As now usually defined, Young's modulus of elasticity is the force which would stretch a rod or string to double its natural length if Hooke's law were true for so great an extension.
It is not usual now to express Young's modulus of elasticity in terms of a length of the substance considered.
Young's contributions to this subject will be chiefly remembered in connection with his "modulus of elasticity.
It does not change one principle involved, or weaken either Modulus or Theorem when we reflect that most equations are ended by death, long before being brought to successful solution.
The Modulus of Nature, that is, the Pattern, after which she everywhere builds, and the Method to which she continually conforms is an Ideal, or Archetypical Man.
To add to what was then discerned and designated as "the Modulus of Nature," an exact and comprehensive Theorem of Psychology.
The scientific theorem of Psychology can be nothing else than Nature's Modulus of Man, with its root in Universal Intelligence.
It is theModulus of both God and Nature regarding Man.
This Modulus and Theorem of the School of Natural Science involve Religion, Regeneration, Redemption, and the well-being of Souls here and hereafter.
If the Ideal, Archetypal, or Divine Man, is recognized as the Modulus of both Nature and Divinity, our Theorem must consist in adhering to the Modulus and working out the problem.
The whole process reverses ourModulus and Theorem of Constructive Psychology, the building of character and normal evolution.
In nickel the maximum change of the elastic constants is remarkably large, amounting to about 15% for Young's modulus and 7% for rigidity; with increasing fields the elastic constants first decrease and then increase.
Young's modulus and of rigidity are almost identical.
The value of the modulus found by Adams is Mo = 0.
It will be observed that in the first process the value of the modulus is in fact calculated from the formula.
That least distance is called by Moseley the modulus of stability.
To define the modulus of compression, we suppose that a solid body of any form is subjected to uniform hydrostatic pressure of amount p.
In general there is no simple relation between the Young's moduluses and Poisson's ratios and rigidities for assigned directions and the modulus of compression.
In such a material the Young's modulus depends upon the direction of the tension, and its variations about a point are expressed by means of a surface of the fourth degree.
The modulus of compression k may be determined directly by means of the piezometer, as was done by E.
The elasticity of a fluid is always expressed by means of a single quantity of the same kind as the modulus of compression of a solid body.
The Young's modulusand the rigidity of a fluid are always zero.
If, however, we describe a circle of radius R in the z plane, and consider the greatest value of the modulus of an integral function upon this circle, this certainly increases indefinitely as R increases.
In other words, themodulus of exp (z) is exp (x) and the phase is y.
It works both ways, the modulus of elasticity of concrete being elastic enough to be shifted again to suit the designer's notion in selecting his reinforcement.
If the concrete had a constant modulus of elasticity under varying stress, and if the two materials had the same modulus, the stress triangle would be bounded by straight lines (shown as dotted lines in Fig.
The writer has never designed a reinforced concrete chimney, but if he ever has to do so, he will surely not use any formula that is dependent on the modulus of elasticity of concrete.
Of course a wonderful agreement between the double-refined theory and test can generally be effected by "hunching" the modulus of elasticity to suit.
Why should frightfully complex formulas be proposed, which bring in the unknowable modulus of elasticity of concrete and can only be solved by stages or dependence on the calculations of some one else?
The average modulus of elasticity, as found by specimen tests of the concrete, did not agree at all with the value which it was necessary to use in the arch calculations in order to make the deflections come out right.
The modulus of elasticity of concrete is so variable that any formulas containing it and pretending to determine the stress in the concrete are unreliable, but the author's proposed method is equally so.
K: Modulus of elasticity, in thousands of pounds per square inch.
Modulus of elasticity, in thousands of pounds per square inch.
When the applied forces cause change of shape without change of volume, the ratio of stress to strain is called the shape modulus or the rigidity of the material.
The Young's modulus and the bulk modulus can easily be found in terms of [lambda] and [mu].
Young's modulusis employed in the cases of stretching and bending.
The modulus is obtained by dividing the stress by the strain; if this is done with the above example, the ratio will give the bulk modulus.
Strength of Beams The measure of the breaking strength of a beam is expressed in terms of unit stress by a modulus of rupture, which is a purely hypothetical expression for points beyond the elastic limit.
The effect of knots is to reduce the difference between the fibre stress at elastic limit and the modulus of rupture of beams.
On the modulus of elasticity of some American woods as determined by vibration.
The measure of the stiffness of wood is termed the ~modulus of elasticity~ (or coefficient of elasticity).
The bridge-rail appeared to be of wrought iron, the different modulus of elasticity of which has been included in the calculation upon which the preceding results are based.
The bridge did, indeed, seem somewhat inert under load, and favours a suspicion, the author entertains, that old girderwork long overstressed may have a sensibly highermodulus of elasticity than newer work at more moderate stresses.
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "modulus" in a variety of sentences. We hope that you will now be able to make sentences using this word.
