DESIGN

Working Stress Method (WSM)

Older method using permissible stresses well below yield. Now restricted to special structures (water tanks).

Also calledwsmworking stresselastic method
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CODES
Definition

Working Stress Method (WSM, also called allowable-stress method) is the older structural-design philosophy where the structure is designed using service loads (unfactored) and material strengths reduced by an arbitrary factor of safety. Material strength is divided by FoS to give 'permissible stress'; computed stresses must not exceed permissible. Indian Standard IS 456:2000 Annex B retains WSM for water-retaining structures; IS 3370 Part 2:2009 mandates WSM for concrete water tanks. Most other applications now use the modern Limit State Method (LSM) per IS 456 + IS 800:2007.

WSM characteristics: (a) single safety factor on material (typically 3.0 for concrete in compression, 1.85 for steel in tension); (b) permissible stresses below yield: e.g., for Fe415 steel in tension σst = 230 MPa (below yield 415); for M25 concrete in compression σcc = 8.5 MPa (below 0.45 fck = 11.25); (c) elastic stress-strain assumed throughout, no plastic redistribution; (d) deflection and crack-width checks with the same load level (not separate ULS/SLS as in LSM); (e) overall structure has 1.7-2.5× safety margin between design and ultimate, similar to LSM.

LSM superseded WSM in India for general construction in 2000 (with the IS 456:2000 revision). Reasons: (a) WSM's single safety factor doesn't distinguish material variability from load uncertainty; (b) WSM cannot adequately handle reliability-based design; (c) WSM is conservative for ordinary structures and overly aggressive for unusual structures. WSM is retained for: (1) Water-retaining concrete tanks per IS 3370 Part 2 — crack-width control critical, WSM gives more controllable design; (2) Specialty applications where LSM's plastic redistribution assumptions don't apply; (3) Older structure analysis — to compare with original WSM design. For routine modern Indian construction, LSM is the only correct design philosophy.

Where used
  • Water-retaining concrete tanks (IS 3370 Part 2)
  • Forensic analysis of older WSM-designed structures
  • Specialty applications where elastic assumptions hold
  • Educational illustration alongside LSM
  • First-principles sanity check of LSM-designed members
Acceptance / threshold
Per IS 456:2000 Annex B: stress in steel ≤ permissible σst; stress in concrete ≤ permissible σcc; deflection ≤ span/250 (final); crack width control if needed.
Site example
Site reality: an underground water tank designed by LSM and showed cracks at service load — the cracks were within IS 456 LSM crack-width limit but exceeded IS 3370 Part 2 WSM crack-control requirements (which is more stringent). Re-design via WSM (mandated for water-retaining structures) increased reinforcement by 18% and resolved the cracking issue. Always use the design method specified by the relevant code; LSM is not a universal substitute for WSM.
Frequently asked
What is Working Stress Method?
Working Stress Method (WSM) is an older design philosophy using service loads compared against permissible stress (= material strength / arbitrary factor of safety). Concrete safety factor 3.0; steel 1.85. Replaced by Limit State Method (LSM) for general construction in IS 456:2000. Retained only for water-retaining structures (IS 3370 Part 2) where crack-width control is critical.
What is the difference between WSM and LSM?
WSM uses unfactored service loads vs permissible stress (reduced by single FoS). LSM uses factored loads (γf = 1.5) vs reduced material strength (γm = 1.5). LSM separately checks ultimate (strength) and serviceability (deflection, cracking). LSM gives more uniform reliability across diverse structures; WSM is simpler but less rigorously calibrated. LSM is the modern Indian standard for general construction; WSM retained only for water-retaining structures and comparison purposes.
Why is WSM still used for water tanks?
Per IS 3370 Part 2:2009, water-retaining structures use WSM with explicit crack-width control. Reasons: (1) crack-width control more critical than ultimate strength; (2) WSM's lower service-load stresses naturally produce smaller cracks; (3) elastic-uncracked-section analysis used for crack control; (4) decades of successful tank design with WSM provide reliability evidence. For tanks: WSM at service load + ultimate check at LSM is the typical design approach.
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