Mohr's Circle Recap Flashcards
What does τ_xy represent in stress analysis?
τ_xy is a shear stress acting on the x-plane in the y-direction.
What does τ_yx represent in stress analysis?
τ_yx is a shear stress acting on the y-plane in the x-direction.
What does a positive shear stress do to an element?
It tries to rotate the element anticlockwise.
What does a negative shear stress do to an element?
It tries to rotate the element clockwise.
If τ_xy is positive, what is the sign of τ_yx and why?
τ_yx is negative because they act in opposing rotational senses.
What is Mohr’s Circle used for?
It is a 2D geometric representation of the transformation of stresses.
How is Mohr’s Circle useful?
It visualises relationships between direct and shear stresses, and helps determine principal stresses and planes.
What is the center of Mohr’s Circle?
C = (σ_x + σ_y) / 2
How do you calculate the radius of Mohr’s Circle?
R = sqrt[((σ_x - σ_y)/2)^2 + τ_xy^2]
What are the principal stresses (circle touches the x-axis) in Mohr’s Circle?
σ_1 = C + R and σ_2 = C - R
Where do shear stresses become zero?
On the principal planes.
How do you find the maximum shear stress from Mohr’s Circle?
τ_max = R
