It is hypothesized that the only acceleration that can be tolerated for looong time without side effects is the normal acceleration. Human subjects have been exposed to continuous high-G environment at most for seven days at 1.5 G. Although no immediate ill effects were found, extrapolation of the data to longer periods may be dangerously risky.
Relevant PubMed abstracts:
https://www.ncbi.nlm.nih.gov/pubmed/23926661
https://www.ncbi.nlm.nih.gov/pubmed/11542364
https://www.ncbi.nlm.nih.gov/pubmed/591467
I have not found any studies of chronic high-G exposure (beyond 1 hour limit). However, our esteemed fellow user cites Claude Piantadosi from Duke U.'s Center for Hyperbaric Medicine and Environmental Physiology.
Human G tolerance, like other physiological strains, is limited by different physiological factors at different levels of G stress.
There may be astronauts who can tolerate higher accelerations (and indeed, there have been tests subjecting humans to a week-long 1.5G regimen), but you don't want to stress cardiovascular system without need. If you can provide standard 1-g environment, you should do that.
Source: NASA-STD-3001 VOL 2.
Rationale: The limits in these figures represent safe levels of
sustained translational acceleration under nominal and off-nominal
conditions. Exposure to acceleration above these limits could
significantly affect human performance for maneuvering and interacting
with a spacecraft. The limits for return to Earth are lower than
launch limits because crewmembers could have degraded capabilities
because of deconditioning from exposure to reduced gravity. For the
extreme conditions of a launch abort or emergency entry, limits are
higher because it may be necessary to expose the crew to accelerations
more severe than those experienced nominally. Humans are never to be
exposed to translational acceleration rates greater than these
elevated limits, as this significantly increases the risk of
incapacitation, thereby threatening crew survival. In using figures 2
through 6, the acceleration vectors are relative to the “axis” of the
upper body, particularly with a focus on a line running from the eye
to the heart. However, the acceleration limit charts do not account
for all body types or temporary off-axis accelerations or body
positions. This is why the limits are set conservatively. Therefore,
brief excursions past the limits in one axis should be reviewed and
may be found to be acceptable.

Data for Curves

Figure 2 — +Gx Sustained Translational Acceleration Limits

Data for Curves

Figure 3 — -Gx Sustained Translational Acceleration Limits

Data for Curves

Figure 4 — +Gz Sustained Translational Acceleration Limits

Data for Curves

Figure 5 — -Gz Sustained Translational Acceleration Limits

Data for Curves

Figure 6 — ±Gy Sustained Translational Acceleration Limits
6.5.2 Rotation Limits
6.5.2.1 Rotational Velocity [V2 6065]
The system shall limit crew exposure to rotational velocities in yaw, pitch, and roll
by staying below the limits specified in figure 7, Rotational
Velocity Limits.
Rationale: The limits in this figure represent safe levels of sustained rotational acceleration for crewmembers under nominal and
off-nominal conditions. Exposure to rotational acceleration above
these limits could significantly affect human performance for
maneuvering and interacting with a spacecraft. The limits for return
to Earth are lower than launch limits because crewmembers could have
degraded capabilities because of deconditioning from exposure to
reduced gravity. For the extreme conditions of a launch abort or
emergency entry, limits are higher because it may be necessary to
expose the crew to accelerations more severe than those experienced
nominally. Humans are never to be exposed to rotational acceleration
rates greater than these elevated limits as this significantly
increases the risk of incapacitation, thereby threatening crew
survival.
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