Are These Calculations for the Statically Indeterminate Truss Correct?

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SUMMARY

The calculations for the member forces in the statically indeterminate truss have been confirmed as correct, with specific values provided: 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. A key recommendation is to present all answers with at least three significant digits to ensure precision, particularly for members AF, CF, BC, and EB. The discussion emphasizes the importance of maintaining significant digits throughout calculations to avoid ambiguity in results.

PREREQUISITES
  • Understanding of the unit load method for analyzing trusses
  • Familiarity with the joint method and equations of equilibrium
  • Knowledge of significant figures in engineering calculations
  • Basic principles of statically indeterminate structures
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  • Research best practices for maintaining significant figures in engineering calculations
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Students in civil or structural engineering, professionals analyzing truss structures, and anyone involved in precision calculations in engineering design.

raymanmusic
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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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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).
 
Thanks nvn! Yes, sorry the member forces AF, CF, BC and EB are rounded off to zero as you say.
 

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