line 6: (1.57 x 10^-4) x 2*ri(hollow) = ((Pi*((2ri)^4 - ri^4))/2)
line 7: 2*(1.57 x 10^-4) x 2*ri(hollow) =Pi*((2ri)^4 - ri^4
line 8: 2*(1.57 x 10^-4) x 2*ri(hollow) = (Pi*(2ri)^4) - (Pi*ri^4))
line 9: 2*(1.57 x 10^-4) x 2*ri(hollow) = Pi*ri^4
line 10: (2*(1.57 x 10^-4) x 2*ri(hollow)/pi =...
Ok, So my Steps were ar follows:
J(solid)/R(solid) = J(hollow)/R(hollow)
We know that...
J(solid)/R(solid) = ((Pi x 0.1^4)/2) / 0.1 = 1.57 x 10^-4
So then...
1.57 x 10^-4 = J(hollow)/R(hollow)
Move R(hollow) across
(1.57 x 10^-4) x Ro(hollow) = J(hollow)
We also know...
I've tried to derive, re-derive and re-arrange the formula ll week and I'm still struggling. Just to be clear, the R (hollow) which I use for the main equation is the same as Radius Outer (Ro) isn't it?
I just can't seem to get it right, any more hints?
I think I'm having trouble re-arranging the J(hollow) formula to find the unknown ro.
Is the answer which I was provided with by my tutor actually correct? 102mm id 204mm od?
the transposition I keep coming to is the post above is that correct?
Thanks!
I still can't get the answer... I feel so dumb!
I have used the equation to get the new J/r(solid) figure of 1.57x10^-3
Then I get the full transposition for the outer radius of the hollow shaft (to get 'ro') to be:
ro= (4x(1.57x10^-3)/Pi)^(0.33333)
When I apply this...
So I know:
J(solid)
r(Solid)
J/r (solid) = 3.14x10^-3
Then by transforming J(hollow) into Pi(ro^4 - ri^4)/2 and letting that = r(hollow) x 3.14x10^-3, I can then transpose the equation to find ro.
Is this all correct?
I find the transposition to be 0.01256 x 2r(hollow) = Pi x...
Thanks for your help nvn, but I am still stuck...
I have used the equations J(soild)/r(solid) = J(hollow)/r(hollow)
(I have canceled out the Torques and the stresses from the equations due to the fact they must remain constant to both shafts)
I have then transposed the J (Pi(ro^4 -...
1. Hey everyone, I'm brand new to this site and am requiring some help and a push in the right direction. Here's my problem, I have a solid circular shaft of 200mm diameter, and it is to be replaced with a hollow shaft having a diameter ratio of 2. I need to determine the dimensions of the...