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

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