Statics Sentence Examples

The literature of graphical statics and its technical applications is very extensive.

This is subject tc the same relations as a couple in statics; it may be represented by a vector which will, however, in general vary with the position of 0.

The mode of distribution of a force applied to a solid body requires to be considered when its stiffness and strength are treated of; but, in questions respecting the action of a force upon a rigid body considered as a whole, the resultant of the distributed force, determined according to the principles of statics, and considered as acting in a single line and applied at a single point, may, for the occasion, be substituted for the force as really distributed.

Forces applied to Mechanism Classed.If 0 be the obliquity of a force F applied to a piece of a machinethat is, the angle made by the direction of the force with the direction of motion of its point of applicationthen by the principles of statics, F may be resolved into two rectangular components, viz.

Now from the laws of statics it is known that, in order that a system of forces applied to a system of connected points may be in equilibrium, it is necessary that the sum formed by putting together the products of the forces by the respective distances through which their points of application are capable of moving simultaneously, each along the direction of the force applied to it, shall be zero, products being considered positive or negative according as, the direction of the forces and the possible motions of their points of application are the same or opposite.

Let the useful resistance and the weight of the piece be compounded by the principles of statics into one force, and let this be called the given force.

Then, according to a well-known principle in statics, the normal pressure at the elementary arc do is TdO, T being the mean tension of the band at that elementary arc; consequently the friction on that arc is dF =JTdo.

According to the principles of statics, the resultant of the force P, applied at G perpendicular to the plane OG, and the couple M is a force equal and parallel to P, but applied at a distance GC from G, in the prolongation of the perpendicular OG, whose value is GC = M/P = R2/OG.

Meanwhile he was filling his note-books as busily as ever with the results of his studies in statics and dynamics, in human anatomy, geometry and the phenomena of light and shade.

It was his duty as professor to lecture at least once a week in term time on some portion of geometry, arithmetic, astronomy, geography, optics, statics, or some other mathematical subject, and also for two hours in the week to allow an audience to any student who might come to consult with the professor on any difficulties he had met with.

We have thus a statics and a mechanics of mind which investigate respectively the conditions of equilibrium and of movement among presentations.

It reviews the principles of statics and kinematics and applying them to the approximate analysis of pin and rigid jointed frames.

The external forces on a frame or bridge in equilibrium under those forces may, by a well-known proposition in statics, be represented by a closed polygon, each side of which is parallel to one force, and represents the force in magnitude as well as in direction.

Glass is still commonly used as a dielectric because of its cheapness, high dielectric strength or resistance to electric puncture, and its high dielectric constant (see Electro Statics).

Do natural comparative statics results hold for emissions trading?

Section 4 describes the application of concepts and principles to statics problems.

Hopefully these statics will convince everyone that it simply isn't worth the risk to drink and drive, especially during the holidays when people are more likely to imbibe.

In light of these disturbing safety statics, you may be wondering what can be done to keep your child safe while supporting National Playground Safety Week.

In 1860 he was appointed to the professorship of higher geometry at the university of Bologna, and in 1866 to that of higher geometry and graphical statics at the higher technical college of Milan.

His manual on Graphical Statics and his Elements of Projective Geometry (translated by C. Leudesdorf), have been published in English by the Clarendon Press.

He also published two larger works, Social Statics in 1850, and Principles of Psychology in 1855.

This function is also called the " thermodynamic potential at constant volume " from the analogy with the condition of minimum potential energy as the criterion of stable equilibrium in statics.

C. Turner, Graphics applied to Arithmetic, Mensuration and Statics (1907).

It should be noted that, within a limited range of application to terrestrial mechanics, the most convenient way of attacking the question of the relations of forces to the physical statics.

The subject is usually expounded under the two divisions of statics and kinetics, the former dealing with the conditions of rest or equilibrium and the latter with the phenomena of motion as affected by force.

We follow als the traditional practice of dealing first with statics and thel with kinetics.

Statics of a Particle.By a particle is meant a body whose position can for the purpose in hand be sufficiently specified by a mathematical point.

In most questions of pure statics we are concerned only with the ratios of the various forces which enter into the problem, so that it is indifferent what unit of force is adopted.

Statics of a System of ParticlesWe assume that the mutual forces between the pairs of particles, whatever their nature, are subject to the Law of Action and Reaction (Newtons Third Law); i.e.

Statics of Inextensible Chains.The theory of bodies or structures which are deformable in their smallest parts belongs properly to elasticity.

The case of inextensible strings or chains is, however, so simple that it is generally included in expositions of pure statics.

Examples will be found in textbooks of the calculus and of analytical statics.

The question remains, of course, as to how far the measurement of force here implied is practically consistent with the gravitational method usually adopted in statics; this will be referred to presently.

This principle of least resistance renders determinate many problems in the statics of structures which were formerly considered indeterminate.

Relations between Polygons of Loads and of Resistances.In a structure in which each piece is supported at two joints only, the well-known laws of statics show that the directions of the gross load on each piece and of the two resistances by which it is supported must lie in one plane, must either be parallel or meet in one point, and must bear to each other, if not parallel, the proportions of the sides of a triangle respectively parallel to their directions, and, if parallel, such proportions that each of the three forces shall be proportional to the distance between the other two,all the three distances being measured along one direction.

Joint; then, by the principles of statics, - - the component of the resistance normal to the joint is CP=CR.cos PCR;