. The Civil engineer and architect's journal, scientific and railway gazette. Architecture; Civil engineering; Science. 1840. J THE CIVIL ENGINEER AND ARCHITECTS JOURNAL. 81 bottom was porous, k should be increased to about 3X1S-4â5 = â5=.'iO feet. This shows the importance of securing the bed of the dam from water b)' dredging, or otherwise clearing away all porous materials. Problem VIII. To find the strength of a dam (form fig. 4) sufficient to resist the pressure of a given depth of water. Fig. By using the same notation as before, putting/for EK, and k for d, k 125r" c DE, we
. The Civil engineer and architect's journal, scientific and railway gazette. Architecture; Civil engineering; Science. 1840. J THE CIVIL ENGINEER AND ARCHITECTS JOURNAL. 81 bottom was porous, k should be increased to about 3X1S-4â5 = â5=.'iO feet. This shows the importance of securing the bed of the dam from water b)' dredging, or otherwise clearing away all porous materials. Problem VIII. To find the strength of a dam (form fig. 4) sufficient to resist the pressure of a given depth of water. Fig. By using the same notation as before, putting/for EK, and k for d, k 125r" c DE, we get »hdy,{--\-k)-\-skf'ââ- X-for the equation of 2t Z id o equilibrium from which s 6 (l--\-2 s bdk-\-s/k- â â 12 5e^ This equation , , â , 125c3 k-'f . ,2hd, 125c3 bd"^ â gives us cZ-+2fZA=-:rT -⢠and k"-\ -^k=-xâ-, j-. From these we find a=v}^+^''~{K~k (1), and 36s 0 i^^^^JlljJ'l^J'J:.. (2). From these values for d and * 3»/ f f- b we can fiud one when the other is given. Example \.âHaving given *=4 feet,/= 10 feet, i = 21 feet, and c=n feet, to find the value oi di /125c3 {iâf)k^ 7014125 Vt'Q , Bj^equatio,, (i) ,=V^ +L_Z_ _,=^__+___4 = V108-3+8-4 - 4 = V1IIJ'^ - 4 = 10-S - 4 = G-S, or 7 feet nearly, the value required. Example 2.âSuppose *=10 feet, f~\7 feet, i=33 feet, and c=30 feet, what is the width {d) equal to? â , T25X3U' ItiXlU ,,^ , 1250U , IGOO , Here d=./â -L ^r 10=V- â-l - 1(J = 3X33X90 33 33 33 V 141U0 33 -10=v/427-3-10=20-7-10=10'7 feet, the width re- quired. Example 3.âTo find tlie value of k wheud=6 feet, the otlier dimensions remaining the same as in Example 1. Frpm equation (2) *=V!!!f!_i^+^_*-i= 38/ / +/â¢-' / V 614125 756 , 15876 126 jyy--^=V227-5-75-6+158-8-12-G = 2700 10 V310-7â12-6=17'6â12-6 =5 feet, the value sought. Example 4.âTo find the value of k when (^=10 feet, the other dimensions remaining the same as in Example 2. Here t=:/\/ ^^^^^O' 33X10^ 33nU'^ 33xlO_^ 3X90X17 17 ^ 172 17 "^ V 12500â3300 .
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