|
Parameter
/ Design Aspect |
Working
Stress Method (WSM) |
Ultimate
Load Method (ULM) |
Limit
State Method (LSM) |
|
1. Basic
Philosophy |
Based on Elastic theory – assumes linear
relationship between stress and strain. |
Based on Ultimate strength theory –
analyzes behavior at collapse (nonlinear). |
Based on Limit state philosophy – ensures
both safety (collapse) and serviceability (deflection, cracking). |
|
2. Design
Load Used |
Service (actual) load – not multiplied by any factor. |
Factored (ultimate) load – actual load multiplied by a load factor (e.g.,
1.5). |
Factored load with partial safety factors – separate factors for dead, live, and wind
loads. |
|
3.
Material Strength Used |
Reduced (permissible) stress = actual strength ÷ large FoS. |
Ultimate strength – nearly full strength of material used. |
Characteristic strength / partial FoS – realistic and statistically based design
strength. |
|
4. Factor
of Safety Application |
Applied entirely on material (e.g., 3 for
steel, 3 for concrete). |
Applied on both load and material, but
globally, not differentiated. |
Partial safety factors applied separately to both loads and
materials, depending on uncertainty. |
|
5. Stress
Condition |
Stresses are kept within elastic limit –
no cracking allowed. |
Stresses reach ultimate (plastic) stage –
cracking allowed up to failure. |
Both elastic and inelastic behavior
considered; serviceability ensured under working loads. |
|
6.
Strength Utilization |
Only about 30–40% of material strength
utilized. |
Up to 90% of ultimate strength utilized. |
Optimized use – typically 70–85% depending on load combinations. |
|
7. Load
and Stress Relationship |
Linear (Hooke’s law valid). |
Non-linear (beyond yield). |
Non-linear at ultimate state, linear under
service conditions. |
|
8. Type of
Safety Ensured |
Ensures no failure and no visible cracks
(safe but conservative). |
Ensures safety against collapse only
(service issues ignored). |
Ensures safety + serviceability + durability
(balanced design). |
|
9. Section
Size Requirement |
Large/heavy section – because material strength is reduced. |
Small/light section – full strength utilized. |
Optimized section – between WSM and ULM, practical for economy and
serviceability. |
|
10. Use of
High-Strength Materials |
Not much beneficial – high-strength material
still reduced by same FoS. |
Beneficial – full strength can be used. |
Very beneficial – design uses characteristic
strength effectively. |
|
11.
Deflection and Cracking Control |
Automatically low (because of large sections and
low stress). |
Not controlled – structure may deflect or crack
under service loads. |
Specifically checked under serviceability
limit state conditions. |
|
12.
Realism / Accuracy of Design |
Unrealistic – doesn’t match actual failure behavior. |
Partly realistic – reflects failure load but not real-life
service conditions. |
Most realistic – combines strength and service behavior, matches real-life
performance. |
|
13. Basis
of Safety Factors |
Empirical – fixed
values from experience. |
Arbitrary – same
factors for all loads and materials. |
Statistical / Probabilistic – based on variability of loads and material
properties. |
|
14.
Economy of Design |
Least economical (heavy and material consuming). |
Most economical (small sections). |
Balanced economy and safety (rational and cost-effective). |
|
15. Major
Limitation |
Too conservative and uneconomical. |
Ignores serviceability (cracks, deflection,
durability). |
Slightly complex, but conceptually comprehensive. |
|
16. Code
Usage / Status |
Obsolete – not used in modern codes (IS 456:1978
still included for reference). |
Transitional stage – historically used, now
outdated. |
Current standard (IS 456:2000, Eurocode, ACI). |
|
17. Reason for Next Evolution | Too safe and costly. | Unsafe for service use (cracks, excessive deflection). | Solves both safety and usability together. |
|
18. Overall Evaluation |
Safe but wasteful. |
Economical but impractical for service. |
Balanced, safe, economical, and serviceable. |
|
|
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