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
Starting Out with C++: Early Objects (9th Edition)
Starting Out with Java: From Control Structures through Data Structures (4th Edition) (What's New in Computer Science)
Computer Science: An Overview (13th Edition) (What's New in Computer Science)
Database Concepts (8th Edition)
SURVEY OF OPERATING SYSTEMS
Introduction To Programming Using Visual Basic (11th Edition)
- : +0 العنوان use only Two rods fins) having same dimensions, one made orass (k = 85 Wm K) and the mer of copper (k = 375 W/m K), having of their ends inserted into a furna. At a section 10.5 cm a way from furnace, the temperature of brass rod 120 Find the distance at which the ame temperature would be reached in the per rod ? both ends are ex osed to the same environment. ns 2.05 ۲/۱ ostrararrow_forwardI need a real solution, not artificial intelligencearrow_forwardI need detailed help solving this exercise from homework of Applied Mechanics. I do not really understand how to do, please do it step by step, not that long but clear. Thank you!arrow_forward
- I need detailed help solving this exercise from homework of Applied Mechanics. I do not really understand how to do, please do it step by step, not that long but clear. Thank you!arrow_forwardI need detailed help solving this exercise from homework of Applied Mechanics. I do not really understand how to do, please do it step by step, not that long but clear. Thank you!arrow_forwardI need detailed help solving this exercise from homework of Applied Mechanics. I do not really understand how to do, please do it step by step, not that long but clear. Thank you!arrow_forward
- I need detailed help solving this exercise from homework of Applied Mechanics. I do not really understand how to do, please do it step by step, not that long but clear. Thank you!arrow_forwardI need detailed help solving this exercise from homework of Applied Mechanics. I do not really understand how to do, please do it step by step, not that long but clear. Thank you!arrow_forwardI need detailed help solving this exercise from homework of Applied Mechanics. I do not really understand how to do, please do it step by step, not that long but clear. Thank you!arrow_forward
- I need detailed help solving this exercise from homework of Applied Mechanics. I do not really understand how to do, please do it step by step, not that long but clear. Thank you!arrow_forwardI need detailed help solving this exercise from homework of Applied Mechanics. I do not really understand how to do, please do it step by step, not that long but clear. Thank you!arrow_forwardI need detailed help solving this exercise from homework of Applied Mechanics. I do not really understand how to do, please do it step by step, not that long but clear. Thank you!arrow_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