Trigonometry

    Course #: Block X02
    Duration: 72 hours
    Course Prerequisites: Basic Industrial Math (Block X21); Practical Measurements (Block X22);
    What Students Learn: This twelve lesson block is for those trainees requiring more advanced math subjects. The subject of algebra is covered in detail and the subjects of geometry and trigonometry are introduced in a practical manner.
    Because math skills vary widely, a placement test is available to determine the trainee's specific knowledge of the various areas. Test X0250: Introduction to Algebra, Geometry, and Trigonometry is divided into four sections: lessons X0201 through X0204; lessons X0205 through X0208; lessons X0209 through X0210; and lessons X0211 and X0212.
    Components: Algebra: Monomials and Polynomials (X0201); Algebra: Factoring (X0202); Algebra: Addition and Subtraction of Fractions (X0203); Algebra: Multiplication and Division of Fractions (X0204); Algebra: Linear Equations (X0205); Algebra: Simultaneous Linear Equations (X0206); Algebra: Determinants (X0207); Algebra: Quadratic Equations (X0208); Algebra: Exponents (X0209); Algebra: Radicals and Imaginary Numbers (X0210); Applied Geometry (X0211); Practical Trigonometry (X0212); Progress Examination Booklet (X0220); Progress Examination (X0221); Progress Examination (X0222); Progress Examination (X0223); Progress Examination (X0224); Placement Test: Introduction to Algebra, Geometry, and Trigonometry (X0250);

    Algebra: Monomials and Polynomials

    Course #: X0201
    Duration: 6 hours
    Course Prerequisites: Basic Industrial Math (Block X21); Practical Measurements (Block X22);
    What Students Learn:

  • Remove grouping symbols from algebraic expressions, dividing by a monomial when indicated.
  • Multiply binomials by monomials, trinomials, and other inomials.
  • Calculate the square root and the third power of given monomials.
  • Find special products involving binomials.
  • Divide one polynomial by another polynomial of lower degree.

    • Algebra: Factoring

    Course #: X0202
    Duration: 6 hours
    Course Prerequisites: Basic Industrial Math (Block X21); Practical Measurements (Block X22);
    What Students Learn:

  • Find the prime factors of certain binomials and trinomials.
  • Factor a given trinomial.
  • Use the Factor Theorem to factor a given polynomial.
  • Use factoring to find the roots of an equation.
  • Divide one polynomial by another polynomial of lower degree.
  • Find the lowest common multiple of several polynomials.

    • Algebra: Addition and Subtraction of Fractions

    Course #: X0203
    Duration: 6 hours
    Course Prerequisites: Basic Industrial Math (Block X21); Practical Measurements (Block X22);
    What Students Learn:

  • Recognize equivalent algebraic fractions.
  • Perform additions and subtractions involving algebraic fractions.
  • Reduce an algebraic fraction to its lowest terms.
  • Find the least common denominator for a group of algebraic fractions.

    • Algebra: Multiplication and Division of Fractions

    Course #: X0204
    Duration: 6 hours
    Course Prerequisites: Basic Industrial Math (Block X21); Practical Measurements (Block X22);
    What Students Learn:

  • Perform multiplications and divisions involving algebraic fractions.
  • Reduce an algebraic fraction to its lowest terms.
  • Find the least common denominator for a group of algebraic fractions.
  • Solve equations involving fractions or decimals.
  • Simplify complex fractions.

    • Algebra: Linear Equations

    Course #: X0205
    Duration: 6 hours
    Course Prerequisites: Basic Industrial Math (Block X21); Practical Measurements (Block X22);
    What Students Learn:

  • Recognize equations expressing mixture problems and other word problems.
  • Solve number problems, digit problems, and age problems.
  • Recognize the graph of a linear equation, given the graph or a set of points.

    • Algebra: Simultaneous Linear Equations

    Course #: X0206
    Duration: 6 hours
    Course Prerequisites: Basic Industrial Math (Block X21); Practical Measurements (Block X22);
    What Students Learn:

  • Recognize essential steps in the solving of simultaneous linear equations by addition, subtraction, comparison, graphing, and clearing of fractions.
  • Identify the classification of a system of equations.
  • Solve a system of linear equations.
  • Solve interest problems, lever problems, and work-sharing problems.

    • Algebra: Determinants

    Course #: X0207
    Duration: 6 hours
    Course Prerequisites: Basic Industrial Math (Block X21); Practical Measurements (Block X22);
    What Students Learn:

  • Evaluate a second-order determinant and expand a third-order determinant.
  • Recognize the standard form to be used in solving simultaneous equations by determinants.
  • Recognize determinants that represent the solutions of simultaneous equations in two or three unknowns.

    • Algebra: Quadratic Equations

    Course #: X0208
    Duration: 6 hours
    Course Prerequisites: Basic Industrial Math (Block X21); Practical Measurements (Block X22);
    What Students Learn:

  • Recognize the graphical solution of two equations.
  • Solve and recognize steps in the solution of systems of quadratic equations and systems of a quadratic and linear equation.
  • Solve a fourth-degree polynomial equation in quadratic form.
  • Use the quadratic formula to solve a quadratic equation, calculate the discriminant of a quadratic equation, and point out what can be known from a given discriminant.
  • Write a quadratic equation which has given roots.
  • Solve word problems involving quadratic equations.

    • Algebra: Exponents

    Course #: X0209
    Duration: 6 hours
    Course Prerequisites: Basic Industrial Math (Block X21); Practical Measurements (Block X22);
    What Students Learn:

  • Demonstrate an understanding of the meaning of a fractional exponent.
  • Apply the rules for positive and negative exponents in multiplication, division, and raising to powers.
  • Use radicals to convert fractional exponents and use fractional exponents to convert radicals.
  • Write a given number in standard form.

    • Algebra: Radicals and Imaginary Numbers

    Course #: X0210
    Duration: 6 hours
    Course Prerequisites: Basic Industrial Math (Block X21); Practical Measurements (Block X22);
    What Students Learn:

  • Simplify several radicals and then add like terms.
  • Rationalize the denominator of a fraction and eliminate an imaginary number from the denominator of a fraction.
  • Solve an equation containing several square roots.
  • Multiply, divide, and raise to powers terms containing radicals.

    • Applied Geometry

    Course #: X0211
    Duration: 6 hours
    Course Prerequisites: Basic Industrial Math (Block X21); Practical Measurements (Block X22);
    What Students Learn:

  • Recognize characteristics of angles and closed plane figures.
  • Distinguish between common geometric solids.
  • Apply the Pythagorean theorem.
  • Calculate perimeters and areas of a polygon, circle, and ellipse.
  • Apply the formula for area and volume of geometric solids.

    • Practical Trigonometry

    Course #: X0212
    Duration: 6 hours
    Course Prerequisites: Basic Industrial Math (Block X21); Practical Measurements (Block X22);
    What Students Learn:

  • Define trigonometric functions.
  • Use trigonometric tables and apply interpolation.
  • Solve right triangles.
  • Apply the laws of sines and cosines in solving oblique triangles.

    • Mechanical Power Transmission

    Course #: 286015
    Duration: 10 hours
    What Students Learn: Gears and Enclosed Gear Drives; Electric Motors; Maintenance of Gearing; Precision Chains and Chain Drives; Belt Drives; Correction for Shaft Misalignment; Clutches; Application Considerations for Mechanical Power Transmission.

    Special Notes: This updated course replaces course 2606.

    Elements of Chemistry

    Course #: 5011
    Duration: 10 hours
    Course Prerequisites: Practical Measurements (Block X22);
    What Students Learn: Chemistry and Matter; Chemical and Physical Changes; Chemical Classification of Matter, Elements, Compounds, Mixtures; Atoms and Molecules; Dalton's Atomic Theory; Atomic Weights; Molecular Weights; Electron Theory of the Structure of the Atom; Study of Electrons, Protons, Neutrons, Atomic Structure of Elements; Fundamental Laws of Chemistry; Laws of Conservation of Matter and Energy; Law of Definite Proportions; Valence Formulas; Equations; Typical Problems in Chemistry; Solutions; Metals, Nonmetals, Acids, Bases, and Salts; Ions and Theory of Ionization; Conductivity, pH, Electrolysis, Electroplating; Periodic Grouping of the Elements; Properties and Uses of Metallic and Nonmetallic Elements and Their Compounds; Nuclear Energy; Organic Chemistry; Structural Formulas, Hydrocarbons, Fatty Acids, Carbohydrates, Aromatic Compounds, Plastics.

    Heat, Part 1

    Course #: 686001
    Duration: 10 hours
    Course Prerequisites: Logarithms (5254); Introduction to Algebra, Geometry, and Trigonometry (Block X02);
    What Students Learn: The Nature of Heat; Temperature and its Measurement; The Measurement of Quantity of Heat; Expansion and Contraction; Change of State; Transfer of Heat; Heat and Work Relationships.

    Special Notes:

  • This course requires Logarithm Tables (0975).
  • This updated course replaces course 2582A.
  • The entire course consists of study units 686001-686002.

    • Heat, Part 2

    Course #: 686002
    Duration: 10 hours
    Course Prerequisites: Logarithms (5254); Introduction to Algebra, Geometry, and Trigonometry (Block X02);
    What Students Learn: Relationship between Pressure, Volume, Temperature, Weight of Gases, and the Gas Constant; Expansion of Gases; Compression of Gases; Closed Cycles; Carnot's Engine.

    Special Notes:

  • This course requires Logarithm Tables (0975).
  • This updated course replaces course 2582B.
  • The entire course consists of study units 686001-686002.

    • Logarithms

    Course #: 5254
    Duration: 10 hours
    Course Prerequisites: Basic Industrial Math (Block X21); Practical Measurements (Block X22);
    What Students Learn: Table of Common Logarithms; Table of Useful Numbers; Exponents; Logarithms of Numbers; Determination of Characteristics of a Logarithm; Determination of Mantissa of a Logarithm; Proportional Parts; Determination of Antilogarithms; Multiplication by Use of Logarithms; Division by Use of Logarithms; Finding Powers and Roots by Logarithms; Cologarithms; Hyperbolic Logarithms.

    Principles of Mechanics, Part 1

    Course #: 286007
    Duration: 10 hours
    Course Prerequisites: Practical Geometry and Trigonometry (5567); Basic Industrial Math (Block X21); Practical Measurements (Block X22);
    What Students Learn: Matter and Energy; Scope of Mechanics; Forms of Matter; Forms of Energy; Physical Properties of Bodies; Motion of Bodies; Velocity; Acceleration and Retardation; Weight and Mass; Work and Energy; Coordinate Systems; Precision in Computations; Newton's Laws of Motion; Uniform Motion; Variable Motion.

    Special Notes:

  • This updated course replaces course 6426A.
  • The entire course consists of study units 286007-286008.

    • Principles of Mechanics, Part 2

    Course #: 286008
    Duration: 10 hours
    Course Prerequisites: Practical Geometry and Trigonometry (5567); Basic Industrial Math (Block X21); Practical Measurements (Block X22);
    What Students Learn: Friction; Nature of Friction; Sliding Friction; Rolling Friction; Machine Elements; Levers; Inclined Plane; Wedges and Screw Threads; Wheel and Axle; Tackle; Pulleys; Gearing; Belts and Chains; Simple Harmonic Motion Centrifugal Force.

    Special Notes:

  • This updated course replaces course 6426B.
  • The entire course consists of study units 286007-286008.

    • Fluid Mechanics, Part 1

    Course #: 286010
    Duration: 10 hours
    Course Prerequisites: Plane Trigonometry (2309A-B); Logarithms (5254); Introduction to Algebra, Geometry, and Trigonometry (Block X02);
    What Students Learn: Physical Properties of Fluids; Intensity of Pressure; Water Pressures on Simple Immersed Surfaces; Buoyancy; Specific Gravity of Solids; Flow of Liquids Through Pipes; Losses of Head in Pipes; Bernoulli's Theorem; Venturi Meters.

    Special Notes:

  • This updated course replaces 5459A.
  • The entire course consists of study units 286010, 286011, and 286012.

    • Fluid Mechanics, Part 2

    Course #: 286011
    Duration: 10 hours
    Course Prerequisites: Plane Trigonometry (2309A-B); Logarithms (5254); Introduction to Algebra, Geometry, and Trigonometry (Block X02);
    What Students Learn: Resultant Forces Due to Liquid Pressure; Forces on Complex Surfaces; Graphic Representation of Pressures; Location of Center of Pressure; Uniform Flow of Water Through Pipes; Hydraulic Grade Line; Use of Chezy-Darcy Formula; Use of Hazen-Williams Formula; Design of Pipes; Discharge Through Orifices and Fittings.

    Special Notes:

  • This updated course replaces 5459B.
  • The entire course consists of study units 286010, 286011, and 286012.

    • Fluid Mechanics, Part 3

    Course #: 286012
    Duration: 10 hours
    Course Prerequisites: Plane Trigonometry (2309A-B); Logarithms (5254); Introduction to Algebra, Geometry, and Trigonometry (Block X02);
    What Students Learn: Nonuniform Flow of Water in Pipes with Nozzles; Compound Pipes in Series and in Parallel; Flow of Fluids Other Than Water; Reynolds Number; Flow of Water in Open Channels; Design of Channels; Rate of Discharge Through Weirs.

    Special Notes:

  • This updated course replaces 5459C.
  • The entire course consists of study units 286010, 286011, and 286012.

    • Steam

    Course #: 2620
    Duration: 10 hours
    Course Prerequisites: Logarithms (5254); Heat, Part 1 (686001); Introduction to Algebra, Geometry, and Trigonometry (Block X02);
    What Students Learn: Theory of Vaporization; Saturated Steam; Temperature-Heat Diagram; Generating Steam Heat Required for Evaporation at Different Pressures; Steam Tables; Definition of Entropy; Calculation of Change of Entropy; Use of Super-Heated Steam Table; Use of Mollier Heat Chart.

    Steam Generator Accessories

    Course #: 2585
    Duration: 10 hours
    Course Prerequisites: Types of Steam Generators (6632); Practical Measurements (Block X22);
    What Students Learn: A.S.M.E. Boiler Code; Safety Valves; Water Level Indicating Equipment; Steam Gages; Steam Generator Piping Systems and Valves; Soot Blowers; Air Preheaters; Dust Collectors; Monitoring Equipment; Sealing Systems.

    Steam Generator Design

    Course #: 2598A-B
    Duration: 20 hours
    Course Prerequisites: Steam (2620); Logarithms (5254); Types of Steam Generators (6632); Heat, Part 1 (686001); Heat, Part 2 (686002); Introduction to Algebra, Geometry, and Trigonometry (Block X02);
    What Students Learn: PART 1 (2598A). Purpose of Steam Generators; Utility Company Boilers; Industrial Boilers; Design Considerations.
    PART 2 (2598B). Conduction Heat Transfer; Thermal Conductivities of Common Steam Generator Materials; Radiant Heat Transfer; Radiation in Furnaces; Heat Balance for Steam Generator Furnaces; Convection Heat Transfer; Convection Equation for Cross Flow; Longitudinal Flow of Gases and Steam-Film Resistance; Combined Heat Transfer Modes.

    Pressure Parts for Steam Generators

    Course #: 2588
    Duration: 10 hours
    Course Prerequisites: Types of Steam Generators (6632); Practical Measurements (Block X22);
    What Students Learn: The A.S.M.E. Boiler and Pressure Vessel Code; Rules for Calculating Steam Generator Pressure Parts.

    Steam Generator Settings, Ducts, and Stacks

    Course #: 2587
    Duration: 10 hours
    Course Prerequisites: Types of Steam Generators (6632);
    What Students Learn: General Considerations of Steam Generator Settings; Materials Used in the Construction of Setting; Insulation for Refractory; Construction of the Setting; Design of the Setting; Preparing the Setting for Operation; Proportions of the Furnace; Ash-Removal Systems; Testing the Setting; Flues and Ducts; Draft; Stacks.

    Steam Boiler Operation and Maintenance

    Course #: 6734
    Duration: 10 hours
    Course Prerequisites: Basic Industrial Math (Block X21); Practical Measurements (Block X22);
    What Students Learn: Boiler Room Management; Details of Operation; Boiler Inspection; Boiler Maintenance, Cleaning, and Repair.

    Tanks and Pumps

    Course #: 5389
    Duration: 10 hours
    What Students Learn: Classification of Tanks; Pressure Tanks; Kinds of Pumps; Centrifugal Pumps; Pump Priming and Jet Pumps; Special Pumps; Selection of Pumps; Servicing of Pumps.

    Cold Water Supply

    Course #: 5384
    Duration: 10 hours
    What Students Learn: Measuring Water Service; Service Connections; Water Supply; Pneumatic Water Supply; Pressure and Suction Tank Connections; Fire Protection Systems.

    Hot Water Supply

    Course #: 5385
    Duration: 10 hours
    What Students Learn: Principles of Water Heating; Fire Heated Water Heaters; Steam Heated Water Heaters; Electric Water Heaters; Water Heating by Transfer; Storage Tanks and Temperature Control; Details of Hot Water Systems; Sizing Hot Water Piping.

    Pressure Vessel and Tank Print Reading

    Course #: 6691
    Duration: 10 hours
    Course Prerequisites: Practical Geometry and Trigonometry (5567); Elements of Print Reading (6719A-B); Basic Industrial Math (Block X21); Practical Measurements (Block X22);
    What Students Learn: Steam Generating Plants; Reservoirs and Standpipes; Miscellaneous Structures for Holding Various Liquids and Gases; Actual Industry Drawings used as Samples.

    Feedwater Treatment and Equipment

    Course #: 6727
    Duration: 10 hours
    Course Prerequisites: Elements of Chemistry (5011); Practical Measurements (Block X22);
    What Students Learn: Common Impurities Found in Feedwater; Types of Treatment; Boiler Feedwater; Regulating the Flow of Feedwater; Heating; Chemical Feeding; Testing of Feedwater.

    Fuels

    Course #: 5340
    Duration: 10 hours
    Course Prerequisites: Formulas (186012); Practical Measurements (Block X22);
    What Students Learn: Theory of Combustion; Types of Fuels; Fuel Analysis; Heat Loss; Burning Fuels for Maximum Energy; Other Sources of Energy.

    Properties of Materials

    Course #: 686005
    Duration: 10 hours
    Course Prerequisites: Formulas (186012); Practical Measurements (Block X22);
    What Students Learn: Effects of Forces on Materials; Stress and Deformation; Elastic Failure; Cohesive Properties of Solids; Heat and Cold Treatment; Modulus of Elasticity; Temperature Stresses; Structural Members; Tension Members; Shear; Connection of Steel Members; Members Subjected to Compound Stress; Beams; Columns; Shafts; Rope Drives; Properties of Metals, Nonferrous Metal, and Alloys.

    Special Notes: This updated course replaces course 5887.

    Pumps, Part 1

    Course #: 286001
    Duration: 10 hours
    Course Prerequisites: Hydraulic Components: Actuators, Pumps, and Motors (286061);
    What Students Learn: Modern Centrifugal Pumps; Operating Principles of Pumps; Classifications and Types of Pumps; Fundamental Pump Terms: pressure, vapor pressure, head, losses, cavitation, net positive suction head, specific speed, viscosity; Centrifugal Pump Performance Curves; Types of Pumping System Curves.

    Special Notes:

  • This updated course replaces course 2530A.
  • The entire course consists of study units 286001, 286002, and 286003.

    • Pumps, Part 2

    Course #: 286002
    Duration: 10 hours
    Course Prerequisites: Hydraulic Components: Actuators, Pumps, and Motors (286061);
    What Students Learn: Construction details of Centrifugal Pumps; Applications of Centrifugal Pumps; Installation and Maintenance of Centrifugal Pumps; Troubleshooting problems associated with Centrifugal Pump Operation.

    Special Notes:

  • This updated course replaces course 2530A.
  • The entire course consists of study units 286001, 286002, and 286003.

    • Pumps, Part 3

    Course #: 286003
    Duration: 10 hours
    Course Prerequisites: Hydraulic Components: Actuators, Pumps, and Motors (286061);
    What Students Learn: Rotary Pumps: classifications, installation and operating principles; Reciprocating Pumps: classifications, installation and operating principles; Power Pumps; Applications of Rotary and Reciprocating Pumps; Troubleshooting Rotary and Reciprocating Pumps.

    Special Notes:

  • This updated course replaces course 2530B.
  • The entire course consists of study units 286001, 286002, and 286003.

    • Air Compressors, Part 1

    Course #: 286013
    Duration: 10 hours
    Course Prerequisites: Metric System (186011);
    What Students Learn: Types of Compressors; Types of Comparison; Centrifugal Compressors; Axial-Flow Compressors; Construction Details of Centrifugal and Axial-Flow Compressors; Performance Curves; Installation and Performance Tests.

    Special Notes:

  • This updated course replaces course 2626A.
  • The entire course consists of study units 286013-286014.

    • Air Compressors, Part 2

    Course #: 286014
    Duration: 10 hours
    Course Prerequisites: Metric System (186011);
    What Students Learn: Reciprocating Compressors; Cylinder and Piston Arrangements; Construction Details of Various Types; Selection, Installation, and Operation of Reciprocating Compressors; Rotary Compressors; Construction Details; Lobe Compressors; Screw Compressors; Troubleshooting Rotary Compressors.

    Special Notes:

  • This updated course replaces course 2626B.
  • The entire course consists of study units 286013-286014.

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