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A new analytical method that uses the
capacity axis of a section to determine its minimum capacity for biaxial
bending as well as provide the reference for equilibrium of external and
internal forces has been developed. Introducing this method, Structural
Analysis: The Analytical Method illustrates the procedures for predicting the
capacities of circular and rectangular sections in concrete and steel
materials.
By applying basic mathematics to the
standard principles in structural analysis, the author derived for the first
time all the equations required for solving the true capacity of circular and
rectangular sections in structural design. Previous authors have been unable to
employ basic mathematics and thus resorted to approximate methods, such as the
standard interaction formula for biaxial bending or more sophisticated methods
illustrated in current literature on the subject of determining the capacity of
above structural sections.
The book begins with a discussion of the
capacities of rectangular and circular footing foundation for a given allowable
soil-bearing pressure followed by the author’s latest integration of the
Boussinesq’s elastic equation for the dispersion of surface loads in
determining the exact average pressure to use in the standard soil settlement
formula. The author provides all the equations and tabulated values of key
point’s capacities of commercially-produced steel pipe, rectangular tubing, and
steel I-sections. He then lists the derived equations for the determination of
the ultimate strength capacity curve of reinforced concrete columns and
concrete-filled tubular columns without using the rectangular stress block
method of analysis.
Elucidating an elegant, straightforward,
and precise method, thus limiting guesswork, this book makes it easier to
confirm the adequacy and safety of designs by direct comparison of the external
loads to the internal capacities of circular and rectangular sections in
structural analysis and design.
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