Question

If you skill swap Sturdy onto Shedinja will you be Sturdy every turn?

Answer 1

In Generation V, if Sturdy were obtained on Shedinja through using a move like Worry Seed on Shedinja to allow Sturdy to be Skill Swapped, it would be able to activate for every attack, including every hit of a multi-strike move. However, indirect damage, such as sandstorm, will not activate Sturdy, and will KO Shedinja.

Source

Answer 2

"In Generation V onward, if a Shedinja has Sturdy (for example, being hit by Worry Seed followed by Skill Swap with something with Sturdy) it can survive any direct attack. However, indirect damage, such as sandstorm, will bypass Sturdy and KO Shedinja."

Source: http://bulbapedia.bulbagarden.net/wiki/Shedinja

Hope I helped :)