Moment and Shear, Generated by DL on the Composite Section

LRFD pre-stressed beam.mcd
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Moment and Shear, Generated by DL on the Composite Section.
This generator is capable of handling from 1 to 10 spans, and is capable of returning values for continuous
sections. This is done by moment distribution. The values returned are SL.
Use a unit load "w" = 1.0
unit DLc:= unit 0.417=
column 0 = span point
column 1 = moment
column 2 = shear
Based on continuous section, constant inertia.
1 1.2 1.4 1.6 1.8
0
500
1000
mc
n8
1
n8
sp
+
disp
0 1 2
0
1
2
3
4
5
6
7

8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37

38
39
1 0 20.875
1.1 187.875 16.7
1.2 334 12.525
1.3 438.375 8.35
1.4 501 4.175
1.5 521.875 0
1.6 501 -4.175
1.7 438.375 -8.35
1.8 334 -12.525
1.9 187.875 -16.7
2 0 -20.875
=
1 1.2 1.4 1.6 1.8
40
20
0
20
40
vc
n8
1
n8
sp
+
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Notes on Live Load:
The HL-93 LL shall be used as described in 3.6.1.2 (LRFD)

The Design Lane: The design lane shall consist of a load of 0.640 k/ft uniformaly distributed in the longitudinal direction.
Transversley the load shall be assumed to be 10 ft wide. DO NOT apply the dynamic load allowance (Impact) to the lane.
The design lane shall accompany the design truck and tandem.
The Design Truck
Design truck axal spacing from rear
The Design Tandem: The design tandem consists of a pair of 25k axles spaced 4ft apart. Apply the dynamic load
allowance to the tandem
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Load Combinations
Combination 1: The effect of the design tandem combined with the effect of the design lane.
Combination 2: The effect of the design truck combined with the effect of the design lane.
Combination 3: For both the negative moment between points of contraflexure under a uniform load on all spans, and
reaction at interior piers only.
90% of two design trucks spaced a minimum of 50 ft between the lead axle of truck 2 and the rear
axle of truck 1.
90% the design Lane
The distance between 32 k axles shall be 14 ft.
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Moment, SL, LLDF = 1.0 wheels, Impact included, input to tenth points
ldm
DC LOADS (non-comp) DW Loads LL + I
LOCATION self wt other (comp) M (+) M (-)
0 0.00 0.00 0.00 0.00 0.00
0.1 369.90 487.80 187.88 1070.00 0.00
0.2 657.60 870.90 334.00 1883.00 0.00
0.3 863.10 1149.29 438.38 2473.00 0.00
0.4 986.40 1311.89 501.00 2763.00 0.00
0.5 1027.50 1364.24 521.88 2846.00 0.00

0.6 986.40 1311.89 501.00 2763.00 0.00
0.7 863.10 1149.29 438.38 2473.00 0.00
0.8 657.60 870.90 334.00 1883.00 0.00
0.9 369.90 487.80 187.88 1070.00 0.00
1 0.00 0.00 0.00 0.00 0.00
Mself Mnonc mca Md( )
:=
the other loads include
slab, diaphragms (if there
are any) and any other
non-composite loads.
Shear Load, SL, LLDF = 1 wheels, Impact included, input to tenth points
ldv
DC LOADS (non-comp) DW Loads LL + I
LOCATION self wt other (comp) V (+) V (-)
0 41.10 54.02 20.88 120.00 0.00
0.1 32.88 43.54 16.70 105.00 -6.00
0.2 24.66 33.07 12.53 90.00 -14.00
0.3 16.44 22.60 8.35 75.00 -23.00
0.4 8.22 10.47 4.18 61.00 -35.00
0.5 0.00 0.00 0.00 48.00 -48.00
0.6 -8.22 -10.47 -4.18 35.00 -61.00
0.7 -16.44 -22.60 -8.35 23.00 -75.00
0.8 -24.66 -33.07 -12.53 13.00 -90.00
0.9 -32.88 -43.54 -16.70 6.00 -105.00
1 -41.10 -54.02 -20.88 0.00 -120.00
Vself Vnonc vca Vd( )
:=
the other loads include
slab, diaphragms (if there

are any) and any other
non-composite loads.
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Expand area for moment and shear iterations, Also LLDF is applied here
Service I loads (moment)
full
SI1
SI2
SI3
SI4
SI5
SI6
SI7























SI1 SI2 SI3 SI4 SI5 SI5 SI7
DC LOADS (non-comp) DW Loads LL + I TOTAL LOADS
LOCATION self wt other (slab) (comp) M (+) M (-) M (+) M (-)
1 0.00 0.00 0.00 0.00 0.00 0.00 0.00
1.05 184.95 243.90 93.94 357.89 0.00 880.68 522.79
1.1 369.90 487.80 187.88 715.78 0.00 1761.35 1045.57
1.15 513.75 679.35 260.94 987.70 0.00 2441.74 1454.04
1.2 657.60 870.90 334.00 1259.63 0.00 3122.13 1862.50
1.25 760.35 1010.09 386.19 1456.97 0.00 3613.61 2156.63
1.3 863.10 1149.29 438.38 1654.31 0.00 4105.08 2450.77
1.35 924.75 1230.59 469.69 1751.31 0.00 4376.34 2625.03
1.4 986.40 1311.89 501.00 1848.31 0.00 4647.60 2799.29
1.45 1006.95 1338.07 511.44 1876.07 0.00 4732.53 2856.45
1.5 1027.50 1364.24 521.88 1903.83 0.00 4817.45 2913.62
1.55 1006.95 1338.07 511.44 1876.07 0.00 4732.53 2856.45
1.6 986.40 1311.89 501.00 1848.31 0.00 4647.60 2799.29
1.65 924.75 1230.59 469.69 1751.31 0.00 4376.34 2625.03
1.7 863.10 1149.29 438.38 1654.31 0.00 4105.08 2450.77
1.75 760.35 1010.09 386.19 1456.97 0.00 3613.61 2156.63
1.8 657.60 870.90 334.00 1259.63 0.00 3122.13 1862.50
1.85 513.75 679.35 260.94 987.70 0.00 2441.74 1454.04
1.9 369.90 487.80 187.88 715.78 0.00 1761.35 1045.57
1.95 184.95 243.90 93.94 357.89 0.00 880.68 522.79
2 0.00 0.00 0.00 0.00 0.00 0.00 0.00

ldm_f
:=
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Service III loads (moment)
SIII1
SIII2
SIII3
SIII4
SIII5
SIII6
SIII7





















SIII1 SIII2 SIII3 SIII4 SIII5 SIII5 SIII7
DC LOADS (non-comp) DW Loads LL + I TOTAL LOADS
LOCATION self wt other (slab) (comp) M (+) M (-) M (+) M (-)
1 0.00 0.00 0.00 0.00 0.00 0.00 0.00
1.05 184.95 243.90 93.94 286.31 0.00 809.10 522.79
1.1 369.90 487.80 187.88 572.62 0.00 1618.20 1045.57
1.15 513.75 679.35 260.94 790.16 0.00 2244.20 1454.04
1.2 657.60 870.90 334.00 1007.71 0.00 2870.20 1862.50
1.25 760.35 1010.09 386.19 1165.58 0.00 3322.21 2156.63
1.3 863.10 1149.29 438.38 1323.45 0.00 3774.22 2450.77
1.35 924.75 1230.59 469.69 1401.05 0.00 4026.08 2625.03
1.4 986.40 1311.89 501.00 1478.65 0.00 4277.94 2799.29
1.45 1006.95 1338.07 511.44 1500.86 0.00 4357.31 2856.45
1.5 1027.50 1364.24 521.88 1523.07 0.00 4436.68 2913.62
1.55 1006.95 1338.07 511.44 1500.86 0.00 4357.31 2856.45
1.6 986.40 1311.89 501.00 1478.65 0.00 4277.94 2799.29
1.65 924.75 1230.59 469.69 1401.05 0.00 4026.08 2625.03
1.7 863.10 1149.29 438.38 1323.45 0.00 3774.22 2450.77
1.75 760.35 1010.09 386.19 1165.58 0.00 3322.21 2156.63
1.8 657.60 870.90 334.00 1007.71 0.00 2870.20 1862.50
1.85 513.75 679.35 260.94 790.16 0.00 2244.20 1454.04
1.9 369.90 487.80 187.88 572.62 0.00 1618.20 1045.57
1.95 184.95 243.90 93.94 286.31 0.00 809.10 522.79
2 0.00 0.00 0.00 0.00 0.00 0.00 0.00
0 0.00 0.00 0.00 0.00 0.00 0.00 0.00
full
:=
LRFD pre-stressed beam.mcd

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Strength I loads (moment)
Maximum 1.25*DW + 1.5*DW + 1.75*(LL + IM)
Minimum 0.9*DC + 0.65*DW + 1.75*(LL + IM)
The loads shown in the DL columns reflect the values from Service I. The appropriate load combination (max or min) is
shown in the total loads columns. The minimum load factors for dead load are used when dead load and future wearing
survace stresses are of opposite sign to that of the live load.
STI1
STI2
STI3
STI4
STI5
STI6
STI7





















STI1 STI2 STI3 STI4 STI5 STI6 STI7
DC LOADS (non-comp) DW Loads LL + I TOTAL LOADS
LOCATION self wt other (slab) (comp) M (+) M (-) M (+) M (-)
1 0.00 0.00 0.00 0.00 0.00 0.00 0.00
1.05 184.95 243.90 93.94 357.89 0.00 1303.27 0.00
1.1 369.90 487.80 187.88 715.78 0.00 2606.55 0.00
1.15 513.75 679.35 260.94 987.70 0.00 3611.26 0.00
1.2 657.60 870.90 334.00 1259.63 0.00 4615.98 0.00
1.25 760.35 1010.09 386.19 1456.97 0.00 5342.04 0.00
1.3 863.10 1149.29 438.38 1654.31 0.00 6068.10 0.00
1.35 924.75 1230.59 469.69 1751.31 0.00 6463.50 0.00
1.4 986.40 1311.89 501.00 1848.31 0.00 6858.91 0.00
1.45 1006.95 1338.07 511.44 1876.07 0.00 6981.55 0.00
1.5 1027.50 1364.24 521.88 1903.83 0.00 7104.20 0.00
1.55 1006.95 1338.07 511.44 1876.07 0.00 6981.55 0.00
1.6 986.40 1311.89 501.00 1848.31 0.00 6858.91 0.00
1.65 924.75 1230.59 469.69 1751.31 0.00 6463.50 0.00
1.7 863.10 1149.29 438.38 1654.31 0.00 6068.10 0.00
1.75 760.35 1010.09 386.19 1456.97 0.00 5342.04 0.00
1.8 657.60 870.90 334.00 1259.63 0.00 4615.98 0.00
1.85 513.75 679.35 260.94 987.70 0.00 3611.26 0.00
1.9 369.90 487.80 187.88 715.78 0.00 2606.55 0.00
1.95 184.95 243.90 93.94 357.89 0.00 1303.27 0.00
2 0.00 0.00 0.00 0.00 0.00 0.00 0.00
0 0.00 0.00 0.00 0.00 0.00 0.00 0.00
full

:=