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<br />EM 1110-2-2902, Appendix III, 3 Mar 1969
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<br />EXPLANATION OF co~s:
<br />(I'tumbers refer to pertinent cOlumns)
<br />(14) Cantilever ~ent l'rom l~ t111les unit vertical load to right of cellter of eltl'llent
<br />(16) CantOeve... llllllIIent (rom load on e~trldos (rOIl point above center of element to
<br />point radially opposite center '
<br />(17) Cantilever lllOIIlent from one.halr IIn1t horilontal load .bove center of element
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<br />(19)
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<br />C4nt11ever JIlPIlent from load on elltrados from point horizontally oppo;ite
<br />center Of element to point radially opposite
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<br />'<:. I,--F/~:~~~,
<br />...
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<br />71.}'"
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<br />1281
<br />1291
<br />1301
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<br />fH~ Ho+ 1/2{R+'J ven (1"
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<br />(Note: verslne'" 1 - cosine)
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<br />fy' 3/2 (f:! + I) 5l~ (I.
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<br />N' F... ,in (I. F" cas,., it
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<br />(31) v' f... cos f6 + FM sa" ,I" (Negative when portion due to FM eXCeeds tl1.t from Fyl
<br />.{)(Ies not apply ;'1 straight portions of cross section
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<br />NOTES:
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<br />IJ KIp, PW fool
<br />lIIIIIIIllIIIII
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<br />1. Values shown are ~sed on unit lo<lding with a ratio of horizontal earth pres~ure
<br />to effectlve vertir.A1 pressure of one. third .
<br />2. E)(terna1 hydrostatic pressure has not been considered.
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<br />LOADS AND COORDINATES
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<br />MOMENT DIAGRAM
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<br />!';~:r~:~~';
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<br />, , 3 4 , I , , 8 9 '0 11 12 13 14 I" " 17 I 181 19 20 I 21 i 22 2l " " " 27 " 29 30 11 1
<br /> Coordinat.. For Vert Load For Hom, Load Cantilever Moment
<br /> Irom crown ~CO"!{;COs,
<br />No. .in, t' o=h y 3X' !sin; ~Ii~ {)'t+~f VerI HOflz. m+M" No
<br /> ~ cos, X y, d. t oy, oy' m mo moy HoY Mom F, F" ThrustlSheor
<br />I,} ~l'-""~ t' {Y-YI) .- , (14-161 (17-19) (20+21} 125+261 N V (,)
<br /> Rt sin') I 4 4 -.-
<br />". 12.000' I +97.49 -81.00 +16.49 0 -6.75 6.75 0 ".
<br />, 7.-30' 0.131 0.991 .1.18' 0.081 2.356' 3.0' 27.0 lr~H:Hhvtl "- 11.919 142.0 1.04 0.196 0.029 0.625 1 .487 0.553 -1.01 -0.07 -1.08 -1.08 -12.9 +96.41 -80.45 +15.96 2.06 _6.70 6.91 1.16 1
<br />, 22..30' 0.383 0.924 -3.45' 0.684 2.356' 3.0' 27.0 1.00 0; 11.316 128.0 8.93 0.574 0.247 1.192 1 .386 0.480, -8.68i -0.71 -9.39 -9.39 -106.3 +88.10 -76.38 +11.72 6.03 -6.35 8.18 3.14 ,
<br />3 37.-30' 0.609 0.793 -5.48' 1.860 2.356' 3.0' 27.0 1.00 E to. f40 T02.B ZZ.SZ 0.9f3 0.625 2.822 1 .190 0.354 -11.90 I -2.47 -24.37 -24.37 -247.1 +73.12 -68.45 +4.67 9.59 -5.67 10.33 4.14 3
<br />4 52"-30' 0.793 0.609 -7.14' 3.520 2.356' 3.0' 27.0 1.00 " 8.480 71.9 38.23 1.190 1.062 6.300 0.913' 0.209 -37.17 i -6.09 -43.26 -43.26 -366.8 +54.23 -57.24 -3.01 12.49 -4.70 12.761 3.88 .
<br /> ,
<br />, 6P-JO' 0.9Z4 0.383 -8.3l' 5.550 Z.356' 3.0' 27.0 1.00 . 6.450 41.6 51.92 1.386 1.440 12.43 0.574 I 0.082 -50.481 -12.351 -62.83 -62.83 -405.3 +34.66 .43.54 -8.88 14.55 -3.51 14.78 2.34 ,
<br />, ..... ..,,, "nt" , 131 -8.92' 7.820 2.356' 3.0' 27.0 100 ~ 4.180 17.5 59.67 1.487 1.658 21.71 0.196! 0.010 -58.01 ! -21.70] -79.71 -79.71 -333.2 +11.78 -28.22 -10.44 15.61 -2.19 15 '1 .0.11 6
<br />0.<.""
<br />.. -9.00' 10.000 2.000' 3.0' 27.0 0.849 . 2.000 3-4 60.75 1.500 1.687 33.06 - I . -59.06 .33.06 -9Z.IZ -7B.ZO -156.4 +5.37 -13.50 -6.13 15.75 -1.00 15.75 1-1.00 6A
<br /> <>
<br />'-7 -9.00' 12.000 2.000' 3.0' 27.0 0.849 '''- 0 0 60.75 1.500 1.687 45.56 - I - -59.06 -45.56 -104.62 -88.82 0 -1.13 0 -7.13 15.75 0 i"is.75 0 ,.,
<br />'A -9.00' 14.000 2.000' 3.0' 27.0 0.849 < -2.000 3.' 60.75 1.500 1.687 60.06 - , - -5\1.06 -60.06 -119.12 -101.20 +202.4 -21.63 +13.50 -8.13 15.75 -1.00 115.75 ! -1.00 'A
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<br />, -8.92' 16.180 2.356' 3.0' 2].0 1.00 ~ -4.180 11.5 59.67 1.487 1.658 18.15 0.196 i 0.010 -58.01 -78.141-136.15 .136.15 +569.1 -38.66 +28.22 -10.44 15.61 -2.1_~_'.~_~O.11 7
<br />8 -8.]2' 18.450 2.3S6' 3.0' 27.0 1.00 0 .6.450 41.6 51.92 1.386 1.440 99.52 0.574 ! 0.082 .50.48 i -99.44 -149.92 -149.92 +967.0 -52.43 +43.54 -8.89 14.55 .3.51 14.7812.34 8
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<br /> -7.14' ~ 71.9 38.23 1.062 120.72 0.913 ! 0.209 -37.17 i-120.51 -157.68 ~ 1 57.68 +1,337.1 .60.19 +57.24 . b--
<br />9 20.480 2.356' 3.0' 27.0 1.00 -8.480 1.190 -2.95 12.49'-4..:!9_~1.?_:.?~~ ~
<br />10 -5.~8' 22.140 2.356' 3.0' 2].0 1.00 :ll , -10.140 102.8 22.52 0.913 0.625 139.80 1.190 i 0.354 -21.901-139.44 -161.34 -161.34 +1,634.0 -63.85 +68.45 +4.60 9.59 I -5.67 .~~~~~~~~ ~
<br />11 -3.45' 23.320 2.356' 3.0' 27.0 1.00 ~ -11.316 128.0 8.93 0.574 0.247 154.05 1.386 i 0.480 -8.68 ! -153.57 -162.25 -162.25 +1,8]6.0 .64.76 +76.38 +11.62 6.03 .6.35 8.18 : 3.14 11
<br />12 -1.18' 23.920 .2.356' 3.0' 27.0 1.00 , -11.919 142.0 1.04 0.196 0.029 161.55 1 .487 ~ 0.553 -1.011-161.00 -162.01 .162.01 +1,931.0 -64.52 +80.45 +15.93 2.06 -6.7_0: 6.91! 1.16 12
<br />,,, " -12.000 162.56 i-'-50~ O.56.~t_~_ !-1-62.:.?_0 -162.00 -54.51 ." 00 +16.49 0 -6.75 6.7510 Jnv.
<br />I 14.547 014.4 1,418.21 +6,848.6 I I I
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<br />'i = t.t~YI = Distance frOll center line at crown to elastic center
<br />(In this case, elastic center is in phy~ica1 center of conduit.)
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<br />Imo -1418.21 9
<br />Mo=-I'Q=-'14:"Sfr- +97.4
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<br />OBlONG SEemN - CASE 1 LOAo'NjG
<br />
<br />1-1_._ lmo)'=_+61~:': . -6.75
<br />'V IoyZ O.
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<br />PLAT E
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