## Useful Rules and Tables Relating to Mensuration, Engineering, Structures, and Machines |

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absolute pressure angular velocity approximate axis beam breadth British Measures calculate catenary centre of gravity centre of magnitude centre of pressure chain circle circular arc circular sector circumference co-efficient common logarithm cross-section cube cubic feet cubic foot curvature curve cylinder denote depth diameter direction divide draw engine equal factor of safety Fahr feet per second figure force formula fraction given number greatest heat horizontal hyperbolic logarithm intervals kilogramme length lines of resistance load mean mean effective pressure metre mile Millimetres modulus multiply nearly parallel perpendicular distance plane position proportional quotient radius ratio Reciprocal resultant Rule II.—To sectional area side sine slope spandril specific gravity square foot square inch station-line steam straight line subtract surface Table tangent temperature theodolite thickness thrust triangle unit versin vertical volume weight wheel

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Page 8 - The index of the common logarithm of a decimal fraction less than 1 is negative, and is one more than the number of noughts between the decimal point and the significant figures; and the negative sign is usually written above instead of before the index ; that is to say, for numbers less than 1 and not less than...

Page 164 - Each of the three forces is equal and opposite to the resultant of the other two; and each pair of forces are equal and opposite to the components of the third. Hence this rule serves to resolve a given force into two parallel components acting in given lines in the same plane.

Page 63 - To find the area of a trapezoid. RULE. Multiply half the sum of the two parallel sides "by the perpendicular distance between them : the product will be the area.

Page 249 - Rednced inertia.— RULE XVI. — To reduce the inertia or mass of a machine to the driving point. Multiply the weight of each moving portion of the machine by the square of the ratio of its velocity to the velocity of the driving point; and add together the products; the sum will be the weight of the mass which, if concentrated at the driving point, would require the same force to produce a given change in its speed, in the course of a given time or of a given motion, that is required by the actual...

Page 147 - ... the ratio of the mass of a given volume of the substance to the mass of an equal volume of water, in which case it is equal to the specific gravity. In its application to gases, the term THE INTENSITY OP PRESSURE. 121

Page 301 - ... by the difference between the pressures in the boiler and cylinder, multiply the square root of the quotient by the speed of the piston in feet per minute, and by the square of the diameter of the cylinder in inches, and divide the product by 15000. From this we obtain the proper area of the steam passages for the particular cases that may demand our consideration. For safety take the minimum difference between pressures in cylinder and boiler with maximum pressure in the cylinder. Let the diameter...

Page 275 - ... stream relatively to the ship in knots; the real slip, or part of that speed which is impressed on that stream by the propeller, also in knots ; and the constant 5-66/or sea-water, or 5-5 for fresh water.

Page 120 - Then, without moving the vertical circle, direct the telescope towards the star, clamp the vernier-plate, and by the aid of its tangent-screw follow the star in azimuth with the cross wires until it arrives exactly at its former altitude, as is shown by its image coinciding with the cross wires; then measure the horizontal angle between the new direction of the star and the station-line...

Page 273 - Let Q be the whole supply of water, in cubic feet per second, of which q is lifted to the height h above the pond, and Q — q runs to waste at the depth H below the pond.

Page 127 - To find the sides of a rightangled triangle in whole numbers, take two unequal whole numbers: then the sum of their squares, the difference of their squares, and twice their product will be the three sides.