The country's first female prime minister governed in periods of violent unrest and economic hardship.
The epicentre of the earthquake was about 30 kilometres (18.6 miles) from the capital, Dhaka.
At least 31 people were killed, many of them schoolchildren, when a fighter jet crashed into a school in Dhaka.
They were being treated for injuries they say were sustained after police tortured them in detention.
At least 150 people have been killed - some of those caught up in the bloodshed describe what happened.
Authorities say the army will be deployed to halt unrest, after a prison was attacked on Friday.
A High Security Alert has been issued for the whole of Bangladesh, as violent clashes between students and police continue.
Protesters demand a merit-based system for high-paying government jobs to replace the current quota allocations.
Dozens were killed and many injured after a blaze tore through a seven-storey building in the Bangladesh capital.