. Graphical and mechanical computation. darc y equa r/o/v-Fi ow of steam //v 416. NOMOGRAPHIC OR ALIGNMENT CHARTS Chap. IV Since \vc have two unknown quantities we can of course get various com-binations of these to satisfy the equation. By means of the chart to be constructed these combina-tions of width and height arereadily seen, and any desiredcombinations may then bechosen. We have an equation in-volving five variables of theform (V), case (3), and intro-ducing an auxiliary quantity,Q, we shall separate it intotwo equations; thus, F W , Q H^Y = T^ and — = We now construct a Z c
. Graphical and mechanical computation. darc y equa r/o/v-Fi ow of steam //v 416. NOMOGRAPHIC OR ALIGNMENT CHARTS Chap. IV Since \vc have two unknown quantities we can of course get various com-binations of these to satisfy the equation. By means of the chart to be constructed these combina-tions of width and height arereadily seen, and any desiredcombinations may then bechosen. We have an equation in-volving five variables of theform (V), case (3), and intro-ducing an auxiliary quantity,Q, we shall separate it intotwo equations; thus, F W , Q H^Y = T^ and — = We now construct a Z chart. Fig. 42a. for each of these equations, the two charts having the (2-axis in the first of these equations our scales are X = nhF, y = m2.{L), z = mzW, q = nii (Q), and we have the following table: ale Limits Modulus Equation Length F up to 2000 mi = X = F 6 L up to 40 W72 = y = 12 W up to 15,000 ni3 = z = W 12 Q W4 = —^— = g = Q nil The F- and TF-scales are placed on the same axis (Fig. 42a) and startingfrom the same origin, and the L- and (2-scales on a parallel axis, but the^-scale is not graduated. For the second equation our scales are 2 = m^Q, r = m^B,and we have the following table: mjH^ t = ms (9), Scale Limits Modulus Equation Q mr, = q = Q B up to 10 me = I r^iB H up to 12 m^ = s = H^ m^mjm^ = = T f. = Q Length W5 Art. 42 DISTRIBUTED LOAD ON A WOODEN BE.\M 83 n
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