3.2 Given a wedge-shaped stress element in the figures below and trigonometric identities, use equations of equilibriu
Posted: Thu Jun 02, 2022 10:05 am
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)
𝑐𝑜𝑠2𝜃 =
1
2
(1 + cos 2𝜃), 𝑠𝑖𝑛2𝜃 =
1
2
(1 − 𝑐𝑜𝑠2𝜃), sin 𝜃 cos 𝜃 =
1
2
sin 2𝜃
(30)
TOTAL:
equations of equilibrium to derive the transformation equations for plane stress. (10)
𝑐𝑜𝑠2𝜃 =
1
2
(1 + cos 2𝜃), 𝑠𝑖𝑛2𝜃 =
1
2
(1 − 𝑐𝑜𝑠2𝜃), sin 𝜃 cos 𝜃 =
1
2
sin 2𝜃
(30)
TOTAL: