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Authors use full stop inside the quotation mark. To me this is strange.
Example: The story told above directs our attention to "modernism."
Here we quote modernism and the full stop should be after the quotation mark because as its name is self explanatory, a full stop is a full stop and should stop the sentence. Why the quotation mark is stopping the sentence?
Comments  
"Place commas and periods inside, not outside, quotation marks. Place all other punctuation outside quotation marks unless it was contained in the original source. Follow this practice whether or not the comma is part of the original quotation. The general rule is that commas and periods should be inside the quotation marks at all times, while all other forms of punctuation, such as question marks, colons, semicolons, and exclamation points, should be outside the quotation marks, unless they were contained in the original quotation. "

Yes but what is the logic behind? I dont see the logic!
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"I dont see the logic!"

This is something you have to accept, rather than understand.

This works like this, and that is that Emotion: wink
The story told above directs our attention to "modernism."

The full stop should be outside the quotation marks.
This is indeed my question.

Check sentences like this anywhere. They place the full stop inside the quoiation mark which i dont understand.

Without exception this goes like this.
Students: Are you brave enough to let our tutors analyse your pronunciation?
"The story told above directs our attention to 'modernism.' The full stop should be outside the quotation marks."

?
The full stop goes inside the quotation mark if the quote is finished.

Everything inside the quotation marks is what is being quoted.

For instance:

"I love taking photographs," she muses, "but, sometimes I can take too many."

The full sentence was:

I love taking photographs, but sometimes I can take too many.

The first quote ends with a comma because it is not yet finished, and the second a full stop for when the sentence comes to an end.

You never place anything outside of quotation marks.

Inchoateknowledge your line:
"The story told above directs our attention to 'modernism.' The full stop should be outside the quotation marks."

is INCORRECT.

It should say:

"The story told above, directs our attention to 'modernism'. The full stop should be outside the quotation marks."

That sentence is correct, but a full stop should NEVER be outside of quotation marks.
SINGLE quotation marks are not the same as DOUBLE ones - do not confuse them.