Planetary gear train of automatic transmission for vehicle

A planetary gear train apparatus of an automatic transmission for a vehicle, comprising:

• an input shaft receiving an engine torque;
• an output shaft outputting a shifted torque;
• a first planetary gear set having a first rotation element, a second rotation element, and a third rotation element;
• a second planetary gear set having a fourth rotation element, a fifth rotation element, and a sixth rotation element;
• a third planetary gear set having a seventh rotation element, an eighth rotation element, and a ninth rotation element;
• wherein a fourth planetary gear set having a tenth rotation element, an eleventh rotation element, a twelfth rotation element, and a thirteenth rotation element,
• the first rotation element is fixedly connected to the seventh rotation element,
• the second rotation element is fixedly connected to the input shaft,
• the third rotation element is selectively connectable to a transmission housing,
• the fourth rotation element is fixedly connected to the ninth rotation element, and selectively connectable to the transmission housing,
• the fifth rotation element is fixedly connected to the twelfth rotation element,
• the sixth rotation element is selectively connectable to the transmission housing,
• the eighth rotation element is fixedly connected to the tenth rotation element, and selectively connectable to the second rotation element and the third rotation element,
• the eleventh rotation element is fixedly connected to the output shaft, and
• the thirteenth rotation element is selectively connectable to the seventh rotation element.