3. Given the following stress functions, = 3x² + 3y² − σ₁ = 3y² o₂ = 3x+y-z+ 6x = -Z Tay=z-6xy-² T₁₂ = x+y= ²/ Tyz=0 (a) show that the above stress state is in equilibrium (b) for the stress state at point x = 1/2, y = 1, and z = 3/4, determine the principal stresses.

3. Given the following stress functions, = 3x² + 3y² − σ₁ = 3y² o₂ = 3x+y-z+ 6x = -Z Tay=z-6xy-² T₁₂ = x+y= ²/ Tyz=0 (a) show that the above stress state is in equilibrium (b) for the stress state at point x = 1/2, y = 1, and z = 3/4, determine the principal stresses.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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