Notes and examples in mechanics; with an appendix on the graphical statics of mechanism; (1903)
Church, Irving P. (Irving Porter), 1851-1931 · New York, J. Wiley & sons; [etc., etc.] · leaf 88
an resort to Simpsons Rule (§ 15), noting that the u^ x, and dx of that rule correspond to the {z^v\ 0, and dz^ respectively, of the present problem. We divide the whole height of the figure (from the axis X) into an even number n of equal parts, and through each point of division draw a parallel… … Fig. 93. 6, 3X6 {z:v,+4.{zx+^>,+Kv:) -f 2(.,x -f z:v,) + ^,vj. With numerical substitution, therefore, the lengths marked inthe figure having been scaled in fiftieths of an inch (noting that 80 NOTES AND EXAMPLES IN MECHANICS. z, = 0, z,= ^B^, 2^ — p,, 2, = p,, etc.), we have, as the I^ ofthe…