Classify each of the plane trusses shown as unstable, statically determinate, or statically indeterminate. If the truss is statically indeterminate, then determine the degree of staticac indeterminacy. StabilityIf number of bars m of the truss and the total number of external support reactionsr is less than twice the number of joints j, (m+r< 2j), a truss will be staticallyunstable.• External Stability - a structure (or truss) is externally unstable if all of itsreactions are concurrent or parallel• Internal Stability - the requirement of the minimum number of members thata plane truss must contain; can be determined bym < 2j 3 the truss is internally unstablem 2 2j 3 the truss is internally stableStability, Determinacy, IndeterminacyDeterminacyTruss are statically determinate if the forces in all its members, as well as all the externalreactions, can be determined by using the equations of equilibrium. To specify the determinacy,we havem + r = 2j statically determinate trussm +r> 2j statically indeterminate trussDegree of static indeterminacy, i, which can be expressed asi= (m = r) 2jExamplesBm= 16 j= 10 r=3m+r< 2jm = 26 j= 15 r=4 Staticallym+r = 2jUnstabledeterminateEUnstableStaticallydeterminateStaticallydeterminateAC EnGm = 10 j=7 r= 4m+r= 2jm = 16 j= 10 7=4m+r = 2jj=8 r=3m+r = 2jm = 13 (a)(b)(c)

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Classify each of the plane trusses shown as unstable, statically determinate, or statically indeterminate. If the truss is statically indeterminate, then determine the degree of staticac

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Classify each of the plane trusses shown as unstable, statically determinate, or statically indeterminate. If the truss is statically indeterminate, then determine the degree of staticac indeterminacy.