Da mein Ellbogen nach dem Sturz noch weh tut, trage ich die Tasche heute mit der linken Hand.

No. In this sentence, da does not mean there.

Here, da means since or because:

• Da mein Ellbogen nach dem Sturz noch weh tut, ... = Since/Because my elbow still hurts after the fall, ...

German da can have different meanings depending on context:

• da = there in some situations
• da = since/because in others

At the start of a sentence like this, it is very often a conjunction meaning because or since.

Because da mein Ellbogen nach dem Sturz noch weh tut is a subordinate clause.

In German, subordinate clauses send the conjugated verb to the end.
So:

• mein Ellbogen tut noch weh = main clause
• da mein Ellbogen noch weh tut = subordinate clause

That is why tut comes last in that clause.

Because the sentence begins with the subordinate clause.

German main clauses usually put the conjugated verb in second position. When the first position is taken by an entire clause, the verb still has to come second:

• Da mein Ellbogen nach dem Sturz noch weh tut, trage ich ...

Structure:

1. Da mein Ellbogen nach dem Sturz noch weh tut = first position
2. trage = verb in second position
3. ich = subject comes after the verb

Compare:

• Ich trage die Tasche heute mit der linken Hand.
• Da mein Ellbogen ... weh tut, trage ich die Tasche heute mit der linken Hand.

This is a very common pattern in German.

Wehtun is a separable verb.

Its basic form is:

• wehtun = to hurt

When it is conjugated in a main clause, it separates:

• Mein Ellbogen tut weh. = My elbow hurts.

In a subordinate clause, the separated parts come back together at the end area:

• ..., weil mein Ellbogen weh tut.
• ..., da mein Ellbogen weh tut.

So weh is the separable prefix-like part, and tut is the conjugated form of tun.

Here, noch means still.

• mein Ellbogen tut noch weh = my elbow still hurts

It shows that the pain continues at the present time.

So the speaker is saying the elbow has not recovered yet.

Because nach takes the dative case here.

• der Sturz = the fall (nominative)
• nach dem Sturz = after the fall (dative)

So:

• nach
  • dative

That changes der to dem:

• der Sturz
• nach dem Sturz

This is a very common preposition pattern in German.

Yes. Weil would also be natural here.

• Da mein Ellbogen nach dem Sturz noch weh tut, trage ich die Tasche heute mit der linken Hand.
• Weil mein Ellbogen nach dem Sturz noch weh tut, trage ich die Tasche heute mit der linken Hand.

Both mean because.

A small nuance:

• weil is often the most direct everyday word for because
• da can sound a little more formal, written, or explanatory, and sometimes closer to since

But in this sentence, both are correct and natural.

Because mit always takes the dative case.

• die linke Hand = nominative/accusative
• mit der linken Hand = dative

So:

• mit
  • dative
• die becomes der
• linke becomes linken

That gives:

• mit der linken Hand = with the left hand

German often uses the definite article where English might prefer a possessive like my.

So German commonly says:

• mit der linken Hand
• literally: with the left hand

Even though English often says:

• with my left hand

Because the context already makes it clear whose hand it is, German does not need meiner here.

You could say mit meiner linken Hand, but it is less neutral and may sound more explicitly possessive or emphatic.

Die Tasche is in the accusative case because it is the direct object of tragen.

• tragen = to carry
• What am I carrying? die Tasche

Since Tasche is feminine, the article is:

• nominative: die
• accusative: die

So the form looks the same here, even though the function is accusative.

Tragen means to carry or to wear, depending on context.

Here it means to carry:

• Ich trage die Tasche. = I’m carrying the bag.

It is used because the speaker is physically holding and carrying the bag.

So the sentence means that because the elbow still hurts, the speaker is carrying the bag with the left hand today.

Yes, heute can move, but its position affects emphasis slightly.

In the given sentence:

• ..., trage ich die Tasche heute mit der linken Hand.

This is natural and clear.

You could also say:

• ..., trage ich heute die Tasche mit der linken Hand.
• Heute trage ich die Tasche mit der linken Hand, da ...
  (different structure and emphasis)

German word order is flexible, but not random. The usual rule is that the conjugated verb stays in second position in a main clause, while other elements can move around for focus.

In this sentence, heute sounds very natural where it is.

Yes. Der Ellbogen is a standard German word for elbow.

You may also see the spelling:

• Ellenbogen

Both exist, but Ellbogen is common and correct.

So:

• mein Ellbogen = my elbow

Because mein Ellbogen is the subject of the subordinate clause.

The subject is in the nominative case:

• mein Ellbogen tut weh = my elbow hurts

If it were a direct object, then you might see meinen Ellbogen instead. But here the elbow is the thing doing the hurting, grammatically speaking, so it is the subject.

Yes, but tut weh is more common in everyday speech.

Compare:

• Mein Ellbogen tut weh. = very common, everyday
• Mein Ellbogen schmerzt. = correct, but often a bit more formal or literary

So the sentence uses the more natural conversational phrasing.

It has two parts:

1. Da mein Ellbogen nach dem Sturz noch weh tut

   • subordinate clause
   • gives the reason

2. trage ich die Tasche heute mit der linken Hand

   • main clause
   • gives the result/action

So the overall pattern is:

• Because X, I do Y.

More literally:

• Since my elbow still hurts after the fall, I’m carrying the bag today with my left hand.