Most of our app teams need access to either Server/app logs an they do not have a  use account to access themselves.

I need to set up a log_share where I  want these logs to copied over on a schedule. I have a linux box that I can use for this purpose.  I have ideas about  using cron for scheduling a job to copy the logs. Not Sure what should I include in the script that would successfully copy, I also need to consider how would my log server would authorize with the different hosts.

Can you please help me get started on this?

check if you can use 'rsync' between two servers. then you can schedule cronjob for rsync.

setup apache on the log server.
Create virtual hosts with different logroots pointing to different application logs.
If required .. setup up simple authentication

Thank you Joseph, I will try this.