In an application such as this, it first helps to define "failure". It has been my experience that excessive movement can occur before a stake actually fails. Depending upon the angle of the brace, form movement away from the stake can pull the stake from the ground. That movement can be the cause of an out-of-tolerance wall, which can result in costly repair or replacement.
Concrete deadman can be an excellent brace-to point, but depending upon the ground surface properties, they can slide on the ground due to brace loads. I have found that deadmen behave better when "shimmed" with a rough surfaced block at all four corners. This concentrates the load applied to the ground, increasing the frictional resistance and reducing any tendency to slide.
I know of no way to quantify a safe working load for a 2x4 stake driven into the ground. It would be very dependant upon the soil and compaction properties at each location of a stake.
Ralph
Structures Consulting
Northeast USA