May 201398CivA Page 2 of 7 6 1 For each of the structures sh

May 2013-98-Civ-A Page 2 of 7 (6) 1. For each of the structures shown state whether it is unstable, statically determinate, or statically indeterminate. If the structure is statically indeterminate, state the degree of indeterminacy. Structures a) through d) have beam-type members. TYPIGALHINGE C) Structures e) and f) have truss-type members. Diagonals are not connected where they cross.

Solution

A. Statically determinate: 4 unknowns (2 hinge + 1 roller + 1 roller) and 4 equation (3 equation of equilibrium + 1 internal hinge)

B. Statically indeterminate of degree 4

C. Statically indeterminate of degree 2

D. Statically indeterminate of degree 4

E. Statically indeterminate of degree 2

F. Statically determinate