Columns and struts, theory and practical design, with examples worked out

William Alexander

Sujets

• Bridges
• Columns

Informations

• Publié par: les_archives_du_savoir
• Nombre de lectures: 14
• Langue: English
• Poids de l'ouvrage: 11 Mo

Extrait

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- .T-:.'>^.-:;;^'i^'fTHE DESIGNTHEORY AND PRACTICAL
OF
COLUMNS AND STRUTSColumns and Struts
THEORY AND PRACTICAL DESIGN
WITH EXAMPLES WORKED OUT
BY
W^. ALEXANDER, M. Inst. C.E.
101 ILLUSTRATIONS
515131
12,. la.so
Xon^on
E. & F. N. SPON, Ltd., HAYMARKET57
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CHAMBERLAIN, LIBERTY STREETSPON & 133
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CONTENTS
PAGE
Preface . , * xi
CHAPTER I.
INTRODUCTORY.
Importance of subject Ordinary methods—— Necessity for further investiga-
tion—Methods of developing formulae—Exact and empirical formulae
and their limits .......... I
CHAPTER II.
ANALYSIS OF VARIOUS EXISTING FORMULA.
between tension and compression members. Bending of barsComparison
under external forces—Deflection the measure of stresses in a strut . 8
Euler's formula—Rankine's interpretation—Derivation—Analysis employed
—True meaning—Wrong conclusions resulting from incorrect applica-
tion 12............
Hodgkinson's formulae—Derivation—Value ofconstants—Limited utility . 1
Formulae by Tredgold, Gordon, Rankine—Derivation—Constants—Assump-
limitations—Modificationstionsemployed—Resulting ... 19
Other formulae—Defects—Limitations ....... 23
CHAPTER III.
MOMENTS OF INERTIA OF SECTIONS.
forces—Moments of inertia—Moment ofresistance 25Neutral axis—Moments of
about different axes—Effect of form of figureMoments of inertia of figures
reduction of area—Form of sectionon result—Increase of strength by
with strength unaffected by increase or of depth—Weak points
—Examples .in common sections 34
A 3———
vi Columns and Struts
PACK
Moments of inertia of figures—Rectangles—Triangles—Hexagon—Circle
Compound figures.......... 40
inertia—Figures isotropic as regards inertia—Principal axes .Ellipse of 46
of elasticityEffect of variation in modulus ...... 48
Value of Graphical methods......... 49
CHAPTER IV.
COLUMNPROPERTIES OF VARIOUS SECTIONS.
Variations in results of tests'—Usual formulae take no account of the form of
section ........... 52
Direction of flexure—Limiting amount of deflectionCircular section—
fromLimit of deviation of pressure axis—Limiting area of pressure
variation 53
section—Limiting pressure area—Other sections ....Square 54
directions—Initial deviation of fromEffect of flexure in various pressure axis
—Direction of initial deviation having greatest effect 59
of bending relatively to direction of force..... 61Direction
inertiaEffect of non-uniformity ofmoment of ...... 64
CHAPTER V.
ELLIPTIC FUNCTIONS.
Incommensurable values ......... 65
Circular and elliptic arcs—Equations to ellipse ..... 66
functions—Two variables—Notation of elliptic functions—CompleteElliptic
Limiting valuesfunctions— . . . . . . . .69
Equations to hyperbola—Derived functions—Limiting values ... 70
functions of first and second kinds . . . . . .71Elliptic
Tables of complete functions 72
CHAPTER VI.
ELASTIC CURVES OF BENDING.
Radiu« of curvature—Curvature—Ratios of curvature and pressure for
equilibrium........... 76
spring Angles of tangents—Lengths of curves—EllipticCurve of a bent —
for evaluation .functions required . . . . . .81
Lengths of the chords.......... 88
Singular values of the equations—Limiting value for no deflection—Other
limits............ 90
under varying pressure intensity of contained fluidCurve of flexible sheet
spring VariousCurve similar to that of bent — functions—Hydrostatic
arch 93