Theory of Beam Columns: Space Behavior and Design, Volume 2

Notation

All notation will be specifically defined where it is first introduced. The following Table will serve as a reference and guide. In general, capital letters will be used for properly dimensioned physical quantities, and the corresponding lower-case letters will stand for the same quantities expressed in dimensionless form. Where more than one meaning has been assigned to a symbol, the correct use will be obvious from the context. As far as possible, subscripts will have consistent values; representative samples are given in the Table.

A

= area

B, D

= width and depth of a cross section

C mx, C my

= equivalent moment factors used in AISC Specification

E, E t

= Young's modulus, tangent modulus

e

= end eccentricity

= concrete compressive strength

G

= elastic shear modulus

I

= moment of inertia

K

= ? ?a 2 dA where a is defined as the distance from a point on the cross section to the shear center

K T

= St. Venant torsion constant

L

= member length

1

= segment length

M

= bending moment

M ?

= bimoment or warping moment

M pcx, M pcy

= fully plastic moments of section about the x- and y-axis, respectively, reduced for the presence of axial load when P ? 0

M px, M py

= fully plastic moments of section about the x- and y-axis, respectively, when P = 0

M ucx, M

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