beam rotations yielded comparable results makes both methods acceptable. Therefore,
determining the curvature of the beams using the displacement profiles was also validated
based on the rotation results. If rotation results were valid then curvature results were also
valid because the same basic equations were used to determine both.
160
140
120
S100
80
60 3
T2-Tilt 40
-- T2-Displ.
20
-1.5 -1.2 -0.9 -0.6 -0.3 0.0
Rotation (degrees)
Figure 4-20. Measured rotations at increasing loads (control beam)
160
140
120 ,
100
80
60 -g
60
-A-T2-Tilt I 40
-B- T2-Displ. 20
0
-1.5 -1.2 -0.9 -0.6 -0.3 0.0
Rotation (Degrees)
Figure 4-21. Measured rotations at increasing loads (tube beam)
Moment-Curvature Analysis
The LVDT measurements, at different locations along the length of the beams,
were used to construct the displacement profile curves (see Fig. 4-22) at increasing loads.
The displacement profile equation was generated by fitting a sixth order polynomial line