P

FIGURE 2.120 Beam-column with end springs.

FIGURE 2.120 Beam-column with end springs.

Solving Equations 2.317 and 2.318 simultaneously for MA and MB gives

EIs2 EIs\

LRkB LRkB

EIs2 EIsi2j

LRkA LRkA

where

EIsi ii 1

EIsii

L ) RkARkB

In writing Equations 2.319 and 2.320, the equality sjj = sii has been used. Note that as RkA and RkB approach infinity, Equations 2.319 and 2.320 reduce to Equations 2.308 and 2.309, respectively.

2.12.4.4 Member with Transverse Loading

For members subjected to transverse loading, the slope deflection Equations 2.308 and 2.309 can be modified by adding an extra term for the fixed-ended moment of the member:

0 0

Post a comment