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 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.