Install an app on android without SD card
One method to install an application without SD card is to use ADB tool (Android Debug Bridge). It's a tool for development. It will let you install your apk file using console.

What you have to do:


Install ADB tool to your computer
Connect your device to your computer with a cable
Copy apk file you want to install to the folder where your ADB tool is. In this folder you have to find adb file.
Start your console - Terminal (on Linux) or Command Prompt (on Windows)
From your console you have to go to the folder in #3 - To do this use cd command
Type command "adb devices" - you have to see that your device is connected.
Type command "adb install myApplication.apk"