   # Classify each of the plane trusses shown as unstable, statically determine or statically indeterminate. FIG.P4.2

#### Solutions

Chapter
Section
Chapter 4, Problem 2P
Textbook Problem
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## Classify each of the plane trusses shown as unstable, statically determine or statically indeterminate. FIG.P4.2

(a)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

### Explanation of Solution

Given information:

The Figure of plane truss is shown.

Calculation:

Show the conditions for plane truss as follows:

m+r<2jthe truss is statically unstablem+r=2jthe truss is statically determinatem+r>2jthe truss is statically indeterminate}        (1)

Here, m is the number of members of the truss, r is the support reactions and j is the number of joints.

Show the expression for the degree of static indeterminacy (i) as follows:

i=(m+r)2j

Refer the Figure of the given plane truss.

The number of the members in the plane truss is m=6.

The number of reaction is r=3

(b)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

(c)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

(d)

To determine

Categorize the given plane truss as unstable, statically indeterminate or statically determinate.

Find the degree of static indeterminacy in case the given truss is statically indeterminate.

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