2 Esfuerzos en un punto

Prévia do material em texto

Ing. Juan D. Rodríguez 
 
 𝑉(𝑥, 𝑦, 𝑧, 𝑡)[𝑚/𝑠] = (6𝑥𝑦2 + 𝑡)𝑖̂ + (3𝑧 + 10)𝑗̂ + 20�̂�
 𝑉[𝑚/𝑠] = (6𝑥𝑡 + 𝑦2𝑧)𝑖̂ + (3𝑥𝑦2 + 𝑡2 + 𝑦)𝑗̂ +
(2 + 3𝑡𝑦)�̂�
 
𝜏𝑥𝑥 = 2000𝑃𝑎, 𝜏𝑥𝑦 = 500𝑃𝑎, 𝜏𝑥𝑧 = 1000𝑃𝑎
 
 
𝜏𝑧′𝑥
𝜏𝑖𝑗 = [
2500 500 1000
500 4000 3000
1000 3000 −1000
] 𝑝𝑠𝑖
 𝑑 = {4, 6,0}
 𝜏𝑖𝑗
 
�⃗⃗� =
{0.6, 0.8, 0}
𝜏𝑖𝑗 = [
2500 500 1000
500 4000 3000
1000 3000 −1000
] 𝑝𝑠𝑖
A 
C 
B 
= 30° 
 
Ing. Juan D. Rodríguez 
 
 
 
𝜏𝑖𝑗 = [
21𝑥 + 10 −5𝑥2 0
5𝑥2 18𝑦2 + 6𝑥𝑦 0
0 0 12𝑧2 + 3𝑦𝑥 + 20
] 𝑀𝑃𝑎
 
𝑒 =
{0.95, 0.32,0}
 
sin(𝑑𝜃/2) (𝑑𝜃/2)
cos(𝑑𝜃/2) 𝑝𝑜𝑟 1.