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A course of study in building trade mathematics PDF

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A COURSE OF STUDY IN BUILDING TRADE MATHEMATICS A Project Presented, to the Faculty of the School of Education The University of Southern California In Partial Fulfillment of the Requirements for the Degree Master of Science in Education by Thomas Dee Parry February 1950 UMI Number: EP46009 Ail rights reserved INFORMATION TO ALL USERS The quality of this reproduction is dependent upon the quality of the copy submitted. In the unlikely event that the author did not send a complete manuscript and there are missing pages, these will be noted. Also, if material had to be removed, a note will indicate the deletion. Dissertation Publishing UMI EP46009 Published by ProQuest LLC (2014). Copyright in the Dissertation held by the Author. Microform Edition © ProQuest LLC. All rights reserved. This work is protected against unauthorized copying under Title 17, United States Code ProQuest LLC. 789 East Eisenhower Parkway P.O. Box 1346 Ann Arbor, Ml 48106-1346 'SO P & b-iT ’ This project report, written under the direction of the candidate’s adviser and approved by him, has been presented to and accepted by the Faculty of the School of Education in partial fulfillment of the requirements for the degree of Master of Science in Education. Adviser Dean ii TABLE OP CONTENTS CHAPTER PAGE 1. BUILDING PLANS: HOW TO WORK PROM BLUEPRINTS . . . ♦ . 1 A* MOTIVATION: Goals which you may achieve if you learn how to read blueprints • • • • • • ......... 1 B. DIRECTIONS: Key points to guide you in reading building plans . . . . • • • • ............... * . 1 1* LINES: How to construct according to the principal kinds of lines on a blueprint . . . 1 2. SYMBOLS: How to build or install fixtures properly according to symbols that pertain to the building trades • • • • • • • • . • • • 4 3. CONVENTIONS: How to build properly according to indicated dimensions « . . . . » • • . • • 7 4. SCALE REPRESENTATION: How to translate the drawing into structures of the proper proportions • • • . . . . . • • • • . • • . • 1 2 5. SOURCES FOR THIS CHAPTER: Where to get further assistance • • • • • . « • . . . . • . 13 C. ACTIVITY ASSIGNMENTS: Learning experiences to help you read blueprints .......... 15 D. EVALUATION: Check-ups which may be applied to your mastery of blueprint reading . . . . . . . . 15 2. FOUNDATIONS: HOW TO FORM AN ESTIMATE FOR FOUNDATION W O R K ........................................21 iii CHAPTER PACE A. MOTIVATION: Advantages of making good estimates for foundation work • • • • • • • • • • 21 B. DIRECTIONS: Some helpful guides to follow in making a foundation-work survey 21 1. EXCAVATION: How to figure the amount of piek and shovel work needed before laying the foundation • • • « • • • ............ 21 2* FORMS: How to determine the approximate quantities of materials required for wooden forms • . . • ............ 22 3* CONCRETE: How to calculate the amounts of cement, sand and rock needed . . • • . . « • 26 4. COSTS: How to compute the cost of foundation work................ 30 5. SOURCES FOR THIS CHAPTER: Where to get further assistance • • • . . . • ........... 32 C. ACTIVITY ASSIGNMENTS: Some learning experiences to enhance your skill in making a foundation- work survey • • • • • • « ........ . . . . . . . 32 D. EVALUATION: Check-ups which may be applied to your estimates of foundation work 33 5. STRUCTURE: HOW TO ESTIMATE FRAMING................... 35 A. MOTIVATION: Rewards that come from being able to estimate framing 1 . ............ 35 iv CHAPTER PAGE B« DIRECTIONS: Suggestions on how to figure the amounts and cost of framing materials and labor • 35 1* UNDERPINNINGS: How to determine the quantity of lumber needed for a sturdy foundation framework 35 2* FLOORS: How to figure the amount of material needed for floor framing 36 3* WALLS: How to estimate wall framing lumber ..................... 41 4* CEILINGS; How to compute the quantity of lumber needed for the ceiling structure • • • 44 5. ROOFS: How to calculate the amount of material required for the roof framework I . 44 6. COSTS: How to figure the amount of money needed for framing materials and labor . . « 48 7. SOURCES FOR THIS CHAPTER: Where to get further assistance . • • • • • • • • • • • • 50 C. ACTIVITY ASSIGNMENTS: Projects to perfect your ability to estimate framing materials............. 50 D. EVALUATION: Ways in which your mastery of framing estimating techniques may be checked . . 52 4« FLOOR SURFACES: HOW TO FIGURE MATERIALS AND COST OF FLOOR SURFACES....................... 55 V CHAPTER PAGE A. MOTIVATION: Advantages of making accurate computations for floor surfaces • • • • • • • • • 55 B. DIRECTIONS: Guides in calculating materials for floor surfaces . . . . . . . . . . 55 1* MEASUREMENT: How to calculate floor areas • 55 2. FLOOR SURFACES: How to figure the amount of common types of floor coverings required • 56 3. COSTS: How to compute the expense of finish flooring and labor . . . . . . . . . . 60 4. SOURCES FOR THIS CHAPTER: mere to get further assistance 63 C. ACTIVITY ASSIGNMENTS: Projects that will help you in figuring floor surfaces 63 D. EVALUATION: Methods which may be employed in checking your computations for floor surfaces . . 64 5. WALL COVERINGS: HOW TO COMPUTE THE COST OF LABOR AND MATERIALS FOR LATHING AND PLASTERING 1 ...........66 A. MOTIVATION: Outcomes of making good computations for wall coverings • • • * • • • • • 66 B. DIRECTIONS: Some pointers to help you in figuring the cost of materials and labor for lathing and plastering . . . . « • • . • • • • . 66 1. LATHING: How to calculate the quantity of materials needed as a base for plaster . . . 66 Vi CHAPTER PAGE 2. PLASTERING: How to figure the amount of materials for plastering 69 3. COSTS: How to determine the material and labor cost of lathing and plastering . • • • 71 4. SOURCES FOR THIS CHAPTER: Where to get further assistance . • • . . 73 C. ACTIVITY ASSIGNMENTS: Work to do to help you. in computing materials and labor cost for wall coverings . . • • 73 D. EVALUATION: An evaluation instrument which may be employed in relation to your calculation of wall coverings • 73 6. ROOF COVERINGS: HOW TO ESTIMATE ROOF COVERINGS . . . 76 A. MOTIVATION: Rewards for being able to figure the amount and cost of roofing materials • • • « 76 B. DIRECTIONS: Steps to follow in calculating quantities and costs of roof coverings • • • • • 76 1. MEASUREMENT: How to find roof areas . . . . 76 2. ROOFING: How to estimate the amount of materials needed 77 3. COSTS: How to figure the amount of money you will have to pay for roofing materials and labor • • • . . ................... 82 vii CHAPTER PAGE 4. SOURCES FOR THIS CHAPTER: Where to get further assistance • • • • » • • • • • • • • 84 C. ACTIVITY ASSIGNMENTS: Projects to help you to become proficient in estimating roof coverings . 85 D. EVALUATION: Check-ups which may be applied to your estimates of roof coverings ...........85 7, PROTECTIVE COVERINGS: HOW TO CALCULATE THE AMOUNT OF PAINT AND WALL PAPER REQUIRED . . .......... . . . 88 A. MOTIVATION: Gains that accrue from accurate figuring of protective coverings , . 88 B. DIRECTIONS: Practical suggestions on how to estimate painting and paper hanging • • • • • . . 88 1. EXTERIOR WORK: How to figure the quantity of paint needed to cover the outside • . • . 88 2. INTERIOR WORK: How to calculate the amount of paint to buy for the indoor areas . . . ♦ 92 3. WALL PAPER: How to determine the number of rolls of wall paper required ............... 94 4* COSTS: How to estimate the cost of materials and labor for painting and papering . . . . . 95 5. SOURCES FOR THIS CHAPTER: Where to get further assistance • • • • • • • 97 C. ACTIVITY ASSIGNMENTS: Projects for learning to compute the cost of painting and papering • • • • 97 viii CHAPTER PAGE D. EVALUATION: An evaluation instrument for checking your figuring for painting and wall papering • 93 BUILDING TRADE MATHEMATICS COLLECTION: A special reserve shelf for use in building trade mathematics courses, 1G0

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