Notes And Examples in Mechanics; With An Appendix On the Graphical Statics of Mechanism;

Cover Notes And Examples in Mechanics; With An Appendix On the Graphical Statics of Mechanism;
Notes And Examples in Mechanics; With An Appendix On the Graphical Statics of Mechanism;
Irving P Irving Porter Church
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in.
Similarly, the vertical height of the lower part being divided into four equal lengths, we have for the /„ of that part (nearly) ^ |^.[^ + *(1* X 53 + y X 2M)+ 2(2' X 103) + 4' X 266] = 129,870,000 bi. fiftieths. Dividing by (50)*, we have 20.77 bi. in. ; so that the total Ix of the complete rail-section = 20.77 + 25.27 = 46.04 bi. in.
JTis a gravity axis parallel to the base of the rail-section, and has been located by cutting out the shape from card-board and balancing on a needle-point.
...If the plane figure is of such a form that a division into strips perpendicular to, and all terminating in, the axis of reference (X) is convenient, the exact cal- culus form for its Ix is iJy*dx (see latter part of § 93, M., of E.), for each strip is an elementary rectangle. See Fig. 94.
If Simpson's Rule is to be applied, divide the base OX of the figure into an even number, w, of equal parts and scale the extreme ordinates y^=AO and y^= jBX, also the intermediate ordinates y^ , j^, , etc., at the points of divi- sion.


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