Height-Adjustable Seatpost with Suspension Function

A bicycle frame having a seatpost comprising:

• an upper tube having an upper end and a lower end, wherein a saddle is fastenable to the upper end, and
• a lower tube, in which the lower end of the upper tube is mounted telescopically in a plunging configuration, wherein the lower tube is couplable to the bicycle frame and/or can be integrated into the bicycle frame, wherein
• a gas spring is provided which couples the upper tube to the lower tube such that the upper tube can be mounted elastically in terms of a position of the upper tube relative to the lower tube, wherein the gas spring has a piston, having a push rod attached to the piston, and has a pressure housing, which forms a chamber in which the piston is mounted,
• the push rod is connected to the upper tube and the pressure housing is connected to the lower tube, and
• the pressure housing forms a cylinder which is separate from the lower tube and which is mounted coaxially in the lower tube and fixedly connected to the lower tube.

A bicycle having a frame and a seatpost comprising

• an upper tube having an upper end and a lower end, wherein a saddle is fastenable to the upper end, and
• a lower tube, in which the lower end of the upper tube is mounted telescopically in a plunging configuration, wherein the lower tube is couplable to the frame of the bicycle and/or can be integrated into the frame of the bicycle, wherein
• a gas spring is provided which couples the upper tube to the lower tube such that the upper tube can be mounted elastically in terms of a position of the upper tube relative to the lower tube, wherein the gas spring has a piston, having a push rod attached to the piston, and has a pressure housing, which forms a chamber in which the piston is mounted,
• the push rod is connected to the upper tube and the pressure housing is connected to the lower tube, and
• the pressure housing forms a cylinder which is separate from the lower tube and which is mounted coaxially in the lower tube and fixedly connected to the lower tube.