How to Get a Partial Attachment URL?

Hello.

How can I get only a part of the URL of a post attachment?

For example, the normal attachment URL would be like: https://www.domain.com/wp-content/uploads/year/month/attachment.ext

I need to get only from the uploads directory on, like this:

uploads/year/month/attachment.ext

…so that I can include the URL in my theme.

Is there a way to get only a part of the URL with a function like wp_attachment_image_url?

Please help.

I want to include part of the post in a part of the theme separate from the the_content part. i.e. the_content will be in a different table cell etc…