Statically indeterminate truss

In summary, the content discusses the calculation of member forces in a statically indeterminate truss with the use of the unit load method and equations of equilibrium. The results are AF = 44 kN, CF = 125 kN, BC = -75 kN, FB = -135.2 kN, FE = 48.6 kN, EB = -81 kN, EA = 64.8 kN, and AB = -26.4 kN, with a suggestion to list all answers to at least three significant digits.
  • #1
raymanmusic
31
1

Homework Statement


Calculate the member forces in the statically indeterminate truss. Member AF and BE is not connected at the intersecting point. The cross sectional area is the same for all the members.

Illustration of truss:https://www.dropbox.com/s/xuvwdpybn3ajp9o/problem truss.jpg

Homework Equations


I first calculate member AF using the unit load method. When I know AF I have an statically determinate truss and I then use the joint method and the equations of equilibrium to find the other member forces.

The Attempt at a Solution


I calculated the following member forces. Does this look correct?
AF = 44 kN
CF = 125 kN
BC = -75 kN
FB = -135.2 kN
FE = 48.6 kN
EB = -81 kN
EA = 64.8 kN
AB = -26.4 kN
 
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  • #2
raymanmusic: Excellent work. All of your answers are currently correct. The only minor problem is, you should list all answers to at least three significant digits, not two significant digits. Therefore, the member force for members AF, CF, BC, and EB should instead be AF = 44.0 kN, CF = 125.0 kN, BC = -75.0 kN, and EB = -81.0 kN. We have no way of knowing that the digit you rounded off just so happened to be zero, for all four of these members.

(1) Generally always maintain at least four significant digits throughout all your intermediate calculations, then round only the final answer to three significant digits (unless the first significant digit of the final answer is 1, in which case round the final answer to four significant digits).
 
  • #3
Thanks nvn! Yes, sorry the member forces AF, CF, BC and EB are rounded off to zero as you say.
 

1. What is a statically indeterminate truss?

A statically indeterminate truss is a type of truss structure where the number of unknown forces is greater than the number of available equilibrium equations. This results in an indeterminate system that cannot be solved using traditional methods of structural analysis.

2. How is a statically indeterminate truss different from a statically determinate truss?

A statically determinate truss can be solved using traditional methods because the number of unknown forces is equal to the number of available equilibrium equations. In contrast, a statically indeterminate truss has more unknown forces, making it more complex to solve.

3. What are the common methods used to analyze a statically indeterminate truss?

The three common methods used to analyze a statically indeterminate truss are the method of consistent deformations, the slope-deflection method, and the moment distribution method. These methods involve solving a system of equations to determine the unknown forces in the truss.

4. What are the applications of a statically indeterminate truss?

Statically indeterminate trusses are commonly used in bridge and building structures, where they can provide greater stability and support for larger spans and loads. They are also used in the design of aircraft and other complex structures.

5. What are the limitations of using a statically indeterminate truss?

While statically indeterminate trusses offer advantages in terms of stability and load-bearing capacity, they can also be more difficult and time-consuming to analyze and design compared to statically determinate trusses. Additionally, they may be more prone to failure due to the increased complexity of the structure.

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