The following should be arranged in ascending order based on their safety factor in the working stress method: (i) Connections, (ii) Short column, (iii) Long column, (iv) Tension members

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  1. i < ii < iii < iv
  2. i < iv < ii < iii
  3. iv = ii < iii < i
  4. iv = i < iii < ii

Answer (Detailed Solution Below)

Option 3 : iv = ii < iii < i
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Detailed Solution

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Explanation:

Working stress method:

  • Working stress method is used for the design of Reinforced concrete, Steel, and Timber Structures. 
  • The main assumption in the WSM is that the behavior of structural material is restricted within the linear-elastic region and the safety of it is ensured by restricting the stresses coming on the members by working loads.
  • It assumes that both steel and concrete are elastic and obey hook's law.
  • FOS for concrete is taken as 3 and for steel, it is 1.8
Connection FOS in WSM
Connection 2.5 - 3
Short column 1.67
Long column 1.92
Tension member 1.67

So, from the above table, the sequence of FOS will be

Short column = Tension member < Long column < Connection

Additional InformationDrawbacks of WSM:

  • It assumes the concrete is elastic which is not true.
  • It uses a factor of safety for stresses only and not for loads.
  • It gives uneconomical sections.
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