What do you mean by shut on ?
If your laptop works fine while plugged in but stops working while unplugged it's likely that either your laptop battery is bad or your laptop is not charging the battery properly.
Below are steps that can be taken to help identify the cause of this issue. Leave power plugged in
Make sure the computer has been charging from the power plug for at least two hours before attempting to unplug it. Remove and reconnect battery
In some situations the battery can become loose.
Removing it and then put it back into the laptop. Third-party utility
Use a third-party battery utility to determine the total capacity of the battery. For example, BatteryCare
is a free software utility capable of doing this. Replace battery or AC adapter
If your computer is still in warranty we suggest skipping to the next step.
If the above steps have been completed, we suggest replacing the battery in the computer or AC adapter. In most situations it's a bad battery. Restart your computer repeatedly tapping the f8 key to enter safe mode while the screen is black once in safe mode where the only things working will be your keyboard and mouse allowing you to attempt to repair your computer
If done properly the user should get to a screen similar to the below screen. Select the option for Safe mode command prompt only Windows Advanced Options Menu
Please select an option: Safe Mode
Safe Mode with Networking
Safe Mode with Command Prompt Enable Boot Logging
Enable VGA mode
Last Known Good Configuration (your most recent settings that worked)
Directory Services Restore Mode (Windows domain controllers only)
Debugging Mode Start Windows Normally
Return to OS Choices Menu Use the up and down arrow keys to move the highlight to your choice. To perform a system restore, follow these steps:
, click Run
, type msconfig, and then click OK.
2.On the General
tab, click Launch System Restore
3.Select Restore my computer to an earlier time
, and then click Next
4.Calendar dates in bold are possible restore points. Click the most recent one to view system restore information.
5.Select a system checkpoint or an installation restore point, and then click Next
6.Close all other programs.
7.To start the system restore, click Next
8.Your computer restarts.
Repeat steps 1 through 8 until you fix your configuration issue.
if it does not start in safe mode it could well be a hardware problem
Check all power and data leads from motherboard to hard drive and all of your cd/dvd drives make sure connections are secure dust free and not faulty computers need all power and data to travel through every working device and to finish its cycle so any faulty lead will end in computer error or shutdown / fail to boot or to reboot on a cycle make sure your computers RAM modules are securely seated with no dust in the sockets also the Cmos battery has charge and seated with no dust in the sockets some motherboards cmos batteries are soldered in might be getting hot check you CPU make sure its securely seated and has thermal grease http://www.hardwaresecrets.com/article/Thermal-Compound-Roundup-February-2012/1490
or it might even be a virus until you have your laptop up and runing you wont be able to run your antivirus software.
Hope this helps