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ENGINEERING STUDIES STRUCTURAL RESEARCH SERIES NO. 26

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ASEISMIC DESIGN OF 'ELASTIC STRUCTURES

By L E. GOODMAN, E. ROSENBLUETH,

cmd N. M. NEWMARK

Technical Report to

OFFICE OF NAVAL RESEARCH Contract N6onr-71, Task Order VI Project NR-064-1 83

UNIVERSITY OF ILLINOIS URBANA, ILLINOIS

ASEISMIC DESIGN OF STRUCTURES FOUNDED ON FIRM GROUND

By

L. E. Goodman, E. Rosenblueth, and N. M. Newmark

Technical Report to Office of Naval Research

Contract N6onr-7l, Task Order VI Project NR-064-l83

June 1952

Uni ver si ty of Illinois

Urbana, Illinois

i.

TABLE OF CONTENTS

I.

Synopsis

1.

II.

Acknowledgement

2.

III.

Introduction

I

IV.

Structural Responses

A

V.

Response of structures to Ideally Random Ground Motions 12.

-.I T
~

-1

x = ma.x:i.mum value earthquake

of ~ occurring during a particular

(L)

0

= Dimensionless constant defined by Equation (13) c =C, C'2..:: dimensionless ratio of the .Hexpected

C2

v

maximum displacement to the expected final dis-

placement of a structnreo

~

0(

=a

phase'angleo

...... 'l- ~

, , - a measure of earthquake intensity Dimensions ofK are LT -!

x ..

mean value of

X for

a number of structureso

~, corrected for the finite duration of seismic waves (T) 0

to:: fo

Bloor)

Office of the Chief of Engineers Asst.~ Chief for Military Construction Depa.rtment of the Army Bldg~ T-7, Gravelly Point Washington 259 Do Cn Attn; Structures Branch (E. F Carey) (1) ~rotective Construction Branch (I~ 0, Thorley) (1) 0

Office of the Chief of Engineers Asst~ Chief for Military Operations Department of the Army Bldg~ T-73 Gravelly Point Washington.25s D~ C~ Attn~ Structures Development Branch (w. F~ Woollard) (1)

Comm&~ding Officer Watertown Arsenal Watertown, Massachusetts Attng Labor2tory Division

(1)

Commanding Officer Frankford Arsenal Philadelphia 9 Pa.~ Attn~ Labora.t ory Di vi sian

(1)

Commanding Officer Squier Signal Laboratory Fort' Monmouth.~ New Jersey Attng Components and Materials Branch

(1 )

Other Int'erested Government Activi ties k:

Chief of Bureau of Ships Navy Department Wa.shington 25, Do C. Attn: Director of Research Code 440 Code 430 Code 421 Director', David Taylor Model Basin Washington 7, Do C. Attn: Structural Mechanics

(2)

(1) (1 )

(1)

Div~

(2)

Director, Naval Engr. Experiment Station Annapolis, Maryland

(1)

Director, Materials Laboratory New York N~val Shipyard Brooklyn It New York

(1)

Chief of Bureau of Ordnance Department Washington 25, D. C. Attn: Ad.-3, Technica.l Library Rec 0, P. H. Girouard

(1) (1)

Na.vy

Superintendent, Naval Gun ~actory Washinston 259 D. C~ Naval Ordnance Laboratory White Oak, Maryland BFD 1 ~ Silver Spring, Maryland Attng Mechanics Division Ordnance Test Station Inyokerni California Attn: Scientific Officer

Nav81

Naval Ordnance Test St at i on Underwater Ordnance Division Pasadena~ 'California Attn: Structures Division Physics Division

Chief of Bureau of Aeronautics Navy Department Washington 25, D. C. Attn: TD-41 Technical Library DE-229 C. W. Hurley DE-23~ E~ Mo Ryan g

(1)

(1) (1)

Naval Air Experimental Station Naval Air Material Center Naval Base Philadelphia l2g Pa. Attn: Head~ ~ronautical Materials Laboratory (1) Chief of Bureau of Yards and Docks Navy Department Washington 25i D~ Co Attn: Code P-3l4 (1) Oode C-3l3 (1) Officer in Oharge Naval Civil Engr. Research and Eval. Laboratory Naval Station Port Hueneme, Oalifornia

(1)

Superintendent Post Graduate School U S" Naval Academy .Annapolis~ Maryland

(1)

0

(1)

AIR FORCES Oommanding General 'Uo S. Air Forces The Pentagon Washington 25, D. Co Attn~ Resea.rch a.nd Development Division Commanding General Air Materiel Command Wright-Patt erson Air Force Base Davt on 9 Ohio Attn~ MCREX-B (E. R_ Schwartz) Office of Air Research Wright-Patterson Air Force Base Dayton 9 Ohio Attn~ Chief ~ Applied Mecheri cs Group

(1)

OTHER GOVERNMENT AGENCIES U~ S~ Atomic Energy Commission Division of Research

Washington~

D"

Co

(1)

National Advisory Committee for Aeronautics 1724 F Street, NoW~ Washingt on~D C.,

(1)

National Advisory Committee for Aeronautic s La..'l1.g1ey Fie1d g Virginia Attn~ Mr. Eo Lundquist

(1)

National Advisory Committee for Aeronautics Cleveland ~Iunicipal Airport C1evel~'t1d;i Ohio Attn~ J" H~ Co11ins 9 Jre

(1)

u~ S~ Maritime Commission Technical Bureau Washington~ D3 Co Attn~ Mr~ V~ Russo

(1)

0

Argonne Nati anal LaboI'at ory P{'O" Box 5207 Chicago SOi Illinois

(1)

Director i National Bureau of Standards Washington J D" C Attn~ Dro W~ Ho Ramberg £

S~ Coast Guard 1300 E Street. N~Wv Washington 9 D~ C~ Attn! Chief~ Testing and Development Division U~

Forest Products Laboratory Madison, Wisconsin Attn~ Lo tJo Markwardt

(1)

Contractors and other Investigators Actively Engaged in Related Research Professor Jesse Ormenclroyd Professor M~ A~ Sadowsky University of Michigan Illinois Institute of Technology Ann Arbor~ Michigan (1) TeChnology Center Chicago l6~ IllinoiS (1) Dr~ NQ J o Hoff~ Head Department of Aeronautical l)r~ W" Osgood Engineering and Applied Mechanics Armour Research Institute Polytechnic Institute of Brooklyn Tecrulology Center 99 Livingston Street Chicago, Illinois (1) Brooklyn 2~ New York (1) Professor R~ 10 Bisplinghoff TIro J~ N~ Goodier Massachusetts Inst~ of Technology S~hool of Engineering Cambridge 393 Massa.chusetts (1) Stan! ord Univers i ty Stanford 3 California (1) Professor B~ Fried Professor F~ K" Teichm~Jm Washington St2te College Department of Aeronautical Engr. (1) Pullman~ Wa.shington }-Tew York Uni versi ty University Heights 1 Bronx Professor E, Reissner New York Ci ty~ Ne"T York (1) Department of Ma.themat les Massachusetts Institute of Technology Professor C, T" ':Tang Cambridge 39 ~ MassB.chusett s (1) Department of Aeronautical Engr~ New York UniverSity Dr .. AT> Phillips University Heights, Bronx School of Engineering ~Tew York City. Neit! Yo""'" (1) Stanfori University Stanford~ California Professor E~ Sternberg Illinois Institute of Technology Professor Lb S= Jacobsen Technology Center Stanford University Chicago l6~ Illinois (1) Stanfordc California .(1)

Contractors and other Investigators Actively Engaged in Related Resea,rch Dr" W Prager Graduate Division of Applied Mathematics Brown University Providence, Rhode Island 0

(1)

Dr W .. H~ Hoppmann Department of Applied Mechanics Johns Hopkins University Baltimore i Maryland (1) t

Professor w. K~ Krefeld College of Engineering Columbia University New York City, New York Professor R. M~ Hermes University of Santa Clara Santa Clara, California

Professor B~ I n Lazan Head Department of Materials Engr~ University of Syracuse Engineering and Science Camnus Eo Syracuse 4, New York ~ (1) J

Professor Paul Lieber of Aeronautical Engineering and Applied Mechanics Polytechnic Institute of Brooklyn 85 Livingston Street Brooklyn 2s New York (1) Dept~

(1)

Dr. R. Po -Petersen Director 9 Applied Physics Division Sandia Laboratory Albuquerque, New Mexico (1)

R.. J" Hansen Massachusetts Inst o of Technology Cambridge 39, Massachusetts (1)

Dr~

Dr. Francis Ho Clauser Chairman~ Depto of Aeronautics The Johns Hopkins University School of Engineering Baltimore l8~ Maryland

(1)

Dr .. G. E. Uhlenbeck Engineering Research Institute University of Michigan Ann Arbor 7 Michigan

(1)

Dr" Walker Bleakney Department of Physics Princeton University Princeton~ New Jersey

Professor A~ C~ Eringen Illinois Institute of Technology Technology Center Chicago 16~ Illinois (1)

(1)

LibrarYi Engineering Foundation 29 West 39th Street New York City~ New York (1)

Professor Vito Salerno Department of Aeronautical Engr~ and Applied Mechanics Pqlytechnic Institute of Brooklyn 85 Livingston Street Brooklyn 2~ New York (1) George Lee U~ So Naval Post Gra.duate School Annapolis~ Maryland (1) Profe~sor

Professor Lloyi Donnell Department of Mechanics Illinois Institute of Technology Technology Center Chicago 16~ Illinois (1) Professor Llfnn Beedle Fritz Engineering Laboratory Lehigh UniverSity Bethlehem~ Pennsylvania

(1)

Dr. Bruce Johnston 301 West Engineering Building University of Michigan Ann Aroor g Michigan (1)

OVER

6. Professor N.. M. Ne','lJI1a.rk De:partment of Civil Engineering University of Illinois Urbanai' Illinois

(2)

Dean LD N~ Ridenour Graduate College University of Illinois Urbana s Illinois

(1)

Dean W. L. Everitt College of Engineering University of Illinois Urbana, Illinois

(1)

Professor w. C~ Hunt ingt on 1 Head Department of Civil Engineering University of Illinois Urbana.~ Illinois (1) Professor T~ J~ Dolan Department of Theoretical and Auplied Mechanics University of Illinois Urbana, Illinois

TASK VI PROJEOT - C.

1"

0

G. Ro Ho ~v 4

L"

flo Ml1nse K" Sinnamon J~ Mosborg C" Roberts J., Austin ED Goodma.n

Co P" Siess Research Assistants Files Reserve

]1"

RESEARCH ST.AFF

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