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UNIVERSIDADE CATLICA DE GOISDEPARTAMENTO DE ENGENHARIACLCULO MOMENTOS, REAES E FLECHAS EM LAJES 2D - TABELAS CZERNY
Pr!"# A$%&r' V($&$) C*)&r
Reviso: Tarlley Jr GB 7/10/15 21:40
LAJES ARMADAS EM DUAS DIREES
TABELAS DE CZERNY
CASS !" #A" #B" $" %A" %B" &A" &B" '
CE(ICIENTES )ARA DETERMINA* DE:
+ MMENTS (LETRES,
+ REAES DE A)I,+ (LEC-AS M./IMAS0
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UNIVERSIDADE CATLICA DE GOISDEPARTAMENTO DE ENGENHARIACLCULO MOMENTOS, REAES E FLECHAS EM LAJES 2D - TABELAS CZERNY
Pr!"# A$%&r' V($&$) C*)&r
Reviso: Tarlley Jr GB
TABELAS DE CZERNY
CAS !
!011 !01& !0!1 !0!& !0#1
23 27.2 24.5 22.4 20.7 19.1
2y 27.2 27.5 27.9 28.4 29.1
43 0.250 0.262 0.273 0.283 0.2924y 0.250 0.238 0.227 0.217 0.208
56 0.049 0.054 0.058 0.063 0.068
Ro78a" A0M0" CNCRET ARMAD"4ol0 I" E90 Noel" !;6a"40C0M0" LAJES EM CNCRET ARMAD E )RTENDID" EDU((" !;;%
ly ?@ vo 2aior ? !011 2
l3 ?@ vo 2eor ? !011 2
?@ 7ara 9isri>9a For rea ? !011 HN2#
8 ?@ esFess>ra 9a lae ? 10!1 2
E ?@ ? 2K9>lo 9e elas0 ? #!#
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!0#& !0$1 !0$& !0%1 !0%& !0&1
17.8 16.8 15.8 15.0 14.3 13.7
29.9 30.9 31.8 32.8 33.8 34.7
0.300 0.308 0.315 0.321 0.327 0.3330.200 0.192 0.185 0.179 0.173 0.167
0.073 0.077 0.081 0.085 0.089 0.093
? 101% HN02 My ? ? 101% HN0223 2y
4300l3 ? 10#& HN2 Ry ? 4y00ly ? 10#& HN2
0l3# 0l3#
Ry
M3
7/24/2019 Tabelas Czerny - Tarlley Jr Gb Rev_03
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INTER)LA
!0&& !0'1 !0lo 9e elasi7i9a9e
5 ? ? 1011 2
BS: >a9o o la2i9a Ole2 valores ere !"'1+!"#"11" Q e7essrio ierFvalores 2a>al2ee" Fr9>as 7ol>as laerias 9a i7o2 os valores aela9osCZERNYOi7l>i9o os 9e l>e Fossa ser 7al7>la9a
7orrea a 7ol>a 9o 2ei
0l3%
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!01110.000
0.000
0.0000.000
0.000
yl3P res>lar1 o> !"
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UNIVERSIDADE CATLICA DE GOISDEPARTAMENTO DE ENGENHARIACLCULO MOMENTOS, REAES E FLECHAS EM LAJES 2D - TABELAS CZERNY
Pr!"# A$%&r' V($&$) C*)&r
Reviso: Tarlley Jr GB
TABELAS DE CZERNY
CAS #A
!011 !01& !0!1 !0!& !0#1
23 41.2 36.5 31.9 28.3 25.9
2y 29.4 29.0 28.8 28.8 28.9
y 11.9 11.3 10.9 10.4 10.143 0.183 0.193 0.202 0.211 0.220
0.402 0.388 0.378 0.366 0.355
0.232 0.226 0.218 0.212 0.205
56 0.033 0.038 0.042 0.047 0.051
Ro78a" A0M0" CNCRET ARMAD"4ol0 I" E90 Noel" !;6a"40C0M0" LAJES EM CNCRET ARMAD E )RTENDID" EDU((" !;;%
ly ? vo 2aior ? !011 2 23
l3 ? vo 2eor ? !011 2 2y
? 7ara 9isri>9a For rea ? !011 HN2# y
8 ? esFess>ra 9a lae ? 10!1 2
ly
? !01111 M3 ? ? 101# HN02l3 23
10!< HN2
! coef. paa momentos e ea"$es# coef. paa %ec&a m'xima
4y!
4y#
5oe!:
5oe#:
0l3#
?
R3 ? 4300l3 ?
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!0#& !0$1 !0$& !0%1 !0%& !0&1
23.4 21.7 20.1 18.8 17.5 16.6
29.2 29.7 30.2 30.8 31.6 32.3
9.8 9.6 9.3 9.2 9.0 8.90.230 0.239 0.248 0.256 0.264 0.272
0.342 0.331 0.320 0.310 0.300 0.289
0.198 0.191 0.184 0.179 0.173 0.167
0.056 0.060 0.065 0.069 0.073 0.077
= 41.200 43 = 0.183 56 = 0.033
= 29.400 = 0.402 E ? 2K9>lo 9e elas0 ? #!#
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INTER)
!0&& !0'1 !0a9oe2 valores e#"11" Q e7es2a>al2ee7ol>as laerivalores aelos 9e la2i97al7>la9a a i7ol>a 9o 2ei
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LA*!0111 !011141.200 41.200
29.400 29.400
11.900 11.9000.183 0.183
0.402 0.402
0.232 0.232
0.033 0.033
o la2i9a Olyl3P res>larre !"'1+!" !"
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UNIVERSIDADE CATLICA DE GOISDEPARTAMENTO DE ENGENHARIACLCULO MOMENTOS, REAES E FLECHAS EM LAJES 2D - TABELAS CZERNY
Pr!"# A$%&r' V($&$) C*)&r
Reviso: Tarlley Jr GB
TABELAS DE CZERNY
CAS #B
!011 !01& !0!1 !0!& !0#1
23 31.4 29.2 27.3 25.8 24.5
2y 41.2 43.2 45.1 47.1 48.8
3 11.9 11.3 10.9 10.5 10.20.402 0.412 0.422 0.431 0.440
0.232 0.238 0.244 0.249 0.254
4y 0.183 0.175 0.167 0.160 0.153
56 0.033 0.036 0.038 0.040 0.042
Ro78a" A0M0" CNCRET ARMAD"4ol0 I" E90 Noel" !;6a"40C0M0" LAJES EM CNCRET ARMAD E )RTENDID" EDU((" !;;%
ly ? vo 2aior ? !011 2 23
l3 ? vo 2eor ? !011 2 2y ? 7ara 9isri>9a For rea ? !011 HN2# 3
8 ? esFess>ra 9a lae ? 10!1 2
ly
? !01111 M3 ? ? 101$ HN02l3 23
10%1 HN2
! coef. paa momentos e ea"$es# coef. paa %ec&a m'xima
43!
43#
5oe!:
5oe#:
0l3#
?
R3! ? 43
!00l3 ?
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!0#& !0$1 !0$& !0%1 !0%& !0&1
23.4 22.4 21.6 21.0 20.3 19.8
50.3 51.8 53.2 54.3 55.0 55.6
9.9 9.7 9.4 9.3 9.1 9.00.447 0.455 0.461 0.468 0.474 0.479
0.259 0.263 0.267 0.270 0.274 0.277
0.147 0.141 0.136 0.131 0.126 0.122
0.044 0.046 0.047 0.049 0.050 0.051
= 31.400 = 0.402 56 = 0.033
= 41.200 = 0.232 E ? 2K9>lo 9e elas0 ? #!#
7/24/2019 Tabelas Czerny - Tarlley Jr Gb Rev_03
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INTER)
!0&& !0'1 !0a9oe2 valores e#"11" Q e7es2a>al2ee7ol>as laerivalores aelos 9e la2i97al7>la9a a i7ol>a 9o 2ei
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LA*!0111 !011131.400 31.400
41.200 41.200
11.900 11.9000.402 0.402
0.232 0.232
0.183 0.183
0.033 0.033
o la2i9a Olyl3P res>larre !"'1+!" !"
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UNIVERSIDADE CATLICA DE GOISDEPARTAMENTO DE ENGENHARIACLCULO MOMENTOS, REAES E FLECHAS EM LAJES 2D - TABELAS CZERNY
Pr!"# A$%&r' V($&$) C*)&r
Reviso: Tarlley Jr GB
TABELAS DE CZERNY
CAS $
!011 !01& !0!1 !0!& !0#1
23 40.2 38.0 35.1 32.2 30.0
2y 40.2 41.0 42.0 42.9 44.0
3 14.3 13.3 12.7 12.0 11.5y 14.3 13.8 13.6 13.3 13.1
0.317 0.332 0.347 0.359 0.371
0.183 0.191 0.198 0.205 0.212
0.317 0.302 0.288 0.276 0.264
0.183 0.175 0.167 0.160 0.153
56 0.025 0.028 0.030 0.033 0.035
Ro78a" A0M0" CNCRET ARMAD"4ol0 I" E90 Noel" !;6a"40C0M0" LAJES EM CNCRET ARMAD E )RTENDID" EDU((" !;;%
ly ? vo 2aior ? !0111 2 23
l3 ? vo 2eor ? !0111 2 2y
? 7ara 9isri>9a For rea ? !011 HN2# 3
8 ? esFess>ra 9a lae ? 10!1 2 y
ly
? !01111 M3 ? ? 101# HN02l3 23
! coef. paa momentos e ea"$es
# coef. paa %ec&a m'xima
43!
43#
4y!
4y#
5oe!:
5oe#:
0l3#
?
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!0#& !0$1 !0$& !0%1 !0%& !0&1
28.0 26.5 25.2 24.1 23.1 22.2
45.6 47.6 49.6 51.0 52.1 53.0
11.1 10.7 10.3 10.0 9.8 9.612.9 12.8 12.7 12.6 12.5 12.4
0.381 0.391 0.400 0.408 0.416 0.424
0.218 0.224 0.229 0.234 0.239 0.243
0.254 0.244 0.235 0.227 0.219 0.211
0.147 0.141 0.136 0.131 0.126 0.122
0.037 0.039 0.041 0.043 0.044 0.046
= 40.200 = 0.317 56 = 0.025
= 40.200 = 0.183 E ? 2K9>lo 9e elas0 ? #!#
7/24/2019 Tabelas Czerny - Tarlley Jr Gb Rev_03
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INTER)
!0&& !0'1 !0a9o
e2 valores e#"11" Q e7es2a>al2ee7ol>as laerivalores aelos 9e la2i97al7>la9a a i7ol>a 9o 2ei
0l3#
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R3!
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!
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LA*!0111 !011140.200 40.200
40.200 40.200
14.300 14.30014.300 14.300
0.317 0.317
0.183 0.183
0.317 0.317
0.183 0.183
0.025 0.025
o la2i9a Olyl3P res>lar
re !"'1+!" !"
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UNIVERSIDADE CATLICA DE GOISDEPARTAMENTO DE ENGENHARIACLCULO MOMENTOS, REAES E FLECHAS EM LAJES 2D - TABELAS CZERNY
Pr!"# A$%&r' V($&$) C*)&r
Reviso: Tarlley Jr GB
TABELAS DE CZERNY
CAS %A
!011 !01& !0!1 !0!& !0#1
23 63.3 52.2 46.1 39.8 35.5
2y 35.1 33.7 32.9 32.2 31.7
y 14.3 13.4 12.7 12.0 11.543 0.144 0.151 0.159 0.166 0.173
4y 0.356 0.349 0.341 0.334 0.327
56 0.023 0.027 0.030 0.034 0.038
Ro78a" A0M0" CNCRET ARMAD"4ol0 I" E90 Noel" !;6a"40C0M0" LAJES EM CNCRET ARMAD E )RTENDID" EDU((" !;;%
ly ? vo 2aior ? !0&1 2 23
l3 ? vo 2eor ? !011 2 2y
? 7ara 9isri>9a For rea ? !011 HN2# y
8 ? esFess>ra 9a lae ? 10!1 2
ly
? !0&111 M3 ? ? 101& HN02l3 23
10## HN2
! coef. paa momentos e ea"$es
# coef. paa %ec&a m'xima
5oe!:
5oe#:
0l3#
?
R3 ? 4300l3 ?
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!0#& !0$1 !0$& !0%1 !0%& !0&1
31.5 28.5 25.8 23.7 22.0 20.4
31.3 31.2 31.2 31.4 31.7 32.1
11.1 10.7 10.3 10.0 9.8 9.50.180 0.188 0.196 0.203 0.210 0.217
0.320 0.312 0.304 0.297 0.290 0.283
0.043 0.047 0.051 0.055 0.060 0.064
= 20.400 43 = 0.217 56 = 0.064= 32.100 4y = 0.283 E ? 2K9>lo 9e elas0 ? #!#
7/24/2019 Tabelas Czerny - Tarlley Jr Gb Rev_03
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INTER)
!0&& !0'1 !0a9oe2 valores e#"11" Q e7es2a>al2ee7ol>as laerivalores aelos 9e la2i97al7>la9a a i7ol>a 9o 2ei
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LA*!0&11 !0&1120.400 20.400
32.100 32.100
9.500 9.5000.217 0.217
0.283 0.283
0.064 0.064
o la2i9a Olyl3P res>larre !"'1+!" !"
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UNIVERSIDADE CATLICA DE GOISDEPARTAMENTO DE ENGENHARIACLCULO MOMENTOS, REAES E FLECHAS EM LAJES 2D - TABELAS CZERNY
Pr!"# A$%&r' V($&$) C*)&r
Reviso: Tarlley Jr GB
TABELAS DE CZERNY
CAS %B
!011 !01& !0!1 !0!& !0#1
23 35.1 33.0 31.7 30.4 29.4
2y 61.7 64.5 67.2 69.6 71.5
3 14.0 13.8 13.5 13.2 13.043 0.356 0.363 0.369 0.375 0.380
4y 0.144 0.137 0.131 0.125 0.120
56 0.023 0.024 0.025 0.026 0.027
Ro78a" A0M0" CNCRET ARMAD"4ol0 I" E90 Noel" !;6a"40C0M0" LAJES EM CNCRET ARMAD E )RTENDID" EDU((" !;;%
ly ? vo 2aior ? !011 2 23
l3 ? vo 2eor ? !011 2 2y
? 7ara 9isri>9a For rea ? !011 HN2# 3
8 ? esFess>ra 9a lae ? 10!1 2
ly
? !01111 M3 ? ? 101$ HN02l3 23
10$' HN2
! coef. paa momentos e ea"$es
# coef. paa %ec&a m'xima
5oe!:
5oe#:
0l3#
?
R3 ? 4300l3 ?
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!0#& !0$1 !0$& !0%1 !0%& !0&1
28.5 27.8 27.1 26.6 26.1 25.8
72.8 73.5 74.1 74.6 75.3 75.8
12.7 12.6 12.4 12.3 12.2 12.20.385 0.389 0.393 0.397 0.401 0.404
0.115 0.111 0.107 0.103 0.099 0.096
0.028 0.028 0.029 0.029 0.029 0.030
= 35.100 43 = 0.356 56 = 0.023= 61.700 4y = 0.144 E ? 2K9>lo 9e elas0 ? #!#
7/24/2019 Tabelas Czerny - Tarlley Jr Gb Rev_03
24/37
INTER)
!0&& !0'1 !0a9oe2 valores e#"11" Q e7es2a>al2ee7ol>as laerivalores aelos 9e la2i97al7>la9a a i7ol>a 9o 2ei
0l3%
E08$
R
y
R3
R3
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7/24/2019 Tabelas Czerny - Tarlley Jr Gb Rev_03
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LA*!0111 !011135.100 35.100
61.700 61.700
14.000 14.0000.356 0.356
0.144 0.144
0.023 0.023
o la2i9a Olyl3P res>larre !"'1+!" !"
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UNIVERSIDADE CATLICA DE GOISDEPARTAMENTO DE ENGENHARIACLCULO MOMENTOS, REAES E FLECHAS EM LAJES 2D - TABELAS CZERNY
Pr!"# A$%&r' V($&$) C*)&r
Reviso: Tarlley Jr GB
TABELAS DE CZERNY
CAS &A
!011 !01& !0!1 !0!& !0#1
23 55.9 51.6 46.1 41.4 37.5
2y 44.1 43.6 43.7 44.2 44.8
3 18.3 16.6 15.4 14.4 13.5y 16.2 15.4 14.8 14.3 13.9
0.250 0.263 0.275 0.288 0.301
0.144 0.149 0.157 0.164 0.171
4y 0.304 0.294 0.284 0.274 0.264
56 0.019 0.021 0.024 0.026 0.028
Ro78a" A0M0" CNCRET ARMAD"4ol0 I" E90 Noel" !;6a"40C0M0" LAJES EM CNCRET ARMAD E )RTENDID" EDU((" !;;%
ly ? vo 2aior ? !011 2 23l3 ? vo 2eor ? !011 2 2y
? 7ara 9isri>9a For rea ? !011 HN2# 3
8 ? esFess>ra 9a lae ? 10!1 2 y
ly
? !01111 M3 ? ? 101# HN02l3 23
10#& HN2
! coef. paa momentos e ea"$es
# coef. paa %ec&a m'xima
43!
43#
5oe!:
5oe#:
0l3#
?
R3! ? 43
!00l3 ?
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!0#& !0$1 !0$& !0%1 !0%& !0&1
34.2 31.8 29.6 28.0 26.4 25.2
40.5 46.9 48.6 50.3 52.3 55.0
12.7 12.2 11.6 11.2 10.9 10.613.5 13.3 13.1 13.0 12.8 12.7
0.314 0.327 0.339 0.350 0.360 0.370
0.178 0.185 0.191 0.196 0.202 0.208
0.254 0.244 0.235 0.227 0.219 0.211
0.031 0.033 0.035 0.037 0.039 0.041
= 55.900 = 0.250 56 = 0.019= 44.100 = 0.144 E ? 2K9>lo 9e elas0 ? #!#
7/24/2019 Tabelas Czerny - Tarlley Jr Gb Rev_03
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INTER)
!0&& !0'1 !0
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LA*!0111 !011155.900 55.900
44.100 44.100
18.300 18.30016.200 16.200
0.250 0.250
0.144 0.144
0.304 0.304
0.019 0.019
o la2i9a Olyl3P res>larre !"'1+!" !"
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UNIVERSIDADE CATLICA DE GOISDEPARTAMENTO DE ENGENHARIACLCULO MOMENTOS, REAES E FLECHAS EM LAJES 2D - TABELAS CZERNY
Pr!"# A$%&r' V($&$) C*)&r
Reviso: Tarlley Jr GB
TABELAS DE CZERNY
CAS &B
!011 !01& !0!1 !0!& !0#1
23 44.1 40.5 37.9 35.5 33.8
2y 55.9 57.5 60.3 64.2 66.2
3 16.2 15.3 14.8 14.2 13.9y 18.3 17.9 17.7 17.6 17.5
43 0.304 0.313 0.321 0.329 0.336
0.250 0.237 0.227 0.217 0.208
0.144 0.137 0.131 0.125 0.120
56 0.019 0.020 0.021 0.023 0.024
Ro78a" A0M0" CNCRET ARMAD"4ol0 I" E90 Noel" !;6a"40C0M0" LAJES EM CNCRET ARMAD E )RTENDID" EDU((" !;;%
ly ? vo 2aior ? !011 2 23
l3 ? vo 2eor ? !011 2 2y
? 7ara 9isri>9a For rea ? !011 HN2# 3
8 ? esFess>ra 9a lae ? 10!1 2 y
ly
? !01111 M3 ? ? 101# HN02l3 23
10$1 HN2
! coef. paa momentos e ea"$es
# coef. paa %ec&a m'xima
4y!
4y#
5oe!:
5oe#:
0l3#
?
R3 ? 4300l3 ?
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!0#& !0$1 !0$& !0%1 !0%& !0&1
32.3 31.0 29.9 29.0 28.2 27.6
67.7 69.0 70.5 72.0 73.4 75.2
13.5 13.2 12.9 12.7 12.6 12.517.5 17.5 17.5 17.5 17.5 17.5
0.343 0.349 0.354 0.359 0.364 0.369
0.200 0.192 0.185 0.179 0.173 0.166
0.114 0.110 0.107 0.103 0.099 0.096
0.025 0.025 0.026 0.027 0.027 0.028
= 44.100 43 = 0.304 56 = 0.019
= 55.900 = 0.250 E ? 2K9>lo 9e elas0 ? #!#
7/24/2019 Tabelas Czerny - Tarlley Jr Gb Rev_03
32/37
INTER)
!0&& !0'1 !0a9oe2 valores e#"11" Q e7es
2a>al2ee7ol>as laerivalores aelos 9e la2i97al7>la9a a i7ol>a 9o 2ei
0l3#
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R3
R3
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Ry#
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7/24/2019 Tabelas Czerny - Tarlley Jr Gb Rev_03
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LA*!0111 !011144.100 44.100
55.900 55.900
16.200 16.20018.300 18.300
0.304 0.304
0.250 0.250
0.144 0.144
0.019 0.019
o la2i9a Olyl3P res>larre !"'1+!" !"
7/24/2019 Tabelas Czerny - Tarlley Jr Gb Rev_03
34/37
UNIVERSIDADE CATLICA DE GOISDEPARTAMENTO DE ENGENHARIACLCULO MOMENTOS, REAES E FLECHAS EM LAJES 2D - TABELAS CZERNY
Pr!"# A$%&r' V($&$) C*)&r
Reviso: Tarlley Jr GB
TABELAS DE CZERNY
CAS '
!011 !01& !0!1 !0!& !0#1
23 56.8 50.6 46.1 42.4 39.4
2y 56.8 58.2 60.3 62.6 65.8
3 19.4 18.2 17.1 16.3 15.5y 19.4 18.8 18.4 18.1 17.9
43 0.250 0.262 0.273 0.283 0.292
4y 0.250 0.238 0.227 0.217 0.208
56 0.015 0.017 0.018 0.020 0.021
Ro78a" A0M0" CNCRET ARMAD"4ol0 I" E90 Noel" !;6a"40C0M0" LAJES EM CNCRET ARMAD E )RTENDID" EDU((" !;;%
ly ? vo 2aior ? !011 2 23
l3 ? vo 2eor ? !011 2 2y
? 7ara 9isri>9a For rea ? !011 HN2# 38 ? esFess>ra 9a lae ? 10!1 2 y
ly
? !01111 M3 ? ? 101# HN02l3 23
10#& HN2
! coef. paa momentos e ea"$es
# coef. paa %ec&a m'xima
5oe!:
5oe#:
0l3#
?
R3 ? 4300l3 ?
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35/37
!0#& !0$1 !0$& !0%1 !0%& !0&1
37.0 34.8 33.3 31.9 30.6 29.6
69.4 73.6 78.4 83.4 89.4 93.5
14.9 14.5 14.0 13.7 13.4 13.217.7 17.6 17.5 17.5 17.5 17.5
0.300 0.308 0.315 0.321 0.327 0.333
0.200 0.192 0.185 0.179 0.173 0.167
0.022 0.023 0.024 0.025 0.026 0.026
= 56.800 43 = 0.250 M ?@= 56.800 4y = 0.250 / ?@
= 19.400 56 = 0.015 R ?@= 19.400 E ? 2K9>lo 9e elas0 ? #!#
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INTER)
!0&& !0'1 !0a9oe2 valores e#"11" Q e7es2a>al2ee7ol>as laeri
valores aelos 9e la2i97al7>la9a a i7ol>a 9o 2ei
0l3#
Ry
R3
R3
My
l3
ly
/y
/3
/3
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LA*!0111 !011156.800 56.800
56.800 56.800
19.400 19.40019.400 19.400
0.250 0.250
0.250 0.250
0.015 0.015
o la2i9a Olyl3P res>larre !"'1+!" !"