This phrase is correct and usable in written English.
You could use it to convey the idea of attempting something difficult or ambitious. For example, "He strived to strike the perfect balance between work and leisure."
The mixer strives to strike the right dramatic balance between dialogue, music, and effects and to avoid monotony.
Premier League leaders Arsenal are among three clubs striving to strike a deal for Benfica forward Rodrigo before the end of the January transfer window, according to reports.
As another activist, Angelina Grimke, put it, "In striving to strike the slave's chains off, we found most surely, that we were chained ourselves".
"In striving to strike [the slave's] irons off," the Quaker activist Abby Kelley wrote, "we found most surely that we were manacled ourselves".
Third-generation leaders such as Deng Xiaoping strived to strike a balance between professional competence and communist zeal, he wrote in a 2010 report called Changing of the Guard.
"We are striving to strike a balance where cost-cutting measures can be implemented but do not destroy the fabric of the playing squad to the extent it will inhibit the prospect of a sale," Whitehouse said.
With Camrys, Malibus, Accords, Passats and Sonatas all striving to strike an optimal — if not terribly stirring — balance of fuel economy, sound driving dynamics and premium features at a reasonable price, it's a huge challenge by any measure.
Laurel Touby, founder and chief executive of Mediabistro.com, a Web site that offers services to media professionals, strives to strike the right tone in e-mail messages to her audience, which she describes as knowledgeable and "oversaturated" with marketing messages.
