simple supported beam envelopes
DESCRIPTION
Spreadsheet to calculate envelopes of simple supported beams.TRANSCRIPT
Span Length (L) 80Divisions in span (n) 10
Step length (L/n) 8
Dead Load
DC1 DC2 DW1.033 0.117 0.44
L M V0 0 0.00 0.00 0.00 41.32 4.68 17.601 8 297.50 33.70 126.72 33.06 3.74 14.082 16 528.90 59.90 225.28 24.79 2.81 10.563 24 694.18 78.62 295.68 16.53 1.87 7.044 32 793.34 89.86 337.92 8.26 0.94 3.525 40 826.40 93.60 352.00 0.00 0.00 0.006 48 793.34 89.86 337.92 -8.26 -0.94 -3.527 56 694.18 78.62 295.68 -16.53 -1.87 -7.048 64 528.90 59.90 225.28 -24.79 -2.81 -10.569 72 297.50 33.70 126.72 -33.06 -3.74 -14.08
10 80 0.00 0.00 0.00 -41.32 -4.68 -17.60
Lane Load
Load 0.64L M V+ V-
0 0 0.00 25.60 0.001 8 184.32 20.74 -0.262 16 327.68 16.38 -1.023 24 430.08 12.54 -2.304 32 491.52 9.22 -4.105 40 512.00 6.40 -6.406 48 491.52 4.10 -9.227 56 430.08 2.30 -12.548 64 327.68 1.02 -16.389 72 184.32 0.26 -20.74
10 80 0.00 0.00 -25.60
Tandem
P 25L M1 M2 Max V+ V-
0 0 0.00 0.00 0.00 48.75 0.001 8 270.00 350.00 350.00 43.75 -3.752 16 560.00 620.00 620.00 38.75 -8.753 24 770.00 810.00 810.00 33.75 -13.75
4 32 900.00 920.00 920.00 28.75 -18.755 40 950.00 950.00 950.00 23.75 -23.756 48 920.00 900.00 920.00 18.75 -28.757 56 810.00 770.00 810.00 13.75 -33.758 64 620.00 560.00 620.00 8.75 -38.759 72 350.00 270.00 350.00 3.75 -43.75
10 80 0.00 0.00 0.00 0.00 -48.75
Truck
P1 32 P2 32 P3 8L M1 M2 M3 M4 Mmax V1 V2
0 0 0.00 0.00 0.00 0.00 0.00 63.60 0.001 8 276.80 451.20 416.00 230.40 451.20 56.40 -0.802 16 540.80 787.20 742.40 460.80 787.20 49.20 -2.403 24 862.40 1008.00 996.80 761.60 1008.00 42.00 -6.404 32 1068.80 1113.60 1136.00 979.20 1136.00 34.80 -12.005 40 1160.00 1104.00 1160.00 1104.00 1160.00 27.60 -19.206 48 1136.00 979.20 1068.80 1113.60 1136.00 20.40 -26.407 56 996.80 739.20 862.40 1008.00 1008.00 13.60 -33.608 64 742.40 384.00 540.80 787.20 787.20 7.20 -40.809 72 416.00 230.40 276.80 451.20 451.20 3.20 -48.00
10 80 0.00 0.00 0.00 0.00 0.00 0.00 -55.20
Vehicle Load
L M V+ V-0 0 0.00 63.60 0.001 8 451.20 56.40 -3.752 16 787.20 49.20 -8.753 24 1008.00 42.00 -13.754 32 1136.00 34.80 -20.405 40 1160.00 27.60 -27.606 48 1136.00 20.40 -34.807 56 1008.00 13.75 -42.008 64 787.20 8.75 -49.209 72 451.20 3.75 -56.40
10 80 0.00 0.00 -63.60
MH93
Undistributed DistributedIM 1.33 Mfac 0.6 Vfac 0.81
MH93 VH93+ VH93- MH93 VH93+ VH93-0 0.00 110.19 0.00 0 0.00 89.25 0.001 784.42 95.75 -5.24 1 470.65 77.56 -4.25
0 10 20 30 40 50 60 70 800.00
200.00
400.00
600.00
800.00
1000.00
1200.00
1400.00
Position (ft)
Mom
ent (
kip.
ft)
2 1374.66 81.82 -12.66 2 824.79 66.27 -10.263 1770.72 68.40 -20.59 3 1062.43 55.41 -16.684 2002.40 55.50 -31.23 4 1201.44 44.96 -25.295 2054.80 43.11 -43.11 5 1232.88 34.92 -34.926 2002.40 31.23 -55.50 6 1201.44 25.29 -44.967 1770.72 20.59 -68.40 7 1062.43 16.68 -55.418 1374.66 12.66 -81.82 8 824.79 10.26 -66.279 784.42 5.24 -95.75 9 470.65 4.25 -77.56
10 0.00 0.00 -110.19 10 0.00 0.00 -89.25
Results Factored
Strength 1 Coef. 1 1.25 Coef. 2 1.5 Coef. 3 1.75M V+ V- Eta 1.05
0 0 0.00 252.10 88.101 8 1499.10 212.98 62.672 16 2643.17 174.64 34.013 24 3432.21 137.05 4.594 32 3899.07 100.22 -28.865 40 4027.32 64.16 -64.166 48 3899.07 28.86 -100.227 56 3432.21 -4.59 -137.058 64 2643.17 -34.01 -174.649 72 1499.10 -62.67 -212.98
10 80 0.00 -88.10 -252.10
Service II Coef. 1 1 Coef. 2 1 Coef. 3 1.3M V+ V- Eta 1
0 0 0.00 179.63 63.601 8 1069.76 151.70 45.362 16 1886.31 124.32 24.833 24 2449.64 97.47 3.764 32 2782.99 71.16 -20.165 40 2874.74 45.39 -45.396 48 2782.99 20.16 -71.167 56 2449.64 -3.76 -97.478 64 1886.31 -24.83 -124.329 72 1069.76 -45.36 -151.70
10 80 0.00 -63.60 -179.63
Fatigue Coef. 1 0 Coef. 2 0 Coef. 3 0.75M V+ V- Eta 1
0 0 0.00 42.21 0.001 8 189.86 36.59 -1.95
0 10 20 30 40 50 60 70 800.00
500.00
1000.00
1500.00
2000.00
2500.00
3000.00
3500.00
4000.00
4500.00
Position (ft)
Mom
ent (
kip.
ft)
0 10 20 30 40 50 60 70 800.00
500.00
1000.00
1500.00
2000.00
2500.00
3000.00
3500.00
Position (ft)
Mom
ent (
kip.
ft)
0 10 20 30 40 50 60 70 800.00
100.00
200.00
300.00
400.00
500.00
600.00
Position (ft)
Mom
ent (
kip.
ft)
2 16 332.90 31.19 -4.743 24 429.11 26.01 -7.744 32 485.44 21.05 -11.785 40 498.42 16.30 -16.306 48 485.44 11.78 -21.057 56 429.11 7.74 -26.018 64 332.90 4.74 -31.199 72 189.86 1.95 -36.59
10 80 0.00 0.00 -42.210 10 20 30 40 50 60 70 80
0.00
100.00
200.00
300.00
400.00
500.00
600.00
Position (ft)
Mom
ent (
kip.
ft)
Dead Load
Lane Load
Tandem
0 10 20 30 40 50 60 70 800.00
100.00
200.00
300.00
400.00
500.00
600.00
700.00
800.00
900.00
DC1 DC2 DW
Position (ft)
Mom
ent (
kip.
ft)
0 10 20 30 40 50 60 70 80-50.00
-40.00
-30.00
-20.00
-10.00
0.00
10.00
20.00
30.00
40.00
50.00
DC1 DC2 DW
Position (ft)
Shea
r (ki
p)
Truck
V3 V4 V+Max V-min55.20 0.00 63.60 0.0048.00 -3.20 56.40 -3.2040.80 -7.20 49.20 -7.2033.60 -13.60 42.00 -13.6026.40 -20.40 34.80 -20.4019.20 -27.60 27.60 -27.6012.00 -34.80 20.40 -34.806.40 -42.00 13.60 -42.002.40 -49.20 7.20 -49.200.80 -56.40 3.20 -56.400.00 -63.60 0.00 -63.60
Vehicle Load
MH93
Undistributed - Fatigue DistributedIM 1.15 Mfac 0.36 Vfac 0.57
MH93 VH93+ VH93- MH93 VH93+ VH93-0 0.00 98.74 0.00 0 0.00 56.28 0.001 703.20 85.60 -4.57 1 253.15 48.79 -2.60
0 10 20 30 40 50 60 70 800.00
200.00
400.00
600.00
800.00
1000.00
1200.00
1400.00
Lane Load Tandem Truck
Position (ft)
Mom
ent (
kip.
ft)
0 10 20 30 40 50 60 70 800.00
200.00
400.00
600.00
800.00
1000.00
1200.00
1400.00
Position (ft)
Mom
ent (
kip.
ft)
0 10 20 30 40 50 60 70 80
-80.00
-60.00
-40.00
-20.00
0.00
20.00
40.00
60.00
80.00
Position (ft)
Shea
r (ki
p)
2 1232.96 72.96 -11.09 2 443.87 41.59 -6.323 1589.28 60.84 -18.12 3 572.14 34.68 -10.334 1797.92 49.24 -27.56 4 647.25 28.06 -15.715 1846.00 38.14 -38.14 5 664.56 21.74 -21.746 1797.92 27.56 -49.24 6 647.25 15.71 -28.067 1589.28 18.12 -60.84 7 572.14 10.33 -34.688 1232.96 11.09 -72.96 8 443.87 6.32 -41.599 703.20 4.57 -85.60 9 253.15 2.60 -48.79
10 0.00 0.00 -98.74 10 0.00 0.00 -56.28
Results Factored
0 10 20 30 40 50 60 70 800.00
500.00
1000.00
1500.00
2000.00
2500.00
3000.00
3500.00
4000.00
4500.00
Position (ft)
Mom
ent (
kip.
ft)
0 10 20 30 40 50 60 70 80-300.00
-200.00
-100.00
0.00
100.00
200.00
300.00
+ Shear
- Shear
Position (ft)
Shea
r (ki
p)
0 10 20 30 40 50 60 70 800.00
500.00
1000.00
1500.00
2000.00
2500.00
3000.00
3500.00
Position (ft)
Mom
ent (
kip.
ft)
0 10 20 30 40 50 60 70 80-200.00
-150.00
-100.00
-50.00
0.00
50.00
100.00
150.00
200.00
+ Shear
- Shear
Position (ft)
Shea
r (ki
p)
0 10 20 30 40 50 60 70 800.00
100.00
200.00
300.00
400.00
500.00
600.00
Position (ft)
Mom
ent (
kip.
ft)
0 10 20 30 40 50 60 70 80-50.00
-40.00
-30.00
-20.00
-10.00
0.00
10.00
20.00
30.00
40.00
50.00
+ Shear
- Shear
Position (ft)
Shea
r (ki
p)
0 10 20 30 40 50 60 70 800.00
100.00
200.00
300.00
400.00
500.00
600.00
Position (ft)
Mom
ent (
kip.
ft)
0 10 20 30 40 50 60 70 80-50.00
-40.00
-30.00
-20.00
-10.00
0.00
10.00
20.00
30.00
40.00
50.00
+ Shear
- Shear
Position (ft)
Shea
r (ki
p)
0 10 20 30 40 50 60 70 80-50.00
-40.00
-30.00
-20.00
-10.00
0.00
10.00
20.00
30.00
40.00
50.00
DC1 DC2 DW
Position (ft)
Shea
r (ki
p)
0 10 20 30 40 50 60 70 800.00
200.00
400.00
600.00
800.00
1000.00
1200.00
1400.00
Lane Load Tandem Truck
Position (ft)
Mom
ent (
kip.
ft)
0 10 20 30 40 50 60 70 80 90
-80.00
-60.00
-40.00
-20.00
0.00
20.00
40.00
60.00
80.00
Lane Load Pos Tandem Pos Truck PosLane Load Neg Tandem Neg Truck Neg
Position in ft
Shea
r (ki
p)
0 10 20 30 40 50 60 70 80
-80.00
-60.00
-40.00
-20.00
0.00
20.00
40.00
60.00
80.00
Position (ft)
Shea
r (ki
p)
0 10 20 30 40 50 60 70 800.00
500.00
1000.00
1500.00
2000.00
2500.00
Undistributed Distributed
Position (ft)
Mom
ent (
kip.
ft)
0 10 20 30 40 50 60 70 80-150.00
-100.00
-50.00
0.00
50.00
100.00
150.00
Undistributed Shear Pos Undistributed Shear NegDistributed Shear Pos Distributed Shear Neg
Position (ft)
Shea
r (ki
p)
0 10 20 30 40 50 60 70 80-300.00
-200.00
-100.00
0.00
100.00
200.00
300.00
+ Shear
- Shear
Position (ft)
Shea
r (ki
p)
0 10 20 30 40 50 60 70 80-200.00
-150.00
-100.00
-50.00
0.00
50.00
100.00
150.00
200.00
+ Shear
- Shear
Position (ft)
Shea
r (ki
p)
0 10 20 30 40 50 60 70 80-50.00
-40.00
-30.00
-20.00
-10.00
0.00
10.00
20.00
30.00
40.00
50.00
+ Shear
- Shear
Position (ft)
Shea
r (ki
p)
0 10 20 30 40 50 60 70 800.00
500.00
1000.00
1500.00
2000.00
2500.00
Undistributed Distributed
Position (ft)
Mom
ent (
kip.
ft)
0 10 20 30 40 50 60 70 80-150.00
-100.00
-50.00
0.00
50.00
100.00
150.00
Undistributed Shear Pos Undistributed Shear NegDistributed Shear Pos Distributed Shear Neg
Position (ft)
Shea
r (ki
p)
0 10 20 30 40 50 60 70 80-50.00
-40.00
-30.00
-20.00
-10.00
0.00
10.00
20.00
30.00
40.00
50.00
+ Shear
- Shear
Position (ft)
Shea
r (ki
p)
0 10 20 30 40 50 60 70 80-150.00
-100.00
-50.00
0.00
50.00
100.00
150.00
Undistributed Shear Pos Undistributed Shear NegDistributed Shear Pos Distributed Shear Neg
Position (ft)
Shea
r (ki
p)
0 10 20 30 40 50 60 70 800.00
200.00
400.00
600.00
800.00
1000.00
1200.00
1400.00
1600.00
1800.00
2000.00
Undistributed Distributed
Position (ft)
Mom
ento
(kip
.ft)
0 10 20 30 40 50 60 70 80-150.00
-100.00
-50.00
0.00
50.00
100.00
150.00
Undistributed Shear Pos Undistributed Shear NegDistributed Shear Pos Distributed Shear Neg
Position (ft)
Shea
r (ki
p)
0 10 20 30 40 50 60 70 800.00
200.00
400.00
600.00
800.00
1000.00
1200.00
1400.00
1600.00
1800.00
2000.00
Undistributed Distributed
Position (ft)
Mom
ento
(kip
.ft)
0 10 20 30 40 50 60 70 800.00
200.00
400.00
600.00
800.00
1000.00
1200.00
1400.00
1600.00
1800.00
2000.00
Undistributed Distributed
Position (ft)
Mom
ento
(kip
.ft)
0 10 20 30 40 50 60 70 80-150.00
-100.00
-50.00
0.00
50.00
100.00
150.00
Undistributed Shear Pos Undistributed Shear NegDistributed Shear Pos Distributed Shear Neg
Position (ft)
Shea
r (ki
p)
0 10 20 30 40 50 60 70 800.00
200.00
400.00
600.00
800.00
1000.00
1200.00
1400.00
1600.00
1800.00
2000.00
Undistributed Distributed
Position (ft)
Mom
ento
(kip
.ft)
0 10 20 30 40 50 60 70 80-150.00
-100.00
-50.00
0.00
50.00
100.00
150.00
Undistributed Shear Pos Undistributed Shear NegDistributed Shear Pos Distributed Shear Neg
Position (ft)
Shea
r (ki
p)
0 10 20 30 40 50 60 70 80-150.00
-100.00
-50.00
0.00
50.00
100.00
150.00
Undistributed Shear Pos Undistributed Shear NegDistributed Shear Pos Distributed Shear Neg
Position (ft)
Shea
r (ki
p)
0 10 20 30 40 50 60 70 80-150.00
-100.00
-50.00
0.00
50.00
100.00
150.00
Undistributed Shear Pos Undistributed Shear NegDistributed Shear Pos Distributed Shear Neg
Position (ft)
Shea
r (ki
p)
Strength 1 Coef. 1 1.25 Coef. 2 1.5 Coef. 3 1.75M V+ V- Eta 1.05
0 0 0.00 252.10 88.101 8 1499.10 219.84 55.812 16 2643.17 186.83 21.823 24 3432.21 153.05 -11.414 32 3899.07 118.51 -47.155 40 4027.32 83.21 -83.216 48 3899.07 47.15 -118.517 56 3432.21 11.41 -153.058 64 2643.17 -21.82 -186.839 72 1499.10 -55.81 -219.84
10 80 0.00 -88.10 -252.10
Fatigue Coef. 1 0 Coef. 2 0 Coef. 3 0.75M V+ V- Eta 1
0 0.00 49.99 0.001 231.53 45.67 -4.652 405.95 41.09 -9.763 523.27 36.25 -14.614 591.97 31.15 -20.175 607.80 25.79 -25.796 591.97 20.17 -31.157 523.27 14.61 -36.258 405.95 9.76 -41.099 231.53 4.65 -45.67
10 0.00 0.00 -49.99
DC1 DC2 DW1.033 0.117 0.44
L M V0 0 0.00 0.00 0.00 41.321 8 297.50 33.70 126.72 33.062 16 528.90 59.90 225.28 24.793 24 694.18 78.62 295.68 16.534 32 793.34 89.86 337.92 8.265 40 826.40 93.60 352.00 0.006 48 793.34 89.86 337.92 -8.267 56 694.18 78.62 295.68 -16.538 64 528.90 59.90 225.28 -24.799 72 297.50 33.70 126.72 -33.06
10 80 0.00 0.00 0.00 -41.32
L/10 8 L 80
V V4.68 17.603.74 14.082.81 10.561.87 7.040.94 3.520.00 0.00
-0.94 -3.52-1.87 -7.04-2.81 -10.56-3.74 -14.08-4.68 -17.60
L M V+ V- L/10 8 L 800 0 0.00 25.60 0.00 MD 0.641 8 184.32 25.34 -4.862 16 327.68 24.58 -9.223 24 430.08 23.30 -13.064 32 491.52 21.50 -16.385 40 512.00 19.20 -19.206 48 491.52 16.38 -21.507 56 430.08 13.06 -23.308 64 327.68 9.22 -24.589 72 184.32 4.86 -25.34
10 80 0.00 0.00 -25.60
L M1 M2 Max V+ V-0 0 0.00 0.00 0.00 48.75 0.001 8 270.00 350.00 350.00 43.75 -3.752 16 560.00 620.00 620.00 38.75 -8.753 24 770.00 810.00 810.00 33.75 -13.754 32 900.00 920.00 920.00 28.75 -18.755 40 950.00 950.00 950.00 23.75 -23.756 48 920.00 900.00 920.00 18.75 -28.757 56 810.00 770.00 810.00 13.75 -33.758 64 620.00 560.00 620.00 8.75 -38.759 72 350.00 270.00 350.00 3.75 -43.75
10 80 0.00 0.00 0.00 0.00 -48.75
L/10 8 L 80P 25
L M1 M2 M3 M4 Mmax V1 V20 0 0.00 0.00 0.00 0.00 0.00 63.60 0.001 8 276.80 451.20 416.00 230.40 451.20 56.40 -0.802 16 540.80 787.20 742.40 460.80 787.20 49.20 -2.403 24 862.40 1008.00 996.80 761.60 1008.00 42.00 -6.404 32 1068.80 1113.60 1136.00 979.20 1136.00 34.80 -12.005 40 1160.00 1104.00 1160.00 1104.00 1160.00 27.60 -19.206 48 1136.00 979.20 1068.80 1113.60 1136.00 20.40 -26.407 56 996.80 761.60 862.40 1008.00 1008.00 13.60 -33.608 64 742.40 460.80 540.80 787.20 787.20 7.20 -40.809 72 416.00 230.40 276.80 451.20 451.20 3.20 -48.00
10 80 0.00 0.00 0.00 0.00 0.00 0.00 -55.20
V3 V4 V+Max V-min L/10 8 L 8055.20 0.00 63.60 0.00 P1 3248.00 -3.20 56.40 -3.20 P2 3240.80 -7.20 49.20 -7.20 P3 833.60 -13.60 42.00 -13.6026.40 -20.40 34.80 -20.4019.20 -27.60 27.60 -27.6012.00 -34.80 20.40 -34.80
6.40 -42.00 13.60 -42.002.40 -49.20 7.20 -49.200.80 -56.40 3.20 -56.400.00 -63.60 0.00 -63.60
M V+ V-0 0.00 63.60 0.001 451.20 56.40 -3.752 787.20 49.20 -8.753 1008.00 42.00 -13.754 1136.00 34.80 -20.405 1160.00 27.60 -27.606 1136.00 20.40 -34.807 1008.00 13.75 -42.008 787.20 8.75 -49.209 451.20 3.75 -56.40
10 0.00 0.00 -63.60
Undistributed DistributedIM 1.33 Mfac 0.6 Vfac 0.81
MH93 VH93+ VH93- MH93 VH93+ VH93-0 0.00 110.19 0.00 0 0.00 89.25 0.001 784.42 100.36 -9.85 1 470.65 81.29 -7.982 1374.66 90.01 -20.85 2 824.79 72.91 -16.893 1770.72 79.16 -31.34 3 1062.43 64.12 -25.394 2002.40 67.79 -43.52 4 1201.44 54.91 -35.255 2054.80 55.91 -55.91 5 1232.88 45.29 -45.296 2002.40 43.52 -67.79 6 1201.44 35.25 -54.917 1770.72 31.34 -79.16 7 1062.43 25.39 -64.128 1374.66 20.85 -90.01 8 824.79 16.89 -72.919 784.42 9.85 -100.36 9 470.65 7.98 -81.29
10 0.00 0.00 -110.19 10 0.00 0.00 -89.25
Undistributed - Fatigue DistributedIM 1.15 Mfac 0.439 Vfac 0.675
MH93 VH93+ VH93- MH93 VH93+ VH93-0 0.00 98.74 0.00 0 0.00 66.65 0.001 703.20 90.20 -9.18 1 308.70 60.89 -6.192 1232.96 81.16 -19.28 2 541.27 54.78 -13.013 1589.28 71.60 -28.87 3 697.69 48.33 -19.494 1797.92 61.52 -39.84 4 789.29 41.53 -26.895 1846.00 50.94 -50.94 5 810.39 34.38 -34.386 1797.92 39.84 -61.52 6 789.29 26.89 -41.537 1589.28 28.87 -71.60 7 697.69 19.49 -48.338 1232.96 19.28 -81.16 8 541.27 13.01 -54.789 703.20 9.18 -90.20 9 308.70 6.19 -60.89
10 0.00 0.00 -98.74 10 0.00 0.00 -66.65
0 10 20 30 40 50 60 70 80 900.00
500.00
1000.00
1500.00
2000.00
2500.00
3000.00
3500.00
4000.00
4500.00
Moment
0 10 20 30 40 50 60 70 80 90
-300.00
-200.00
-100.00
0.00
100.00
200.00
300.00
Shear
Shear+
Shear-
0 10 20 30 40 50 60 70 80 900.00
100.00
200.00
300.00
400.00
500.00
600.00
700.00
Moment - Fatigue
0 10 20 30 40 50 60 70 80 90
-60.00
-40.00
-20.00
0.00
20.00
40.00
60.00
Shear - Fatigue
Shear +
Shear -