Q1 Mohr’s Circle Flashcards
1
Q
How to calculate 2THETAp from a circle, and hence THETA
A
2THETA.p = tan^-1(TAU.xy/SIGMA.x - SIGMA.av)
SIGMA.av = (SIGMA.1 + SIGMA.2)/2
Hence, THETA = above/2
2
Q
How to calculate the radius R for a mohr’s circle
A
R = sqrt((SIGMA.x - SIGMA.y)^2 + TAU.xy^2)
3
Q
How to get principle stresses for mohr’s circle
A
Principle Stresses = SIGMA.av +- R
Where R is the radius
4
Q
How to find principle stresses of a stress state matrix?
A
From top left to bottom right with LAMBDA, then find determinant:
|11-LAMBDA 12|
|21 22-LAMBDA|
Now find value of LAMBDA from quadratic eq formula
