Talaş budağın yanında birikti.

Talaş usually means sawdust, wood shavings, or small wood chips.

In a sentence like this, it refers to the material that has gathered or piled up. It is a singular-looking noun in Turkish, but like many mass nouns in English, it can refer to a substance in general rather than one single countable item.

Budak can mean a knot in wood, a gnarl, or sometimes a branch stub / woody protrusion depending on context.

So budağın yanında means something like next to the knot / branch stub / protruding branch. If your provided meaning says branch, that is the intended sense here, even though dal is often the more common everyday word for branch.

Because it is in the genitive case.

Here is the breakdown:

• budak = branch / knot
• budağın = of the branch / branch's

Turkish often uses this pattern with location expressions like yanında:

• X-in yanında = next to X, literally at X's side

So:

• budağın yanında = at the branch's side = next to the branch

Also, the final k in budak changes to ğ before a vowel-initial ending:

• budak
  • -ın → budağın

This kind of consonant softening is very common in Turkish.

Yanında literally means at its side or by its side.

It can be broken down like this:

• yan = side
• -ı = its
• -nda = in/on/at (with a buffer n)

So:

• yanı = its side
• yanında = at its side

When you put that after a genitive noun, you get a very common Turkish pattern:

• budağın yanında = at the branch's side = next to the branch

Because Turkish often expresses relations like next to, in front of, behind, and under with noun-based postpositional expressions.

A few common patterns are:

• evin yanında = next to the house
• masanın üstünde = on the table
• kapının önünde = in front of the door
• arabanın arkasında = behind the car

So instead of one separate preposition like English next to, Turkish commonly uses:

• a noun in the genitive
• plus a relational noun such as yan (side)
• plus a possessive and case ending

This is a very normal and important Turkish structure.

Birikti comes from the verb birikmek, which means:

• to accumulate
• to collect
• to pile up

So birikti means:

• accumulated
• collected
• piled up

It is in the simple past tense and is third person singular.

Breakdown:

• birik- = accumulate / pile up
• -ti = past tense

The subject is talaş, so the whole sentence means that the sawdust accumulated / piled up next to the branch.

Birikmek is usually intransitive.

That means the thing doing the accumulating is itself the subject:

• Talaş birikti. = The sawdust accumulated.

If you want to say that someone caused something to pile up, Turkish usually uses a causative form, such as biriktirmek:

• Adam talaşı budağın yanında biriktirdi. = The man piled up / accumulated the sawdust next to the branch.

So in your sentence, no outside agent is mentioned. The meaning is simply that the sawdust gathered there.

Because verb-final order is the normal pattern in Turkish.

This sentence follows a very common structure:

• Talaş = subject
• budağın yanında = location
• birikti = verb

So:

• Talaş budağın yanında birikti.

This is a natural, neutral order.

Turkish word order can change for emphasis, though. For example:

• Budağın yanında talaş birikti.

This still means basically the same thing, but it gives a little more focus to the location next to the branch.

Because -da / -de marks location, while -a / -e often marks direction toward something.

Compare:

• yanında = at / by / next to
• yanına = to / toward the side of / to next to

In this sentence, the focus is on where the sawdust was accumulated, so yanında is the straightforward choice.

Very roughly:

• budağın yanında = next to the branch
• budağın yanına = to the side of the branch / to next to the branch

English often uses next to for both location and result, but Turkish distinguishes these more clearly.

Because Turkish does not have definite articles like English the.

So talaş can mean:

• sawdust
• the sawdust

And budağın yanında can mean:

• next to the branch
• at the side of the branch

The exact English wording depends on context.

Turkish often leaves definiteness to be understood from the situation rather than marking it with a separate word.