My assignment was to construct a design response spectrum using Newmark and Hall method for 5% damping for a given peak acceleration 0.25g.The question stated that the peak velocity of 122 cm/sec,peak displacement of 91 cm are consistent with a peak acceleration of 1g. Related to that I had to plot the design response spectrum for 0.25 g.Can you explain,what is meant by consistent?we have been given a formula to to find out peak velocity and displacement in relation to the consistency with 1g but what is it actually?
I solved the tripartite graph from the formula given and I plotted the pseudovelocity design spectrum from which at different time instance where after amplification and at time instance 1/33,1/8,10 and 33 sec ,I was able to plot acceleration vs time graph by equation as (A=xTy where,A=acceleration,T=time,x and y comes from solving two equation as example when T=0.02,A=1g,T=0.5,A=5g,from which x and y values were determined).I wonder why are we using this empirical formula.
The Spectrum obtained by Newmark and Hall method was then compared with IS 1893 -2000 fig .2 (for hard rock) and was compared.When we plotted the above mentioned acceleration ie 0.25g we didnot know the site condition so maybe ,the plot was different to IS 1893-2002? Noted that the IS 1893 -2000 was for 1g ,we scaled it to 0.25g and was compared.(Please refer to Clause.6.4.2 from IS 1893-2002 and the excel sheet attached herewith )
During this whole process,I don't know why we used a consistent acceleration(as mentioned above) to get a plot for 0.25g? and when we compared it with IS 1893-2000 .Does this means that the consistent acceleration we compared were the available data from previous earthquakes?or is it just empirical assumption?
I would be very glad to have insights on the doubt I am actually having.Thankyou
tutorial31893&newmarkcomparison.xlsx