Presents a strain compatibility procedure for the design of complex co
ncrete structures subjected to combined membrane shear and transverse
shear. The procedure, which is a three-dimensional generalization of t
he modified compression field theory, accounts for triaxial (compressi
ve and tensile) stresses in concrete between cracks and shear stresses
on the crack surface. The method can be described as a three-dimensio
nal variable angle truss model with a rational concrete contribution (
Vc), where the inclination of the truss is determined by strain compat
ibility, and the concrete contribution is the shear that can be transm
itted across diagonal cracks by aggregate interlock. Nine large-scale
experiments in which elements of a concrete offshore structure wall we
re subjected to combined membrane shear and transverse shear are prese
nted. The equivalent beam approach, which is presently used to design
concrete offshore structures, is not able to predict the experimental
trend because it makes use of the traditional beam shear design equati
ons, which are inaccurate when significant axial load is present, and
also because it does not properly account for the orientation of the i
n-plane reinforcement. The three-dimensional modified compression fiel
d approach presented in this paper accurately predicts the influence o
f membrane shear on transverse shear and, thus, is a more appropriate
shear design method for complex concrete structures.