Angular tightening implies tightening to yield,
This technique involves tightening to an initial "snug" torque followed by a known angular rotation which produces a fairly consistent axial load to just above the yield point of the material. This is now a standard aftermarket means of tightening to yield.
This means that the fastener takes on a permanent extension, and uses the fastener most efficiently, but is why some manufacturers insist that the fasteners are not re used.
Many years ago whilst involved in commissioning, what was at the time, the worlds largest multi spindle yield tightening machine, we spent several months repeatedly checking each of the 32 spindles. The end result was that W range, 1/2 UNF bolts were put into yield with a tensile load of 9 tons, and took on a permanent stretch of 0.001" at each tightening. It was considered that these fasteners could be reused, before needing replacement. During the trials, we found, like other manufacturers, that the lubrication needed to be controlled; although not as closely as our suppliers first feared).
Tightening to a torque, or by torque plus angle, whilst departing from the specified lubrication conditions, or the fastener material specification, will cause problems, either in too low a clamp load, or by overloading the fastener.
The load in the fastener can be measured using a load cell. This is effectively the same as fitting strain gauges to the fastener, since they are contained within the load cell.
On very large fasteners, where torques would be so large as to be difficult, or impossible, to apply, it is common practice to use hydraulic nuts, such as "Pilgrim" nuts. Here the load is applied by a hydraulic pressure calculated on the basis of the dimensions of the nut, to extend the nut to apply the required axial load, and then maintained by tightening another nut onto it.
Howard