Page 207 - Handbook of Civil Engineering Calculations, Second Edition

1.190 STRUCTURAL STEEL ENGINEERING AND DESIGN

WIND-STRESS ANALYSIS BY
SLOPE-DEFLECTION METHOD

Analyze the bent in Fig. 18a by the slope-deflection method. The moment of inertia of
each member is shown in the drawing.

Calculation Procedure:
1. Compute the end rotations caused by the applied moments
and forces; superpose the rotation caused by the transverse displacement
This method of analysis has not been applied extensively in the past because the arith-
metic calculations involved become voluminous where the bent contains many joints.
However, the increasing use of computers in structural design is overcoming this obstacle
and stimulating a renewed interest in the method.
Figure 19 is the elastic curve of a member subjected to moments and transverse forces
applied solely at its ends. The sign convention is as follows: an end moment is positive if

FIGURE 18. (a) Load on bent; (b) load and reactions.

FIGURE 19. Elastic curve of beam.