Question:

The load carrying capacity of a column designed by working stress method is 1000 kN. The ultimate collapse load of the column is:

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WSM is a deterministic approach that uses a factor of safety on material strength. LSM is a probabilistic approach that uses partial safety factors on both loads (usually 1.5) and materials.
Updated On: May 20, 2026
  • 1000 kN
  • 1500 kN
  • 3000 kN
  • 662.5 kN
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The Correct Option is B

Solution and Explanation

Concept: Working Stress Method (WSM) designs for "service" or "working" loads, while Limit State Method (LSM) designs for "ultimate" or "collapse" loads. The ultimate load is the working load multiplied by a factor of safety or load factor.

Step 1:
Understand the relationship between Working Load and Ultimate Load.
In standard structural design practice, the ultimate load ($P_u$) is roughly 1.5 times the working load ($P_w$) for typical load combinations (like Dead Load + Live Load). \[ P_u = \text{Load Factor} \times P_w \]

Step 2:
Calculate the collapse load.
Given Working Load = $1000 \text{ kN}$. Using the standard load factor of 1.5: \[ P_u = 1.5 \times 1000 = 1500 \text{ kN} \]
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