A packaging machine for wrapping a flexible web around an assembled load in a wrapping station consists of a wrapping mandrel which is located in the wrapping station and a web dispenser for dispensing a web into the wrapping station and a wrapper mechanism which grasps the leading end of the web and pulls it around the mandrel. The web is cut after it has been wrapped around the mandrel. The dispenser mechanism which dispenses a web of flexible material from a coil includes a coil support and a belt drive which engages the coil and serves to rotatably drive the coil to dispense the web from the coil support. The shipper package which is formed in the machine consists of an assembled load and a wrapper which is wrapped around the assembled load. A first tear tape is attached to the outer face of the web and a second tear tape is attached to the inner face of the web in an underlying relationship with respect to the first tear tape. The second tear tape is narrower than the first tear tape such that when the second tear tape is pulled it will tear the package along tear lines which will follow the side edges of the second tape to provide a controlled tear propagation.