281 



The length of the perpendicular from the toe of the face 

 to the top, or top produced, is represented by hi ; and the 

 length of the face itself by h. 



ivh\^ is multiplied by the coefficients in Columns 4 to 1 1 

 inclusive, to find the resistances; and wh^ by the coefficients 

 in Columns 11 and 12. 



Table of Coefficients for finding the maximum Values of the 

 Resistances for different Angles of Repose; also the Coef- 

 ficients for finding the ultimate Values of the Resistances 

 when the Face is vertical, and Scarp at the natural Slope. 



1 



2 



3 



4 



5 



6 



7 



8 



9 



10 



11 



12 



13 



3^tol* 



16" 



740 



.284 



.228 



.249 



.218 



.287 



.239 



.209 



.276 



.481 



.462 





17 



73 



.274 



218 



.239 



.207 



.271 



.228 



.198 



.259 



-478 



.457 



3tol* 



18| 



7U 



.259 



.207 



.226 



.193 



.266 



.214 



.183 



.262 



.474 



.450 



2itor 



22 



68 



.228 



.177 



.197 



.164 



.210 



.183 



.152 



.195 



.464 



.430 



2tol' 



27 



63 



.188 



,141 



.165 



.130 



.208 



.147 



.116 



.186 



.446 



.397 





29 



61 



.173 



.129 



.155 



.119 



.197 



.136 



.104 



.172 



.437 



.382 





31 



59 



.160 



.117 



.144 



.108 



.188 



.123 



.093 



.161 



.429 



.367 





32 



58 



.163 



.111 



.139 



.103 



.183 



.118 



.087 



.155 



.424 



.360 





33 



57 



.147 



.106 



.134 



.098 



.177 



.113 



.082 



.149 



.419 



.352 



litol* 



34 



66 



.141 



.101 



.129 



.094 



.173 



.107 



.078 



.143 



.415 



.344 





35 



65 



.135 



.096 



.126 



.090 



.169 



.103 



.074 



.138 



.410 



.336 





36 



54 



.130 



.090 



.121 



.086 



.166 



.098 



.070 



.133 



.406 



.327 





37 



53 



.124 



.084 



.117 



.081 



.161 



.093 



.065 



.129 



.400 



.319 





39 



51 



.114 



.077 



.108 



.074 



.154 



.084 



.057 



.120 



.389 



.302 





41 



49 



.104 



.069 



.102 



.067 



.146 



.077 



.051 



.110 



.327 



.284 





43 



47 



.094 



.062 



.095 



.061 



.140 



.069 



.046 



.102 



.366 



.267 



Ito 1 



45 



45 



.085 



.054 



.089 



.055 



.134 



.063 



.039 



.095 



.364 



.260 





47 



43 



.077 



.048 



.083 



.049 



.129 



.057 



.033 



.088 



.341 



.233 





49 



41 



.070 



.042 



.077 



.044 



.123 



.051 



.029 



.081 



.328 



.216 





51 



39 



.062 



.036 



.072 



.039 



.118 



.045 



.025 



.074 



.316 



.198 



ftol* 



53 



37 



.056 



.031 



.066 



.035 



.113 



.040 



.021 



.068 



.301 



.181 





55 



35 



.049 



.027 



.062 



.031 



.109 



.036 



.018 



.062 



.287 



.165 





57 



33 



.048 



.022 



.057 



.027 



.105 



.031 



.015 



.057 



.272 



.149 



The slopes marked thus * are approximate. 



In the preceding equations we have only considered the 

 maximum retaining-forces. The minimum overcoming-forces, 

 and the position of the corresponding fractures, are determined 

 in a similar manner, and by similar equations. Retaining the 



