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
three fixed interconnections. 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 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.