Concept explainers
(a)
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.
(a)
Answer to Problem 1P
The given truss is unstable.
Explanation of Solution
Given information:
The Figure of plane truss is shown.
Calculation:
Show the conditions for plane truss as follows:
Here, m is the number of members of the truss, r is the support reactions and j is the number of joints.
Refer the Figure of the given plane truss.
The number of the members in the plane truss is
The number of reaction is
The number of the joints in the plane truss is
Substitute the values of m, r, and j with Equation (1).
Thus, the plane truss is unstable.
(b)
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.
(b)
Answer to Problem 1P
The given truss is statically determinate.
Explanation of Solution
Given information:
The Figure of plane truss is shown.
Calculation:
Refer the Figure of the given plane truss.
The number of the members in the plane truss is
The number of reaction is
The number of the joints in the plane truss is
Substitute the values of m, r, and j with Equation (1).
Thus, the plane truss is statically determinate.
(c)
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)
Answer to Problem 1P
The given truss is statically determinate.
Explanation of Solution
Given information:
The Figure of plane truss is shown.
Calculation:
Refer the Figure of the given plane truss.
The number of the members in the plane truss is
The number of reaction is
The number of the joints in the plane truss is
Compare the values of m, r, and j with Equation (1).
Thus, the plane truss is statically determinate.
(d)
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)
Answer to Problem 1P
The given truss is unstable.
Explanation of Solution
Given information:
The Figure of plane truss is shown.
Calculation:
Refer the Figure of the given plane truss.
The number of the members in the plane truss is
The number of reaction is
The number of the joints in the plane truss is
Substitute the values of m, r, and j with Equation (1).
Thus, the plane truss is unstable.
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Chapter 4 Solutions
Structural Analysis, Si Edition (mindtap Course List)
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