Multistep gear mechanism of planetary design

A multi-step transmission of planetary design for a motor vehicle, the multistep transmission comprising:

• a housing accommodating:
• a drive shaft (2), an output shaft (3;
• 20) and third, fourth, fifth, sixth, seventh, and eighth rotatable shafts;
• first, second, third, and fourth planetary sets (4, 5, 6, 7) with each of the first planetary gear set (4), the second planetary gear set (5), the third planetary gear set (6), and the fourth planetary gear set (7) comprising a sun gear, a ring gear and a carrier;
• and at least six shift elements comprising at least a first brake (8, 9, 10;
• 8, 9;
• 8, 29;
• 8) and at least first, second, and third clutches (11, 12, 13;
• 11, 12, 13, 21;
• 11, 12, 13, 24;
• 11, 12, 13, 27;
• 11, 12, 13, 27, 30;
• 11, 12, 13, 27, 31), and selective actuation of the at least six shift elements implementing different transmission ratios between the drive shaft (2) and the output shaft (3;
• 20);
• the drive shaft (2) being continuously connected to the carrier of the second planetary gear set (5) and being connectable, via the third clutch (13), to the third shaft (14);
• the third shaft (14) being continuously connected to the carrier of the first planetary set (4) and the third shaft (14) being connectable, via the first brake (8), to the housing (1) and the third shaft (14) being connectable, via the first clutch (11), to the fourth shaft (15;
• 23);
• the fourth shaft (15;
• 23) being continuously connected to the ring gear of the third planetary gear set (6);
• the fifth shaft (16) being continuously connected to the ring gear of the second planetary gear set (5) and the sun gear of the third planetary gear set (6) and the fifth shaft (16) being connectable, via the second clutch (12), to the output shaft (3;
• 20);
• and
• the sixth shaft (17;
• 26) being continuously connected to the ring gear of the first planetary gear set (4).