|
Bending Moments and Shear Force Envelopes
This program will compute the envelope of bending moment and shear force ofa beam segment subjected to various load conditions, as shown is the illustration below:
Program Notes
The maximum number of output points for this program has been set to 25. To modify this, change DIM statements as follows:
DIM X(N): DIM V(N,2N): DIM M(N,2)
DIM S(N): DIM B(N)
where N is the maximum desired.
Example
Given the beams below, compute the envelopes of bending moments and shear forces along the left spans for load multipliers of 1.0 in the first case and 1.25 in the second:
Downloads:
tBasic program - liberty basic - lbbmsfe.bas
Test Case:
BENDING MOMENT AND SHEAR FORCE ENVELOPES
**PROBLEM SPECIFICATION**
SPAN LENGTH = 10
NUMBER OF LOAD CASES = 2
**OUTPUT DEFINITION**
NUMBER OF SUBINTERVALS= 10
NUMBER OF ADDITIONAL
OUTPUT POINTS = 1
ENTER ADD.POINTS POSITION
POINT NO. 1
X = 3.5
**LOAD CASES SPECIFICATION**
****************1
> LOAD CASE 1
MULTIPLIER = 1
END MOMENTS
MA = 0
MB = 57.4054
DISTRIBUTED LOAD
WA = 2
WB = 2
NUMBER OF POINT LOADS = 1
LOAD 1
MAGNITUDE = 15
DISTANCE = 3.5
****************2
> LOAD CASE 2
MULTIPLIER = 1.25
END MOMENTS
MA = 0
MB = 43.3036
DISTRIBUTED LOAD
WA = 1
WB = 1
NUMBER OF POINT LOADS = 0
****************3
BENDING MOMENT ENVELOPE
***********************
POINT 1 AT X = 0
MAX M = 0
MIN M = 0
POINT 2 AT X = 1
MAX M = 13.00946
MIN M = 0
POINT 3 AT X = 2
MAX M = 24.01892
MIN M = -0.8259
POINT 4 AT X = 3
MAX M = 33.02838
MIN M = -3.11385
POINT 5 AT X = 3.5
MAX M = 36.78311
MIN M = -4.726575
POINT 6 AT X = 4
MAX M = 32.53784
MIN M = -6.6518
POINT 7 AT X = 5
MAX M = 22.5473
MIN M = -11.43975
POINT 8 AT X = 6
MAX M = 10.55676
MIN M = -17.4777
POINT 9 AT X = 7
MAX M = 0
MIN M = -24.76565
POINT 10 AT X = 8
MAX M = 0
MIN M = -33.3036
POINT 11 AT X = 9
MAX M = 0
MIN M = -43.09155
POINT 12 AT X = 10
MAX M = 0
MIN M = -57.4054
IS IT OK TO CONTINUE (Y/N) ?Y
SHEAR FORCE ENVELOPE
********************
POINT 1 AT X = 0
MAX V = 14.00946
MIN V : 0
POINT 2 AT X = 1
MAX V = 12.00946
MIN V : -0.41295
POINT 3 AT X = 2
MAX V = 10.00946
MIN V : -1.66295
POINT 4 AT X = 3
MAX V = 8.00946
MIN V : -2.91295
POINT 5 AT X = 3.5
MAX V = 0
MIN V : -7.99054
POINT 6 AT X = 4
MAX V = 0
MIN V : -8.99054
POINT 7 AT X = 5
MAX V = 0
MIN V : -10.99054
POINT 8 AT X = 6
MAX V = 0
MIN V : -12.99054
POINT 9 AT X = 7
MAX V = 0
MIN V : -14.99054
POINT 10 AT X = 8
MAX V = 0
MIN V : -16.99054
POINT 11 AT X = 9
MAX V = 0
MIN V : -18.99054
POINT 12 AT X = 10
MAX V = 0
MIN V : -20.99054
|
