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Structural Analysis: Cantilever Truss

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Question:

Discuss about the Structural Analysis for Cantilever Truss.

 

Answer:

Forces in Statistically Determinate Cantilever Truss

Introduction

This experiment examines determinate or indeterminate trusses in redundancy besides enabling theoretical and practical analysis of principles for structures which are both determinate and indeterminate (Kassimali, 2014). A fixed framework which is composed of two members in which one of them is redundant is mounted in pinned support at one end and a roller support at the other end. The redundant member cannot prevent the structure from falling even though it can be part of the structure. The other member is a ring through which the redundant member passes ensuring all members are lying on the same plane. Electronic loading cells are used in applying loads and the forces measured using digital force display. Deflections in the framework are determined by a displacement reading meter (Menon, 2009). The force of each member can be estimated using the strain, Young's modulus and the cross-sectional area of the member. The experiment has been done in two parts:

  • Engaging the redundant member in which we analyzed the structure as determinate
  • Without engaging redundant member in which the cantilever truss acted as an indeterminate structural member.
 

Theory

A truss system is a structure made up of slender members joined at their ends and is often constructed using channels, wooden struts, angles and metal bars in which the end members are either welded or bolted together. The sum of the vertical forces, horizontal forces and the moments must be zero for a truss system to be statistically determinate and the equation b+r=2j is used to determine whether a truss system is determinate or not (Faraji, 2016).

If b+r>2j, the truss is said to be statistically indeterminate while if b+r<2j then the truss system is unstable implying there aren’t enough reactions to constrain all the joints.

Procedure

The truss system is loaded in two situations-determinate with seven members and indeterminate using eight members. The loading starts at 50N and is increased by 50N each time up to 250N. Strain Gauges are used in measuring the internal forces of the members and the strain gauges used in calculating the displacement of the members. The equipment software is used in recording the values of the strain at each member. The internal forces of each member are calculated using strain, Young's modulus, and cross-sectional area. The final results for both truss situations are saved (Raikar, 2011). 

 

References

Faraji, S. (2016). Fundamentals of Structural Engineering. Kansas: Springer.

Karnovsky, I. A. (2010). Advanced Methods of Structural Analysis. New York: Springer Science & Business Media.

Kassimali, A. (2014). Structural Analysis. Kansas: Structural Analysis.

Megson, T. (2005). Structural and Stress Analysis. London: Butterworth-Heinemann.

Menon, D. (2009). Advanced Structural Analysis. London: Alpha Science International.

Raikar, R. V. (2011). Elements of Civil Engineering and Engineering Mechanics. New Delhi: PHI Learning Pvt. Ltd. 

OR

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