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 (MindTap Course List)
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- Three forces are acting on the simple truss as shown. Specify the point on the x- axis through which R must pass. Determine the magnitude of the resultant R of the three forces. Specify the point on the y- axis through which R must pass.arrow_forward(1a)Many different structures are composed of multiple members. Which of the following characteristics are unique to trusses? Group of answer choices (A)Trusses consist exclusively of members which sustain applied moment. (b)Trusses consist exclusively of two-force members. (cTrusses include at least one two-force member as well as an unlimited number of members which sustain applied moment. (d)Trusses contain at least one member which supports applied moment. (b) Newton's third law of physics applies to truss members. The force exerted by any one truss member is equal and opposite to that exerted by a contacting truss member. Group of answer choices True Falsearrow_forward