Classify each of the following trusses as statically determinate, statically indeterminate, or unstable. If indeterminate, state its degree.
(a)
If, the truss is statically determinate, statically indeterminate or unstable and its degree.
Answer to Problem 3.1P
The truss is statically determinate.
Explanation of Solution
Given:
One end of the truss has roller support and the other end has pinned support.
Concept Used:
The determinacy of the structure is obtained from the formula:
If
If
If
Where j is the number of joints.
m is the number of members of the truss.
r is the number of reactions at the support.
In case of pinned support there are two reactions.
In case of roller support there is only one reaction.
In case of fixed support there are three reactions.
In case of simple support there is only one reaction.
Calculation:
Here,
Which implies that the truss is statically determinate.
Conclusion:
Hence, the truss is statically determinate.
(b)
If, the truss is statically determinate, statically indeterminate or unstable and its degree if indeterminate.
Answer to Problem 3.1P
The truss is statically indeterminate.
Degree of indeterminacy i=2.
Explanation of Solution
Given:
Both the ends of the truss have pinned joint.
Concept Used:
The determinacy of the structure is obtained from the formula:
If
If
If
Where j is the number of joints.
m is the number of members of the truss.
r is the number of reactions at the support.
In case of pinned support there are two reactions.
In case of roller support there is only one reaction.
In case of fixed support there are three reactions.
In case of simple support there is only one reaction.
Calculation:
Here,
Which implies that the truss is statically indeterminate with degree of indeterminacy as 2.
Conclusion:
Truss is statically indeterminate.
Degree of indeterminacy i=2.
(c)
If, the truss is statically determinate, statically indeterminate or unstable. If statically indeterminate and its degree.
Answer to Problem 3.1P
The truss is statically determinate.
Explanation of Solution
Given:
One end of the truss has pinned support and the other end has roller support.
Concept Used:
The determinacy of the structure is obtained from the formula:
If
If
If
Where j is the number of joints
m is the number of members of the truss
r is the number of reactions at the support
In case of pinned support there are two reactions
In case of roller support there is only one reaction
In case of fixed support there are three reactions
In case of simple support there is only one reaction
Calculation:
Here,
Which implies that the truss is statically determinate.
Conclusion:
Truss is statically determinate.
Want to see more full solutions like this?
Chapter 3 Solutions
Structural Analysis (10th Edition)
Additional Engineering Textbook Solutions
Foundation Design: Principles and Practices (3rd Edition)
Elementary Surveying: An Introduction To Geomatics (15th Edition)
Elementary Surveying (14th Edition)
Materials for Civil and Construction Engineers (4th Edition)
Starting Out With Visual Basic (7th Edition)
Starting Out with Java: From Control Structures through Objects (6th Edition)
- Problem 5 Classify each of the following trusses as statically determinate, statically indeterminate, or unstable. If indeterminate, state its degree. AX (a) Ⓡ (b) + (c)arrow_forwardsolve for all the member forces and supports of the following truss system:arrow_forwardDetermine the statical determinacy of the given structures. If indeterminate, state the degree of indeterminacy.arrow_forward
- Find the global equilibrium of the truss.arrow_forwardWhy is Varignon's theorem important? O It allows us to negate the actual weight of the truss members in truss analysis. O None of these are are correct O It allows us to compute the moment of a force by taking the moment of the force's components. O It permits us to assume every member in a truss is a two-force member. O It allows us to take a moment at any point along the line of action.arrow_forward6) Find the forces in the FH, GH and GI bars in the truss system shown in the figure. Karrow_forward
- Classify the plane truss shown as unstable, statically determinate, or statically indeterminate. If the truss is statically indeterminate, then determine the degree of static indeterminacy.arrow_forward10 - Which of the following statements about the stiffness condition in plane truss systems is false? a) Insufficiently connected systems can be made fully connected with their supports. B) Inadequately connected systems fail. O C) Every internally and externally fully connected truss system satisfies the condition 2d = c + 3. D) Over-connected and over-rigid systems can be expressed as hyperstatic systems. O TO) Every cage system that meets the rigidity condition is not statically determined, rigid and fully connected.arrow_forwardState each of the structures as statically determinate, statically indeterminate, or unstable. If it is indeterminate, specify the degree of indeterminacy.arrow_forward
- The truss shown is composed of 45° right triangles. The crossed members in the center two panels are slender tie rods incapable of supporting compression. Find the forces in all four cross members. The forces are positive if in tension and zero if they attempt to go into compression. Also find the force in member MN (positive if in tension, negative if in compression).arrow_forwardDetermine the force in each member of the space truss and state if the members are in tension or compression. Hint: The support reaction at E acts along member EB. Why?arrow_forward1: Determine the force in each member of the space truss and state if the members are in tension or compression. The truss is supported by ball-and-socket joints at C, D, E. and G. Note: Although this truss is indeterminate to the first degree, a solution is possible due to symmetry of geometry and loading 2 m 2 m 3 m F = 10 kN 4 m 4 marrow_forward
- Structural Analysis (10th Edition)Civil EngineeringISBN:9780134610672Author:Russell C. HibbelerPublisher:PEARSONPrinciples of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage Learning
- Fundamentals of Structural AnalysisCivil EngineeringISBN:9780073398006Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel LanningPublisher:McGraw-Hill EducationTraffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage Learning