The Project Gutenberg eBook of The Mechanical Properties of Wood
Title: The Mechanical Properties of Wood
Author: Samuel J. Record
Release date: May 1, 2004 [eBook #12299]
Most recently updated: October 28, 2024
Language: English
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THE MECHANICAL PROPERTIES OF WOOD
Frontispiece
Frontispiece.
Photomicrograph of a small block of western hemlock. At the top is the cross section showing to the right the late wood of one season's growth, to the left the early wood of the next season. The other two sections are longitudinal and show the fibrous character of the wood. To the left is the radial section with three rays crossing it. To the right is the tangential section upon which the rays appear as vertical rows of beads. × 35. Photo by the author.
THE MECHANICAL PROPERTIES OF WOOD
Including a Discussion
of the Factors Affecting the Mechanical
Properties,
and Methods of Timber Testing
BY
SAMUEL J. RECORD, M.A., M.F.
ASSISTANT PROFESSOR OF FOREST PRODUCTS, YALE UNIVERSITY
FIRST EDITION
FIRST THOUSAND
1914
BY THE SAME AUTHOR
Identification of the Economic Woods of the United States.
8vo, vi + 117 pages, 15 figures. Cloth, $1.25 net.
TO THE STAFF OF THE
FOREST PRODUCTS LABORATORY, AT MADISON, WISCONSIN
IN APPRECIATION OF THE MANY OPPORTUNITIES
AFFORDED AND COURTESIES EXTENDED
THE AUTHOR
PREFACE
This book was written primarily for students of forestry to whom a knowledge of the technical properties of wood is essential. The mechanics involved is reduced to the simplest terms and without reference to higher mathematics, with which the students rarely are familiar. The intention throughout has been to avoid all unnecessarily technical language and descriptions, thereby making the subject-matter readily available to every one interested in wood.
Part I is devoted to a discussion of the mechanical properties of wood—the relation of wood material to stresses and strains. Much of the subject-matter is merely elementary mechanics of materials in general, though written with reference to wood in particular. Numerous tables are included, showing the various strength values of many of the more important American woods.
Part II deals with the factors affecting the mechanical properties of wood. This is a subject of interest to all who are concerned in the rational use of wood, and to the forester it also, by retrospection, suggests ways and means of regulating his forest product through control of the conditions of production. Attempt has been made, in the light of all data at hand, to answer many moot questions, such as the effect on the quality of wood of rate of growth, season of cutting, heartwood and sapwood, locality of growth, weight, water content, steaming, and defects.
Part III describes methods of timber testing. They are for the most part those followed by the U.S. Forest Service. In schools equipped with the necessary machinery the instructions will serve to direct the tests; in others a study of the text with reference to the illustrations should give an adequate conception of the methods employed in this most important line of research.
The appendix contains a copy of the working plan followed by the U.S. Forest Service in the extensive investigations covering the mechanical properties of the woods grown in the United States. It contains many valuable suggestions for the independent investigator. In addition four tables of strength values for structural timbers, both green and air-seasoned, are included. The relation of the stresses developed in different structural forms to those developed in the small clear specimens is given.
In the bibliography attempt was made to list all of the important publications and articles on the mechanical properties of wood, and timber testing. While admittedly incomplete, it should prove of assistance to the student who desires a fuller knowledge of the subject than is presented here.
The writer is indebted to the U.S. Forest Service for nearly all of his tables and photographs as well as many of the data upon which the book is based, since only the Government is able to conduct the extensive investigations essential to a thorough understanding of the subject. More than eighty thousand tests have been made at the Madison laboratory alone, and the work is far from completion.
The writer also acknowledges his indebtedness to Mr. Emanuel Fritz, M.E., M.F., for many helpful suggestions in the preparation of Part I; and especially to Mr. Harry Donald Tiemann, M.E., M.F., engineer in charge of Timber Physics at the Government Forest Products Laboratory, Madison, Wisconsin, for careful revision of the entire manuscript.
SAMUEL J. RECORD.
YALE FOREST SCHOOL, July 1, 1914.
CONTENTS
- PREFACE
- PART I
THE MECHANICAL PROPERTIES OF WOOD - Introduction
- Fundamental considerations and definitions
- Tensile strength
- Compressive or crushing strength
- Shearing strength
- Transverse or bending strength: Beams
- Toughness: Torsion
- Hardness
- Cleavability
- PART II
FACTORS AFFECTING THE MECHANICAL PROPERTIES OF WOOD - Introduction
- Rate of growth
- Heartwood and sapwood
- Weight, density, and specific gravity
- Color
- Cross grain
- Knots
- Frost splits
- Shakes, galls, pitch pockets
- Insect injuries
- Marine wood-borer injuries
- Fungous injuries
- Parasitic plant injuries
- Locality of growth
- Season of cutting
- Water content
- Temperature
- Preservatives
- PART III
TIMBER TESTING - Working plan
- Forms of material tested
- Size of test specimens
- Moisture determination
- Machine for static tests
- Speed of testing machine
- Bending large beams
- Bending small beams
- Endwise compression
- Compression across the grain
- Shear along the grain
- Impact test
- Hardness test: Abrasion and indentation
- Cleavage test
- Tension test parallel to the grain
- Tension test at right angles to the grain
- Torsion test
- Special tests
- Spike pulling test
- Packing boxes
- Vehicle and implement woods
- Cross-arms
- Other tests
- APPENDIX
- Sample working plan of United States Forest Service
- Strength values for structural timbers
- BIBLIOGRAPHY
- Part I: Some general works on mechanics, materials of construction, and testing of materials
- Part II: Publications and articles on the mechanical properties of wood, and timber testing
- Part III: Publications of the United States Government on the mechanical properties of wood, and timber testing
- ILLUSTRATIONS
- Frontispiece. Photomicrograph of a small block of western hemlock
- 1. Stress-strain diagrams of two longleaf pine beams
- 2. Compression across the grain
- 3. Side view of failures in compression across the grain
- 4. End view of failures in compression across the grain
- 5. Testing a buggy-spoke in endwise compression
- 6. Unequal distribution of stress in a long column due to lateral bending
- 7. Endwise compression of a short column
- 8. Failures of a short column of green spruce
- 9. Failures of short columns of dry chestnut
- 10. Example of shear along the grain
- 11. Failures of test specimens in shear along the grain
- 12. Horizontal shear in a beam
- 13. Oblique shear in a short column
- 14. Failure of a short column by oblique shear
- 15. Diagram of a simple beam
- 16. Three common forms of beams—(1) simple, (2) cantilever, (3) continuous
- 17. Characteristic failures of simple beams
- 18. Failure of a large beam by horizontal shear
- 19. Torsion of a shaft
- 20. Effect of torsion on different grades of hickory
- 21. Cleavage of highly elastic wood
- 22. Cross-sections of white ash, red gum, and eastern hemlock
- 23. Cross-section of longleaf pine
- 24. Relation of the moisture content to the various strength values of spruce
- 25. Cross-section of the wood of western larch showing fissures in the thick-walled cells of the late wood
- 26. Progress of drying throughout the length of a chestnut beam
- 27. Excessive season checking
- 28. Control of season checking by the use of S-irons
- 29. Static bending test on a large beam
- 30. Two methods of loading a beam
- 31. Static bending test on a small beam
- 32. Sample log sheet, giving full details of a transverse bending test on a small pine beam
- 33. Endwise compression test
- 34. Sample log sheet of an endwise compression test on a short pine column
- 35. Compression across the grain
- 36. Vertical section of shearing tool
- 37. Front view of shearing tool
- 38. Two forms of shear test specimens
- 39. Making a shearing test
- 40. Impact testing machine
- 41. Drum record of impact bending test
- 42. Abrasion machine for testing the wearing qualities of woods
- 43. Design of tool for testing the hardness of woods by indentation
- 44. Design of tool for cleavage test
- 45. Design of cleavage test specimen
- 46. Designs of tension test specimens used in United States
- 47. Design of tension test specimen used in New South Wales
- 48. Design of tool and specimen for testing tension at right angles to the grain
- 49. Making a torsion test on hickory
- 50. Method of cutting and marking test specimens
- 51. Diagram of specific gravity apparatus
- TABLES
- I. Comparative strength of iron, steel, and wood
- II. Ratio of strength of wood in tension and in compression
- III. Right-angled tensile strength of small clear pieces of 25 woods in green condition
- IV. Results of compression tests across the grain on 51 woods in green condition, and comparison with white oak
- V. Relation of fibre stress at elastic limit in bending to the crushing strength of blocks cut therefrom in pounds per square inch
- VI. Results of endwise compression tests on small clear pieces of 40 woods in green condition
- VII. Shearing strength along the grain of small clear pieces of 41 woods in green condition
- VIII. Shearing strength across the grain of various American woods
- IX. Results of static bending tests on small clear beams of 49 woods in green condition
- X. Results of impact bending tests on small clear beams of 34 woods in green condition
- XI. Manner of first failure of large beams
- XII. Hardness of 32 woods in green condition, as indicated by the load required to imbed a 0.444-inch steel ball to one-half its diameter
- XIII. Cleavage strength of small clear pieces of 32 woods in green condition
- XIV. Specific gravity, and shrinkage of 51 American woods
- XV. Effect of drying on the mechanical properties of wood, shown in ratio of increase due to reducing moisture content from the green condition to kiln-dry
- XVI. Effect of steaming on the strength of green loblolly pine
- XVII. Speed-strength moduli, and relative increase in strength at rates of fibre strain increasing in geometric ratio
- XVIII. Results of bending tests on green structural timbers
- XIX. Results of compression and shear tests on green structural timbers
- XX. Results of bending tests on air-seasoned structural timbers
- XXI. Results of compression and shear tests on air-seasoned structural timbers
- XXII. Working unit stresses for structural timber expressed in pounds per square inch
- INDEX
- FOOTNOTES
PART I
THE MECHANICAL PROPERTIES OF WOOD
INTRODUCTION
The mechanical properties of wood are its fitness and ability to resist applied or external forces. By external force is meant any force outside of a given piece of material which tends to deform it in any manner. It is largely such properties that determine the use of wood for structural and building purposes and innumerable other uses of which furniture, vehicles, implements, and tool handles are a few common examples.
Knowledge of these properties is obtained through experimentation either in the employment of the wood in practice or by means of special testing apparatus in the laboratory. Owing to the wide range of variation in wood it is necessary that a great number of tests be made and that so far as possible all disturbing factors be eliminated. For comparison of different kinds or sizes a standard method of testing is necessary and the values must be expressed in some defined units. For these reasons laboratory experiments if properly conducted have many advantages over any other method.
One object of such investigation is to find unit values for strength and stiffness, etc. These, because of the complex structure of wood, cannot have a constant value which will be exactly repeated in each test, even though no error be made. The most that can be accomplished is to find average values, the amount of variation above and below, and the laws which govern the variation. On account of the great variability in strength of different specimens of wood even from the same stick and appearing to be alike, it is important to eliminate as far as possible all extraneous factors liable to influence the results of the tests.
The mechanical properties of wood considered in this book are: (1) stiffness and elasticity, (2) tensile strength, (3) compressive or crushing strength, (4) shearing strength, (5) transverse or bending strength, (6) toughness, (7) hardness, (8) cleavability, (9) resilience. In connection with these, associated properties of importance are briefly treated.
In making use of figures indicating the strength or other mechanical properties of wood for the purpose of comparing the relative merits of different species, the fact should be borne in mind that there is a considerable range in variability of each individual material and that small differences, such as a few hundred pounds in values of 10,000 pounds, cannot be considered as a criterion of the quality of the timber. In testing material of the same kind and grade, differences of 25 per cent between individual specimens may be expected in conifers and 50 per cent or even more in hardwoods. The figures given in the tables should be taken as indications rather than fixed values, and as applicable to a large number collectively and not to individual pieces.
FUNDAMENTAL CONSIDERATIONS AND DEFINITIONS
Study of the mechanical properties of a material is concerned mostly with its behavior in relation to stresses and strains, and the factors affecting this behavior. A stress is a distributed force and may be defined as the mutual action (1) of one body upon another, or (2) of one part of a body upon another part. In the first case the stress is external; in the other internal. The same stress may be internal from one point of view and external from another. An external force is always balanced by the internal stresses when the body is in equilibrium.
If no external forces act upon a body its particles assume certain relative positions, and it has what is called its natural shape and size. If sufficient external force is applied the natural shape and size will be changed. This distortion or deformation of the material is known as the strain. Every stress produces a corresponding strain, and within a certain limit (see elastic limit, page 5) the strain is directly proportional to the stress producing it.1 The same intensity of stress, however, does not produce the same strain in different materials or in different qualities of the same material. No strain would be produced in a perfectly rigid body, but such is not known to exist.
Stress is measured in pounds (or other unit of weight or force). A unit stress is the stress on a unit of the sectional area.
| ( | P | ) | ||
| Unit stress | = | --- | ||
| A |
For instance, if a load (P) of one hundred pounds is uniformly supported by a vertical post with a cross-sectional area (A) of ten square inches, the unit compressive stress is ten pounds per square inch.
Strain is measured in inches (or other linear unit). A unit strain is the strain per unit of length. Thus if a post 10 inches long before compression is 9.9 inches long under the compressive stress, the total strain is 0.1 inch, and the unit strain is
| l | 0.1 | |||
| --- | = | ----- | = | 0.01 inch per inch of length. |
| L | 10 |
As the stress increases there is a corresponding increase in the strain. This ratio may be graphically shown by means of a diagram or curve plotted with the increments of load or stress as ordinates and the increments of strain as abscissæ. This is known as the stress-strain diagram. Within the limit mentioned above the diagram is a straight line. (See Fig. 1.) If the results of similar experiments on different specimens are plotted to the same scales, the diagrams furnish a ready means for comparison. The greater the resistance a material offers to deformation the steeper or nearer the vertical axis will be the line.
Figure 1
Figure 1
Stress-strain diagrams of two longleaf pine beams. E.L. = elastic limit. The areas of the triangles 0(EL)A and 0(EL)B represent the elastic resilience of the dry and green beams, respectively.
There are three kinds of internal stresses, namely, (1) tensile, (2) compressive, and (3) shearing. When external forces act upon a bar in a direction away from its ends or a direct pull, the stress is a tensile stress; when toward the ends or a direct push, compressive stress. In the first instance the strain is an elongation; in the second a shortening. Whenever the forces tend to cause one portion of the material to slide upon another adjacent to it the action is called a shear. The action is that of an ordinary pair of shears. When riveted plates slide on each other the rivets are sheared off.
These three simple stresses may act together, producing compound stresses, as in flexure. When a bow is bent there is a compression of the fibres on the inner or concave side and an elongation of the fibres on the outer or convex side. There is also a tendency of the various fibres to slide past one another in a longitudinal direction. If the bow were made of two or more separate pieces of equal length it would be noted on bending that slipping occurred along the surfaces of contact, and that the ends would no longer be even. If these pieces were securely glued together they would no longer slip, but the tendency to do so would exist just the same. Moreover, it would be found in the latter case that the bow would be much harder to bend than where the pieces were not glued together—in other words, the stiffness of the bow would be materially increased.
Stiffness is the property by means of which a body acted upon by external forces tends to retain its natural size and shape, or resists deformation. Thus a material that is difficult to bend or otherwise deform is stiff; one that is easily bent or otherwise deformed is flexible. Flexibility is not the exact counterpart of stiffness, as it also involves toughness and pliability.
If successively larger loads are applied to a body and then removed it will be found that at first the body completely regains its original form upon release from the stress—in other words, the body is elastic. No substance known is perfectly elastic, though many are practically so under small loads. Eventually a point will be reached where the recovery of the specimen is incomplete. This point is known as the elastic limit, which may be defined as the limit beyond which it is impossible to carry the distortion of a body without producing a permanent alteration in shape. After this limit has been exceeded, the size and shape of the specimen after removal of the load will not be the same as before, and the difference or amount of change is known as the permanent set.
Elastic limit as measured in tests and used in design may be defined as that unit stress at which the deformation begins to increase in a faster ratio than the applied load. In practice the elastic limit of a material under test is determined from the stress-strain diagram. It is that point in the line where the diagram begins perceptibly to curve.2 (See Fig. 1.)
Resilience is the amount of work done upon a body in deforming it. Within the elastic limit it is also a measure of the potential energy stored in the material and represents the amount of work the material would do upon being released from a state of stress. This may be graphically represented by a diagram in which the abscissæ represent the amount of deflection and the ordinates the force acting. The area included between the stress-strain curve and the initial line (which is zero) represents the work done. (See Fig. 1.) If the unit of space is in inches and the unit of force is in pounds the result is inch-pounds. If the elastic limit is taken as the apex of the triangle the area of the triangle will represent the elastic resilience of the specimen. This amount of work can be applied repeatedly and is perhaps the best measure of the toughness of the wood as a working quality, though it is not synonymous with toughness.
Permanent set is due to the plasticity of the material. A perfectly plastic substance would have no elasticity and the smallest forces would cause a set. Lead and moist clay are nearly plastic and wood possesses this property to a greater or less extent. The plasticity of wood is increased by wetting, heating, and especially by steaming and boiling. Were it not for this property it would be impossible to dry wood without destroying completely its cohesion, due to the irregularity of shrinkage.
A substance that can undergo little change in shape without breaking or rupturing is brittle. Chalk and glass are common examples of brittle materials. Sometimes the word brash is used to describe this condition in wood. A brittle wood breaks suddenly with a clean instead of a splintery fracture and without warning. Such woods are unfitted to resist shock or sudden application of load.
The measure of the stiffness of wood is termed the modulus of elasticity (or coefficient of elasticity). It is the ratio of stress per unit of area to the deformation per unit of length.
| ( | unit stress | ) | ||
| E | = | ------------- | ||
| unit strain |
It is a number indicative of stiffness, not of strength, and only applies to conditions within the elastic limit. It is nearly the same whether derived from compression tests or from tension tests.
A large modulus indicates a stiff material. Thus in green wood tested in static bending it varies from 643,000 pounds per square inch for arborvitæ to 1,662,000 pounds for longleaf pine, and 1,769,000 pounds for pignut hickory. (See Table IX.) The values derived from tests of small beams of dry material are much greater, approaching 3,000,000 for some of our woods. These values are small when compared with steel which has a modulus of elasticity of about 30,000,000 pounds per square inch. (See Table I.)
| TABLE I | |||||
|---|---|---|---|---|---|
| COMPARATIVE STRENGTH OF IRON, STEEL, AND WOOD | |||||
| MATERIAL | Sp. gr.,dry | Modulus of elasticity in bending | Tensile strength | Crushing strength | Modulus of rupture |
| Lbs. per sq. in. | Lbs. per sq. in. | Lbs. per sq. in. | Lbs. per sq. in. | ||
| Cast iron, cold blast (Hodgkinson) | 7.1 | 17,270,000 | 16,700 | 106,000 | 38,500 |
| Bessenger steel, high grade (Fairbain). | 7.8 | 29,215,000 | 88,400 | 225,600 | |
| Longleaf pine, 3.5% moisture (U.S.) | .63 | 2,800,000 | 13,000 | 21,000 | |
| Redspruce, 3.5% moisture (U.S.) | .41 | 1,800,000 | 8,800 | 14,500 | |
| Pignut hickory, 3.5% moisture (U.S.) | .86 | 2,370,000 | 11,130 | 24,000 | |
| NOTE.—Great variation may be found in different samples of metals as well as of wood. The examples given represent reasonable values. | |||||
TENSILE STRENGTH
Tension results when a pulling force is applied to opposite ends of a body. This external pull is communicated to the interior, so that any portion of the material exerts a pull or tensile force upon the remainder, the ability to do so depending upon the property of cohesion. The result is an elongation or stretching of the material in the direction of the applied force. The action is the opposite of compression.
Wood exhibits its greatest strength in tension parallel to the grain, and it is very uncommon in practice for a specimen to be pulled in two lengthwise. This is due to the difficulty of making the end fastenings secure enough for the full tensile strength to be brought into play before the fastenings shear off longitudinally. This is not the case with metals, and as a result they are used in almost all places where tensile strength is particularly needed, even though the remainder of the structure, such as sills, beams, joists, posts, and flooring, may be of wood. Thus in a wooden truss bridge the tension members are steel rods.