3.2 Given a wedge-shaped stress element in the figures below and trigonometric identities, use equations of equilibriu

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3.2 Given a wedge-shaped stress element in the figures below and trigonometric identities, use equations of equilibriu

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3.2 Given a wedge-shaped stress element in the figures below and trigonometric identities, use

equations of equilibrium to derive the transformation equations for plane stress. (10)


π‘π‘œπ‘ 2πœƒ =

1

2

(1 + cos 2πœƒ), 𝑠𝑖𝑛2πœƒ =

1

2

(1 βˆ’ π‘π‘œπ‘ 2πœƒ), sin πœƒ cos πœƒ =

1

2

sin 2πœƒ

(30)

TOTAL:
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