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Working stress vs limit state method
Short answer
WSM is based on elasticity with working loads and a single safety factor on stress. LSM considers ultimate and serviceability limit states, uses factored loads and partial factors on loads and material, idealizing steel as elastic-perfectly plastic, achieving more uniform reliability and economy.
Differentiate between the working stress method of design and the limit state method of design (with sketches).
| Point | Working Stress Method | Limit State Method |
|---|---|---|
| Basis | Elastic theory | Behaviour up to failure and at service |
| Loads | Working (characteristic) loads | Factored loads characteristic |
| Safety | One factor of safety on material stress | Partial factors and |
| Design check | Stress permissible stress | Factored action design strength |
| Stress-strain | Linear elastic | Idealised (elastic-plastic) |
| Failure | Failure not considered | Limit states of strength and serviceability |
| Uniform safety | Not uniform | Nearly uniform reliability |
| Economy | Generally heavier | More economical |
| Code | IS 800:1984 | IS 800:2007 |
WSM LSM
stress stress
fy | / fy | ______ (plastic)
0.6fy|----/ perm. fd |-/
| / |/ design
|__/____ strain |________ strain
In WSM the structure is designed to keep stress below under working load; in LSM it is designed so that the factored load does not exceed the design strength and deflection stays within limits.
✓ Answer checked by Claude Opus 5.5 (high effort)
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