Elementary Applied Mechanics |
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abutment angle apex arch arch-ring base beam bending moment diagram cantilever catenary centre of gravity centre of stress circle cross-section crown curve dead load deflection depth distance draw drawn earth ellipse equal equation equilibrium extrados factor of safety feet flanges foot foot-tons ft.-tons geostatic girder half Hence hinge horizontal horizontal-load-area intensity joint left end length line of stress live load locomotive locus masonry maxima maximum bending moment of inertia neutral axis oblique ordinate pair parabola parabolic segment parallel plane polygon position principal stress quadrant radius ratio rectangle resistance rolling load scale shearing force diagram shearing stress shown on fig side slope soffit span spandrils square inch strain struts tangent thickness thrust tons per square triangle truss uniform load uniformly vertical voussoirs W₁ W₂ wall weight wheel
Popular passages
Page 156 - ... of the weight which would break the beam when laid on at rest in the centre. That, as it has appeared that the effect of velocity communicated to a load is to increase the deflection that it would produce if set at rest upon the bridge ; also, that the dynamical increase in bridges of less than...
Page 493 - ... to ten. How small soever the load may be, there is a certain minimum thickness for an underground archway, for determining which the following empirical rule, exactly similar to that for finding the depth of the keystone of an arch, has been deduced from practical examples.
Page 157 - That as it has appeared that the effect of velocity communicated to a load is to increase the deflection that it would produce if set at rest upon the bridge; also that the dynamical increase in bridges of less than 40 feet in length is of sufficient importance to demand attention, and may even for lengths of 20 feet become more than one-half of the statical deflection at high velocities, but can be diminished by increasing the stiffness of the bridge; it is advisable that, for short bridges especially,...
Page 294 - P I being the moment of inertia of the cross-section, and E the modulus of elasticity of the material.
Page 68 - I. It is necessary to the stability of a granular mass, that the direction of the pressure between the portions into which it is divided by any plane should not at any point make with the normal to that plane an angle exceeding the angle of repose.
Page 493 - C, the part of the arch below that joint, together with its spandril backing and the load directly resting on it, may be considered as forming part of the abutment. In some of the best examples of bridges, the thickness of the abutments ranges from one-third to one-fifth of the radius of curvature of the arch at its crown. 293.
Page 343 - Comparing .these equations with those on page 266, we find that for equal values of the limiting stress /, the resistance of a cylinder, solid or hollow, to wrenching is double its resistance to breaking across.
Page 448 - On Two-Nosed Catenaries and their application to the Design of Segmental Arches.
Page 58 - Resistanct of the Wall. — Considering the wall as a solid mass, the effect of its weight to resist an overturning thrust will be directly as the horizontal distance EH from its front edge to a vertical line drawn through G, the centre of gravity of the wall, fig. 13 ; or, calling the resistance R, and the weight of the wall w, then R = w XE H.
Page 100 - M has been chosen as positive in (2) when its action is clockwise on the portion of the beam to the left of the section and contra-clockwise to the right of the section.