• A soil particle is found to be subjected to a maximum stress
of 14.6 kN/m2, and a minimum stress of -4.18 kN/m2. Find
by using the analytical method the σ and τ on the place of
ϴ = 50° with respect to the major principal stresses, and
also find τmax.
Givens:
𝝈𝟏 = 𝟏𝟒. 𝟔
𝝈𝟐 = 𝟒. 𝟏𝟖
Requirement:
𝒌𝑵
1. 𝝈
𝒎𝟐
𝒌𝑵
2. τ
𝒎𝟐
ϴ = 50°
Answer:
tan(2 ∗ 50) =
2𝜏𝑥𝑦
14.6+14.18
τxy=-81