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Niall11
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1. The problem statement, all variables and given/known
I have been asked to calculate the minimum length of this column (attatched) at which buckling is likely to occur
E.S.R = sqrt(π^2*E / σ)
2nd moment of Area I = AK^2
E.S.R = L/K
I= π/32*(D^4-d^4)
3. The Attempt at a Solution
so E.S.R = sqrt(π^2*200*10^9 / 140*10^6) = 118.74
Since I = AK^2 and E.S.R = L/K
L= (E.S.R)*K = (E.S.R)*sqrt(I/A)
so I = π/32 * (0.08^4-0.06^4) = 2.75*10-6Now L = 188.7 * sqrt(2.75*10-6 / Area)
ive got that far but don't know a suitable equation for area, I'm not looking for answers just for someone who can tell me if I'm on the right track, any help would be appreciated!
I have been asked to calculate the minimum length of this column (attatched) at which buckling is likely to occur
Homework Equations
E.S.R = sqrt(π^2*E / σ)
2nd moment of Area I = AK^2
E.S.R = L/K
I= π/32*(D^4-d^4)
3. The Attempt at a Solution
so E.S.R = sqrt(π^2*200*10^9 / 140*10^6) = 118.74
Since I = AK^2 and E.S.R = L/K
L= (E.S.R)*K = (E.S.R)*sqrt(I/A)
so I = π/32 * (0.08^4-0.06^4) = 2.75*10-6Now L = 188.7 * sqrt(2.75*10-6 / Area)
ive got that far but don't know a suitable equation for area, I'm not looking for answers just for someone who can tell me if I'm on the right track, any help would be appreciated!