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Merits of limit state over working stress

Short answer

LSM uses partial safety factors based on load variability and statistical reliability, considers post-elastic strength and redistribution, provides uniform reliability, checks serviceability explicitly, and yields lighter, more economical sections than WSM's single factor approach.

Explain why the limit state design method is better (more popular) than the working stress design method.

The Limit State Method (LSM) is now preferred (IS 800:2007) because it is more rational and economical than the Working Stress Method (WSM).

  1. Realistic behaviour: WSM assumes linear elastic behaviour only. LSM considers the actual behaviour up to failure, including post-elastic strength, local and lateral buckling, and redistribution.
  2. Separate partial safety factors: WSM uses one factor of safety for everything. LSM applies γf\gamma_f to loads (different for DL, LL, WL) and γm\gamma_m to materials and connections, so each uncertainty is treated according to its own variability.
  3. Uniform reliability: the probability of failure is nearly the same for all members, whereas WSM gives unknown, non-uniform safety margins.
  4. Economy: because dead loads vary less than live loads, LSM uses smaller factors where uncertainty is less and gives lighter sections.
  5. Serviceability check: LSM checks deflection, vibration, durability and fire explicitly, along with strength.
  6. Probabilistic basis: characteristic values are statistical (e.g. the strength exceeded by 95% of test results, i.e. the 5% fractile), allowing improvement as more data become available.
  7. Compatible with other codes: IS 456 (RCC), IS 1893 and international codes (Eurocode, AISC LRFD) all use limit states, so one design philosophy suits composite and mixed structures.
  8. Direct check of ultimate capacity: design strength is compared directly with the factored load, giving a clear margin against failure.

Thus LSM gives safer, more uniform and generally more economical designs than WSM.

✓ Answer checked by Claude Opus 5.5 (high effort)

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