Tables of physical and chemical constants and some mathematical functions / by G.W.C. Kaye and T.H. Laby.

  • G. W. C. Kaye
Date:
[1941]
Catalogue details

Licence: Public Domain Mark

Credit: Tables of physical and chemical constants and some mathematical functions / by G.W.C. Kaye and T.H. Laby. Source: Wellcome Collection.

    37/200 (page 25)
    SCREWS SCREWS It is customary for British metal screws, of ^-inch diameter and above, to have a Whitworth thread, for smaller sizes a British Association thread. In the Whitworth thread the angle between the slopes is 55°» in the B.A. thread 47*5°* The pitch is the distance between adjoining crests (say) of the same thread measured parallel to the axis of the screw. It is the reciprocal of the number of turns per inch or mm. as the case may be. The full diameter is the maximum over-all diameter. Micrometer screws are made with some multiple or sub-multiple of ioo threads to the inch or mm. “ Woodscrews ” of iron or brass are numbered as follows: No. o has a diameter of *05 inch, each succeeding number adding '014 inch to the diameter of the screw : this applies to all lengths. The length of countersunk screws is measured over all ; that of round-headed screws, from under the head. [1 inch = 25*4 mm.] STANDARD WHITWORTH. Full di¬ ameter inch. If If 4 If II If I f u Threads to inch 5 5 6 6 7 7 8 9 10 Full di¬ ameter. Threads to inch. inch. f H f A * A t A 1 10 11 11 12 12 14 16 18 20 BRITISH ASSOCIATION. No. Full di¬ ameter. Pitch. No. Full di¬ ameter. Pitch. No. Full di¬ ameter. Pitch. mm. mm. mm. mm. mm. mm. 0 6*o 1*0 9 i*9 *39 18 62 *15 1 5*3 *9 10 i*7 *35 19 ‘54 *14 2 47 •81 11 i*5 •31 20 '48 *12 3 4*i *73 12 1*3 •28 21 *42 •II 4 3*6 •66 13 1*2 *25 22 37 *IO 5 3*2 *59 14 1*0 *23 23 33 *09 6 2-8 *53 15 •9 •21 24 •29 *08 7 2*5 •48 16 •79 *19 25 *25 •07 8 2*2 *43 17 70 •17 MOMENTS OF INERTIA M — mass of body. (See A. M. Worthington, “ Dynamics of Rotation.” London.) Body. Uniform thin rod (length /) Rectangular lamina (sides a and b) Circular lamina (radius r) Solid cylinder (radius r; length l) Hollow cylinder (external and internal radii R and r; length /) Solid sphere (radius r) Hollow sphere (external and internal radii R and r) Anchor ring (mean radius of ring R ; radius of cross- section r) Axis of rotation. (1) Through centre, perpendicular to length (2) Through end, perpendicular to length (1) Through centre of gravity, per¬ pendicular to plane (2) Through centre of gravity, parallel to side b (1) Through centre, perpendicular to plane (2) Any diameter (1) Axis of cylinder (2) Through centre of gravity, per¬ pendicular to axis of cylinder (1) Axis of cylinder (2) Through centre of gravity, per¬ pendicular to axis Through centre Through centre (1) Through centre, perpendicular to plane of ring (2) Any diameter Moment of inertia. 72 M— 12 /2 M— 3 a2 + b2 M- 12 M a“ 12 r2 M— 2 r2 m- 4 r2 Mr ( l2 r2\ M(»n) R2 + r2 M M M / /2 R2 +) 2 V12 + -) 2 rA R5-r6N M\5 * R3 m(r2 + Ml -— +