I'm currently going through Blockfrost documentation and trying to figure out if there is a way to fetch block load for each day.
Seems like they don't have such option, in that case: Is there a way to calculate block load?
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No Blockfrost endpoint retrieves this information.
As per this tweet, the current size of blocks is 88KB.
So, you can calculate the % of block load for each block this way:
( cardano_node_metrics_blockfetchclient_blocksize / (88 * 1024) ) * 100
This is a very useful link on how to setup the Grafana Dashboard: https://developers.cardano.org/docs/stake-pool-course/handbook/grafana-dashboard-tutorial/
Since you're looking for a way without running a node, example using Koios (am sure blockfrost offers similar endpoints too):
Max size of block from current protocol can be found using epoch_params
I am not sure if I fully understand the term
block load , but I assume you mean average size of blocks for a specific time range. You can get a filtered list of size and time using blocks endpoint, the list is - ofcourse - paginated, which you can find an average of.