Structural Analysis The Analytical Method



Preface
This book illustrates the analytical procedures for predicting the capacities

of circular and rectangular sections in concrete and steel materials. It introduces

the capacity axis in the analysis, which is a geometric property not considered

in all the current solutions in standard literature. It precludes the use

of the current standard interaction formula for biaxial bending, which

is a crude and inefficient method. More importantly, the analytical method

will prove the necessity of utilizing the capacity axis not only for determining

the minimum capacity of a section for biaxial bending but also as a reference

axis to satisfy the equilibrium of external and internal forces.

Under the current standard interaction formula for biaxial bending,

the satisfaction of equilibrium conditions is not possible. Proving

the equilibrium condition is the fundamental principle in structural

mechanics that every analyst should be able to do.


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