When a steel I-section beam that is curved in plan is subjected to vertical
(or transverse) loading, its primary actions are bending about its major a
xis and torsion. Secondary torsion and minor axis bending actions are usual
ly significant in steel I-section beams curved in plan under combined bendi
ng and torsion. However, the common circular interaction equation used in p
ractice for rectangular solid or hollow section curved beams does not accou
nt for these significant effects and so may overestimate the interaction st
rength of steel I-section beams curved in plan under bending and torsion. T
his paper investigates the nonlinear elastic-plastic behavior of steel I-se
ction beams curved in plan under vertical loading and proposes straightforw
ard formulas for their design against combined bending and torsion actions.
Comparisons with rational finite-element results and existing experimental
results show that the proposed interaction equations provide a good lower
bound for the design of steel I-section beams curved in plan against combin
ed bending and torsion. The proposed interaction equations are simple and c
onsistent with existing codified design rules.