Machinery’s Handbook, 31st Edition
Index
2949
R atio 9
R adius
( continued )
benefit-cost 153 compound 9 contact, in gearing 2230–2234, 2235 epicyclic gearing 2290–2293 fractional, change gears for 2182 geometrical 39–43 mean proportional 9 Poisson’s 208 slenderness, columns 281 of volumes 93 R eal numbers and their operations 3–10 fractions 5–7
of gyration
flat plate, thin 235 half circle 244 hexagon 243 hollow circle 244 hollow cylinder 237 thin 237 hollow sphere 238 I-beams 2692–2695 aluminum 2701
I-section 245 L-section 249 octagon 244 paraboloid 238
adding and subtracting fractions and mixed numbers 6–7 decimal numbers 8–9 adding or subtracting decimal numbers 8 dividing decimal numbers 9 multiplying decimal numbers 8 dividing fractions and mixed numbers 8 factor 5 improper fraction 5 least common denominator (lcd) 6 mixed number 5 multiple 5 multiplying fractions and mixed numbers 7 percentage 10–11 proper fraction 5 raising a fraction to higher terms 6 ratio and proportion 9–10 inverse proportion 10 problems involving direct and inverse proportions 10 reciprocal 6 reducible fraction 5 unit fraction 5 prime factorization of numbers 13 properties of exponents 11 roots 11–12 scientific notation 12–13 division in scientific notation 12–13 engineering notation 12 multiplication in scientific notation 12 integers (signed numbers) 3–4 absolute value 4 addition and subtraction 4 multiplication and division 4 operations on signed numbers 4 real number line 4
parallelepiped 236 parallelogram 235 prism, rectangular 237 rectangle 242 ring 235 S- or W-shape, steel 2696 sphere 238 hollow 238 spherical shell, thin 238 structural angles 2698–2700 thin flat plate 235 thin hollow cylinder 237 thin spherical shell 238 trapezoid 243 triangle 243 T-section 248 wide flange, steel 2692–2695 Z-section 250
of oscillation 238
R ails size to carry given load 277–278 strength of 278 R ake angles 836 checking milling cutter 901 single-point cutting tools lead angles 836 turning tool 833 R am tube bending 1461 R ankine, temperature 2870 R ankine or Gordon formula for columns 281, 283 R ank of a matrix 126 R asps 1054 aluminum 1054 R atchet gearing 2294–2295 frictional 2295 multiple pawl 2295 pitch of wheel teeth 2295 reversing 2295 shape of wheel teeth 2295 types 2294 R ate of return (interest) 153
powers and roots 11–12 combinations 13 factorial notation 13 permutations 13 powers 11–12
real numbers 3–5
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