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The concept of analysis of bearing capacity failure was first developed by ___________
Terzaghi
Meyerhof
Prandtl
Darcy
Prandtl
The mathematical theory for bearing capacity failure was pioneered by Ludwig Prandtl, who originally developed the slip-line theory for the indentation of a rigid punch into an elastic-plastic solid. This theoretical foundation was later adapted by Terzaghi and others to solve the complex geotechnical problem of soil failure under foundation loads.
The mathematical theory for bearing capacity failure was pioneered by Ludwig Prandtl, who originally developed the slip-line theory for the indentation of a rigid punch into an elastic-plastic solid. This theoretical foundation was later adapted by Terzaghi and others to solve the complex geotechnical problem of soil failure under foundation loads.
quтАЛ=cNcтАЛ+qNqтАЛ+0.5╬│BN╬│тАЛ тАФ Terzaghi's general bearing capacity formula built on Prandtl's concepts
NcтАЛ=(NqтАЛтИТ1)cot╧Х тАФ Prandtl's bearing capacity factor relating to cohesion
Prandtl's mechanism assumes a plastic failure zone beneath a strip footing consisting of three regions: an elastic triangular wedge immediately under the footing, a radial shear zone, and a passive rankine zone. When the foundation load increases, the soil reaches a plastic state, forming these slip surfaces that allow the soil to heave, leading to bearing capacity failure.
Prandtl's 1920 study focused on the indentation of rigid bodies into metals.
Karl Terzaghi extended Prandtl's slip-line field solution to soil mechanics in 1943.
The failure mechanism involves a complex set of logarithmic spiral slip surfaces.
The analysis assumes a strip footing with a rough base.
Provides a rigorous mathematical basis for soil failure mechanisms
Allows for the derivation of theoretical bearing capacity factors
Prandtl's original work ignored soil weight in the plastic zone
Mathematical complexity increases significantly for non-strip footings
Foundation design for shallow footings
Slope stability analysis
Pavement design and subgrade bearing evaluation
Terzaghi's contribution (Option A) was the practical application of these theories to soil engineering.
Meyerhof (Option B) later introduced corrections for footing shape, depth, and inclination based on these foundational concepts.
Darcy (Option D) is famously associated with the law of fluid flow through porous media, not bearing capacity.
C is correct тАФ Prandtl established the foundational slip-line theory for plastic deformation that serves as the theoretical basis for modern bearing capacity calculations.
In competitive exams, remember that while Terzaghi is the 'father of Soil Mechanics', Prandtl provided the fundamental plastic theory, and Meyerhof provided the generalized extension.
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