For the statically indeterminate truss shown in the figure below, determine a) t

Question

For the statically indeterminate truss shown in the figure below, determine

a) the number of redundancies, and

b) all external reactions plus the force in each member, using the principle of Complementary Virtual Work.

4.3 [Statically Indeterminate Truss-Forces in Members, Reactions] For the statically indeterminate truss shown in the figure below, determine (a) the number of redundancies, and (b) all external reactions plus the force in each member, using the Principle of Complementary Virtual Work. Material: Titanium E- 15 x 108 psi V 0.3 Cross-Sections Solid Circular A 0.17 in2 700 lb 600 lb 42" 2 42" 4 3 Some Answers P-2 -120.1 lb (c)

Explanation / Answer

1. The total indeterminancy of any structure is classified into two types, one is external and other is internal static indeterminancy

External Indeterminancy = unkown support reaction - Equations of equilibrium

= (2 at joint 4 + one at joint 3 + one at joint 2 )- 3

= 1

and Internal Inderminancy = no. of extra members if they removed then we will form a perfect triangles in case of pin jointed plain frames

Here it is only one which is nothing but diagonal member , if one diagonal member is removed then the truss will consists of two triangles to make it as a perfect frame.

Hence, Total indeterminancy = 2

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