Treatise On the Various Elements of Stability in the Well Proportioned Arch

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Treatise On the Various Elements of Stability in the Well Proportioned Arch
Daniel P Daniel Phineas Woodbury
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Rz=zQ, ' ; i?=7'. 668, A^=:1. 278 ; 7=86° 46'; ^=6'. 60 ; // = 18' below the springing line-f- 12' above, = 30'; ?=18'+ r +§(7?-r) = 25'. N2 ; J^= 14'. 28; ^'=12'. 59; 71=52. 3350; 7^^ = 149. 254.
This case does not come directly under table FF; but, comparing that with table DDD, we infer that the coeffi- cient of stability is about 1. 69 ; the ultimate thrust of the arcli, Avithout including the effect of the surcharge C/f, • TaUe FF, A'= 1. 2. 5, 7=55', . . . I^=r^x 0. 2916 0. 2'. TlG Table
...FF, A'= 1. 25, 7=60° 7'"= r» x 0. 2529 Difference for tlie interval of 5' in 7, . =r''x 0. 0387 5° : 0. 0387 :: r. 0564 : «= .... 0. 0082 Hence the thrust of the arch •without surcharge, . . ^r'x 0. 2834=55. 5464 AJ«1 for gurchnrge, last column of table FF, . 4 = 14' x 5. 90 x0. 7163 . =59. 1664 Total thru3t=7''=114. 7128 Tlie nltiniate lliruM, art. 67, ox. 2, is 74. 80 ; the coeflBcient of stability, table FF, A'= 1. 25, 7=55', 60% i. S 1. 53. 74. 86x1. 53 . . . =114. 5358 THICKNESS OF PIER.

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