It would not be dangerous for the bridge if the four strings you select to produce that tuning have about the same tension (measured in lbs or kg) as the strings used for standard tuning.
The D'Addario string company publishes an elaborate reference guide for all the strings they sell for guitars and a few other instruments. You can download the PDF of this guide here.
Here is their explanation of the calculations involved:
Understanding what determines string tension.
In order to determine
the tension at which a string will vibrate, you need three pieces of
information: the Unit Weight, the Scale Length, and the Frequency of
the string. You can use
the formulas below to calculate the exact tension for any string using
the scale length of your particular instrument. All of the charts
illustrate string tensions for each string at a variety of pitches, in
case you use alternative tunings.
UW- Unit Weight.
In all the charts and formulas in the brochure, unit
weight is expressed in pounds per linear inch (lb/in).
L- Scale Length. This is the vibrating length of the string. This is determined
by measuring the distance from the nut to the bridge of the instrument
in inches (in).
F- Frequency or pitch. This is the pitch at which you
will be tuning the string expressed in cycles per second (Hertz).
calculate the tension of a string in pounds use the formula below,
inserting the three variables described above:
x (2 x L x F)^2)/386.4
To convert the result into Newtons, simply multiply
If you know what tension you want the string to have, you can
calculate the string unit weight. You can then use the charts in this
guide to locate a string with approximately the same desired unit
UW(unit weight)= (T x 386.4)/(2 x L x F)^2
Read the actual PDF for more information.