The variation of in-place strength in a structure is due to within-batch va
riation, batch-to-batch variation, systematic within-member strength variat
ion, and systematic between-member strength variation. Batch-to-batch varia
tion is particularly significant for cast-in-place structures and may eithe
r inflate the within-member variation if each member is cast from many batc
hes or inflate the between-member variation if each member is cast from a s
ingle batch. Values of coefficients of variation that represent the overall
variation of the in-place concrete strength in a structure vary from 7 per
cent for one member cast from one batch of concrete to 13 percent for a str
ucture consisting of many members cast from many batches of cast-in-place c
oncrete.
Multiple regression analysts techniques are used to assess the systematic v
ariation of the strength of concretes in laboratory specimens cast from one
batch of concrete. Statistically significant systematic strength variation
is detected over the height of 32 of 43 columns with average strengths fro
m 2200 to 5200 psi. Typically, the top region was 3 to 14 percent weaker th
an the region in the middle, and the bottom region was 3 to 9 percent stron
ger than the region in the middle. Significant systematic variation of the
in-place strength is also detected in 20 of 26 beams, blocks, slabs, and wa
lls with average strengths from 2200 to 17,000 psi. Investigation of ultras
onic pulse velocity and pull-off test data from building columns and bridge
girders corroborates the findings of the investigation of elements cast in
the laboratory.