The family of transmissions has a plurality of members that can be utilized in
powertrains to provide at least eight forward speed ratios and one reverse speed
ratio. The transmission family members include three planetary gear sets having
seven torque-transmitting mechanisms and two fixed interconnecting members. The
powertrain includes an engine and torque converter that is continuously connected
to at least one of the planetary gear members and an output member that is continuously
connected with another one of the planetary gear members. The seven torque-transmitting
mechanisms provide interconnections between various gear members, the fixed interconnections,
the input shaft, the output shaft, and the transmission housing, and are operated
in combinations of two to establish at least eight forward speed ratios and at
least one reverse speed ratio.