Arduino Uno, BLE Bluetooth Shield and Braccio Arm Shield
Be aware that the BLE Shield is using  a SPI interface therefore on Arduino Uno the SPI bus uses pins 10 (SS), 11 (MOSI), 12 (MISO), and 13 (SCK) and the Nordic’s ACI requires two hand-shake signals, RDYN and REQN, two additional pins will be used (pins 8 &amp; 9 in the default settings), from BLEshield
Therefore the BLE shield uses 6 pins e the Braccio uses almost all Arduino Uno pins. 
Conclusion, you probably can't have both shields together as the Arduino Uno hasn't enough pins.

You can try an Arduino MEGA and adapt the shields connections wiring them together using different pins for the Braccio interface for example