- #1
jrautenb
- 1
- 0
Hello all,
I'm working on a problem related to my MS thesis (in Civil Engineering, not mathematics). I have come across an integral on which I have spent entirely too long.
If I could get some pointers, I'd greatly appreciate it.
[tex]\int [E(x) \cdot (u''(x))^2 \cdot dx] [/tex]
It is a definite integral over the length, L, of a beam, but that doesn't really matter too much.
E(x) = Eo*(1+x/L) with Eo and L being constants
u(x) = a2*x^2+a3*x^3+a4*x^4 with a1, a2, a3, and a4 being constants
u''(x) is the second derivative of u(x) with respect to x.
Any help would be greatly appreciated.
Thanks,
JRautenb
I'm working on a problem related to my MS thesis (in Civil Engineering, not mathematics). I have come across an integral on which I have spent entirely too long.
If I could get some pointers, I'd greatly appreciate it.
[tex]\int [E(x) \cdot (u''(x))^2 \cdot dx] [/tex]
It is a definite integral over the length, L, of a beam, but that doesn't really matter too much.
E(x) = Eo*(1+x/L) with Eo and L being constants
u(x) = a2*x^2+a3*x^3+a4*x^4 with a1, a2, a3, and a4 being constants
u''(x) is the second derivative of u(x) with respect to x.
Any help would be greatly appreciated.
Thanks,
JRautenb