This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1908 edition. Excerpt: ...when the force F is applied. By the process described above we get log lL1-log lLZ = QogL, -log L8) (121) and log lL2-log lLi = /S24(log L2-log Lt). (122) If the values of yS13 and /324 obtained by solving (121) and (122) are nearly the same, their average is to be taken as the value for /S in (118). ...
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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1908 edition. Excerpt: ...when the force F is applied. By the process described above we get log lL1-log lLZ = QogL, -log L8) (121) and log lL2-log lLi = /S24(log L2-log Lt). (122) If the values of yS13 and /324 obtained by solving (121) and (122) are nearly the same, their average is to be taken as the value for /S in (118). Third, let the breadth B be varied and the other independent variables remain constant. This will give log lB1-log lm = 7l3(log Bl-log Ba) (123) and log lU2-log lBi = 724(log S2 loS Bt)-(124) From these equations a value for 7 will be found. Fourth, let the depth D be varied. This will give log lD1-log lD3 = 18(log D1-log D3) (125) and log 1-log lDi = eM(log D2-log 24). (126) From these equations a value for e will be found. If the values found for are nearly the same, for ft nearly the same, for 7 nearly the same, and for e nearly the same, this justifies the form assumed for the desired relation. If the values experimentally obtained for any one of the quantities a, /8, 7, are not nearly the same, this means that the form assumed is not the form of the relation which actually exists, and some other form must be tried. The equation obtained by substituting for, /3, 7, e their values thus experimentally determined is called an empirical formula. The statement of the facts expressed by this formula constitutes the law of bending. The values obtained for these four constants should be very nearly a = 1, /9 = 3, 7 =--1, e =--3. If exactly these values are obtained, the law of bending will be expressed analytically by the equation Whatever the form of the empirical equation that is actually found, the value of k is determined by substituting in this equation a set of corresponding values for l, F, L, B, and D. Several such sets...
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Add this copy of A Manual of Practical Physics Volume 1 to cart. $59.74, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2016 by Palala Press.
