Classify the structures in Figures P332 Indicate if stable o

Classify the structures in Figures P3.32. Indicate if stable or unstable. If unstable, indicate the reason. If the structure is stable, indicate if determinate or indeterminate. If indeterminate, specify the degree. Figures P3.32: hinge hinge hinge link (0

Solution

a) Structure is stable. statically indeterminate. Degree of indeterminacy = External reactions-equilibrium equations- number of internal hinges. Degree of indeterminacy is (3+1+2-3)=3

b) Structure is stable. statically determinate. Degree of indeterminacy=4-3-1=0.

c)  Structure is stable. statically determinate. Degree of indeterminacy=4-3-1=0.

d) Structure is stable. statically indeterminate. Degree of indeterminacy=7-3-2=2.

e) Structure is stable. statically indeterminate. Degree of indeterminacy=6-3=3.