The Mechanics of Architecture a Treatise On Applied Mechanics Especially Adapte
The Mechanics of Architecture a Treatise On Applied Mechanics Especially Adapte
E Wyndham Edward Wyndham Tarn
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E /'. 7W# We will apply these formulae to the case where a = 22|, or "arc a" = -3927, sin. A = -38268, cos. A = 92388, sin. 2 a = cos. 2 a = -70711, sin. 2 a = -14645, 1 +2 sin. 2 a = 1-2929. P = 1)1163(R 3 -O{-9239(l-cos. 0)--3827(0-sin. 0)}2 1 2-5858 + -707 (1 - cos. 2 - sin. 2 0) - 2-828 (1 - cos. 0) - 1-172 sin. J -r | '9239 (1 - cos. 0) - -3827 (0 - sin. 0) j Ep = r {-9239 sin. - -3827 (1 - cos. 0)} - mp mn = -4619 (R + r) - (-9239 cos. - -3827 sin. 0) r. In order to find the greatest valu...e of N, we put R = 11, r = 10, and calculate the above formulae for different values of ; then we find that N is greatest when = 54, or, a + = 76J, so that OE makes 13 with the horizontal line OC. In this case we have = -94248, cos. = -5878, sin. = -80902, sin. 20 = 95106, cos. 20=- -30902. P = -003837 (R' - r 1 ) 5 mp = -32756 |^ GOTHIC DOME. 283 N = -002262 (R 3 - r 1 ) ; - -001258 (R 4 - ?") 46194 K + -&J4Ur If we put F for the weight of the part of the lune between EF and CD acting at its centre of gravity ; we find from the equation (179), by integrating from = 54 to e = 90 - a, that which in the present case becomes F = -001667 (R 3 - r') .
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