PSI - Issue 60

Anupoju Rajeev et al. / Procedia Structural Integrity 60 (2024) 222–232 Author name / Structural Integrity Procedia 00 (2019) 000–000

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(Impulsive, Dynamic, Quasi-static). All possible cases of magnitude and duration of loading are considered in this study and the maximum response of the RC column at free end is recorded. The entire results are represented in form of Response spectra which are most used by the designers. Response spectra consist of plots of maximum response vs duration for different magnitudes of load.

b)

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Fig. 3. a) Undeformed specimen model; b) deformed specimen model with displacement contour In the present study Response spectra is generated with � � ��� � �� � (Ratio of maximum deflection to elastic deflection on Y-axis) and � � � � � � (Ratio of duration of load to natural period of system on X-axis) for different values of � � � � � (Ratio of resistance of the section to the load applied). In the present study, the above ratios are changed to capture all realistic load combinations. The value of � � � � � � is ranges from 0.05 (impulsive loading) to 5 (Quasi-static loading) and the value of � � � � � varies from 0.3 (highly vulnerable) to 3 (moderately safe) scenarios. Solving equations for bilinear resistance curve, the response spectra generated is shown in Fig. 4. Table 6. Comparison of numerical deflection with analytical deflection � � � � � � � � ��� �� � Analytical Numerical % Error ���,� ( ) ���,� ( ) 0.60 0.20 2.80 87.36 82.00 6.50 1.20 0.30 1.60 49.92 54.50 8.40 1.00 0.40 2.75 85.80 100.00 14.20 0.82 0.06 0.47 14.66 17.50 16.20 0.66 0.06 0.60 18.92 22.60 17.10 0.60 0.40 7.00 218.40 292.00 25.20 1.00 0.90 6.00 187.20 252.00 25.70 For the load case having � � � � �=0.66 and � � � � � �=0.06 the complete displacement time history plot is compared from numerical and analytical results and are shown in Fig. 5.