x=10 A fabric used in air-inflated structures is subjected to a biaxial loading that results in…

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Question “x=10 A fabric used in air-inflated structures is subjected to a biaxial loading that results in…”

x=10

A fabric used in air-inflated structures is subjected to a biaxial loading that results in normal stresses o x = (15*X) MPa and o, = (2*x+145) MPa. Knowing that the properties of the fabric can be approximated as E = 115 GPa and v = 0.25, determine the change in length of: A) Side AB B) Side BC C) diagonal AC y 100 mm 75 mm D 7777

Answer

Given:

Part A.)

That is what we know.

Strain in the x direction.

now,

PART B.)

That is what we know.

Strain in the x direction.

now,

PART C.)

To fine-tune the length of the diagonal AC, we will use Pythagoras’s theorem:

Initial length of diagonal before stress induction

After stress application, the final length of the diagonal is:

Hence,

Conclusion

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