Phone showing picture of charging cable but will not turn on

Hello,

Check the charging port for lint or other debris (use a bright light and a toothpick).

If your iPhone, iPad, or iPod touch won‘t charge

Also try:

1. Press and quickly release the volume up button.
2. Press and quickly release the volume down button.
3. Press and hold the side button until you see the Apple logo (could be as long as 30 seconds) 

The timing is a little critical, you may have to try it several times. See this for more detail:

If your iPhone, iPad, or iPod touch won‘t turn on or is frozen

Good luck.

My iPhone shows picture of charging cable but will not turn on