Q:

What are the consequences if the House of Representatives condemns Trump? 

The US House of Representatives is preparing to vote to condemn Donald Trump for the tweets he wrote this week regarding several Congresswomen, which have been widely characterized as racist.  Are there any real ramifications of this action, or is it a purely symbolic act?  The vote is expected to go along party lines, so it may seem like mostly a political statement. 
For those complaining about my characterization of the tweets, it's in the title of the resolution:

Condemning President Trump's racist comments directed at Members of Congress. 

The tweet that started this controversy was:

So interesting to see “Progressive” Democrat Congresswomen, who originally came from countries whose governments are a complete and total catastrophe, the worst, most corrupt and inept anywhere in the world (if they even have a functioning government at all), now loudly nd viciously telling the people of the United States, the greatest and most powerful Nation on earth, how our government is to be run.  Why don’t they go back and help fix the totally broken and crime infested places from which they came.  Then come back and show us how it is done.  These places need your help badly, you can’t leave fast enough.  I’m sure that Nancy Pelosi would be very happy to quickly work out free travel arrangements! 

3 of the 4 Congresswomen he refers to were born in America, so his suggestion that they "go back ... from which they came" is also ignorant. 
Link to the resolution condemning Trump

A:

It's symbolic with a political twist.  Picture three scenarios:

A significant number of Republicans acknowledge that yeah, Trump's tweets were basically racist and ought to be condemned.  This case will weaken Trump's position significantly, in that it'll show Republicans no longer supporting him. ( Unlikely IMHO.) 
A significant number of Republicans instead abstain.  In this case they'll get accused by critics of basically not having a spine, to say nothing of a moral compass. 
A significant number of Republicans vote against condemning Trump.  In this case they'll get accused by critics of not having a moral compass, or of behaving like Trump yes-men. 

Any way it goes, the vote will make Trump and/or the Republicans look bad. ( To critics, anyway; I assume things could look good to the target audience in the 3rd scenario.)