The American Institute of Steel Construction load and resistance factor des
ign (AISC-LRFD) Specification states that second-order effects should be co
nsidered in the design of frames; however, most designers are experienced o
nly in first-order analysis. To accomplish the second-order design requirem
ent, the AISC-LRFD Specification provides an approximate method to account
for the second-order effect bases on first-order analysis, where moment amp
lification factors B-1 and B-2 are introduced to account for the P-delta ef
fect (member instability) and P Delta effect (frame instability), respectiv
ely. However, the B-1 factor of the AISC-LRFD Specification may vary greatl
y from the exact solution, especially when the member is under a high axial
load. In this paper, a new moment amplification factor B-1* is proposed fo
r calculating the P-delta effect in the design of steel beam-columns. Param
etric studies were performed to examine the accuracy of the proposed moment
amplification factor and to compare it with that from theoretical analysis
and from current design specification. It was found that the proposed meth
od is simpler and more accurate than that given in the current design speci
fication.