The Engineers' ManualJohn Wiley & sons, Incorporated, 1917 - 315 pages |
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Expressions et termes fréquents
abamperes adiabatic amperes angle angular velocity armature ax dx ax² axis body center of gravity circuit Circumferences and Circular coefficient compression constant coördinates cos² cosh tanh sinh cubic feet curve cylinder distance dx dx equals equation feet per second field intensity flow foot-pounds Force F formula friction Functions h₁ heat energy inertia length liquid load log cos log log sin log m₁ magnetic moment of inertia N₁ NOTE ohms orifice P₂ part-circuit pipe plane poles pounds per sq pounds per square pressure P₁ R₁ radians per second Radius of gyration reactance rivets second per second self-inductance series capacitance shear sin² square centimeter square feet square inch statcoulombs steam surface t₁ degrees T₂ temperature V₁ V₂ vapor Vax² vector volts volume watts X₁ ΣΜ
Fréquemment cités
Page 94 - A force acting upon a body causes it to accelerate in the direction of the force, the acceleration being directly proportional to the force and inversely proportional to the mass of the body.
Page 8 - Equation 3, we see that an angle of 1 rad is the angle subtended at the center of a circle by an arc equal in length to the radius of the circle (see Figure 2).
Page 56 - The degree of a differential equation is the same as the power to which the derivative of highest order in the equation is raised, that derivative entering the equation free from radicals. The solution of a differential equation is the relation involving only the variables (but not their derivatives) and arbitrary constants, consistent with the given differential equation. The most general solution of a differential equation of the nth order contains n arbitrary constants. If particular values are...
Page 119 - The vertical shear at any section of a beam is equal to the algebraic sum of all the vertical forces on one side of the section. The shear is positive when the part of the beam to the left of the section tends to move upward under the action of the resultant of the vertical forces. NOTE. In the study of beams, the reactions must be treated as applied loads and included in shear and moment. A section is always taken as cut by a plane normal to the axis of the beam. In all cases vertical means normal...
Page 19 - S, is equal numerically to the portion A of the surface of a sphere of unit radius which is cut out by a conical surface with vertex at P and having the perimeter of S for base.
Page 40 - In the following table, the constant of integration, C, is omitted but should be added to the result of every integration. The letter x represents any variable; u represents any function of x; the remaining letters represent arbitrary constants, unless otherwise indicated; all angles are in radians. Unless otherwise mentioned, log,, u = log u.
Page 3 - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.
Page 35 - Rm approaches zero as n increases, so that a number of terms of the series may be used for an approximation of the function. If the region of convergence is not indicated, it is to be understood that the series converges for all finite values of x. (n\ = 1 • 2 • 3 •••«.) Binomial Series (345) (a + x)" = a" + na"->x + -- a~
Page 103 - Sliding friction is the force, in addition to that overcoming inertia, required to maintain relative motion between two bodies. NOTE. (1) For moderate pressures the friction is proportional to the normal pressure between the surfaces. (2) For moderate pressures the friction is independent of the extent of the surface in contact. (3) At low velocities the friction is independent of the velocity of rubbing. The friction decreases as the velocity increases. (4) Sliding friction is usually less than...
Page 21 - The collection of all points that satisfy a given condition is called the locus of that condition; the condition expressed by means of the variable coordinates of any point on the locus is called the equation of the locus. The locus may be represented by equations of three kinds: Rectangular equation involves the rectangular coordinates (x, y).