sesmic assignment
TRANSCRIPT
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SUBMITTED BY
E.RAMA SAI (203213001)
P PAVAN KUMAR REDDY
(203213010)M BHANU PRAKASH REDDY
(203213018)
Assignment on
RESPONSE
SPECTRA(ASSIGNMENT-1)
SEISMIC DESIGN OF STRUCTURES
Parkfield California June 27, 1966 Earthquake
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Introduction:- Despite being a fairly strong earthquake, the 1966 Parkfield quake caused very little
damage, even near the epicenter. his is mostly due to the epicentral region being sparsely
inhabited.
TYPE OF FAULTING:right!lateral strike!slip
TIME:"une #$, 1966 % 9 pm PD
LOCATION:'() (6* +, 1#) '1* - 1 km 6 miles/ +- of the the to0n of Parkfield
MAGNITUDE:26.
FAULT RUPTURED:3an Andreas fault
DEPTH: 4.6 km
LENGTH OF RUPTURE:about #$ km 1$ miles/
MAXIMUM SURFACE OFFSET:about 1 cm 5 inches/
1
http://www.data.scec.org/graphics/animations/right-lateral-animation.gifhttp://www.data.scec.org/graphics/animations/right-lateral-animation.gifhttp://www.data.scec.org/significant/sanandreas.htmlhttp://www.data.scec.org/significant/sanandreas.htmlhttp://www.data.scec.org/graphics/animations/right-lateral-animation.gif -
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STEP 1:- PLOTTING THE TIME VS RESPONSE (ACCELERATION ,
VELOCITY , DISPLACEMENT) PLOTS
he data earthquake of the above in terms of time in sec and its corresponding ground
acceleration are collected and they are tabulated belo0.
GROUND MOTION DATA:-`
TIME
(sec)
ACCELERATION
(g)
VELOCITY
(mm/sec)
DISPLACEMENT
(mm)
. !5.$'1 . .
.# !(.$9( !1'#.#454# !1.'##4(
.5 !'.$94 !19$'.$'' !5.'$65.6 !6.9'1 !'#(.#6''6 !9.'(9$5
.4 !4.(5$ !5(5'.194# !166.55#4
.1 !'.9#9 !($66.$1#15 !#69.15''1
.1# !#.949 !655(.165 !'91.#6#'
.15 !'.141 !$(.#(#' !(#6.#1616
.16 (.59 !646$.($(5 !66(.'49#6
.14 6.(9 !($#(.6#41 !$91.'165
.# !#.14# !(#9'.'#4#( !91.((('
.## !6.9'( !614$.5'#55 !116.'1'15
.#5 !9.'$5 !$$46.4(6$ !11(6.(6#
.#6 !4.99 !9($9.46944 !1'#9.$#'#4
.#4 !(.$6' !1114.$(#9# !1('(.$9(1
.' !(.$$# !1#159.99'$ !1$6$.'969(
.'# .4' !1#6'5.6(#'1 !#1(.#5''$
.'5 1.(4( !11(1(.14'#6 !##(6.$51$'
.'6 9.1'( !9(41.#5#46 !#56$.$(99
.'4 !1.#$ !44'.$5'9 !#6(1.(((46
.5 !5.(#1 !9'6(.54446 !#4''.#5414
.5# !'.495 !119.$5$91 !'#4.41((
.55 !9.56 !11(.'$569 !'#5(.$#1$4
.56 !11.6# !1'(1#.96$#' !'59(.4((#.54 !$.$'# !1('(6.9541 !'$45.(5(4#
.( !6.(4# !16$(9.464$9 !51(.$(5(
.(# !1.196 !1$(##.6($#( !5554.('$1
.(5 4.5'5 !1641#.4#6(9 !5$91.44(((
.(6 1#.4$9 !15$##.6664 !(1$.#55'
.(4 1$.419 !11$1#.1$4# !('$1.(4411
.6 14.(4' !415#.16'64 !(($.1'4#
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.6# 1.#51 !('1(.'95 !($5.$65
.65 .1( !5#96.'546' !(4.4#'4'
.66 !4.4' !(155.954'5 !(49(.#'64
.64 !1.'(5 !$#'.6$('' !616.9#''
.$ !.##' !46.961$# !616$.$695
.$# $.1(# !$'41.5'569 !6'##.19''$.$5 5.((# !6#''.6#'51 !65(4.'5'9(
.$6 9.'$5 !546$.9(9 !6(69.'(919
.$4 11.9$5 !#$$5.'##' !665(.$41##
.4 #.$(4 !1'#9.('599 !6646.419(9
.4# !$.69' !141'.(155 !6$14.#(5
.45 !9.41$ !'('.$1615 !6$$1.69#'1
.46 1.16 !5'$9.$41' !64(.$96((
.44 1'.$6 !#9#1.$99(1 !69#'.4116'
.9 #1.#'1 (5.5$#4 !695$.9459
.9# #1.#$$ 56$'.#'165 !6496.#$4$
.95 1#.#56 $96.4'##( !6$69.46$#'.96 $.(55 991.6'$(( !6(91.#5#('
.94 $.469 1151'.1956 !6'$4.95#(
1. 4.15# 1#94'.'49#' !61'5.1#45(
1.# 6.'59 1555.(#16 !(46.#59'5
1.5 '.955 1(51'.9(611 !((6#.65($
1.6 1.$ 1(96$.56'19 !(#54.#('$
1.4 !11.9$( 159(9.$9'95 !59'4.9$$4
1.1 !#6.44# 11159.4$9( !56$$.44494
1.1# !#.'1' 6(#.6$5' !5(1.191'6
1.15 .5$ 5($5.6$1#9 !5'9.#'$91
1.16 9.4' ((11.('5 !5#49.'$(4(
1.14 1.45# $56(.($4$( !51(9.65$'
1.# 1$.111 1#6.9#956 !'94#.4$965
1.## 1'.5(9 1'#5.9#9'6 !'$54.$616
1.#5 .$# 15(9(.56'49 !'5$.$($1#
1.#6 !'.#61 15'56.#64# !'141.''94
1.#4 5.46 155#$.1$($$ !#49'.6('$
1.' 9.$#1 1($41.##4#6 !#(91.(#1''
1.'# .9#4 164#(.($(69 !##6(.5('#9
1.'5 !15.(45 1(546.''1$$ !195#.''5#1
1.'6 !1.499 1#94$.#1'96 !16($.(94$(1.'4 1.5( 1##.4'#14 !15$.(14#9
1.5 5.4( 1#(94.9(54' !1161.'#5#
1.5# !.(#' 1'#'.''$# !9(.9$45
1.55 !11.$' 114#5.#999 !6(6.6#14
1.56 !1$.(51 49(6.'54# !554.41('9
1.54 !19.664 ('$.#(519 !'6.1$955
1.( !#'.9'9 1'.$1($ !#5#.$99$5
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1.(# !#6.599 !'91(.$'496 !#$1.65994
1.(5 !19.516 !4514.6#'1 !'95.99'6
1.(6 !9.5' !11#9.(9$15 !(91.#$(4
1.(4 !$.'$4 !1#4#.561 !4'1.($14#
1.6 !#.55 !1'$55.#1( !19$.#1#6
1.6# (.1$5 !1'5'$.61( !1'69.##441.65 !.6'1 !1#991.(#95 !16''.'4$4
1.66 !$.1' !1'$51.1$61# !19.6'(4'
1.64 !6.1'( !1('.654 !#144.'('(9
1.$ !$.915 !1654.'4(91 !#(#.$5'56
1.$# !(.44' !1$$61.5($$ !#455.55149
1.$5 5.9#6 !1$4((.'169 !'#.69(4
1.$6 4.#5( !16(6'.6'$# !'(55.$9499
1.$4 9.(5# !15419.#(96' !'4(4.6#$9
1.4 1'.195 !1#(49.(511 !51'#.$1(49
1.4# 9.646 !1'5(.694(1 !5'6#.64#4
1.45 5.(( !4994.11465 !5(((.(65(1.46 #.(6$ !4'54.6991 !5$#4.9$56'
1.44 1.#51 !$9$(.#54(5 !549#.#151
1.9 !#.'#$ !441.$(#(6 !((#.$451#
1.9# !9.694 !9#61.55'1 !(##6.#1#4
1.95 !16.94 !11$9.4(4' !(5'6.$'111
1.96 !9.969 !15'5$.#54$# !(694.11#14
1.94 5.1'# !15919.64''1 !(99.$41(
#. 16.$$1 !1#469.$#61 !6#64.6$((9
#.# #$.564 !4('1.#$'$ !654#.6459#
#.5 '.$4# !#414.6#94$ !6(96.14''
#.6 #4.'49 #945.#$1 !6(95.(#649
#.4 #9.444 4699.59(59 !65$$.649#5
#.1 #'.95# 1'9$4.6'(9 !6#(.94#(
#.1# !'.$5$ 1(9(9.1#$#5 !(9(1.('95
#.15 !14.961 1'$'#.1('64 !(6(5.6141'
#.16 .$9 119(.1#'$1 !('9$.$9('6
#.14 19.$9( 1'964.49566 !(1'4.6(1$
#.# #5.#61 14#49.566(4 !5416.#1(6
#.## #9.69( #'(4.9'1( !5'9$.'1$(4
#.#5 '9.$69 ''9'.#6(94 !'4($.($(6
#.#6 '6.166 '$45.#115' !'1$(.#54'#.#4 1(.'99 5#49$.1994 !#'6$.46641
#.' !(.61 5'4($.194#1 !1(.'##91
#.'# !1'.$'5 5196.1'#1' !65#.15961
#.'5 !#(.1$ '41(.99(#6 1(4.96166
#.'6 !51.1( '1666.51$# 4($.1'($#
#.'4 !(#.965 ##559.4919 1'94.#94$'
#.5 !(5.6$$ 1149'.('$'# 1$51.$''1
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#.5# !51.461 #5#6.((66 1445.9#495
#.55 !#(.' !51'1.#964# 146$.4$6('
#.56 !1#.66 !$$66.6('6( 1$54.49$#
#.54 6.# !4'61.'(1' 1(4$.61694
#.( #5.4( !(''(.69559 15(.656(5
#.(# #9.5( !15.9665 1'9$.15('#.(5 14.5($ 56$4.919$ 155'.$466
#.(6 (.5'$ $##.#5#4 1(6.$919
#.(4 !1#.#'# 6'((.4146' 1695.($#1#
#.6 !'4.$5' 1'(6.$'4 1$$1.69$'1
#.6# !('.9$5 !$$'6.((41 1$$.9'$6
#.65 !5$.$4$ !1$$1(.$($4 15('.'4(6'
#.66 !#6.561 !#599$.#(455 1#6.#((54
#.64 #.((( !#$'51.$1946 (#.46(69
#.$ #$.49# !#5'((.$4#($ !15.19''
#.$# 51.456 !1$(16.($691 !5'#.4'#9'
#.$5 5.((' !95'(.$694 !$#.'(($6#.$6 #'.959 !'19.99(45 !4#$.41#$9
#.$4 9.#4 154.$$#19 !4($.5#('
#.4 (.'91 1(4$.(($16 !45.61$5
#.4# !1.94( 19#1.(4'(4 !45.9$''
#.45 !##.#$5 !5($.596(( !$9.'#956
#.46 !(6.'$# !41$.'9$$ !4$6.6$(#
#.44 !9.969 !##6#.5165 !1145.(115
#.9 !1$.9$' !5#1'.#4'(4 !14'#.15#9
#.9# !19.1(6 !6'5#5.1#561 !#44$.((4'$
#.95 !9(.14 !4'55$.564$9 !5'(6.#$5'
#.96 !64.#9 !995((.1564 !614(.'5
#.94 !#9.111 !14999.'1'4 !4#69.45595
'. 1$.#'5 !11165.95$ !1561.5$49$
'.# (1.''6 !1'5'9.5'($ !1#(9$.(1514
'.5 5#.191 !95#6$.#'$64 !15($5.(446
'.6 !#.'41 !9'6'.$94 !165#.44'9(
'.4 !(6.6#9 !961(.14164 !14#46.1654
'.1 !$1.5(5 !14$11.#4159 !#''5.6'111
'.1# !##.'96 !11$91(.1(99 !##6.49(5'
'.15 '4.1(# !116'69.96$ !#595'.$56(5
'.16 9'.$' !1'5'6.#9#'' !#$151.49$'.14 11.('1 !4'55.5166 !#91.#161(
'.# 4.4( !656'(.641'9 !'59.61$1'
'.## '.9'6 !('6$#.4#4'$ !'16$'.$###
'.#5 !16.'(6 !(##5#.96$$$ !'#$'#.4619
'.#6 !'5. !($141.'469 !''4#$.1'6$
'.#4 !#.6$9 !6#(5'.$(## !'(#5.'(594
'.' !5.469 !6(59.#5#(4 !'6'.#4591
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'.'# !1(.1#5 !6$9.9(69 !'$6#.4$649
'.'5 !5'.9'1 !$#41.5$995 !'914.991#(
'.'6 !5(.5($ !41(6$.$611 !5(6#.64'6$
'.'4 !1#.955 !4$#9(.15$1$ !5##(1.'1#$(
'.5 9.#16 !4$66.$(#1' !55.4$1$5
'.5# .('1 !46$5.46'45 !5($55.(#$9'.55 !#5.94 !4916.$9(' !5$(1.$'$''
'.56 !'4.545 !9(1('.596#$ !59'5'.5''9
'.54 !'$.6#$ !1#61$.$#5 !(1'#1.15(4
'.( !#5.4$4 !14$5$.(6$'9 !('5'5.$9$$$
'.(# 1#.$59 !199'$.(45# !((6#1.655'
'.(5 6.#1( !1#$41.5$495 !($$54.4#95
'.(6 91.9 !4$9(.951#6 !(96(6.1('6
'.(4 11(.559 !6$$'.6(# !61#1#.699$
'.6 1#6.5$# !5'9$4.51#$' !6#'#9.(19#(
'.6# 9.944 !##6(#.11(' !6#99(.4#554
'.65 '(.4(# !1#1#.911$' !6''#5.5$5$'.66 (.1(# !6191.6595( !6'544.(#'1
'.64 9.14' !5$4(.416 !6'(94.#959$
'.$ #'.6' !1($.59#94 !6'661.4(46
'.$# #.444 1#$.5$9'9 !6'66$.#4419
'.$5 !1'.#11 1(.1#$4 !6'6(6.46#'$
'.$6 !1.466 !156'.59461 !6'6$1.'56''
'.$4 14.5'4 161.$1$5' !6'645.'6515
'.4 1(.65 '('.$5649 !6'65$.$9(
'.4# !#9.1#$ #141.$64 !6'(9.461#6
'.45 !4#.455 !4$99.9191$ !6'6($.5969
'.46 !1'$.(( !'59.(5(6 !6559.155''
'.44 !1$.#4' !6(95.'15$6 !659(9.14#95
'.9 !1'6.91( !9$#1.###6# !665$#.''4'1
'.9# !(5.#$ !195$.$'(($ !645$5.#($49
'.95 ('.'4$ !19(($.''1'4 !$665.('4(6
'.96 169.1#' !4$$'(.$$(64 !$#6'$.5696'
'.94 #(.64 !56(6(.69(5$ !$'94.545'5
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5.# #'6.45 ('91.46169 !$'4'6.'(#4'
5.5 14(.1'6 955$1.(1$59 !$#'6.$195
5.6 11.66' 1#'54.(#(5# !$141.194615.4 '.595 1'$'#'.$9#51 !6$($'.1((5'
5.1 !6(.195 1''9#.$6'51 !6546.$94$
5.1# !16.#45 11144.1'(9( !6#5'.5#44
5.15 !#4.9(# $((9$.1615' !6(#9.'6$9
5.16 !##.41 ''5(1.#45$# !(95'4.44'55
5.14 !#5.54' !4#(6.'1$16 !(9146.9''$$
5.# !156.$#5 !5#699.14$6( !(9696.54441
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5.## !69.'(1 !6'449.66#9 !6$6#.'$$'#
5.#5 1.1(# !6969(.'44' !6#94.##$5
5.#6 4$.#( !615'.9569 !6''96.611$
5.#4 111.(1( !56(.#1115 !6555.(551'
5.' 14.11 !19111.(4$'9 !6(#.16#1#
5.'# 4$.'#' (5.(#69# !6(19#.$'#$#5.'5 !16.5$4 $#.#96$ !6(1##.16559
5.'6 !$6.9'4 !#1(9.11( !6($'.$'165
5.'4 !'9.$(' !1'6#.49$5# !6(#'1.'($#
5.5 !15.5# !1491(.65'(' !6(((6.('61'
5.5# !1'.'(1 !#16'9.15(( !6(96#.45#
5.55 !#5.(15 !#('(#.(66( !665'#.115
5.56 !1.'(' !#$449.'5#$5 !66965.5##'
5.54 1#.9(6 !#6$(1.5'6(' !6$(1.4#4#
5.( 1#.1#6 !#5#91.655$9 !64#1.#(44'
5.(# #6.9'( !#56.9'#(# !64564.$4561
5.(5 '(.(61 !15''1.9594 !64416.$1'5'5.(6 #$.9$$ !41.$$415 !6951.5$1
5.(4 .''6 !('#5.1###' !691$(.#49$1
5.6 !#5.46 !$6('.#45$' !69'(.6'$4
5.6# !4.$15 !1469.94$' !6959.#9655
5.65 4.1#' !19#$.951 !69$4.#$(6(
5.66 15.996 !466.6(9$$ !6995.16165
5.64 ''.'' !'9(.5(($5 !$'.#$#4
5.$ (6.$($ 54((.#59(6 !$#1.##546
5.$# $'.1(' 1$(9(.(#'#6 !69$96.$1$1'
5.$5 $(.'5$ '#1(4.914#6 !69#99.1$#$#
5.$6 ((.14' 559(9.99('6 !64(#$.94'(4
5.$4 #'.415 (#$$.#'11( !6$((1.'11'#
5.4 !1.''1 (591#.1'496 !665$(.11$6#
5.4# !##.5## (#(4#.64##( !6(5.1695
5.45 !5'.'5$ 561'#.$165# !6551'.1(5#
5.46 !5#.4'9 '$64.5((5 !6'($5.44'$
5.44 !1$.#45 '1$45.19#$9 !6#44.#'$##
5.9 9.9#$ '16#.6914 !6##(1.$64'$
5.9# '1.94$ '(1$'.19$$4 !61(49.595$
5.95 '#.$# 515((.56'91 !64#'.1##46
5.96 15.$'1 565(.5'51# !(9954.11'445.94 .$6' 5$(65.9'$ !(91#.1#'
(. !9.5(( 56$1#.(6#6 !(469.#'(46
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The respose o! "he e#r"h$%#&e 's po""e ' "er*s o!
#++eer#"'o,eo+'".,'sp#+e*e" # "he. #re sho/ 0eo/
Figure 1. Acceer!"i#$(g) V% &i'e(%ec)
Figure 2. Ve#ci"(''%ec) V% &i'e(%ec)
Figure 3. Di%*!ce'e$"('') V% &i'e(%ec)
STEP 2:- RESPONSE TIME HISTORY
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CALCULATION OF TIME PERIOD:-
I "h's respose h's"or. +er"#' #ss%*p"'os #re *#e #s 0eo/
's+o%s D#*p' r#"'o - 5
M#ss o! "he 0%'' - N-se+
2
** T'*e per'o '"er#- 85 se+
Fro* "he #0oe #ss%*p"'os /e #re 9' "he ''"'# s"':ess #%e !ro*
"he 0eo/ !or*%#
2
k
m
S%0s"'"%"' "he #0oe #%es /e e",;
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he results obtained are tabulated belo0.
TIME
(sec)
ACCELERATION
(g)
VELOCITY
(mm/sec)
DISPLACEMEN
T
(mm)
Foce
(!N)
. . . . .
.# !.#9#6 1'.414$9 1.'419 1(4.(16$1
.5 !.4('1( 14'#.5$## '4.514 66.5((#
.6 !1.6$(41 #6'6.6546 4'.9##6 1'1#.15'9
.4 !#.4'(91 '$1#.111 156.($94( #'15.696#'
.1 !5.146' 5#56.999( ##6.1$4$ '($1.(5$#5
.1# !(.5$(9' '9$$.49$# '4.51969 54$.'6459
.15 !6.(49$9 ''99.69$## '4#.19(($ 6'(.'954
.16 !$.#'9( 146.#6'$$ 5'5.$9(14 6466.1#'
.14 !$.1145 !64$.6#4#9 556.(#1(' $(1.14(5
.# !6.'$'#$ !#551.5#(6 51(.#'1 6(($.6(1
.## !(.(46# !#$1#.($4# '6'.699$ ($5'.1$$(6
.#5 !5.4($ !#1#5.61$9$ '1(.'191 59$9.'1414
.#6 !5.'$444 !1#'#.#$'95 #41.$(9 5559.#196
.#4 !5.1(6$ !6'.51'1# #6'.1#'## 51((.$('1
.' !5.5$(# !''.$1'6 #('.$4#$ 5$.(6(4$.'# !'.46(56 !(9(.6((9 #55.$955 '46(.6'4#4
.'5 !'.1(11( !#5#.6('$6 #15.41$#1 ''9#.#($51
.'6 !1.64115 !541.59$1 15#.64($ ##('.##'
.'4 .1'666 !($'9.56'5# '$.1461 (4$.#19''
.5 1.$64(( !599.4$5## !$.11$#4 !11$.#5$6$
.5# '.19# !'69$.$$(# !1($.'$$ !#5$9.'519
.55 '.6#611 !1$'4.1'$5 !#11.'6#9 !'''$.$91
.56 '.55(5 96'.9(115 !#19.15$6 !'5(9.96'$
.54 #.'9665 ''$6.#( !1$(.$(#( !#$$5.6#65
.( .41#(1 (95.59('( !91.#9 !15'$.1499
.(# !1.5#19 (4'5.$(469 14.#9##( #44.4(96'.(5 !#.61#'( 5$66.(#$61 1#5.'(11 196#.95$66
.(6 !'.'$'#5 #49.'(54( 19#.46'95 '5(.(4(##
.(4 !#.99599 !1(5(.$'1 194.'14 '1'1.5'46
.6 !1.'5195 !((5.99$$# 1#$.5'#49 #1#.''9(#
.6# 1.#6#1( !4'$(.(9##9 !11.$''1 !14(.#4#9
.65 5.1# !4464.($6 !145.1$569 !#94.'$#
.66 6.51556 !6944.6#$4' !'5#.$56$' !(51#.5'956
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.64 $.$#99 !'$#'.6'$'5 !559.469'4 !$15.(#($
.$ 4.1696 !11#$.9611 !594.'4('6 !$4$.1461'
.$# 4.#6''5 !19(.941 !(11.6#55 !4$9.#5'
.$5 4.191$1 #$.#$5( !(1.44#4( !46$.('4('
.$6 4.'9'4 596.4$6 !('.##1$ !$956.((4($
.$4 4.#9'' !#1.6('5( !594.5$$'6 !$4$1.6'9#.4 $.999(# 1(.(#461 !59$.6'461 !$4(4.'9'94
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11
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7/26/2019 Sesmic Assignment
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12
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7/26/2019 Sesmic Assignment
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5.#4 !'1.564(6 #$1'#.49#4 '(.9949' 54'#.151'4
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(. !9#.6'1( !41#55.19(41 6'99.#6(4' 11('.1(((6
he acceleration , velocity and displacement plots corresponding to the time periods are plotted
and they are sho0n belo0.
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Figure +. Di%*!ce'e$"('') V% &i'e(%ec)
Figure ,. Ve#ci"(''%ec) V% &i'e(%ec)
Figure -. Acceer!"i#$(g) V% &i'e (%ec)
STEP 3:- RESPONSE SPECTRA
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7rom the above obtained plots and data the response spectra for the corresponding earthquake is
found in terms of acceleration , velocity and displacement and there respective results are
tabulated belo0.
Pe"o#
(sec)
Acce$e%&"o'(g)
Ve$oc"&(mm/sec)
D"s$%ceme'&
(mm)
Pse*#o+Acce$e%&"o
'
(g)
Pse*#o+,e$oc"&
(mm/sec)
Fo D%m"'g -.
.
#65.'(# . . '$'.41969 .
.#
#(9.(44' 11#4.#(6 #(.$46#$ #($.$455 41.99661
.5
'19.6$5$ 59(6.65$65 1#$.(4(' #4#.11$#$ 199(4.'$61
.6
#$6.$514' #6.9''9 #5$.54$$4 #'#.$(4' #(916.4(95
.4
('.9($$# '(4('.561$ 41.#1$6$ 1(.69595 6#9#$.5445'
.1
(1.116'6 6946.$4'69 1#55.455#6 '4.94(5 $4#1(.4$1(9
.1#
656.944# 4$$.$6(4' #'15.'4''# ##6.155$$ 1#114.4#$#4
.15
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.16
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.14
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17
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