The phrase "accepting the burden" is correct and usable in written English.
It can be used when discussing the act of taking on responsibility or dealing with a difficult situation.
Example: "He showed great strength by accepting the burden of caring for his ailing parents."
Alternatives: "taking on the responsibility" or "shouldering the load."
Understanding and accepting the burden of leadership makes one a captain.
When the Knicks clinched their playoff spot, Mike D'Antoni sought out Stoudemire in the locker room to thank him for accepting the burden of transforming a diminished franchise.
"Forgive me for being your child," he says in the play's last line, accepting the burden of guilt that should belong to them, and thereby reinforcing their pattern of denial.
Again, this amounts, for the challenger, to accepting the burden of the formal restriction in a subdialogue where he will defend the (validity of the) formula.
The criminal law benefits all citizens by protecting them from certain kinds of harm: but this benefit depends upon citizens accepting the burden of self-restraint involved in obeying the law.
Their assertion is that although such a behavior looks altruistic, indeed it is not – by accepting the burden, the performer reliably indicates its high quality, thus gaining a prestige which increases its reproductive success.
It is in the name of sanity that reasonable men and women will insist on having the answers to these questions that have been raised by Senator D'Amato and the Consumer Federation of America before they let themselves be stampeded into accepting the burdens of an oil-import tax.
What the criminal deserves to suffer is the loss of her unfair advantage, and she deserves that because it is unfair that she should get away with taking the benefits of the law without accepting the burdens on which those benefits depend; it is the state's job to inflict this suffering on her, because it is the author or guarantor of the criminal law.
