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Work of Pressures applied in different Directions to a Body moveable
47
48
The Transmission of Work by Machines.
The Modulus of a Machine moving with a uniform or periodical Motion
The Modulus of a Machine moving with an accelerated or a retarded
Motion .
. 146
148
. 150
. 151
. 153
The Velocity of a Machine moving with a variable Motion
To determine the Co-efficients of the Modulus of a Machine
General Condition of the State bordering upon Motion in a Body acted
upon by Pressures in the same Plane, and moveable about a cylindrical
Axis
154
A System of one fixed and any Number of moveable Pulleys
Page
The Teeth of a Wheel working with a Lantern or Trundle
The driving and working Pressures on Spur Wheels.
The Modulus of a System of two Spur Wheels.
The Modulus of a Rack and Pinion
Conical or Bevil Wheels
The Theory of the Screw with a Square Thread in reference to the vari-
able Inclination of the Thread at different Distances from the Axis
The Beam of the Steam Engine
The Crank
The Dead Points in the Crank
333
. 337
On the State of the accelerated or retarded Motion of a Machine
PART IV.
THE THEORY OF THE STABILITY OF STRUCTURES.
General Conditions of the Stability of a Structure of Uncemented Stones 377
The Stability of a Wall sustaining the Pressure of a Fluid
Earth Works
Revêtement Walls
The Arch.
The Angle of Rupture
The Line of Resistance in a circular arch whose Voussoirs are equal, and
whose Load is distributed over different Points of its Extrados
A segmental Arch whose Extrados is horizontal
440
.
441
A Gothic Arch, the Extrados of each Semi-Arch being a straight Line
inclined at any given Angle to the Horizon, and the Material of the
Loading different from that of the Arch
A circular Arch having equal Voussoirs and sustaining the Pressure of
Water.
442
444
The Equilibrium of an Arch, the Contact of whose Voussoirs is geometri
cally accurate
446
Formulæ representing the absolute Strength of a Cylindrical Column to
PART VI.
ІМРАСТ.
The Impact of two Bodies whose centres of Gravity move in the same
right Line
Greatest Compression of the Surface of the Bodies
Velocity of two elastic Bodies after Impact
The Pile Driver.
ADDITIONS BY THE AMERICAN EDITOR
553
Note E-On the Rolling Motion of a Cylinder.
Note F. On the Descent upon an Inclined Plane of a Body subject to
655
Variations of Temperature, and on the Motion of Glaciers
675
Note G.-The best Dimensions of a Buttress
. 683
Note H.-Dimensions of the Teeth of Wheels.
. 684
Note I-Experiments of M. Morin on the Traction of Carriages
Note K.-On the Strength of Columns
. 685
686
Table I.-The Numerical Values of complete Elliptic Functions of the
first and second Orders for Values of the Modulus k corresponding to
each Degree of the Angle sin.-'k.
687
Table II.-Showing the Angle of Rupture of an Arch whose Loading
is of the same Material with its Voussoirs, and whose Extrados is
inclined at a given Angle to the Horizon
688
Table III.-Showing the Horizontal Thrust of an Arch, the Radius of
whose Intrados is Unity, and the Weight of each Cubic Foot of its
Material and that of its Loading, Unity
Table IV.-Mechanical Properties of the Materials of Construction.
Table V.-Useful Numbers
. 694
. 698