Carpentry made easy

CARPENTRY MADE EASY
or the science and art of framing on a new and improved system, with specific instructions for building balloon frames, barn frames, mill frames, warehouses, church spires, etc. Comprising also a system of bridge building with bills, estimates of cost, and valuable tables.
BY WILLIAM E. BELL
Architect and practical builder
Philadelphia; Howard Challen
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Carpentry made easy
PREFACE.
The Author takes great pleasure in acknowledging the eminent services rendered him in the literary and scientific portions of this work, by E. N. Jencks, A. M., Professor of Mathematics and Natural Sciences; and the Public cannot fail to appreciate the value of his labors in these departments.
The inception of the work, its original designs, and the entire system, are mine. Whatever is found in it purely literary and scientific, I cheerfully attribute to his assistance. And believing that the work will supply a pressing want, and will be useful both to those who are devoted to the Mechanic Arts and to Amateurs who have felt the necessity of a faithful guide in house-building and other structures, especially in new settlements, I can confidently commend it to them as supplying this deficiency.
The inception of the work, its original designs, and the entire system, are mine. Whatever is found in it purely literary and scientific, I cheerfully attribute to his assistance. And believing that the work will supply a pressing want, and will be useful both to those who are devoted to the Mechanic Arts and to Amateurs who have felt the necessity of a faithful guide in house-building and other structures, especially in new settlements, I can confidently commend it to them as supplying this deficiency.
WILLIAM E. BELL.
INTRODUCTORY CHAPTER.
The Science and the Art of Framing.
No apology is offered for introducing to the Public a work on the Science and Art of Framing. By the Science of Framing is meant the certain knowledge of it, founded on mathematical principles, and for which the master of it can assign intelligent reasons, which he knows to be correct; while the Art of Framing is the system of rules serving to facilitate the practice of it, but the reasons for which the workman may or may not understand. That Carpentry has its rules of Science as well as its rules of Art, no intelligent mechanic can doubt. The rules of the Art are taught by the master-workman at the bench; or, more commonly, insensibly acquired by habit and imitation. But by whom have the rules of the Science been laid down, and where have its principles been intelligibly demonstrated?
Something New.
It is believed that this is the very first attempt ever made to bring the Science of Carpentry, properly so called, within the scope of practical mechanics.
Deficiencies of Former Works on Carpentry.
Whatever has formerly been published on this subject, that can, with any degree of propriety, be classed under the head of Science, has been only available by professional Architects and Designers, being written in technical language and mathematical signs, accompanied by no adequate definitions or explanations; and are as perfectly unintelligible to working-men of ordinary education as Chinese or Choctaw. On the other hand, the numerous works upon the Art of Carpentry, designed and published for the use of working-men, are sadly deficient in details and practical rules. They seem to take it for granted that the student is already familiar with his business; they furnish him with drafts and plans to work from; they tell him authoritatively that such or such an angle is the proper bevel for such a part of the frame; but they neither tell him why it is so, nor inform him how to begin and go on systematically with framing and erecting a building. These works are, in fine, chiefly valuable for their plates; and even these it is not always possible to work from with confidence and accuracy, because no man can work with confidence and accuracy in the dark: and he certainly is in the dark who does not understand the reasons on which his rules are founded.
The Author's Experience.
These facts and reflections have been impressing themselves upon the mind of the Author of this work for twenty years past, while he has been serving the Public as a practical carpenter. During much of this time it has been his fortune to have large jobs on hand, employing many journeymen mechanics, who claimed to understand their trade, and demanded full wages. But it has been one of the most serious and oppressive of his cares, that these journeymen knew so little of their business.
Few Good Carpenters.
They had, by habit, acquired the use of tools, and could perform a job of work after it had been laid out for them; but not more than one man in ten could himself lay out a frame readily and correctly.
Why Apprentices do not Learn.
Now, it is not commonly because apprentices are unwilling to learn, or incapable of learning, that this is so, but it is because they have not the adequate instruction to enable them to become master- workmen. Their masters are very naturally desirous to appropriate their services to their own best advantage; and that is often apparently gained by keeping the apprentice constantly at one branch of his business, in which he soon becomes a good hand, and is taught but little else; and when his time is his own, and he comes to set up business for himself, then he is made to feel his deficiencies. Should he have assistants and apprentices in his turn, he would be unable to give them proper instruction, even were he well disposed to do so - for he can teach them nothing more than what he knows himself.
In this condition, the young mechanic applies to books to assist him to conquer the mysteries of his Art; but he has not been able hitherto to find a work adapted to his wants. He anxiously turns the pages of ponderous quarto and folio volumes; he is convinced of the prodigious learning of the authors, but he is not instructed by them. On the one hand, their practical directions and rules are too meagre; and, on the other hand, their mathematical reasoning is too technical to yield our young working-man any real benefit or satisfaction. May not these faults be remedied? Is it not possible for instruction to be given, which shall be at once simple and practical in detail, and comprehensible and demonstrative in mathematical reasoning?
Design of this Work.
An attempt has been made, in this little work, to answer these questions affirmatively; and thus to supply a positive want, and to occupy a new field in the literature of Architecture. Its design is to give plain and practical rules for attaining a rapid proficiency in the Art of Carpentry; and also to prove the correctness of these rules by mathematical science.
Importance of Geometry to Carpenters.
No certain and satisfactory knowledge of framing can be gained without a previous acquaintance with the primary elements of Arithmetic and Geometry. It is presumed that a sufficient knowledge of Arithmetic is possessed by most mechanics in this country; but Geometry is not so commonly understood. It is not taught in our District Schools, and is looked upon as beyond the capacity of common minds. But this is a mistake. To mechanical minds, at least, the elements of Plane Geometry are so easily taught, that they seem to them to be almost self-evident at the first careful perusal; and mechanics have deprived themselves of much pleasure, as well as profit, in not having made themselves masters of this science.
Geometry in this Work.
Part I, is therefore devoted to so much of the Science of Geometry as is essential to the^ complete demonstration and thorough understanding of the Science and Art of Carpentry; and it is recommended to all mechanics into whose hands this volume may fall, to give their days and nights to a careful study of this part of the work. It is true that our rules and instructions in Carpentry are so plain and minute, that they are available to those who do not care to study Geometry at all; but the principles on which those rules are founded, and consequently the reasons why the rules are as they are, cannot, from their very nature, be made plain and intelligible to anyone except by a course of geometrical reasoning.
New Rules of Carpentry.
Part II. comprises the main body of the work, and is devoted particularly to the framing of buildings. The rules for obtaining the bevels of rafters, joists, braces, &c., as explained in this part of the work, it is believed, have never been published before. That such bevels could be so found has been known, for several years past, among master builders; and, to a limited extent, has by that means been made public; but this feature of the work will, no doubt, be new and useful to some mechanics who have followed the business for years, and will be especially useful to apprentices and young journeymen who have not yet completed their mechanical education.
They are Proved and Explained.
These rules have been here demonstrated by a new and rigid course of geometrical reasoning; so that their correctness is placed beyond doubt. The demonstrations are often given in foot-notes and in smaller print, so as not to interrupt the descriptive portion of the work, nor appall those who are not mechanically learned, by an imposing display of scientific signs and technical terms. In fact, it has been made a leading object, in the preparation of this work, to convey correct mechanical and scientific principles in simple language, stripped as much as possible of all technicalities, and adapted to the comprehension of plain working-men.
Bridge Building.
Part III. comprises a brief practical treatise on the framing and construction of Bridges, with bills of timber and iron given in detail, by the Use of which intelligent carpenters can construct almost any kind of a bridge. This part of the work does not, however, make any special claims to new discoveries, or to much originality; nor is it intended to supercede the use of those works specially devoted to Bridge Building; but it is believed it will be found more practically convenient and simple than some others of more im- posing bulk and of higher price.
Valuable Tables.
Part IV. contains a valuable collection of Tables, showing the Lengths of Rafters, Hip Rafters, Braces, &c., and also the weights of iron, the strength of timber, &c., &c., which will be found of the greatest convenience, not only to common mechanics but to professional designers, architects, and bridge builders. Some of these tables have been compiled from reliable sources; but the most important of them have been calculated and constructed, at a considerable amount of expense and labor, expressly for this work.
Humble and obedient servant,
The Author.
No apology is offered for introducing to the Public a work on the Science and Art of Framing. By the Science of Framing is meant the certain knowledge of it, founded on mathematical principles, and for which the master of it can assign intelligent reasons, which he knows to be correct; while the Art of Framing is the system of rules serving to facilitate the practice of it, but the reasons for which the workman may or may not understand. That Carpentry has its rules of Science as well as its rules of Art, no intelligent mechanic can doubt. The rules of the Art are taught by the master-workman at the bench; or, more commonly, insensibly acquired by habit and imitation. But by whom have the rules of the Science been laid down, and where have its principles been intelligibly demonstrated?
Something New.
It is believed that this is the very first attempt ever made to bring the Science of Carpentry, properly so called, within the scope of practical mechanics.
Deficiencies of Former Works on Carpentry.
Whatever has formerly been published on this subject, that can, with any degree of propriety, be classed under the head of Science, has been only available by professional Architects and Designers, being written in technical language and mathematical signs, accompanied by no adequate definitions or explanations; and are as perfectly unintelligible to working-men of ordinary education as Chinese or Choctaw. On the other hand, the numerous works upon the Art of Carpentry, designed and published for the use of working-men, are sadly deficient in details and practical rules. They seem to take it for granted that the student is already familiar with his business; they furnish him with drafts and plans to work from; they tell him authoritatively that such or such an angle is the proper bevel for such a part of the frame; but they neither tell him why it is so, nor inform him how to begin and go on systematically with framing and erecting a building. These works are, in fine, chiefly valuable for their plates; and even these it is not always possible to work from with confidence and accuracy, because no man can work with confidence and accuracy in the dark: and he certainly is in the dark who does not understand the reasons on which his rules are founded.
The Author's Experience.
These facts and reflections have been impressing themselves upon the mind of the Author of this work for twenty years past, while he has been serving the Public as a practical carpenter. During much of this time it has been his fortune to have large jobs on hand, employing many journeymen mechanics, who claimed to understand their trade, and demanded full wages. But it has been one of the most serious and oppressive of his cares, that these journeymen knew so little of their business.
Few Good Carpenters.
They had, by habit, acquired the use of tools, and could perform a job of work after it had been laid out for them; but not more than one man in ten could himself lay out a frame readily and correctly.
Why Apprentices do not Learn.
Now, it is not commonly because apprentices are unwilling to learn, or incapable of learning, that this is so, but it is because they have not the adequate instruction to enable them to become master- workmen. Their masters are very naturally desirous to appropriate their services to their own best advantage; and that is often apparently gained by keeping the apprentice constantly at one branch of his business, in which he soon becomes a good hand, and is taught but little else; and when his time is his own, and he comes to set up business for himself, then he is made to feel his deficiencies. Should he have assistants and apprentices in his turn, he would be unable to give them proper instruction, even were he well disposed to do so - for he can teach them nothing more than what he knows himself.
In this condition, the young mechanic applies to books to assist him to conquer the mysteries of his Art; but he has not been able hitherto to find a work adapted to his wants. He anxiously turns the pages of ponderous quarto and folio volumes; he is convinced of the prodigious learning of the authors, but he is not instructed by them. On the one hand, their practical directions and rules are too meagre; and, on the other hand, their mathematical reasoning is too technical to yield our young working-man any real benefit or satisfaction. May not these faults be remedied? Is it not possible for instruction to be given, which shall be at once simple and practical in detail, and comprehensible and demonstrative in mathematical reasoning?
Design of this Work.
An attempt has been made, in this little work, to answer these questions affirmatively; and thus to supply a positive want, and to occupy a new field in the literature of Architecture. Its design is to give plain and practical rules for attaining a rapid proficiency in the Art of Carpentry; and also to prove the correctness of these rules by mathematical science.
Importance of Geometry to Carpenters.
No certain and satisfactory knowledge of framing can be gained without a previous acquaintance with the primary elements of Arithmetic and Geometry. It is presumed that a sufficient knowledge of Arithmetic is possessed by most mechanics in this country; but Geometry is not so commonly understood. It is not taught in our District Schools, and is looked upon as beyond the capacity of common minds. But this is a mistake. To mechanical minds, at least, the elements of Plane Geometry are so easily taught, that they seem to them to be almost self-evident at the first careful perusal; and mechanics have deprived themselves of much pleasure, as well as profit, in not having made themselves masters of this science.
Geometry in this Work.
Part I, is therefore devoted to so much of the Science of Geometry as is essential to the^ complete demonstration and thorough understanding of the Science and Art of Carpentry; and it is recommended to all mechanics into whose hands this volume may fall, to give their days and nights to a careful study of this part of the work. It is true that our rules and instructions in Carpentry are so plain and minute, that they are available to those who do not care to study Geometry at all; but the principles on which those rules are founded, and consequently the reasons why the rules are as they are, cannot, from their very nature, be made plain and intelligible to anyone except by a course of geometrical reasoning.
New Rules of Carpentry.
Part II. comprises the main body of the work, and is devoted particularly to the framing of buildings. The rules for obtaining the bevels of rafters, joists, braces, &c., as explained in this part of the work, it is believed, have never been published before. That such bevels could be so found has been known, for several years past, among master builders; and, to a limited extent, has by that means been made public; but this feature of the work will, no doubt, be new and useful to some mechanics who have followed the business for years, and will be especially useful to apprentices and young journeymen who have not yet completed their mechanical education.
They are Proved and Explained.
These rules have been here demonstrated by a new and rigid course of geometrical reasoning; so that their correctness is placed beyond doubt. The demonstrations are often given in foot-notes and in smaller print, so as not to interrupt the descriptive portion of the work, nor appall those who are not mechanically learned, by an imposing display of scientific signs and technical terms. In fact, it has been made a leading object, in the preparation of this work, to convey correct mechanical and scientific principles in simple language, stripped as much as possible of all technicalities, and adapted to the comprehension of plain working-men.
Bridge Building.
Part III. comprises a brief practical treatise on the framing and construction of Bridges, with bills of timber and iron given in detail, by the Use of which intelligent carpenters can construct almost any kind of a bridge. This part of the work does not, however, make any special claims to new discoveries, or to much originality; nor is it intended to supercede the use of those works specially devoted to Bridge Building; but it is believed it will be found more practically convenient and simple than some others of more im- posing bulk and of higher price.
Valuable Tables.
Part IV. contains a valuable collection of Tables, showing the Lengths of Rafters, Hip Rafters, Braces, &c., and also the weights of iron, the strength of timber, &c., &c., which will be found of the greatest convenience, not only to common mechanics but to professional designers, architects, and bridge builders. Some of these tables have been compiled from reliable sources; but the most important of them have been calculated and constructed, at a considerable amount of expense and labor, expressly for this work.
Humble and obedient servant,
The Author.
CONTENTS
PART I - Geometry.
- Definitions
- Explanations of Mathematical Symbols
- Definitions of Mathematical Terms
- Axioms
- Proposition I. Theorem
- Proposition XXX. Problem
PART II - Carpentry
- Use of the Square in Obtaining Bevels
- The square described
- Pitch of the roof
- Bevels of Rafters
- Bevels of upper joints and gable-end studding
- Bevels of Braces
- Balloon Frames
- The sills (light sills)
- The studs
- The plates
- Raising and plumbing the frame
- The floor joists
- Upper joists
- Rafters
- Gable-end studs
- Framing the sills
- Work sides (of timbers)
- To take timber out of wind
- Spacing for windows and doors
- Mortices for the studs
- The gains (for joints)
- The draw bores
- A draw pin
- Supports for the upper joists
- Crowning of joists
- Bridging of joists
- Lining, or sheeting balloon frames
- Barn Frames
- Size of mortices
- Braces
- Pitch of the roof
- Purlins
- Length of the purlin posts
- Purlin post brace 5
- Purlin post brace mortices
- Upper end bevel of purlin post braces
- Mill Frames
- Cripple studs
- Trussed partitions
- Scarfing
- Straps and bolts (in scarfing)
- Scarfing over posts
- Floors in Brick Buildings
- Trimmer joists
- Circular Centres
- Elliptical Centres
- Arches
- Hip Roofs
- Hip Rafters
- Side bevel of hip rafters
- Down bevel of hip rafters
- Backing of hip rafters
- Lengths and bevels of the jack rafters
- Hips and Valleys
- Trapezoidal Hip Roofs
- Lengths of the irregular hip rafters
- Bevels of the irregular hip rafters
- Backing of hip rafters on trapezoidal and other irregular roofs
- Length of jack rafters
- Side bevels of jack rafters on the sides of the frame
- Side bevels of the jack rafters on the slant end of the frame
- Down bevel of the jack rafters on the beveled end of the frame
- Octagonal and Hexagonal Roofs
- Length of the hip rafters
- Bevels of the hip rafters
- Backing of the octagonal hip rafters
- Length of the jack rafters
- Width of the Building
- Roofs of Brick and Stone Buildings
- Lengths and bevels of the braces
- Dimensions of timbers for figs. 1 and 2
- Length of straining beam
- Church Spires
- Domes
PART III. - Bridge Building.
- Straining Beam Brides
- Trestle Brides
- Arch Truss Bridges
- General Principles of Bridge Building
PART IV. - Explanation of the Tables.
- Definitions of Terms and Phrases used in this Work
- Table I. Length of Common Rafters
- Table II Length of Hip Rafters
- Table III Octagonal Roofs
- Table IV. Length of Braces
- Table V. Weight of Square Iron
- Table VI. Weight of Flat Iron
- Table VII Weight of Round Iron
- Table VIII Weight and Strength of Timber
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