Chapter 5 Method of Consistent deformation

諧合變位法Analysis of statically indeterminate structures

(beams, trusses, and frames) by the method of consistent deformation

Castigliano’s compatibility equation (Method of least work )

5-1 general

5-2 Analysis of statically indeterminate beams by

the method of consistent deformations

• r>3+c

Support settlements (支承沉陷 )

A beam, shown in the figure, is subjected to the uniformly distributed load. The support settlements are 5/8 in. at B, 1.5 in. at C, and 0.75 in. at D.

5-3 Analysis of statically indeterminate frames by the method of consistent deformations

r+3b>3j+c

5-3 Analysis of statically indeterminate trusses by the method of consistent deformations

• r+b>2j

5-5 Castigliano’s compatibility equation

(method of least work)