Calculate DOI and identify the following structure as determinate, indeterminate, or unstable. Your answer is DOl if determinate or indeterminate and "-1" if unstable (the answer for any unstable structure is "-1" irrespective of the value of DOI). %23

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Calculate DOI and identify the following structure as
determinate, indeterminate, or unstable. Your
answer is DOI if determinate or indeterminate and
"-1" if unstable (the answer for any unstable
structure is "-1" irrespective of the value of DOI).
to
4.
Transcribed Image Text:Calculate DOI and identify the following structure as determinate, indeterminate, or unstable. Your answer is DOI if determinate or indeterminate and "-1" if unstable (the answer for any unstable structure is "-1" irrespective of the value of DOI). to 4.
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Step 1 Solution

Degree of indeterminacy  DOI Ds= Dse+ DSi                     - - -1here Ds = Total Static indeterminacy Dse=external static indeterminacy Dse =re-3             for 2D   where re=total external reactionsin given structure re=2+2+2=6        (two reactions at every support)so  Dse=re-3=6-3=3ANDDSi=internal static indeterminacy DSi =3C-rr     where C=number of clossed loop   and rr=released reactionsin giveb structure   C=2  and rr=0 DSi =3C-rr=3×2-0=6

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