Trova questo libro nella versione stampata

Informazioni su questo libro

La mia raccolta

Libri su Google Play

Section 2.

RECTANGULAR AND SQUARE BEAMS.

Formula for rectangular beams

Formula for square beams

Hollow rectangular and square beams

Summary of formulæ for rectangular and square beams.

Examples

Section 3.

PAGE

52

53

54

55

A beam supported at both ends and loaded in the middle

A beam supported at both ends and uniformly loaded

A beam fixed at one end and uniformly loaded.

A beam fixed at both ends, loaded with a weight at its centre, and with a

weight uniformly distributed

General remarks on deflection.

69

70

71

72

74

76

CHAPTER IX.

RESISTANCE TO TORSION.

Resistance to torsion of a homogeneous prism

Torsion of a cylindrical shaft equally fixed throughout its whole length

Coefficients of torsion

Compression along each rafter and horizontal thrust.

Strength and dimensions of each rafter

Strength and dimensions of tie-beams

102

103

104

105

108

109

111

THE TRUSSED ROOF.

The strains on the different parts of a trussed roof. The distribution of the

119

Conditions of equilibrium of a circular arch

Thickness of pier necessary to support a semicircular arch.

Another formula for thickness of pier.

140

145

146

148

CIRCULAR ARCHES WITH SURCHARGE.

Conditions of equilibrium of a circular arch with a horizontal surcharge.

Strength of pier

Section 4.

THE STABILITY OF THE ARCH IN GENERAL.

CURVE OF PRESSURE.

Conditions of stability of an arch of any form with a horizontal symmetrical

surcharge.

Conditions of stability of an arch of any form with horizontal surcharge not

symmetrical.

Certain calculations by Thomas Simpson's Rule

Section 5.

SEGMENTAL ARCHES.

158

161

163

Curve of pressure passing through the middle of the joint at the key, and through the middle of the weakest joint

Curve of pressure passing through the joint at the key at one-third the

length of the joint at the key from the extrados, and through a similar

point at the weakest joint

165

Section 6.

THE THICKNESS OF THE PIER IN GENERAL.

Formula for thickness of pier when the centre of pressure of the base of the

pier is on the exterior edge of the base

Poncelet's formula, &c. .

The intrados a semi-circle.

Segmental arches

169

175

176

177

179

The effect of a load placed upon any part of the arch

195

CHAPTER IV.

SUSPENSION BRIDGES.

THE CATENARY.

A chain of uniform density being suspended from two given points, to

determine the nature of the curve in which the chain hangs

The differential equation of the catenary

Law of thickness.

197

198

199

Tension at any point

THE COMMON CATENARY, &c.

Equation of the common catenary

200

Another form of the equation

Properties of the common catenary.

201

The catenary of equal strength .`

The equation and properties of the catenary when the chain is of variable

203

Cylindrical steam boilers (elementary investigation)

Formulæ for deflection deduced by elementary principles